Numerical tests for usefulness of power-law formalism method in parameter optimization problem of immobilized Enzyme reaction

Journal of Chemical Engineering of Japan

Volumn 33, Issue 2, 2000, Pages 197-204

  Hasegawa, Takahiro ^a   Shiraishi, Fumihide ^b   Nagasue, Hiroyuki ^b  

^a SHIZUOKA UNIVERSITY   (Japan)

^b KYUSHU INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Immobilized enzyme; Least square method; Numerical calculations; Parameters estimation; Power law formalism

Indexed keywords

ENZYMIC HYDROLYSIS; GLUCAN 1,4 ALPHA GLUCOSIDASE; IMMOBILIZED ENZYME; MICHAELIS MENTEN KINETICS; PROCESS OPTIMIZATION; REACTION ANALYSIS;

ENZYME;

EID: 0034079266     PISSN: 00219592     EISSN: None     Source Type: Journal    
DOI: 10.1252/jcej.33.197     Document Type: Article

References (15)

1. Burns, S. A. and A. Locascio; "A Monomial-Based Method for Solving Systems of Non-Linear Algebraic Equations," Appl. Math. Comp. J. Numer. Methods Eng., 31, 1295-1318 (1991)
2. Goldstein, L., Y. Levin and E. Katchalski; "A Water-Insoluble Polyanionic Derivative of Trypsin. II. Effect of the Polyelectrolyte Carrier on the Kinetic Behavior of Bound Trypsin," Biochemistry, 3, 1913-1919 (1964)
3. Hasegawa, T., H. Takatani and J. Yoshimura; "Application of Power-Law Formalism Method to Equilibrium Computation of Vapor Growth Epitaxy," J. Chem. Eng. Japan, 32, 506-513 (1999)
4. Hornby, W. E., M. D. Lilly and E. Crook; "Some Changes in Reactivity of Enzymes Resulting from Their Chemical Attachment to Water-Insoluble Derivatives of Cellulose," Biochem. J., 107, 669-674 (1968)
5. Irvine, D. H. and M. A. Savageau; "Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-System Canonical Form," SIAM J. Numer. Anal., 21, 704-735 (1990)
6. Savageau, M. A.; "Biochemical Systems Analysis. II. The Steady-State Solutions for an n-Pool System Using a Power-Law Approximation," J. Theoret. Biol., 25, 370-379 (1969)
7. Savageau, M. A.; "Finding Multiple Roots of Nonlinear Algebraic Equation Using S-System Methodology," Appl. Math. Comp., 55, 187-199 (1993)
8. Savageau, M. A. and E. O. Voit; "Recasting Nonlinear Differential Equations as S-System: A Canonical Nonlinear Form," Math. Biosci., 87, 83-115 (1987)
9. Shiraishi, F.; "Substrate Concentration Dependence of Apparent Maximum Reaction Rate and Michaelis Constant Observed in Immobilized Enzyme Reaction," Kagaku Kougaku Ronbunshu, 16, 123-129 (1990)
10. Shiraishi, F.; "Experimental Evaluation of the Usefulness of Equations Describing the Apparent Maximum Reaction Rate and Apparent Michaelis Constant of an Immobilized Enzyme System," Enzyme Microbiol. Technol., 15, 150-154 (1993)
11. Shiraishi, F., K. Kawakami, K. Kato and K. Kusunoki; "Hydrolysis of Soluble Starch by Glucoamylase Immobilized on Ceramic Monolith," Kagaku Kogaku Ronbunshu, 9, 316-323 (1983)
12. Shiraishi, F., T. Hasegawa and H. Nagasue; "Accuracy of the Numerical Solution of a Two-Point Boundary Value Problem by the Orthogonal Collocation Method," J. Chem. Eng. Japan, 28, 316-323 (1995)
13. Shuler, M. L., A. Aris and H. M. Tsuchiya; "Diffusive and Electrostatic Effects with Insolubilized Enzymes," J. Thoer. Biol., 35, 67-76 (1972)
14. Villadsen, J. and J. P. Sorensen; "Solution of Parabolic Partial Differential Equations by a Double Collocation Method," Chem. Eng. Sci., 24, 1337-1349 (1969)
15. Villadsen, J. V. and W. E. Stewart; "Solution of Boundary-Problems by Orthogonal Collocation," Chem. Eng. Sci., 22, 1483-1501 (1967)