Novozymes A/S v. Genencor International, Inc.

446 F. Supp. 2d 297, 2006 U.S. Dist. LEXIS 60145, 2006 WL 2456462

• Court: District Court, D. Delaware
• Decided: August 24, 2006
• Docket: CIV.A. 05-160-KAJ
• Status: Published

Opinion

FINDINGS OF FACT AND CONCLUSIONS OF LAW

JORDAN, District Judge.

TABLE OF CONTENTS

I. INTRODUCTION.........................................................303

II. FINDINGS OF FACT......................................................303

A. The Parties ...........................................................303

B. Technological Background ..............................................303

1. Alpha-Amylases....................................................303

2. Protein Engineering................................................304

3. Claims of the ’031 Patent............................................305

C. Prosecution History of the ’031 Patent....................................306

1. The Original Claims ................................................306

2. The First Office Action..............................................307

a. Written Description and Enablement..............................307

b. Obviousness....................................................308

3. Novozymes’s Response..............................................308

4. The Second Office Action............................................309

5. Evidence of Unexpected Results......................................310

6. Allowance.........................................................311

D. The Machius Reference.................................................312

E. Marketing of Spezyme Ethyl............................................313

F. Amino Acid Sequences of Spezyme Ethyl and G997.........................313

III. CONCLUSIONS OF LAW..................................................315

A. Claim Construction.....................................................315

1. “Bacillus stearothermophilus Alpha-Amylase”.........................317

a. The Parties’ Proposed Constructions..............................317

b. The Court’s Construction........................................317

i. The Term is Not Limited to SEQ ID NO:3.....................317

ii. The Term is Not Limited to Proteins of a Particular Length.....318

2. “% Homology”.....................................................319

a. The Parties’ Proposed Constructions..............................319

b. The Court’s Construction........................................319

B. Infringement..........................................................321

1. Claim 1 ...........................................................321

2. Claim 3 ...........................................................322

3. Claim 5 ...........................................................322

C. Invalidity.............................................................322

1. Obviousness.......................................................323

a. Suzuki and Bisg°ard-Frantzen ...................................323

b. Unexpected Results.............................................324

i. Suzuki Conditions..........................................324

ii. Experimental Procedures....................................325

iii. Expected Results...........................................327

c. Machius.......................................................328

2. Enablement .......................................................329

D. Unenforceability.......................................................330

1. Inequitable Conduct................................................330

a. The Borchert Declaration........................................331

b. Failure to Disclose the Machius Reference.........................332

2. Prosecution Laches.................................................333

IV. SUMMARY OF CONCLUSIONS..... ......................................333

I. INTRODUCTION

This is a patent infringement case. No-vozymes A/S (“Novozymes”) has sued Genencor International, Inc. (“Genencor”) and Enzyme Development Corporation (“EDC”) (collectively “Defendants”), alleging infringement of U.S. Patent No. 6,867,031 (issued Mar. 15, 2005) (the “ ’031 patent”). Trial of this matter has been bifurcated: a bench trial on patent infringement, invalidity, and unenforceability was held from March 6 to March 9, 2006, and a second bench trial on willfulness and damages is scheduled to begin on October 10, 2006. The following, issued pursuant to Federal Rule of Civil Procedure 52(a), are my findings of fact and conclusions of law as to the liability issues tried last March.

For the reasons that follow, including my decision on claim construction, I conclude that Defendants have infringed claims 1, 3, and 5 of the ’031 patent, that those claims are valid, and that the ’031 patent is enforceable. Accordingly, this case will proceed to the second phase trial to decide the issues of willfulness and damages.

II. FINDINGS OF FACT 1

A. The Parties

1. Novozymes is a Danish corporation with a place of business in Bagsvaerd, Denmark. (Uncontested Facts, Docket Item [“D.I.”] 101 at ¶ III.A.) Novozymes is the sole assignee of the ’031 patent titled “Amylase Variants.” (’031 patent.)

2. Genencor is a Delaware corporation having a principal place of business in Palo Alto, California. (Uncontested Facts, D.I. 101 at ¶ III.B.) Genencor sells an alpha-amylase product under the brand name Spezyme® Ethyl. (Id. at ¶ III.V.)

3. EDC is a Delaware corporation having a principal place of business in New York, New York. (Id. at ¶ III.C.) EDC is a United States distributor of Genencor’s Spezyme Ethyl. (Id. at ¶ III.W.)

B. Technological Background

1. Alpha-Amylases

4. The ’031 patent relates to alpha-amylase enzymes. (’031 patent, 1:21-22.) Enzymes are catalysts, meaning that they increase the rate of chemical reactions. (Uncontested Facts, D.I. 101 at ¶ III.E; Arnold, 2 D.I. 120, Trial Transcript [“Tr.”] at 143:15-144:1.) The alpha-amylase enzymes described by the ’031 patent are proteins (Arnold, Tr. at 139:4-6) that catalyze the breakdown of alpha-1,4-glucosidic bonds (Uncontested Facts, D.I. 101 at ¶ III.E). Alpha-1,4-glucosidic bonds connect individual glucose molecules together to form starch molecules. (Id.) By breaking those bonds, alpha-amylases “break apart the starch complexes and convert complex starch into smaller, simpler groups of glucose molecules ____” (Id.)

5. “[A]lpha-amylases are useful in a variety of commercial applications that involve the processing of starches [,includ ing] ... the fuel ethanol industry, where ethanol fuel is produced from starch-rich crops such as corn, barley, and wheat.” (Id. at ¶ III.G.) “Alpha-amylases are used in the fuel ethanol industry to liquefy and reduce the viscosity of starch feedstocks so that they are easier to process in the manufacturing plant.” (Id. at ¶ III.H.)

6. In the process of fuel ethanol production, alpha-amylases are typically added to a starch slurry that is subjected to temperatures above 100°C for up to ten minutes, followed by an incubation at 80°C for a few hours. (Borchert, 3 Tr. at 25:8-15.) Hence, the thermostability of the enzyme, its capacity to withstand high temperatures, is important to its effectiveness in industrial applications. (See id. at 25:19-26:4.) By using alpha-amylases with better thermostability, manufacturers can use less of the enzyme and reduce costs. (Id. at 26:5-9, 29:12-20.)

7. One way to improve the thermosta-bility of alpha-amylases is to add high levels of calcium to the starch slurry. (Id. at 26:15-22.) But high calcium levels interfere with later processing, so that the calcium has to be removed, an additional step that is inconvenient and increases costs. (Id. at 26:25-27:14, 29:18-20.)

8. The ’031 patent is directed at alpha-amylases, produced by protein engineering, that are thermostable in industrial applications, without the need for added calcium. (Id. at 26:5-11; see generally ’031 patent, 9:48-11:65.)

2. Protein Engineering

9. Like all proteins, alpha-amylases are polymers composed of amino acids linked together by peptide bonds into a linear chain. (Uncontested Facts, D.I. 101 at ¶ III.I.) Each protein chain includes many amino acids assembled in a particular order, so that a particular protein may be identified by its ordered sequence of amino acids. (Id.) That ordered sequence is referred to as the protein’s “amino acid sequence” or its “primary structure.” (Id.)

10. “One end of a protein chain of amino acids is called the ‘N-terminus,’ and the other end is called the ‘C-terminus.’ ” (Id. at ¶ III.J.) Scientists write an amino acid sequence by listing the amino acids in order from the N-terminus to the C-terminus, using one-letter codes for each of the twenty naturally occurring amino acids. (Id. at ¶ III.K) For example, the amino acid alanine has the one-letter code “A”, and asparagine has the one-letter code “N”. (’031 patent, 6:44-47.) Protein sequences written using the one-letter codes are disclosed in the ’031 patent. (Id. at Fig. 1.)

11. “It can be informative when comparing proteins to compare their respective amino acid sequences.” (Uncontested Facts, D.I. 101 at ¶ III.N.) The amino acid sequences are typically “aligned” with one another to achieve a visual correspondence of individual amino acids or groups of amino acids that are common to the proteins being compared. (Id.) Once sequences are aligned, the percentage of identical amino acid mátches in the aligned proteins can be calculated and reported as a percent of “identity,” also referred to at times as “homology.” (Id. at ¶ III.O.) Generally, the alignments and calculations may be done using computer software. (’031 patent, 4:36-45; Devereux, 4 Tr. at 103:20-104:4, 106:11-107:2 (briefly describing the use of software to align protein sequences).)

12. The function of a protein and the conditions under which it can perform that function are determined at least in part by the protein’s amino acid sequence. (Uncontested Facts, D.I. 101 at ¶ III.M.) That is because a particular linear chain of amino acids will fold into a characteristic three-dimensional structure. (Borchert, Tr. at 21:1-7.) The so-called “tertiary” structure of a protein describes the relative positions in three-dimensional space of the protein’s atoms. (Machius, 5 Tr. at 456:13-19.) That tertiary structure is the specific overall shape of the protein (id. at 456:13-15), which determines the protein’s function (id. at 457:15-22). 6

13. Because of the relationship between protein sequence, structure, and function, one can alter the function or other properties of a protein by altering its sequence. Protein engineering is “the deliberate modification of the amino acid sequence of [a] protein,” so that the protein’s properties can be studied or improved. (Arnold, Tr. at 135:16-21.) Protein sequences can be modified by making substitutions, insertions, or deletions of amino acids in the sequence. (Borchert, Tr. at 23:12-13.)

14. Protein engineers modify a protein sequence by changing the DNA sequence of the gene that encodes that protein. (Al-ber, 7 Tr. at 202:23-203:11; Arnold, Tr. at 139:21-140:5.) Each amino acid in a protein sequence corresponds to a triplet of nucleotides in the DNA sequence of the corresponding gene. (Alber, Tr. at 202:25-203:3.) The DNA sequence may be modified “very precisely” (id. at 203:5-6), thus allowing the modification of protein sequences.

3. Claims of the ’031 Patent

15. Novozymes is asserting claims 1, 3, and 5 of the ’031 patent. (See, e.g., D.I. 118 at 22-26.) Those claims relate to alpha-amylases originally found in a species of bacteria named Bacillus stearothermo-philus 8 but then engineered for improved thermostability. (’031 patent, 65:11-17, 65:21-66:12, 66:16-19.)

16. Specifically, claims 1, 3, and 5 relate to alpha-amylases that have two particular amino acids deleted, those at positions 179 and 180, using the numbering of a reference Bacillus stearothermophilus alpha-amylase sequence given in the patent, “SEQ ID NO:3.” (’031 patent, 65:11-17, 65:21-66:12, 66:16-19.) Those alpha-amylases have improved thermostability without the need for calcium as an added support at high temperature. (Borchert, Tr. at 26:5-11; ’031 patent, 9:48-59, 9:62-66,10:40-48,11:41-65.)

17. Claim 1 of the ’031 patent reads:

A variant of a parent Bacillus stearoth-ermophilus alpha-amylase, wherein the variant has an amino acid sequence which has at least 95% homology to the parent Bacillus stearothermophilus alpha-amylase and comprises a deletion of amino acids 179 an [sic] 180, using SEQ ID NO:3 for numbering, and wherein the variant has alpha-amylase activity.

(’031 patent, 65:11-17.)

18. Claim 3 reads:

A variant alpha-amylase, wherein the variant has at least 95% homology to SEQ ID NO:3 and comprises a deletion of amino acids 179 and 180, using SEQ ID NO:3 for numbering and wherein the variant has alpha-amylase activity.

(Id. at 65:21-66:12.)

19. Claim 5 reads:

A variant of a Bacillus stearothermophi-lus alpha-amylase, wherein the alpha-amylase variant consists of a deletion of amino acids 179 and 180, using SEQ ID NO:3 for numbering.

(Id. at 66:16-19.)

C. Prosecution History of the ’031 Patent

20. The application that issued as the ’031 patent, Application No. 10/025,648 (the “ ’648 application”), was filed on December 19, 2001. (’031 patent, cover page.) The ’648 application was filed as a division of Application No. 09/902,188, filed July 10, 2001, which was a continuation of Application No. 09/354,191, filed July 15, 1999, which was a continuation of Application No. 08/600,656, filed February 13, 1996, which was a continuation of International Application No. PCT/DK96/00056, filed February 5, 1996. (Id.) The ’648 application claimed priority to a group of four Danish patent applications filed from February 3 to October 6, 1995. (Id.) To support an effective filing date for a United States patent, a foreign priority application must provide a sufficient written description of what is claimed in the United States patent. In re Gosteli, 872 F.2d 1008, 1010-11 (Fed.Cir.1989). The earliest of the four Danish applications that discloses a Bacillus stearothermophilus alpha-amylase is the one that was filed on March 29, 1995, Application No. PA 1995 00336. (Trial Exhibit [“TX”] 101, D.I. 121 at A-7955-8035.) Thus, according to Defendants (D.I. 115 at 4-5, ¶¶ 22-23), no earlier Danish application will support an effective filing date for the ’031 patent, and the earliest possible effective filing date for that patent is March 29,1995. 9

1. The Onginal Claims

21. A preliminary amendment to the ’648 application was filed on December 19, 2001. (TX 101, D.I. 121 at A-7045-48.) That amendment canceled claims 1-29 and added 18 new claims, numbered 30-47. (Id.) New claims 30-39 were directed to alpha amylases, and claims 40-47 were directed to DNA, vectors, host cells, and methods of expressing the alpha-amylases. (Id.)

22. Claim 30 was an independent claim that read:

A variant of a parent alpha-amylase enzyme, wherein said parent alpha-amylase has an amino acid sequence which has at least 80% homology to SEQ ID NO:3, and wherein said variant comprises deletions at positions equivalent to positions 179 and 180 in SEQ ID NO:3 (using SEQ ID NO:3 for numbering).

(Id. at A-7045.)

23. Claims 31-34 depended directly from claim 30. (Id. at A-7045-46.) Claims 31-33 specified the homology between the parent alpha-amylase amino acid sequence and SEQ ID NO:3 as at least 85%, 90%, and 95% respectively. (Id. at A-7045.) Claim 34 claimed “[t]he variant of claim 30, wherein the variant further comprises amino acid substitutions of a cysteine at positions equivalent to positions 349 and 428 in SEQ ID NO:3.” (Id. at A-7046.)

24. Claim 35 was an independent claim that read:

An isolated alpha-amylase enzyme comprising an amino acid sequence having an amino acid sequence which has at least 80% homology to SEQ ID NO:3, modified by having deletions at positions equivalent to positions 179 and 180 in SEQ ID NO:3.

(Id.)

25. Claims 36-39 depended directly from claim 35. (Id.) Claim 36 claimed “[t]he alpha-amylase enzyme of claim 35, wherein said alpha-amylase enzyme is further modified by having amino acid substitutions of a cysteine at positions equivalent to 349 and 428 in SEQ ID No:3.” (Id.) Claims 37-39 specified the homology between the alpha-amylase amino acid sequence and SEQ ID NO:3 as at least 85%, 90%, and 95% respectively. (Id.)

2. The First Office Action

26. The examiner issued an office action on July 29, 2003. (Id. at A-7619-29.) After a restriction requirement, the applicants elected to prosecute claims 30-39. (Id. at A-7621, A-7636.)

a. Written Description and Enablement

27. The examiner rejected claims 30-34 for failing to meet the written description requirement of 35 U.S.C. § 112. (Id. at A-7623.) According to the examiner, the specification only described a few representative species of the genus of enzymes that were included in the scope of claims 30-34. (Id.) As written, those claims included variant enzymes “with any number of alterations of the parent enzyme as long as amylase activity is maintained.” (Id.) Given that scope, the specification failed to sufficiently describe the invention so that a skilled artisan would recognize that the applicants were in possession of the invention. (Id.)

28. The examiner also rejected claims 30-34 under 35 U.S.C. § 112, because the specification did not enable one skilled in the art to practice the full scope of the claims. (Id. at A-7624-27.) While claims 30-34 required the parent alpha-amylases to have at least 80% homology to SEQ ID NO:3, the variants were not so limited. (Id. at A-7624.) The claims covered variants “with any number of alterations of the parent enzyme as long as amylase activity is maintained,” and as long as the alterations included the deletions of the two amino acids at positions equivalent to 179 and 180 in SEQ ID NO:3. (Id.) Considering the number of possible variants, the unpredictability of the art of protein engineering, and the lack of any detailed instruction as to which regions of the alpha-amylase enzymes could be modified without destroying the alpha-amylase activity, the examiner concluded that the specification did not enable one to make variants with any number of alterations relative to the parent. (Id. at A-7625-27.)

29. The examiner noted that the written description and enablement rejections for claims 30-34 would be overcome if claim 30 was amended so that the class of claimed variants were required to have “at least 80% sequence identity to SEQ ID NO:3.” (Id. at A-7627.) 10

b. Obviousness

30. The examiner rejected claims 30-33, 35, and 37-39 under 35 U.S.C. § 103(a) as obvious in light of two references. (Id. at A-7627-28.)

31. The first reference (“the Suzuki reference” or “Suzuki”), titled “Amino Acid Residues Stabilizing a Bacillus a-Amylase against Irreversible Thermoinactivation” and authored by Suzuki et al., was published in the Journal of Biological Chemistry in 1989. (TX 115, D.I. 122 at A-8233-38.) Suzuki disclosed alpha-amylases from Bacillus amyloliquefaciens that were modified by the deletion of two amino acids at positions 176 and 177. (Id. at A-8233, A-8237-38.) Alpha-amylases with those deletions had better thermostability. (Id. at A-8237-38.)

32. The second reference (“the Bisgárd-Frantzen reference” or “Bisgárd-Frantzen”) was a patent application, Publication No. WO 95/10603, published April 20, 1995 and titled “Amylase Variants.” (TX 177, D.I. 122 at A-8403-507.) Bisgárd-Frantzen disclosed that the alpha-amylases of Bacillus amyloliquefaciens, Bacillus stearothermophilus, and Bacillus licheniformis were “highly homologous on the amino acid level.” (Id. at A-8413-14.) A sequence alignment of those alpha-amy-lases showed that positions 176 and 177 of the Bacillus amyloliquefaciens enzyme corresponds to positions 179 and 180 of the Bacillus stearothermophilus enzyme. (Id. at A-8415-16.)

33. According to the examiner, “it would have been obvious to one of ordinary skill in the art to introduce the [deletions] disclosed by Suzuki ... into the corresponding positions [179 and 180] of Bacillus stearothermophilus a-amylase,” in order to increase its thermostability. (TX 101, D.I. 121 at A-7628.) Because of the similarity between the Bacillus amylo-liquefaciens and Bacillus stearothermo-philus alpha-amylases revealed by Bisgárd-Frantzen, one of ordinary skill in the art would, the examiner concluded, reasonably expect that the change in the Bacillus stearothermophilus alpha-amylase would give similar results as those disclosed by Suzuki for the Bacillus amy-loliquefaciens alpha-amylase. (Id.)

3. Novozymes’s Response

34. On January 13, 2004, Jason Gar-bell, an in-house patent attorney for Novo-zymes (Garbell, Tr. at 4:13-17), sent an email message to a group at Novozymes, including the inventors of the ’031 patent, commenting on the examiner’s obviousness rejection. (TX 110, D.I. 122 at A-8169-70.) In that e-mail, Mr. Garbell proposed two options for responding to the rejection: “Option 1” was to show by experiment that the claimed deletion in Bacillus stearothermophilus alpha-amylase yielded unexpected results, and “Option 2” was to add limitations to the rejected claims such as those in claims 34 and 36, which were not rejected for obviousness. (Id. at A-8170.) Mr. Garbell preferred Option 1, because that would not require narrowing the scope of the claims and would limit the design-around opportunities available to competitors. (Id.) Genencor was known to be one of those competitors. (Id. at A-8169 (referring to Genencor as GCI); Borchert, Tr. at 355:8-356:15.)

35. Mr. Garbell needed to respond to the office action by January 29, 2004 (TX 110, D.I. 122 at A-8170), and the scientists at Novozymes informed him that the experimental work required for Option 1 could not be completed by then (id. at A-8169, A-8171). It was suggested that proceeding with Option 2 would “give time” for carrying out the experiments, which might then support broader claims. (Id. at A-8169.)

36. On January 14, 2004, the applicants filed an amendment. (TX 101, D.I. 121 at A-7632-37.) In response to the obviousness rejection, claims 34 and 36 were canceled, and independent claims 30 and 35 were amended to add the limitations of claims 34 and 36, respectively. (Id. at A-7634, A-7637.)

37. In response to the written description and enablement rejections, the applicants amended claim 30 to recite that the variant “has at least 80% identity to said parent alpha-amylase.” (Id. at A-7634, A-7636-37.)

4. The Second Office Action

38. The examiner issued another office action on April 6, 2004. (Id. at A-7717-27.) The obviousness rejection was withdrawn. (Id. atA-7719.)

39. The examiner maintained the rejection of claims 30-33 for failure to meet the written description requirement. (Id. at A-7719-21.) Again, the examiner said that the specification described only a few of the many alpha-amylases covered by those claims, so that one skilled in the art could not conclude that the applicants had possession of the claimed invention. (Id. at A-7720-21.) The examiner suggested that the claims be narrowed by requiring the variants to have alpha-amylase activity. (Id. atA-7721.)

40. The examiner rejected claims 30-33, 35, and 37 for failure to meet the enablement requirement. (Id. at A-7721-26.) While the applicants had stated in their response to the first office action that claim 30 had been amended following the examiner’s suggestion (id. at A-7636-37), the examiner noted that the applicants “did not in fact amend the claim exactly as suggested” (id. at A-7725). Rather than requiring the variant to have at least 80% identity to SEQ ID NO:3, as the examiner had suggested (Finding of Fact [“FF”] ¶ 29), the applicants amended claim 30 to require the variant to have at least 80% identity to the parent alpha-amylase (FF ¶ 37). However, the examiner acknowledged that the amendment was “similar” to her suggestion. (TX 101, D.I. 121 at A-7725.) Still, while the examiner recognized that the scope of claims 30-33 had been narrowed, “upon further reconsideration” she believed that the specification did not enable one of ordinary skill to make variants with at least 80% identity to the parent without undue experimentation. (Id.) As in the first office action, the examiner noted the large number of possible variants, the unpredictability of the art, and the lack of guidance about which regions of the alpha-amylases could be modified without losing enzyme activity. (Id. at A-7721-26.) Claims 35 and 37, which required the variant to have at least 80% and 85% homology to SEQ ID NO:3, respectively, were also not supported by an enabling disclosure, the examiner concluded. (Id.)

41. The examiner noted that the specification was enabling for alpha-amylases “having at least 90% homology to SEQ ID NO:3” and having the claimed modifications. (Id. at A-7721.) Thus, claims 38 and 39, which required at least 90% or 95% homology to SEQ ID NO:3, respectively, would be allowable, the examiner indicated, if they were rewritten in independent form. (Id. at A-7726.)

5. Evidence of Unexpected Results

42. In an interview on September 3, 2004, Mr. Garbell and Dr. Borchert discussed with the examiner the obviousness rejection from the first office action. (Id. at A-7798-99.) The examiner stated that she was shown a draft declaration that “appear[ed] to show results sufficiently unexpected to overcome” the previous obviousness rejection. (Id. at A-7799.) Those unexpected results were later submitted to the examiner in the form of a declaration under 37 C.F.R. § 1.132, dated September 6, 2004 (the “Borchert Declaration”). (Id. at A-7739-56.)

43. The Borchert Declaration described the results of an experiment comparing the thermostability of Bacillus stearothermophilus alpha-amylase (“BSG”), 11 with and without deletion of residues 12 179 and 180, and Bacillus amy-loliquefaciens alpha-amylase (“BAN”), with and without deletion of residues 176 and 177. (Id. at A-7739, ¶ 3.) BAN was the alpha-amylase studied by Suzuki. (FF ¶ 31.)

44. Genes for the variants of BSG and BAN with their respective deletions (“BSGdel” and “BANdel” respectively) were constructed by standard methods and the gene sequences were confirmed by DNA sequencing. (TX 101, D.I. 121 at A-7740, ¶ 4.) Cells producing each of the four enzymes, BSG, BSGdel, BAN, and BAN-del, were grown under identical conditions, and the alpha-amylases were separated from the cells by centrifugation. (Id. at A-7740, ¶ 5.) The alpha-amylase-containing supernatants 13 were diluted in buffer containing 0.1 mM calcium and incubated at 80°C in a PCR machine, 14 and at various times the alpha-amylase activity was measured. (Id.) According to the Borchert Declaration, the incubation temperature of 80°C was “the highest temperature where [all four alpha-amylases] could be reliably compared.” (Id.; see also Borchert, Tr. at 686:8-688:17 (describing the calibration experiments to determine the temperature at which all four enzymes would yield reliable measurements).)

45. The alpha-amylase activity of each sample was measured at various times, and the results were reported in tabular form as a percentage residual activity at each time. (TX 101, D.I. 121 at 7741-42, ¶ 6.) BSGdel maintained its activity for the longest period of time: 61% residual activity was measured at 4200 minutes, the last time point of the experiment. (Id.)

46. Four data points were omitted before the data were analyzed. First, two measurements for BSGdel taken at 2881 minutes were omitted by a Novozymes lab technician, Vibeke Holbo, because she noted that the sample used for those measurements had evaporated during incubation. (Holbo, 15 Tr. at 671:3-14; Borchert, Tr. at 384:22-385:2, 412:17-24.) Two other measurements for BSGdel taken at 2940 minutes were omitted by Dr. Borchert, because he noted that the measurements “were extremely far apart” and one showed activity above 130%. (Borchert, Tr. at 386:9-15, 412:25-413:2, 414:8-17.) Dr. Borchert decided that he could not “with any confidence include such measurements in the data analysis.” (Id. at 414:16-17.)

47. A regression analysis was conducted for each data series, and the half-life for each alpha-amylase, i.e. the time at which the alpha-amylase had half of its original activity (Klibanov, 16 Tr. at 515:18-25), was calculated. (TX 101, D.I. 121 at A-7742, ¶ 7.) The four half-lives were: BAN, 0.9 minutes; BANdel, 9.5 minutes; BSG, 92 minutes; BSGdel, 5775 minutes. (Id.) Based on those numbers, Dr. Borchert reported that the deletion of residues 176 and 177 in BAN improved thermostability 11-fold, and the corresponding deletion of residues 179 and 180 in BSG improved thermostability 63-fold. (Id.) Thus, the thermostability was improved 5.7 times as much in BSG as in BAN (63/11=5.7). (Id.)

48. According to Dr. Borchert, the deletion in BSG “has a pronounced and very surprising effect on the thermal stability.” (Id. at A-7743, ¶ 9.) “[The] results are statistically significant and very surprising as the effect of the double deletion in BSG is significantly greater than what would have been expected based on the combined teachings of Suzuki ... in view of Bis-gaard-Frantzen .... ” (Id. at A-7743-44, ¶ 9.)

6. Allowance

49. After the interview on September 3, the applicants submitted an amendment dated September 6, 2004 (id. at A-7733-56) that cancelled all the pending claims and added five new claims, numbered 48-52 (id. at A-7734). For claims 48, 50, and 52, the applicants removed the requirement for cysteine substitutions at positions 349 and 428, which had been added in response to the obviousness rejection from the first office action. (Id.) According to the applicants, an obviousness rejection based on Suzuki and Bisgárd-Frantzen, if it were reasserted by the examiner in response to the broadened claims, would be overcome by the evidence of unexpected results in the Borchert Declaration. (Id. at A-7736-37.)

50. In response to the earlier enablement and written description rejections, the applicants drafted claims 48-49 and 50-51 to require the variants to have at least 95% homology to the parent Bacillus stearothermophilus alpha-amylase and to SEQ ID NO:3, respectively, and to have alpha-amylase activity. (Id. at A-7734-36.) As to the enablement rejection, the applicants noted the examiner’s suggestion that the claims would be enabled if they required the variants to have at least 90% homology to SEQ ID NO:3. (Id. at A-7735-36; see FF ¶41.) The applicants argued that the enablement rejection was “rendered moot by the new claims as the new claims recite a homology of 95%.” (TX 101, D.I. 121 at A-7736.)

51. On September 21, 2004, the examiner issued a notice of allowance. (Id. at A-7791-97.) In her remarks, the examiner stated that the Borchert Declaration “establishes that the claimed variants exhibit unexpectedly large increases in ther-mostability when compared to the increases in thermostability obtained for the corresponding mutations taught by Suzuki et al. As such the claimed variants are non-obvious over the prior art.” (Id. at A-7796.) The examiner made no remarks concerning the written description and enablement rejections. (Id.)

52. Claims 48-52, submitted by the applicants on September 6, 2004, correspond to claims 1-5, issued without further amendment as the claims of the ’031 patent. (Compare id. at A-7734 with ’031 patent, 65:10-66:19.)

D. The Machius Reference

53. Another reference relating to alpha-amylases that was the subject of repeated emphasis during trial is entitled “Crystal Structure of Calcium-depleted Bacillus lichenifomiis a-amylase at 2.2 <A Resolution,” and was authored by Ma-chius 17 et al. and published in the Journal of Molecular Biology at least as early as March 13, 1995. (TX 173, D.I. 122 at A-8375-90; “the Machius reference”.) The applicants did not disclose the Machius reference to the examiner during prosecution of the ’648 application. (Garbell, Tr. at 11:22-12:6, 429:2-6; Borchert, Tr. at 372:7-15.)

54. That reference reports the three-dimensional structure of a calcium-free form of Bacillus lichenifomiis alpha-amylase (“BLA”) as determined using x-ray crystallography. (TX 173, D.I. 122 at A-8376, Abstract.) The Machius reference discusses the thermostability of alpha-amylases, including BAN and BSG, in the context of the three-dimensional structure of BLA. (Id. at A-8382-85, A-8387.) First, the reference showed a sequence alignment of BLA, BAN (which the reference referred to as “BAA”), and BSG (which the reference referred to as “BstA”), along with the secondary structure 18 elements of BLA determined from the three-dimensional structure. (Id. at A-8383-84, A-8387, Fig. 7.) The Machius reference stated that “[ajccording to the alignment, the three-dimensional structures of [BAN] and [BSG] can be expected to be very similar to that of BLA.” (Id. at A-8384.) While the paragraph leading up to that statement pointed to Figure 7 of the article, which included secondary structure information, the prediction about the similarity of three-dimensional structure between the three alpha-amylases is based, according to its own terms, on the sequence similarity shown by the “alignment.” (Id.; see also Machius, Tr. at 465:15-22, 492:17-21 (stating that, based on sequence similarity, it “would be reasonable to expect” similarity in three-dimensional structure).) That sequence similarity was also disclosed by the Bisgárd-Frantzen reference. (TX 177, D.I. 122 at A-8413, A-8415-16.)

55.Second, the Machius reference specifically discussed, in the context of the BLA structure, the deletions of amino acids 176 and 177 in BAN disclosed by Suzuki. (TX 173, D.I. 122 at A-8384.) The corresponding two amino acids in BLA are shown by Maehius’s three-dimensional structure to be in a loop on the surface of the protein. (Id.) Based on the predicted structural similarity between BLA, BAN, and BSG, the deleted amino acids in BAN and BSG would also be expected to be on surface loops. Because of their position on the surface of the protein, a person having ordinary skill in the art would predict that deleting those amino acids would be less likely to disrupt specific interactions that might vary slightly between BLA, BAN, and BSG. (Machi-us, Tr. at 774:3-22.) According to the reference, the presence of two extra amino acids on the surface loop “could cause increased mobility of this region and a decreased thermostability of the whole protein.” (TX 173, D.I. 122 at A-8384.) 19

56. The Machius reference does not specifically discuss whether a person having ordinary skill in the art would expect the deletion of residues 179 and 180 in BSG to give improved thermostability, although that conclusion might be drawn from the predicted structural similarity between BSG and BAN. The Machius reference also does not discuss the degree of improvement that might be expected.

E. Marketing of Spezyme Ethyl

57. Genencor and EDO began selling the accused product, Spezyme Ethyl, in the United States by April 2004. (Uncontested Facts, D.I. 101 at ¶ III.X.)

58. Genencor sold other alpha-amylas-es before Spezyme Ethyl (Crabb, 20 Tr. at 32:12-18), including one product called — in an apparent homage to the Mertz family of “I Love Lucy” fame — Spezyme Fred (id. at 35:3-9). None of those products had a sufficient combination of acid tolerance, thermostability, and low cost to be economically viable for use in fuel ethanol production. {Id. at 32:19-24.) Some Gen-encor customers demanded an alpha-amylase that was better suited for fuel ethanol production. {Id. at 36:3-22.) Efforts to modify Spezyme Fred did not result in a commercialized product for the fuel ethanol market. {Id. at 38:6-39:11.)

59. Since April 2004, sales of Spezyme Ethyl have been considerable. {See Uncontested Facts, D.I. 101 at ¶ III.Y.)

F. Amino Acid Sequences of Spezyme Ethyl and G997

60. The parties agree on the amino acid sequence of Spezyme Ethyl. {Id. at ¶ III.Z.) That sequence is 484 amino acids long, and ends with the following ten amino acids at the C-terminus: VSVWVPRKTT. {Id.; TX 125, D.I. 122 at A-8345.)

61. The gene for Spezyme Ethyl was originally engineered from an alpha-amylase gene from Bacillus stearothermophi-lus strain ATCC No. 39,709. (TX 194 at A-8521.) An alpha-amylase produced from that gene, before the gene was modified to produce Spezyme Ethyl, was sold by Genencor as “G997.” (Crabb, Tr. at 45:16-19, 46:10-13.) One of Genencor’s scientists characterized G997 as a “wild type” Bacillus stearothermophilus product (id. at 40:1-3), a term that means that it is the product of a gene taken from a naturally occurring organism before any modifications are made (Arnold, Tr. at 137:25-138:7).

62. The parties do not agree on the sequence of G997. Specifically, while Novo-zymes presented a single sequence for G997, Defendants argue that there is no single, stable sequence for G997. (D.I. 116 at 10-11.) Instead, according to Defendants, G997 is a mixture of proteins, each of which has a different number of amino acids deleted from the C-terminus, a feature that Defendants contend disqualifies G997 from being a “Bacillus stearothermo-philus alpha-amylase”, as that term is used in claims 1 and 5. See infra Section III.B.l.

63. The amino acid sequence of G997 presented by Novozymes at trial (TX 199, D.I. 122 at A-8529) was determined using mass spectrometry. (Jorgensen, 21 Tr. at 71:16-21; TX 206, D.I. 122 at A-8537-39.2.) At the trial, questions were raised about the provenance of the G997 sample that was analyzed (see Tr. at 74-76), so the parties agreed that a G997 sample would be provided by Genencor at the close of trial (D.I.112). That sample was analyzed by Dr. Jorgensen using the same protocol he used to determine the sequence presented during the trial (TX 206, D.I. 122 at A-8537-39.2), and its amino acid sequence (TX 226, D.I. 122 at A-8556.1) was the same as that presented at trial (TX 199, D.I. 122 at A-8529). The parties have stipulated that the sequence in the exhibit marked “TX 226” is the only sequence of the only alpha-amylase determined by No-vozymes to be present in the G997 sample provided by Genencor. (D.I.112.) That sequence is 486 amino acids long, and ends with the following ten amino acids at the C-terminus: VSVWVPRKTT. (TX 226, D.I. 122 at A-8556.1)

64. Judy Chang, a research associate at Genencor (Crabb, Tr. at 50:13-18), wrote an analytical report dated April 19, 2004 concerning the sequences of G997, Spezyme Ethyl (which was also referred to in the report as “EBS2”), and another alpha-amylase called Termamyl SC. (TX 161, D.I. 122 at A-8365-74.) Ms. Chang reported a single molecular weight for each of the three proteins, determined by mass spectrometry. (Id. at A-8368, Table 2.) The measured molecular weights for all three proteins were less than the “theoretical molecular weight” calculated from the DNA sequence of the respective genes. (Id. at A-8368.) The three proteins were then subjected to digest mapping (id.), a process that yields fragments whose size depends on the particular amino acid sequence of the proteins (id. at A-8366). According to that analysis, “[fjragments were detected which corresponded to the N-terminus for all three enzymes. However, no fragments within 27-29 residues of the C-terminus were found. A truncation of 27-29 amino acids [from the C-terminus] would be consistent with the molecular weights measured for the intact proteins.” (Id. at A-8368-69.)

65. Testifying on behalf of Defendants, Dr. Alber stated that he interpreted Ms. Chang’s report to show multiple sequences for G997, which had different lengths corresponding to deletions of 27, 28, and 29 amino acids from the C-terminus. (Alber, Tr. at 249:13-17, 280:9-19, 291:12-292:8.) Dr. Alber supported that interpretation by pointing to Ms. Chang’s statement about a truncation of “27-29 amino acids” (id. at 280:9-19) and her use of the plural, “molecular weights,” in the description of her results. (Id. at 291:12-292:8.)

66. I conclude that Dr. Alber’s interpretation is incorrect. First, Ms. Chang reports only one measured molecular weight for each of the three proteins analyzed, including one for G997. (TX 161, D.I. 122 at A-8368, Table 2.) Dr. Alber speculates that the reported molecular weight in Table 2 of the report must be just one of several measured for G997 (Alber, Tr. at 289:8-15), but there is no specific support for that in the report. Second, the digest mapping experiment found “no fragments within 27-29 residues of the C-terminus” (TX 161, D.I. 122 at A-8368-69), indicating that the location of the truncation could not be more precisely determined. The discussion of a truncation of 27-29 amino acids thus appears to reflect the realities of the experiment, rather than the detection of multiple proteins with different truncations. Third, Ms. Chang’s reference to “molecular weights” refers to the weights “measured for the intact proteins,” i.e., the three proteins that were analyzed: G997, Spezyme Ethyl, and Termamyl SC. (TX 161, D.I. 122 at A-8368-69.) The statement does not show that multiple weights were measured for G997 alone.

67. Thus, Ms. Chang’s report is consistent with the sequence of G997 reported in TX 226, which contains a 29 amino acid deletion at the C-terminus relative to the sequence predicted from the gene. (Compare TX 226, D.I. 122 at A-8556.1 with TX 161, D.I. 122 at A-8367, Fig. 1.)

68. Two other sequences were determined by Dr. Jorgensen for alpha-amylas-es produced from the same source as G997, Bacillus stearothermophilus strain ATCC No. 39,709, and those sequences have fewer than 29 amino acids deleted from their C-terminuses. (TX 135, D.I. 122 at A-8357; TX 201, D.I. 122 at A-8531; Jorgensen, Tr. at 661:15-663:7.) However, those sequences were not determined from samples of G997 alpha-amylase as sold by Defendants, and so the sequences do not demonstrate variations in G997. While the sequences reflected in exhibits TX 135 and TX 201 have different C-terminal endings than the sequence in TX 226, those differences apparently reflect variations in conditions of protein expression, including the organism in which the protein is produced. (Jorgensen, Tr. at 663:8-16, 664:9-15.)

69.In sum, the preponderance of the evidence shows that there is one sequence for G997: the one reported in TX 226. I conclude that TX 226 accurately states the sequence of G997.

III. CONCLUSIONS OF LAW

1. Jurisdiction over the subject matter of this action is proper under 28 U.S.C. §§ 1331 and 1338.

A. Claim Construction

2. A patent infringement analysis involves two steps: claim construction and the application of the construed claim to the accused process or product. Mark-man v. Westview Instruments, Inc., 52 F.3d 967, 976 (Fed.Cir.1995) (en banc), aff'd, 517 U.S. 370, 116 S.Ct. 1384, 134 L.Ed.2d 577 (1996). To allow the trial to be held on an expedited basis, I bifurcated this case and combined the claim construction hearing and liability phase of the trial. (See 10/19/05 preliminary injunction hearing transcript at 65.)

3. Patent claims are construed as a matter of law. Cybor Corp. v. FAS Techs., Inc., 138 F.3d 1448, 1454-56 (Fed.Cir.1998) (en banc). “[T]he words of a claim ‘are generally given their ordinary and customary meaning.’ ” Phillips v. AWH Corp., 415 F.3d 1303, 1312 (Fed.Cir.2005) (en banc) (quoting Vitronics Corp. v. Conceptronic, Inc., 90 F.3d 1576, 1582 (Fed.Cir.1996)). That ordinary meaning “is the meaning that the term would have to a person of ordinary skill in the art in question at the time of the invention.” Id. at 1313.

4. To determine the ordinary meaning of a term, the court should review “the same resources as would” the person of ordinary skill in the art. Multiform Desicants, Inc. v. Medzam, Ltd., 133 F.3d 1473, 1477 (Fed.Cir.1998). Those resources include “the words of the claims themselves, the remainder of the specification, the prosecution history, and extrinsic evidence concerning relevant scientific principles, the meaning of technical terms, and the state of the art.” Innova/Pure Water, Inc. v. Safari Water Filtration Sys., Inc., 381 F.3d 1111, 1116 (Fed.Cir.2004).

5. “[T]he claims themselves provide substantial guidance as to the meaning of particular claim terms.” Phillips, 415 F.3d at 1314. Both “the context in which a term is used in the asserted claim” and the “[o]ther claims of the patent in question” are useful for understanding the ordinary meaning. Id.

6. “[T]he specification ‘is always highly relevant to the claim construction analysis. Usually, it is dispositive; it is the single best guide to the meaning of a disputed term.’ ” Id. at 1315 (quoting Vitronics, 90 F.3d at 1582). In short, the claims “must be read in view of the specification, of which they are a part.” Markman, 52 F.3d at 979. Thus, “[t]he construction that stays true to the claim language and most naturally aligns with the patent’s description of the invention will be, in the end, the correct construction.” Renishaw PLC v. Marposs Societa’ per Azioni, 158 F.3d 1243, 1250 (Fed.Cir.1998).

7. On occasion, “the specification may reveal a special definition given to a claim term ... that differs from the meaning it would otherwise possess. In such cases, the inventor’s lexicography governs.” Phillips, 415 F.3d at 1316 (citing CCS Fitness, Inc. v. Brunswick Corp., 288 F.3d 1359, 1366 (Fed.Cir.2002)). The specification may also “reveal an intentional disclaimer, or disavowal, of claim scope by the inventor ... [which] is regarded as dispositive.” Id. (citing SciMed Life Sys., Inc. v. Advanced Cardiovascular Sys., Inc., 242 F.3d 1337, 1343-44 (Fed.Cir.2001)).

8. The court “should also consider the patent’s prosecution history.” Markman, 52 F.3d at 980. “Like the specification, the prosecution history provides evidence of how the [Patent and Trademark Office] and the inventor understood the patent.” Phillips, 415 F.3d at 1317 (citing Lemelson v. Gen. Mills, Inc., 968 F.2d 1202, 1206 (Fed.Cir.1992)).

9. The court may rely on extrinsic evidence, which is “all evidence external to the patent and prosecution history, including expert and inventor testimony, dictionaries, and learned treatises.” Markman, 52 F.3d at 980. In particular, “dictionaries, and especially technical dictionaries, ... have been properly recognized as among the many tools that can assist the court in determining the meaning of particular terminology.” Phillips, 415 F.3d at 1318 (citing Teleflex, Inc. v. Ficosa N. Am. Corp., 299 F.3d 1313, 1325 (Fed.Cir.2002)). However, extrinsic evidence is “less significant than the intrinsic record in determining ‘the legally operative meaning of claim language.’ ” C.R. Bard, Inc. v. U.S. Surgical Corp., 388 F.3d 858, 862 (Fed.Cir.2004) (quoting Vanderlande Indus. Nederland BV v. Int’l Trade Comm’n, 366 F.3d 1311, 1318 (Fed.Cir.2004)).

10. During claim construction, “[t]he sequence of steps used by the judge in consulting various sources is not important; what matters is for the court to attach the appropriate weight to be assigned to those sources in light of the statutes and policies that inform patent law.” Phillips, 415 F.3d at 1324.

11. Here, the parties agree about the meaning of the terms “variant,” which is used in claims 1, 3, and 5, and “parent,” which is used in claim 1. A variant is a protein that has been derived from a parent protein by protein engineering, so that there are substitutions, insertions, or deletions of amino acids in the variant relative to the parent. (’031 patent, 3:59-67; Arnold, Tr. at 137:23-138:9; Alber, Tr. at 202:8-11.)

12. The parties dispute the meaning of two claim terms: “Bacillus stearothermo-philus alpha-amylase,” which is used in claims 1 and 5, and “% homology,” which is used in claims 1 and 3.

1. “Bacillus stearothermophilus Alpha-Amylase”

a. The Parties’ Proposed Constructions

13. Novozymes contends that a Bacilkis stearothermophilus alpha-amylase is “the functional enzyme product that is produced from the alpha-amylase gene of a Bacillus stearothermophilus organism.” (D.I. 118 at 18.)

14.Defendants propose two constructions of the term. First, they argue that the ’031 patent prosecution history shows that the applicants defined Bacillus stear-othermophilus alpha-amylase as “an alpha-amylase having the amino acid sequence of SEQ ID NO:3.” (D.I. 116 at 5.) Alternatively, they argue that a person having ordinary skill in the art would understand that a Bacillus stearothermophilus alpha-amylase is “a 514- or 515-amino acid protein encoded by a wild type Bacillus stear-othermophilus alpha-amylase gene, minus the signal sequence.” (Id. at 8-9.)

15. The parties at least agree with the starting proposition that a Bacillus stear-othermophilus alpha-amylase is produced from a gene taken from a Bacillus stear-othermophilus bacterium. The narrowing constructions proposed by Defendants require that the alpha-amylase have either a particular sequence or a particular length.

b. The Court’s Construction

16. I conclude that Novozymes’s construction is the correct one. Neither the prosecution history nor the evidence concerning the expected length of an alpha-amylase supports the adoption of the narrower constructions proposed by Defendants.

i. The Term is Not Limited to SEQ ID NO:3

17. Defendants’ argument for their first proposed construction is based on the prosecution history of the ’031 patent, specifically, the applicants’ response to the examiner’s written description and enablement rejections. (D.I. 116 at 5-8.)

18. In the first office action, when the examiner issued rejections for failure to satisfy the written description and enablement requirements, she suggested that the rejections could be overcome by amending the claims to require “at least 80% identity” between the variant and SEQ ID NO:3. (FF ¶ 29.) In their response, the applicants did not make the suggested change, and instead amended the claims to require “at least 80% homology” between the variant and the parent Bacillus stear-othermophilus alpha-amylase. (FF ¶ 37.) In the second office action, the examiner, upon further consideration, again rejected the claims, and suggested that the rejections could be overcome by requiring “at least 90% identity” between the variant and SEQ ID NO:3. (FF ¶ 41.) The applicants responded by canceling the claims and adding new claims that required “at least 95% homology” between the variant and the parent Bacillus stearothermophi-lus alpha-amylase. (FF ¶ 50.) In support of those new claims, the applicants noted the examiner’s suggestion that the variants have 90% homology to SEQ ID NO:3 and argued that the rejection was “rendered moot ... as the new claims recite a homology of 95%.” (Id.)

19.According to Defendants, that exchange demonstrates that the applicants and the examiner both understood that the “Bacillus stearothermophilus alpha-amylase” 22 was the same as “SEQ ID NO:3.” (D.I. 116 at 7-8.) However, the prosecution history establishes that the examiner and the applicants recognized that the terms were not synonymous. In the second office action, the examiner pointed out that the applicants had not adopted her suggestion, but that the amendments were “similar.” (FF ¶ 40.) In their response to the second office action, the applicants stated that their invention was “directed to variants of Bacillus stearothermophilus alpha-amylase enzymes and to alpha-amylase variants having 95% homology to SEQ ID NO:3.” (TX 101, D.I. 121 at A-7736.) The applicants also stated that the specification described “variants of Bacillus stearothermophilus and variants having at least 95% homology to SEQ ID NO:3.” (Id. at A-7735.) Those statements describe two different sets of variants, those defined relative to Bacillus stearothermophi-lus alpha-amylase and those defined relative to SEQ ID NO:3. Thus, contrary to Defendants’ argument (D.I. 116 at 7-8), the record shows that the examiner and applicants understood that “SEQ ID NO:3” was not used interchangeably with “Bacillus stearothermophilus alpha-amylase” or “parent Bacillus stearothermophi-lus alpha-amylase.” That record is also consistent with the claims: claims 1 and 5 refer to a “Bacillus stearothermophilus alpha-amylase,” and claim 3 refers to “SEQ ID NO:3.” (’031 patent, 65:11-17, 65:21-66:12, 66:16-19.)

20. Therefore, the term “Bacillus stearothermophilus alpha-amylase” is not limited to SEQ ID NO:3.

ii. The Term is Not Limited to Proteins of a Particular Length

21. Defendants’ argument for their second proposed construction is based on the examples in the ’031 patent and on extrinsic evidence about alpha-amylases.

22. First, Defendants note that the examples of Bacillus stearothermophilus alpha-amylases disclosed in the patent have either 514 or 515 amino acids. (D.I. 116 at 9 (citing ’031 patent, Fig. 1, 7:32-35, sequence listing for SEQ ID NO:3).)

23. Second, Defendants emphasize extrinsic evidence to show that, at the patent’s critical date in 1995, Bacillus stear-othermophilus alpha-amylases would have been expected to have 514 or 515 amino acids after the removal of the N-terminal signal sequences. (Alber, Tr. at 209:2-18, 209:25-210:5, 211:6-212:3, 212:19-214:8; TX 142; TX 568; TX 628; TX 629; TX 630; TX 633; TX 634; TX 635.) According to Defendants, that information means that, by definition, a “Bacillus stearother-mophilus alpha-amylase” must be 514 or 515 amino acids in length. (D.I. 116 at 9-10.)

24. I disagree with Defendants’ conclusion that length is a defining feature of Bacillus stearothermophilus alpha-amylas-es. First, none of the evidence adduced by Defendants reports the complete, experimentally determined amino acid sequence of an alpha-amylase. Instead, that evidence shows the results of DNA sequencing of genes, alone (TX 142; TX 629; TX 630; TX 666) or in combination with amino acid sequencing of the N-terminus of the protein (TX 568; TX 628; TX 634; TX 666), and the results of gel electrophoresis experiments (TX 633; TX 635). That evidence may lead to the expectation that, if one were to do the experiment, an alpha-amylase would have a precise length of 514 or 515 amino acids. However, in 1995 the experiment remained to be done.

25. Second, even if Defendants had shown that all Bacillus stearothermophi-lus alpha-amylases had a specific length— which they have not shown — none of the evidence, including the ’031 patent itself, dictates that a Bacillus stearothermophi-lus alpha-amylase must have a particular length. The fact that examples in the patent have a given length is not sufficient to make that length a defining feature of Bacillus stearothermophilus alpha-amylas-es. I conclude that a person having ordinary skill in the art would not understand the ’031 patent to impose such a length requirement.

26. Therefore, the term “Bacillus stearothermophilus alpha-amylase” is not limited to proteins having 514 or 515 amino acids.

27. Accordingly, I conclude that the construction proposed by Novozymes is correct. A Bacillus stearothermophilus alpha-amylase is “the functional enzyme product that is produced from the alpha-amylase gene of a Bacillus stearothermo-philus organism.”

2. “% Homology ”

a. The Parties’ Proposed Constructions

28. Novozymes proposes that “% homology” means “a percent identity calculation according to the standard whereby the number of exactly matching amino acid residues in two sequences is compared to the total number of residue positions that are present in both sequences, expressed as a percent, e.g., as implemented by the GAP GCG program.” (D.I. 118 at 19.)

29. Defendants argue that the calculation of homology “requires use of any method that accounts for all substitutions, insertions, and deletions, including internal and terminal deletions, over the entire amino acid sequences of the variant and parent alpha-amylases identified in the claims.” (D.I. 115 at 63, ¶ 16.) That calculation is not consistent with Novozymes’s proposed construction, primarily because Novozymes’s calculation method does not count deletions.

30. Because Novozymes’s proposed construction is consistent with unambigu ous instructions given in the ’031 patent, I conclude that it is the correct construction.

31. According to the patent:

An amino acid sequence is considered to be X % homologous to the parent a-amylase if a comparison of the respective amino acid sequences, performed via known algorithms, such as the one described by Lipman and Pearson in Science 227 (1985) p. 1435, reveals an identity of X %. The GAP computer program from the GCG package, version 7.3 (June 1993), may suitably be used, employing default values for GAP penalties [Genetic Computer Group (1991) Programme Manual for the GCG Package, version 7, 575 Science Drive, Madison, Wis., USA 53711].

(’031 patent, 4:36-45.) Thus, according to that passage, “% homology” is equivalent to percent identity. (Devereux, Tr. at 124:22-25, 128:9-13; Arnold, Tr. at 140:6-14; Alber, Tr. at 294:5-9.) Also, the passage sets forth a methodology that, first, aligns the sequences and, second, calculates the percent identity from the alignment. (Devereux, Tr. at 126:9-12; Arnold, Tr. at 145:14-20; Alber, Tr. at 233:22-24.) Finally, a software package is suggested that “may suitably be used” to perform the alignment and calculation of identity.

32. Novozymes’s construction is based on the methodology used by that software package. In the GAP program, identity is calculated by counting the number of exact matches of amino acid residues between two aligned sequences and dividing by the number of positions where there are residues present in both sequences. (Devereux, Tr. at 109:22-110:6.) When one sequence has a residue with no corresponding residue in the other sequence, the program allows a gap in the alignment, and that position is not counted in the denominator of the identity calculation. (Id. at 109:13-21,110:7-111:12.)

33. Defendants argue that even though the patent states that GAP is suitable for the calculation, a person having ordinary skill in the art would understand that using GAP would be incorrect. (D.I. 116 at 11-14.) First, Defendants note that while GAP “may suitably be used,” it is not required, and that other methods for doing the calculation were available when the specification was written, methods that might give a different result. (Id. at 11-12 (citing Arnold, Tr. at 181:12-182:10, 190:19-191:3; Alber, Tr. at 234:25-235:8).)

34. Second, Defendants argue (D.I. 116 at 13-14) that the ’031 specification teaches that deletions, which will cause gaps in an alignment, are important modifications that can be made by protein engineers. Indeed, the patent includes deletions in its general description of possible modifications (’031 patent, 3:59-65) and the claims themselves require deletions at positions 179 and 180 (id., 65:11-17, 65:21-66:12, 66:16-19). In addition, Defendants cite extrinsic evidence to support the proposition that a person having ordinary skill in the art would understand that deletions were important in the field of protein engineering. (TX 511, D.I. 122 at A-8886, ¶ 30; Alber, Tr. at 216:9-217:6, 217:20-218:20.) Because of that importance, Defendants contend, those skilled in the art would know that deletions should be included in the calculation of percent identity.

35. While I agree that the ’031 patent discloses that deletions are relevant modifications, those general statements, which are not made in the context of a discussion of percent identity, are not sufficient to overcome the express instruction that GAP may suitably be used. Indeed, the presence of both the commentary on deletions and the instruction regarding GAP shows that the patentee gave the instructions with full understanding about the impor tance of deletions. It was no oversight or mistake. While the patent does not instruct that GAP is the only way to do the calculation, that does not imply, as Defendants suggest, that GAP should not be used. A construction that requires that GAP not be used would be contrary to the express language of the patent.

36. I conclude that the construction proposed by Novozymes is correct, because it is consistent with those unambiguous instructions in the patent. “% homology” means “a percent identity calculation according to the standard whereby the number of exactly matching amino acid residues in two sequences is compared to the total number of residue positions that are present in both sequences, expressed as a percent, e.g., as implemented by the GAP GCG program.”

B. Infringement

37. The application of a patent claim to an accused product is a fact-specific inquiry. See Kustom Signals, Inc. v. Applied Concepts, Inc., 264 F.3d 1326, 1332 (Fed.Cir.2001) (Patent infringement, “whether literal or under the doctrine of equivalents, is a question of fact.”). Literal infringement is present only when each and every element set forth in the patent claims is found in the accused product. See Southwall Techs., Inc. v. Cardinal IG Co., 54 F.3d 1570, 1575-76 (Fed.Cir.1995). The patent owner has the burden of proving infringement by a preponderance of the evidence. Envirotech Corp. v. Al George, Inc., 730 F.2d 753, 758 (Fed.Cir.1984) (citing Hughes Aircraft Co. v. United States, 717 F.2d 1351, 1361 (Fed.Cir.1983)).

38.I conclude that Spezyme Ethyl literally infringes claims 1, 3, and 5 of the ’031 patent.

1. Claim 1

39. Claim 1 of the ’031 patent claims a variant of a parent Bacillus stearothermo-philus alpha-amylase. A variant is a protein that has been derived from a parent protein by protein engineering, so that there are substitutions, insertions, or deletions of amino acids in the variant relative to the parent. (Conclusion of Law [“CL”] ¶ 11.) Spezyme Ethyl is a protein that has been derived from the gene that codes for G997. (TX 194, D.I. 122 at A-8525.) As described below, Spezyme Ethyl contains deletions of two amino acids relative to G997. (CL ¶ 42.) Therefore, I conclude that Spezyme Ethyl is a variant of the parent, G997.

40. I also conclude that G997 is a Bacillus stearothermophilus alpha-amylase, because it is the functional enzyme product that is produced from the alpha-amylase gene of a Bacillus stearothermophilus organism. (Alber, Tr. at 258:2-259:3.) While Defendants argue that G997 cannot be a Bacillus stearothermophilus alpha-amylase because there is no single protein sequence for G997 (D.I. 116 at 10-11, 19-20), I have concluded to the contrary that the sequence set forth in TX 226 is, in fact, the sequence of G997 (FF ¶ 69).

41. Claim 1 further requires the variant to have at least 95% homology to the parent Bacillus stearothermophilus alpha-amylase and to comprise a deletion of amino acids 179 and 180, using SEQ ID NO:3 for numbering.

42. The parties do not dispute the sequence alignment of Spezyme Ethyl and G997. (Alber, Tr. at 299:2-7.) When the sequences are aligned and the GAP program is used to calculate percent homology (identity), Spezyme Ethyl has 100% homology to G997, and the amino acids corresponding to positions 179 and 180 in SEQ ID NO:3 have been deleted in Spez- yme Ethyl. 23 (TX 126, D.I. 122 at A-8347-48; Devereux, Tr. at 112:22-113:20, 115:18-22.) Therefore, Spezyme Ethyl has at least 95% homology to G997, and Spezyme Ethyl comprises a deletion of amino acids 179 and 180.

43. Finally, claim 1 requires the variant to have alpha-amylase activity. Defendants do not dispute that Spezyme Ethyl has alpha-amylase activity. (TX 194, D.I. 122 at A-8525; TX 134, D.I. 122 at A-8355.)

44. Because each and every element set forth in claim 1 is found in Spezyme Ethyl, it literally infringes claim 1.

2. Claim 3

45. Claim 3 of the ’031 patent claims a variant that has at least 95% homology to SEQ ID NO:3, that comprises a deletion of amino acids 179 and 180, using SEQ ID NO:3 for numbering, and that has alpha-amylase activity.

46. Spezyme Ethyl is a variant (CL ¶ 39), and it has alpha-amylase activity (CL ¶ 43).

47. The parties do not dispute the sequence alignment of Spezyme Ethyl and SEQ ID NO:3. (Alber, Tr. at 299:2-7.) When the sequences are aligned and the GAP program is used to calculate percent homology (identity), Spezyme Ethyl has 98.967% homology to SEQ ID NO:3, and the amino acids corresponding to positions 179 and 180 in SEQ ID NO:3 have been deleted in Spezyme Ethyl. (TX 127, D.I. 122 at A-8349-50; Devereux, Tr. at 117:22-118:16.) Therefore, Spezyme Ethyl has at least 95% homology to SEQ ID NO:3, and Spezyme Ethyl comprises a deletion of amino acids 179 and 180.

48. Because each and every element set forth in claim 3 is found in Spezyme Ethyl, it literally infringes claim 3.

3. Claim 5

49. Claim 5 of the ’031 patent claims a variant of a Bacillus stearothermophilus alpha-amylase that consists of a deletion of amino acids 179 and 180, using SEQ ID NO:3 for numbering.

50. Spezyme Ethyl is a variant of G997 (CL ¶ 39), and the only difference between Spezyme Ethyl and G997, as shown by their sequence alignment (TX 126, D.I. 122 at A-8347-48) is the deletion of residues 179 and 180. (Arnold, Tr. at 146:12-23.)

51. Because each and every element set forth in claim 5 is found in Spezyme Ethyl, it literally infringes claim 5.

C. Invalidity

52. When a party challenges a patent’s validity, the starting point for analyzing that challenge is the statutory presumption of validity. See 35 U.S.C. § 282 (“A patent shall be presumed valid.”). Accordingly, “[t]he burden of establishing invalidity of a patent or any claim thereof shall rest on the party asserting such invalidity.” Id. Invalidity must be shown by clear and convincing evidence. Robotic Vision Sys. v. View Eng’g, Inc., 189 F.3d 1370, 1377 (Fed.Cir.1999). This presumption of validity is never weakened, and the burden of proving invalidity does not shift from the party asserting invalidity. Imperial Chem. Indus., PLC v. Danbury Pharmacal, Inc., 745 F.Supp. 998, 1004 (D.Del.1990) (citing ACS Hosp. Sys., Inc. v. Montefiore Hosp., 732 F.2d 1572, 1574-75 (Fed.Cir.1984) (other citations omitted)). The burden of going fox-ward with evidence rebutting invalidity may shift to the patentee only after the party asserting invalidity has demonstrated a legally sufficient prima facie case of invalidity. Ashland Oil, Inc. v. Delta Resins & Refractories, Inc., 776 F.2d 281, 291 (Fed.Cir.1985) (internal citations omitted). If the party asserting invalidity has established a legally sufficient case of invalidity, the court then examines all of the evidence of invalidity together with all of the evidence rebutting invalidity, and determines whether there is clear and convincing evidence of invalidity. Id. at 291-92.

53. Defendants challenge the validity of the ’031 patent on two grounds: obviousness and lack of enablement.

1. Obviousness

54. An invention is unpatentable if “the differences between the claimed invention and the prior art are such that the claimed invention, as a whole, would have been obvious at the time the invention was made to a person having ordinary skill in the art.” 35 U.S.C. § 103(a). Obviousness is a question of law based on underlying factual findings. Merck & Co. v. Teva Pharms. USA, Inc., 395 F.3d 1364, 1369 (Fed.Cir.2005). In determining whether an invention is obvious, the court should consider: (1) the scope and content of the prior art; (2) the level of ordinary skill in the art; (3) the differences between the claimed invention and the prior art; and (4) objective indicia of nonobviousness. See id. at 1372-73 (citing Graham v. John Deere Co., 383 U.S. 1, 17-18, 86 S.Ct. 684, 15 L.Ed.2d 545 (1966)).

55. A prima facie case of obviousness is established by showing that a combination of references contains every limitation of the claims-at-issue, and that the prior art would motivate a person having ordinary skill in the art to combine the references and would suggest a reasonable likelihood of success. Smiths Indus. Med. Sys., Inc. v. Vital Signs, Inc., 183 F.3d 1347, 1353 (Fed.Cir.1999).

56. Objective evidence of nonobviousness includes evidence of unexpected results. In re Soni, 54 F.3d 746, 750 (Fed.Cir.1995). Results are unexpected when “the claimed invention exhibits some superior property or advantage that a person in the relevant art would have found surprising or unexpected.” Id. Such results must be unexpected as compared to the closest prior art. In re Baxter Travenol Labs., 952 F.2d 388, 392 (Fed.Cir.1991).

57. Defendants argue that claims 1, 3, and 5 of the ’031 patent are obvious both in light of the Suzuki reference combined with the Bisgárd-Frantzen reference and in light of the Machius reference alone. I conclude that Defendants have not shown by clear and convincing evidence that the claims are obvious in the face of Novozymes’s evidence of unexpected results.

a. Suzuki and Bisghrd-Frantzen

58. The Suzuki reference disclosed alpha-amylases from Bacillus amyloliquefa-ciens that were modified by the deletion of two amino acids at positions 176 and 177 and that had improved thermostability. (FF ¶ 31.)

59. The Bisgárd-Frantzen reference disclosed that the alpha-amylases of Bacillus amyloliquefaciens, Bacillus stearother-mophilus, and Bacillus licheniformis were highly similar and that positions 176 and 177 of the Bacillus amyloliquefaciens enzyme corresponds to positions 179 and 180 of the Bacillus stearothermophilus enzyme. (FF ¶ 32.)

60. The Defendants succeeded in making a prima facie showing that claims 1, 3, and 5 are obvious in light of Suzuki and Bisgárd-Frantzen. As the examiner noted during prosecution (FF ¶ 33), the combination of those references discloses a Bacillus stearothermophilus alpha-amylase with deletions at positions 179 and 180, and a person having ordinary skill in the art would have been motivated to make the claimed deletions to increase thermostability, with a reasonable expectation of success.

61. While Novozymes argues (D.I. 125 at 21-22) that there would have been no expectation of success, the evidence used to support that proposition shows that there would have been an expectation, but no guarantee, of improvement in thermost-ability, although the magnitude of that improvement would have been uncertain. (Arnold, Tr. at 742:9-12; Machius, Tr. at 490:21-491:4, 508:15-23; Zeikus, 24 Tr. at 699:8-12.) 25 I conclude that there would have been a reasonable expectation of success based on the sequence similarity between the alpha-amylases from Bacillus amyloliquefaciens and Bacillus stearother-mophilus reported by Bisgárd-Frantzen.

62. Because I conclude that there is prima facie obviousness, I next consider Novozymes’s rebuttal evidence, which was presented to the examiner and purports to show that the invention of the ’031 patent gives unexpected results. By presenting that evidence at trial, Novozymes has met its burden of production of evidence to rebut the prima facie case for obviousness. Defendants challenge that evidence, and, as the parties asserting invalidity, must prove by clear and convincing evidence the facts that support the ultimate conclusion of obviousness. Ashland, Oil, 776 F.2d at 291-92.

b. Unexpected Results

63. The examiner found that the Borc-hert Declaration showed unexpected results sufficient to overcome an obviousness rejection based on Suzuki and Bisgárd-Frantzen. (FF ¶ 51.) Defendants argue that the Borchert Declaration does not demonstrate unexpected results, because (1) the Borchert experiment did not measure thermostability under the conditions reported by Suzuki, (2) the experimental procedures were so deficient that the results are not reliable evidence of anything, and (3) the results, taken at face value, were not unexpected. (D.I. 116 at 21-22.) I conclude that Defendants have failed to show by clear and convincing evidence that the Borchert Declaration results are unfair, unreliable, or not unexpected.

i. Suzuki Conditions

64. The experiment reported in the Borchert Declaration (the “Borchert experiment”) compared Bacillus stearother-mophilus alpha-amylases with the alpha-amylases reported by Suzuki.

65. According to Defendants, the Borc-hert Declaration is an unfair comparison to Suzuki because the experimental conditions of Suzuki were modified. (Id. at 21.) First, Suzuki tested thermostability of alpha-amylases at 90°C (TX 115, D.I. 122 at A-8237), and the Borchert experiment tested thermostability at 80°C (FF ¶ 44). Second, Suzuki used buffer containing 10 mM calcium (TX 115, D.I. 122 at A-8234), and the Borchert experiment used buffer containing 0.1 mM calcium (FF ¶ 44). Third, Suzuki preheated the buffer prior to adding the alpha-amylase, in order to avoid the effects of a “ramp-up period,” i.e., a time delay in the enzyme reaching the incubation temperature. (TX 115, D.I. 122 at A-8234; Klibanov, Tr. at 514:14-24.) The Borchert experiment did not preheat the buffer. (Borchert, Tr. at 397:4-7.) Defendants contend that the conditions of the Borchert experiment unfairly enhanced the relative improvement of BSG compared to BAN. 26 (D.I. 116 at 21.)

66. If Suzuki is indeed the closest prior art, as the applicants believed, then the showing of unexpected results must compare the effect of the claimed deletion in BSG to the effect of the deletion in BAN reported by Suzuki. Such a comparison might be made in two ways. First, the applicants might have measured thermost-ability only for BSG alpha-amylases and then compared those results to those reported by Suzuki for BAN. For such a comparison between the results of two separate experiments to be fair, the conditions of the two experiments would have to be the same. Second, the relative improvement in BSG might be determined by actually making measurements for both BSG and BAN under identical conditions. That experiment would be a fair comparison of the improvement in thermostability of BSG and BAN under the conditions of the experiment. The applicants chose the second way to make the comparison. Except for the ramp-up period issue, which is discussed further below (CL ¶¶ 67, 70), Defendants have no credible argument that any valid measurement of thermosta-bility must be done under the same conditions as existed for the Suzuki experiment. Because the Borchert experiment actually conducted side-by-side experiments to measure the thermostability of BAN and BSG under identical conditions, those experiments are a fair comparison between BAN and BSG under those conditions. Defendants have failed to present clear and convincing evidence showing otherwise.

ii. Experimental Procedures

67. Defendants also argue that the procedures used in the Borchert experiment were faulty, making the results unreliable and leaving Novozymes without any evidence of unexpected results. (D.I. 116 at 22.) First, Defendants point to the failure to account for the ramp-up period. In the experiment, the time measurement for heat inactivation started when the tubes containing buffer with the alpha-amylases were placed in a heating device. Therefore, the alpha-amylases were not actually exposed to a temperature of 80°C for the short time it took for the solution to heat up to that temperature. (Klibanov, Tr. at 523:21-524:11.) Dr. Klibanov testified that the standard protocol for these experiments would avoid the problem by preheating the buffers used in the experiment. (Id. at 525:13-526:2.) According to Dr. Klibanov, the failure to account for that ramp-up period would have the largest effect on the half-life calculation for the least stable alpha-amylase, unmodified BAN, and little effect on the other calculated half-lives. (Id. at 604:7-605:9.) Thus, according to Defendants, the calculated half-life of unmodified BAN was too high, making the apparent improvement of BANdel too low and the relative improvement of BSGdel too high. (D.I. 115 at 27-28, ¶ 111 (citing Klibanov, Tr. at 527:18-528:3).)

68. Second, Defendants argue that in order to calculate the half-life of BSGdel, the applicants improperly extrapolated beyond the measured data. (D.I. 116 at 22.) The last activity measurement for BSGdel showed that at 4200 minutes, 61% activity remained. (FF ¶ 45.) Since the activity had not yet fallen below 50%, the half-life was calculated by assuming that the inactivation followed first order kinetics 27 and extrapolating forward beyond that last data point (Klibanov, Tr. at 531:6-532:1), yielding a calculated half-life of 5775 minutes (FF ¶ 47). According to Dr. Kliba-nov, the assumption about reaction kinetics was unjustified, making the value of BSGdel unreliable. (Klibanov, Tr. at 533:13-534:5.)

69. Third, Defendants argue that four data points for BSGdel, two at 2881 minutes and two at 2940 minutes, were improperly omitted. (D.I. 115 at 30-32, ¶¶ 121-31.) The measurement for each time point was done in duplicate. (Borc-hert, Tr. at 395:5-11.) For the two data points at 2881 minutes, Ms. Holbo noticed that the sample from which the measurements were taken had evaporated, and the data were omitted from the half-life calculations. (FF ¶ 46.) According to Dr. Kli-banov, Ms. Holbo’s explanation was not consistent with the data, because the excluded measurements were lower than expected and, if evaporation had occurred, the enzyme would have become more concentrated and given a higher activity. (Klibanov, Tr. at 537:5-17.) The two data points at 2940 minutes were omitted by Dr. Borchert because the measurements were extremely far apart and one showed activity above 130%. (FF ¶ 46.) Dr. Kli-banov agreed that the measurement of 130% could rationally be excluded from the calculation, but he did not agree that excluding the second measurement was justified. (Klibanov, Tr. at 540:9-14.) According to Defendants, the omission of those data points led to an overestimate of the half-life of BSGdel. (D.I. 116 at 22; Kliba-nov, Tr. at 540:9-14.)

70.I conclude that Defendants’ criticisms of the Borchert experiment are insufficient to call into question the ultimate conclusion that BSGdel was unexpectedly thermostable. First, as to the ramp-up period, the evidence suggests that for experiments like Borchert’s, which used a PCR machine as a heat source and thin plastic tubes to hold the samples, it is not standard protocol to preheat buffer solutions. (Arnold, Tr. at 752:13-754:4.) In addition, in experiments conducted by No-vozymes to address the ramp-up issue, the thermostability of BAN was measured with and without preheating the buffer, and the results differed by 15-20%. (Id. at 755:18-756:21.) Based on that data, Dr. Arnold concluded that the ramp-up period had “essentially no effect” on the ultimate conclusion of the Borchert experiment. (Id. at 757:22-25.) While a 15-20% difference in the BAN half-life would affect the magnitude of the relative improvement reported for BSG, I conclude that that difference is not sufficient to call into question the reliability of Borchert’s experiment, which still shows a much greater increase in thermostability for BSG than for BAN. 28

71. Second, as to the extrapolation problem, Defendants have failed to show that the reported half-life for BSGdel of 5775 minutes is actually far from the truth. Given the measurement of 61% activity at 4200 minutes, it is reasonable to predict a half-life somewhat longer than 4200 minutes. Even if one assumed that after the final measurement at 4200 minutes the activity immediately dropped to zero, taking 4200 minutes as the estimated half-life would give a 46-fold improvement of BSGdel over BSG. (See FF ¶ 47 (calculated half-lives).) Such an improvement, which is likely to be an underestimate, would still be unexpected when compared to the 11-fold improvement for BAN.

72. Third, the parties agree that data may properly be excluded if there is a reasonable basis for thinking there is a problem with the experiment. Ms. Holbo decided to exclude two data points at 2881 minutes because the sample had evaporated. There is conflicting expert testimony on whether that was proper. (Klibanov, Tr. at 537:1-17; Arnold, Tr. at 761:7-20.) Given Ms. Holbo’s credible testimony that contemporaneous observation indicated something was wrong with the sample, I conclude that there is insufficient evidence to support second-guessing that decision. Dr. Borchert decided to exclude two data points at 2940 minutes based on their measured activities, which were so different from each other that he decided that they were unreliable. Again, experts disagree about whether that was proper. (Klibanov, Tr. at 537:23-538:10; Arnold, Tr. at 758:6-760:5.) And again, I conclude that there is insufficient evidence to support second-guessing that decision.

73. In sum, Defendants have failed to show by clear and convincing evidence that the results of the Borchert experiment are unreliable.

iii. Expected Results

74. Defendants argue that, even if the results in the Borchert Declaration are accepted, the 5.7-fold relative improvement of BSG versus BAN would not be unexpected by a person having ordinary skill in the art. (D.I. 116 at 21-22.) First, Defendants make the intriguing argument that no result could be unexpected because scientists would have had no specific expectation of how the thermostability of BSG would change because of deletions at positions 179 and 180. (D.I. 115 at 32, ¶ 132.) That argument is contrary to the reasoning that supports their prima facie case of obviousness, which rests in part on the assertion that persons of ordinary skill in the art would expect the deletion in BSG to give a similar result to that observed for BAN. By arguing here that no result could be unexpected, no matter what the numerical value, Defendants undercut their argument that the invention is obvious. In any case, the fact that no person having ordinary skill in the art could have predicted a particular numerical value for the improvement does not mean that there was no expectation of improvement. I conclude that, because of the similarity between BAN and BSG, a person having ordinary skill in the art would have expected the deletion to have a similar effect on thermostability, even if the precise magnitude of that effect could not have been predicted. (CL ¶ 61.)

75. Second, Defendants argue that any improvement in the thermostability of BSG would have been expected if it was within an order of magnitude of the 25-fold improvement in BAN reported by Suzuki. (D.I. 115 at 32, ¶ 134.) Thus, the 63-fold improvement in BSG shown by the Borchert Declaration would not have been unexpected. (Id.) While Dr. Klibanov testified to that effect (Klibanov, Tr. at 545:15— 546:1, 547:13-549:8), I disagree with Defendants’ conclusion. First, the improvement in BAN measured alongside BSG in the Borchert experiment was 11-fold, so the 63-fold improvement in BAN should be compared to that 11-fold improvement rather than the 25-fold improvement from the Suzuki experiment. (Cf. supra note 28.) Second, as Dr. Arnold testified, the Borchert experiment shows that making the claimed deletion in BSG yields an enzyme that lasts for days at 80°C. (Arnold, Tr. at 746:24-747:4.) Defendants have not shown that such a result would have been expected by a person having ordinary skill in the art. I conclude that Defendants have failed to show by clear and convincing evidence that the magnitude of the results in the Borchert Declaration were less than unexpected.

76. In sum, Defendants attacks on the fairness, reliability, and unexpectedness of the Borchert Declaration’s results fail. Those results must therefore be considered in the determination of the obviousness of claims 1, 3, and 5. While Defendants argue that those unexpected results, even if true, are insufficient to overcome a prima facie showing of obviousness (D.I. 126 at 10-11), I disagree. The sequence similarity between BSG and BAN reported by Bisgárd-Frantzen does lead to an expectation of similar effects in those enzymes from the Suzuki deletion. But I agree with the examiner that the dramatic improvement in BSG relative to BAN is sufficiently unexpected to overcome the combination of Suzuki and BisgBard-Frantzen.

77. Therefore, I conclude that Defendants have failed to show that claims 1, 3 and 5 of the ’031 patent are obvious over Suzuki and Bisgárd-Frantzen.

c. Machius

78. Defendants also argue that claims 1, 3, and 5 are obvious in light of the Machius reference alone. (D.I. 116 at 23-26.) For the following reasons, I disagree.

79. Concerning the effect of the deletion of residues 179 and 180, the Machius reference does not disclose much beyond what was already disclosed by Suzuki and Bisgárd-Frantzen. 29 The Machius reference shows a sequence alignment that was already available in Bisgárd-Frantzen, and it summarizes the improved thermostability reported by Suzuki. (FF ¶¶ 54-55.) The only new information reported by the Machius reference that would affect the expectation of success in making the Suzuki deletion in BSG is the experimental result that the deleted residues are on a surface loop. (FF ¶ 55.) The fact that the residues are on a loop implies that deleting them will not disrupt interactions between amino acids, because surface amino acids have fewer of those interactions. (Machi-us, Tr. at 774:3-22.)

80. However, while knowing that the amino acids are on a loop might have some effect on the expectation of success, that does not lead logically to the conclusion that the results obtained here were expected. Defendants do not argue that the Machius reference gives any basis for expecting dramatically better thermostability from making the Suzuki deletions in BSG. The Machius reference itself makes no such prediction. (FF ¶ 56.) Thus, the unexpected results reported in the Borc-hert Declaration are just as potent for overcoming the Machius reference as they were for Suzuki and Bisgárd-Frantzen.

81. Therefore, I conclude that Defendants have failed to show that claims 1, 3 and 5 of the ’031 patent are obvious over the Machius reference. 30

2. Enablement

82. Defendants argue that claims 1 and 3 of the ’031 patent are invalid because the full scope of those claims is not supported by an enabling disclosure. (D.I. 116 at 26-28.) I conclude that Defendants have failed to show by clear and convincing evidence that the claims are not enabled.

83. To satisfy the enablement requirement, the scope of the claims must bear a reasonable relationship to the scope of enablement provided by the specification. In re Fisher, 57 C.C.P.A. 1099, 427 F.2d 833, 839 (Cust. & Pat.App.1970). “To be enabling ... a patent must contain a description that enables one skilled in the art to make and use the claimed invention.” Amgen, Inc. v. Chugai Pharm. Co., 927 F.2d 1200, 1212 (Fed.Cir.1991). “That some experimentation is necessary does not constitute a lack of enablement; the amount of experimentation, however, must not be unduly extensive.” Id.

84. Defendants argue that this ease is similar to Amgen. (D.I. 116 at 26-27.) In Amgen, the patent claims at issue covered all DNA sequences suitable for expression of a protein having at least part of the primary structure and one or more of the biological properties of erythropoietin (EPO). 927 F.2d at 1212-13. The disclosure in that case did not enable one to make all such DNA sequences. Id. at 1213-14. While the patent did disclose details of how to make certain EPO analogs, which “might well justify a generic claim encompassing [those] and similar analogs,” id. at 1213, the disclosure was insufficient to support a claim for “all possible genetic sequences that have EPO-like activity,” id. at 1214.

85. Here, Defendants note that there are approximately 1070 variants that are at least 95% homologous to SEQ ID NO:3 and comprise the double deletion at positions 179 and 180, as required by claim 5. (D.I. 116 at 27 (citing Alber, Tr. at 251:12— 17).) For a parent Bacillus stearothermo-philus alpha-amylase of similar length to SEQ ID NO:3, the number of possible variants with at least 95% homology would apparently be similar. Of those variants, Dr. Alber testified that approximately 1 in 10,000 would have alpha-amylase activity as required by claims 1 and 3. (Alber, Tr. at 252:17-20.) Thus, there are a large number of possible alpha-amylases within the scope of those claims.

86. However, that large number alone is not sufficient to show a lack of enablement in this case. “It is well established that a patent applicant is entitled to claim his invention generically when he describes it sufficiently to meet the [en-ablement requirement].” Amgen, 927 F.2d at 1213. The problem in Amgen was that the claim scope covered any gene that could be used to express proteins of various sizes that had one or more of the biological properties of EPO. Id. at 1212-13. The Court of Appeals stated that the disclosure in Amgen might well be sufficient to enable a claim for EPO analogs similar to those that were described by the patent. Id. at 1213.

87. For claims 1 and 3 of the ’031 patent, I conclude that requiring at least 95% homology with either the parent or SEQ ID NO:3 makes the variants sufficiently similar so that the enablement requirement is satisfied. By contrast to Amgen, the claim scope here is limited quantitatively to similarity between protein sequences and not just to a requirement for alpha-amylase-like activity. Thus, I agree with the examiner that the 95% homology requirement overcomes the enablement problem in this case. Defendants have failed to show otherwise by clear and convincing evidence.

D. Unenforceability

88. Defendants argue that the ’031 patent is unenforceable for two reasons: inequitable conduct and prosecution laches.

1. Inequitable Conduct

89. Patent applicants have a duty to prosecute applications in the Patent and Trademark Office (“PTO”) with candor, good faith, and honesty. See Precision Instrument Mfg. Co. v. Auto. Maint. Mach. Co., 324 U.S. 806, 818, 65 S.Ct. 993, 89 L.Ed. 1381 (1945); Molins PLC v. Textron, Inc., 48 F.3d 1172, 1178 (Fed.Cir.1995). This requirement is embodied in 37 C.F.R. § 1.56, which states that “[e]ach individual associated with the filing and prosecution of a patent application has a duty of candor and good faith in dealing with the Office, which includes a duty to disclose to the Office all information known to that individual to be material to patentability as defined in this section.” This duty extends to both applicants and their attorneys. FMC Corp. v. Manitowoc Co., Inc., 835 F.2d 1411, 1415 n. 8 (Fed.Cir.1987) (“ Applicant’ as used here includes the patentee and the attorney who prosecuted the application that resulted in the patent-in-suit, because the knowledge and actions of applicant’s attorney are chargeable to applicant.”).

90. “Inequitable conduct includes affirmative misrepresentation of a material fact, failure to disclose material information, or submission of false material information, coupled with an intent to deceive.” Molins PLC, 48 F.3d at 1178.

91. A party alleging inequitable conduct must prove it by clear and convincing evidence. Molins PLC, 48 F.3d at 1178.

92. To prove inequitable conduct from a failure to disclose material prior art, a party “must offer clear and convincing proof of: (1) prior art or information that is material; (2) knowledge chargeable to applicant of that prior art or information and of its materiality; and (3) failure of the applicant to disclose the art or information resulting from an intent to mislead the PTO.” FMC Corp., 835 F.2d at 1415.

93. A party alleging inequitable conduct must show that “the withholding of information [meets the] thresholds of both materiality and intent.” Molins PLC, 48 F.3d at 1178. “[Materiality does not presume intent, which is a separate and essential component of inequitable conduct.” Allen Organ Co. v. Kimball Int'l Inc., 839 F.2d 1556, 1567 (Fed.Cir.1988). Once threshold levels of materiality and intent have been shown, a court must engage in “a careful balancing: when the misrepresentation or withheld information is highly material, a lesser quantum of proof is needed to establish the requisite intent.... In contrast, the less material the information, the greater the proof must be.” Purdue Pharma L.P. v. Endo Pharm., 438 F.3d 1123, 1129 (Fed.Cir.2006) (internal citations omitted).

94. As to materiality, PTO regulations state that “information is material to pat-entability when it is not cumulative to information already of record or being made of record in the application, and (1) It establishes, by itself or in combination with other information, a prima facie case of unpatentability of a claim; or (2) It refutes, or is inconsistent with, a position the applicant takes in: (i) Opposing an argument of unpatentability relied on by the Office, or (ii) Asserting an argument of patentability.” 37 C.F.R. § 1.56(b) (1992).

95. “Intent need not be proven by direct evidence; it is most often proven by a showing of acts, the natural consequences of which are presumably intended by the actor.” Molins PLC, 48 F.3d at 1180. Hence, while “materiality does not presume intent, which is a separate and essential component of inequitable conduct,” Allen Eng’g Corp. v. Bartell Indus., Inc., 299 F.3d 1336, 1352 (Fed.Cir.2002) (internal quotation marks and citation omitted), the materiality of a reference may lead to an inference of intent. Bruno Indep. Living Aids, Inc., 394 F.3d at 1354 (“in the absence of a credible explanation, intent to deceive is generally inferred from the facts and circumstances surrounding a knowing failure to disclose material information”). “Intent to deceive, however, cannot be ‘inferred solely from the fact that information was not disclosed; there must be a factual basis for a finding of deceptive intent.’ ” Purdue Pharma L.P., 438 F.3d at 1134.

96. Here, Defendants argue that the applicants for the ’031 patent were guilty of inequitable conduct for (1) submitting affirmative misrepresentations to the PTO in the form of the Borchert Declaration and (2) failing to disclose the Machius reference.

a. The Borchert Declaration

97. According to Defendants, the applicants intentionally misrepresented the results of the Borchert experiment in order to prevent the examiner from reasserting an obviousness rejection over Suzuki and Bisgárd-Frantzen. (D.I. 116 at 33-39.) First, Defendants argue that the applicants misrepresented the Borchert experiment’s comparison with Suzuki because the temperature, preheating procedures, and calcium levels were different from Suzuki. (Id. at 34-35.) As discussed above (CL ¶ 66), I have concluded that the Borc-hert experiment, which directly compared the effect of the Suzuki deletion in BAN and BSG under the same conditions, was a fair way to address the obviousness question raised by the Suzuki reference. In addition, the experimental procedures were disclosed in the Borchert Declaration. (FF ¶¶ 44-45.) Thus, the applicants made no misrepresentations concerning the fairness of the comparison.

98. Second, Defendants argue that the applicants submitted results that they knew were unreliable because of the failure to account for the ramp-up period, the extrapolation beyond the last measurement, and the omission of data points. (D.I. 116 at 35-36.) Again, as discussed above, I have concluded that the ramp-up period and extrapolation problems do not materially affect the reliability of the results (CL ¶¶ 70-71), so there is no misrepresentation as to those issues.

99. Data points were removed prior to the calculation of half-lives (FF ¶ 46), and those omissions were not disclosed to the examiner (Borchert, Tr. at 386:20-22). However, even assuming for the sake of argument that those omissions were material, to amount to inequitable conduct, they must have been made with the intent to deceive the PTO. Molins PLC, 48 F.3d at 1178. Here, Defendants have failed to show that the omissions were made to manipulate the results. Contrary to Defendants’ assertions, Dr. Borchert and Ms. Holbo offered reasonable explanations for suspecting problems with the four omitted data points. (CL ¶ 72.) Certainly, omitting data believed to be suspect does not imply an intent to deceive. Thus, Defendants have failed to prove by clear and convincing evidence that the omissions were made with the intent that is necessary for inequitable conduct.

100. Third, Defendants argue that the applicants misrepresented the unexpectedness of their results. (D.I. 116 at 35.) Because of my conclusion that Defendants failed to show that the results were less than unexpected (CL ¶ 74-75), I also conclude that applicants made no misrepresentation about the unexpectedness of the Borchert experiment results.

101. Therefore, Defendants have failed to prove inequitable conduct related to the Borchert Declaration.

b. Failure to Disclose the Machius Reference

102. Defendants also argue that the applicants were guilty of inequitable conduct for failing to disclose the Machius reference to the examiner. (D.I. 116 at 29-33.)

103. Concerning the deletion claimed by the ’031 patent, the Machius reference contains very little new information. (CL ¶ 79.) The reference predicts structural similarity between BSG and BAN, but that prediction is based on sequence similarity that had already been disclosed by Bisgárd-Frantzen. (Id.) The reference discusses the results from Suzuki and offers theories for why the thermostability was improved in BAN, but makes no predictions concerning the expected improvement in BSG. (FF ¶ 56.) The only relevant new information is the experimental result showing that the two amino acids to be deleted are found on a surface loop. (CL ¶ 79.) Thus, if the reference is material, it must be on that basis.

104. On the basis of the trial record, I conclude that the materiality of the Machi-us reference is marginal at best. The expectation of a similar result in BSG would mostly arise from the expected structural similarity between BSG and BAN, which was already in the art disclosed to the examiner. To that extent, the Machius reference is merely cumulative. As for the position of the deletions on a loop, it is difficult to see how such information would establish a prima facie case of unpatentability or would refute the applicants’ position regarding patentability, especially given the applicants’ strategy of providing experimental comparisons to the prior art. Thus, I conclude that the Machius reference is not highly material.

105. Importantly, Defendants have again failed to show by clear and convincing evidence that the failure to disclose the Machius reference was intended to deceive the PTO. Mr. Garbell and Dr. Borchert testified that they did not consider the reference to be material (Garbell, Tr. at 441:14-17, 442:5-21, 444:9-20; Borchert, Tr. at 414:21-415:4), and, given the reference’s largely cumulative disclosure, that testimony is credible. While Dr. Borchert agreed that the reference disclosed some information not disclosed by Suzuki (Borc-hert, Tr. at 357:22-358:7, 359:12-360:7), that does not, contrary to Defendants’ argument (D.I. 116 at 32), imply that Dr. Borchert considered it material and knowingly withheld it. Also, while Mr. Garbell testified that he did not consider whether to cite the Machius reference (Garbell, Tr. at 442:5-21), that appears to be a result of the reference’s marginal materiality rather than evidence of Mr. Garbell’s intent to deceive.

106. Therefore, I conclude that Defendants have failed to prove inequitable conduct related to the Machius reference.

2. Prosecution Laches

107. Defendants final argument is that the ’031 patent is unenforceable due to prosecution laches. (D.I. 115 at 90-91, ¶¶ 112-14.)

108. Prosecution laches is an equitable doctrine that may be applied to bar enforcement of patent claims following an unreasonable and unexplained delay in prosecution, even if the applicant technically complied with all pertinent statutes and rules. Symbol Techs., Inc. v. Lemelson Med., 422 F.3d 1378, 1385, amended, 429 F.3d 1051 (Fed.Cir.2005). Prosecution laches “should be applied only in egregious cases of misuse of the statutory patent system.” Symbol, 422 F.3d at 1385. Egregious misuse means a “pattern of unjustifiably delayed prosecution” designed to extend the term of the patent. Id. At 1385-86.

109. According to Defendants, the doctrine should be applied here because the ’031 patent issued approximately ten years after the effective filing date in 1995 and because the applicants intentionally delayed prosecution by responding to the examiner’s first office action with narrowing amendments that were later withdrawn after the showing of unexpected results. (D.I. 115 at 90-91, ¶ 113.) Both arguments fail because Defendants have not shown that the delay was an egregious misuse of the system. The prosecution history since 1995 shows a series of continuations and divisions. (FF ¶ 20.) As to almost all of that history, Defendants have failed to show anything unreasonable about that familiar course of prosecution. As for the response to the examiner’s first office action in January 2004, I do find it troubling that Novozymes filed narrowing amendments that were motivated at least in part by a desire to delay the prosecution while experiments were conducted to justify broader claims. (See FF ¶¶ 34-36.) Nevertheless, that does not constitute an egregious case of delay that would justify holding the ’031 patent unenforceable.

IV. SUMMARY OF CONCLUSIONS

For the reasons set forth herein, the disputed claim terms are construed as follows:

Claim Term The Court’s Construction

“Badllm The court construes stearothermophilus “Bacillus stearothermophi- alpha-amylase” lus alpha-amylase” to mean: “the functional enzyme product that is produced from the alpha-amylase gene of a Bacillus stearothermophilus organism.”

“% homology” The court construes “% homology” to mean: “a percent identity calculation according to the standard whereby the number of exactly matching amino acid residues in two sequences is compared to the total number of residue positions that are present in both sequences, expressed as a percent, e.g., as implemented by the GAP GCG program.”

Defendants’ Spezyme Ethyl infringes claims 1, 3, and 5 of the ’031 patent; those claims are not invalid for obviousness or lack of enablement; and the ’031 patent is not unenforceable due to inequitable conduct or prosecution laches.

1 . Throughout these Findings of Fact and Conclusions of Law, I may have adopted without attribution language suggested by one side or the other in this dispute. In all such instances, the finding or conclusion in question has become my own, based upon my review of the evidence and the law. To the extent that any of my findings of fact may be considered conclusions of law or vice versa, they are to be considered as such.

2 . Dr. Frances Hamilton Arnold is a Professor of Chemical Engineering and Biochemistry at the California Institute of Technology. (Tr. at 131:23-25.)

3 . Dr. Torben V. Borchert is a director of protein design and optimization at Novo-zymes (Tr. at 16:1-3) and one of the named inventors of the '031 patent.

4 . Dr. John Rickert Devereux was formerly the president and chief scientific officer of Genetics Computer Group, Inc. (Tr. at 100:16-22.)

5 . Dr. Mischa Machius is an Associate Professor of Biochemistry and Director of the Structural Biology Laboratory at the University of Texas, Southwestern Medical Center (Tr. at 448:17-21), as well as one of the authors of a reference that was much discussed at trial (see infra Section II.D).

6 . Proteins are also characterized by their secondary structural elements, which are localized structures, such as alpha helices, beta strands, and loops, that form within the overall tertiary structure. (Machius, Tr. at 456:1-10.) The tertiary structure shows how the secondary structures come together in three dimensions to form the overall shape of the protein molecule. (Id. at 456:13-15.) Recall that the primary structure is the amino acid sequence. (Supra Finding of Fact ["FF”] ¶ 9.)

7 . Dr. Thomas Alber is a Professor of Molecular and Cell Biology at the University of California, Berkeley. (Tr. at 199:1-2; Trial Exhibit [“TX”] 532.)

8 . That species has been renamed Geobacillus stearothermophilus. (Uncontested Facts, D.I. 101 at ¶ III.S.)

9 . While Novozymes does not expressly agree in its proposed findings that March 29, 1995 is the effective filing date, it does not dispute in its opposition to Defendants’ invalidity argument that the references raised by Defendants are prior art. (See D.I. 125 at 21-22, 24-25.)

10 . The examiner also rejected claim 36 as indefinite because it was improperly dependent on claim 35, and she suggested a modification to the claim language that would overcome the rejection. (Id. at A-7622.) The applicants responded by cancelling claim 36 and adding the limitation to independent claim 35 (id. at A-7634, A-7636), and the rejection was withdrawn (id. at A-7719).

11 . While "BSG” was sometimes used at trial to refer to the Bacillus stearothermophilus organism (see, e.g., Tr. at 177:22-178:7), I will use the term herein to refer to the alpha-amylase.

12 . A residue is an amino acid that has become part of a peptide chain. See Merriam-Webster’s Medical Dictionary (2002).

13 . The supernatant is the liquid that remains after solids are removed by centrifugation. See Merriam-Webster’s Medical Dictionary (2002).

14 .PCR is the polymerase chain reaction, a "technique for amplifying DNA sequences,” American Heritage Dictionary of the English Language (4th ed.2000), which uses a machine to heat the samples. The PCR machine was used in the Borchert experiment as a heat source, and not, it appears, for anything related to PCR per se.

15 . Vibeke Holbo has worked at Novozymes for thirty years, and she worked with Dr. Borchert on the experiments presented in the Borchert Declaration. (Tr. at 665:14-17, 20-22, 668:6-8.)

16 . Dr. Alexander M. Klibanov is a Professor of Chemistry and Bioengineering at the Massachusetts Institute of Technology. (Tr. at 510:12-16.)

17 . This is the same Dr. Machius who testified at trial. See supra note 5.

18 . See supra note 6.

19 . The authors noted that the structure revealed by their experiment was without calcium, which is "required to maintain the structural integrity of a-amylases” (TX 173, D.I. 122 at A-8377), and that the protein had been cleaved between amino acids 189 and 190 {id..). Both conditions may have caused the lack of defined structure for amino acids 182 to 192. (Machius, Tr. at 470:23-471:16; TX 177, D.I. 122 at A-8377.) However, those conditions do not affect the conclusion that amino acids 179 and 180 are on a loop. (Machius, Tr. at 471:7-22.) Also, while the atomic coordinates were not disclosed with the Machius reference (TX 173, D.I. 122 at A-8388, Acknowledgments), the description of the structure is sufficient to support that conclusion about amino acids 179 and 180 (Ma-chius, Tr. at 478:18-23, 508:2-14, 776:1-17).

20 . Dr. W. Douglas Crabb worked on the project at Genencor that led to Spezyme Ethyl. (Tr. at 31:24-32:5.)

21 . Dr. Christian Isak Jorgensen is a chemist who heads the protein characterization group at Novozymes. (Tr. at 54:5-12.)

22 . Defendants' argument sometimes purports to construe "parent Bacillus stearothermo-philus alpha-amylase.” (D.I. 116 at 7-8.) I understand it to be an argument about the construction of “Bacillus stearothermophilus alpha-amylase,” because Defendants seek to apply the construction to claim 5 (id. at 8, 18-19), which does not contain the term "parent,” and because Defendants assert that there is no dispute about the construction of "parent” (D.I. 115 at 61, ¶ 9). In any case, I conclude that the term "parent,” as used in claim 1, is properly construed as the protein from which the variant is derived, and that the term "parent” does not alter the meaning of "parent Bacillus stearothermo-philus alpha-amylase” in a way that is relevant to the parties' dispute.

23 . According to my construction, the calculation of "% homology” does not account for gaps (CL ¶¶ 30-36), so the deletion of amino acids 179 and 180 does not affect the 100% homology between Spezyme Ethyl and G997.

24 . Dr. Gregory Zeikus, who submitted a declaration in support of Defendants' opposition to Novozymes’s motion for a preliminary injunction (D.I.40), testified at trial by deposition.

25 . The testimony of Dr. Arnold and Dr. Ma-chius that Novozymes cites refers to the expectation of success based on the Machius reference, not on Suzuki and Bisgárd-Frant-zen, and the testimony of Dr. Zeikus apparently refers to the expectation of success based on Suzuki alone.

26 . Again, the Borchert experiment measured thermostability for Bacillus amyloliquefaciens alpha-amylase with and without the deletion ("BAN" and "BANdel”) and for Bacillus stearothermophilus alpha-amylase with and without the deletion ("BSG” and "BSGdel”). (FF ¶¶ 43-44.)

27 . A reaction follows first order kinetics if there is a linear relationship between the reaction rate and the concentration of the particular reacting chemical compound. (Kliba-nov, Tr. at 529:13-17, 532:20-533:5.)

28 . The half-life for BAN with preheated buffer was calculated to be 0.469 minutes from that second set of experiments. (Arnold, Tr. at 764:15-24; TX 208R, D.I. 122 at A-8541-42.) Defendants argue that that demonstrates a two-fold effect of the ramp-up period, because that value is about one half as long as that determined by the Borchert experiment (0.9 minutes). (D.I. 115 at 28, ¶ 114.) Even if there were a two-fold effect, the improvement in BSG would still be —300% of that in BAN, a dramatic improvement. However, I do not agree that Defendants have shown by clear and convincing evidence that there is a twofold effect. Defendants are comparing the results of two different sets of experiments, and that comparison is inconsistent with the 15-20% effect shown by a comparison of BAN samples with and without preheated buffer in the single set of experiments discussed by Dr. Arnold. That side-by-side comparison of samples from the same set of experiments appears to be a more reliable indicator of the size of the ramp-up effect.

29 . Because the Machius reference discloses very little that is material to the '031 patent claims beyond that reported by Suzuki and Bisgárd-Frantzen, I disagree with Defendants' argument (D.I. 116 at 23-24 & n.9) that the Machius reference, rather than Suzuki, is the closest prior art to be compared with the Borchert experiment. In addition, since the Machius reference discloses no experiment on thermostability, it is difficult to see how such a comparison could be made.

30 . In a Memorandum Order dated October 24, 2005 (D.I.68), I denied Novozymes's motion for a preliminary injunction based Defendants' argument that the asserted claims were obvious in light of the Machius reference. While that argument was sufficient on a preliminary record to show vulnerability and prevent Novozymes from carrying the high burden necessary to get preliminary relief, I now conclude on a complete record that Defendants, who now carry the burden of proof, have failed to show obviousness by clear and convincing evidence.