A mathematical model of enzymatic reactions with Bi-Bi random mechanism and its applications

[1] Tim D. H. Bugg, Introduction to Enzyme and Coenzyme Chemistry, John Wiley & Sons, 2012.

[2] Jordan Chapman, Ahmed E. Ismail, and Cerasela Zoica Dinu, Industrial Applications of Enzymes: Recent Advances, Techniques, and Outlooks, Catalysts 8 (2018), no. 6, 238.

[3] Athel Cornish-Bowden, Fundamentals of Enzyme Kinetics, vol. 510, Wiley-Blackwell, Weinheim, Germany, 2012.

[4] Karlheinz Drauz, Harald Gr¨oger, and Oliver May, Enzyme Catalysis in Organic Synthesis, 3-volume set, vol. 1, John Wiley & Sons, 2012.

[5] Perry A. Frey and Adrian D. Hegeman, Enzymatic Reaction Mechanisms, Oxford University Press, 2007.

[6] Gerhard Gerber, Heidemarie Preissler, Reinhart Heinrich, and Samuel M. Rapoport, Hexokinase of Human Erythrocytes: Purification, Kinetic Model and Its Application to the Conditions in the Cell, European Journal of Biochemistry 45 (1974), no. 1, 39–52.

[7] I. Kangro and H. Kalis, On Mathematical Modelling of the Solid-Liquid Mixtures Transport in Porous Axial-Symmetrical Container with Henry and Langmuir Sorption Kinetics, Mathematical Modelling and Analysis 23 (2018), no. 4, 554–567.

[8] Howard M. Katzen and Robert T. Schimke, Multiple Forms of Hexokinase in the Rat: Tissue Distribution, Age Dependency, and Properties, Proceedings of the National Academy of Sciences 54 (1965), no. 4, 1218–1225.

[9] Ole Kirk, Torben Vedel Borchert, and Claus Crone Fuglsang, Industrial Enzyme Applications, Current Opinion in Biotechnology 13 (2002), no. 4, 345–351.

[10] Albert L. Lehninger, David L. Nelson, and Michael M. Cox, Lehninger Principles of Biochemistry, Macmillan, 2005.

[11] Vinh Q. Mai, Mathematical Models for the Kinetics of Some Carbohydrate Enzymes, PhD thesis, School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, 2011. (Available at http://hdl.handle.net/10379/15725

; Oct. 2019.)

[12] Vinh Q. Mai, Tuoi T. Vo, and Martin Meere, Modelling Hyaluronan Degradation by Streptococcus pneumoniae Hyaluronate Lyase, Mathematical Biosciences 303 (2018), 126–138.

[13] Mar´ıa L. Massa, Juan J. Gagliardino, and Flavio Francini, Liver Glucokinase: An Overview on the Regulatory Mechanisms of Its Activity, IUBMB Life 63 (2011), no. 1, 1–6.

[14] Shosuke Okamoto, Akiko Hijikata-Okunomiya, Keiko Wanaka, Yoshio Okada, and Utako Okamoto, Enzyme-Controlling Medicines: Introduction, Seminars in Thrombosis and Hemostasis, vol. 23, Thieme Medical Publishers, 1997, pp. 493–501.

[15] Graham L. Pettipher and Malcolm J. Latham, Characteristics of Enzymes Produced by Ruminococcus flavefaciens Which Degrade Plant Cell Walls, Microbiology 110 (1979), no. 1, 21–27.

[16] Denise Pollard-Knight and Athel Cornish-Bowden, Mechanism of Liver Glucokinase, Molecular and Cellular Biochemistry 44 (1982), 71–80.

[17] Anna Radzicka and Richard Wolfenden, A Proficient Enzyme, Science 267 (1995), no. 5194, 90–93.

[18] Irwin H. Segel, Enzyme Kinetics: Behavior and Analysis of Rapid Equilibrium and Steady State Enzyme Systems, Wiley, New York, 1993.

[19] Yilun Shang, A Lie Algebra Approach to Susceptible-Infected-Susceptible Epidemics, Electronic Journal of Differential Equations 233 (2012), 1–7.

[20] Yilun Shang, Analytical Solution for an In-Host Viral Infection Model with Time-Inhomogeneous Rates, Acta Physica Polonica B 46 (2015), no. 8, 1567–1577.

[21] Vilberto Stocchi, Mauro Magnani, Franco Canestrari, Marina Dacha, and Giorgio Fornaini, Multiple Forms of Human Red Blood Cell Hexokinase. Preparation, Characterization, and Age Dependence, Journal of Biological Chemistry 257 (1982), no. 5, 2357–2364.

[22] Kenneth B. Taylor, Enzyme Kinetics and Mechanisms, Springer Science & Business Media, 2002.

[23] Eberhard O. Voit, Harald A. Martens, and Stig W. Omholt, 150 Years of the Mass Action Law, PLoS Computational Biology 11 (2015), no. 1, e1004012.

[24] John E. Wilson, Hexokinases, Reviews of Physiology, Biochemistry and Pharmacology 126 (1995), 65.

[25] John E. Wilson, Isozymes of Mammalian Hexokinase: Structure, Subcellular Localization, and Metabolic Function, Journal of Experimental Biology 206 (2003), no. 12, 2049–2057.