Determination of Multiple Steady States in Oxidation of Monophenols by Tyrosinase with Enzymatic-Enzymatic-Chemical Model

Guo-Syong Chuang; An-Chong Chao; Hsing-Ya Li

Korean Journal of Chemical Engineering, Vol.21, No.5, 963-969, September, 2004

Guo-Syong Chuang^†, An-Chong Chao, and Hsing-Ya Li

Department of Chemical Engineering, National United University, Miao-Li 360, Taiwan

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A family of an enzymatically catalyzed reaction network is studied, which involves the oxidation of monophenols by tyrosinase with enzymatic-enzymatic-chemical model in an isothermal continuous flow stirred tank reacor(CFSTR). This system consists of 11 coupled non-linear equations and is determined to have the capacity to The phenomena of bistability, hysteresis and bifurcation are discussed. Moreover, the capacity of steady state multiplicity is extended to its family of reaction networks.

Keywords:Multiple Steady States;Tyrosinase;Enzymatic-Enzymatic-Chemical;Hysteresis;Bifurcation

[References]

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CHANG KS, KIM JY, RHEE HK, Korean J. Chem. Eng., 6(2), 69 (1989)
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Feinberg M, "Chemical Reactor Theory: A Review, Chap. 1," Edited by L. Lapidus and N. Amundson, Prentice-Hall, Englewood Cliffs, NJ (1977)
Feinberg M, Chem. Eng. Sci., 42, 2229 (1987)
Feinberg M, Chem. Eng. Sci., 43, 1 (1988)
Geiseler W, Bar-Eli K, J. Phys. Chem., 85, 908 (1981)
Hatzimanikatis V, Bailey JE, Chem. Eng. Sci., 52(15), 2579 (1997)
Horn FJM, Arch. Ration. Mech. Anal., 49, 172 (1972)
Horn FJM, Jackson R, Arch. Ration. Mech. Anal., 47, 81 (1972)
Hynne F, Dano S, Sorensen PG, Biophys. Chem., 94, 121 (2001)
KIM C, RHEE HK, Korean J. Chem. Eng., 6(3), 200 (1989)
KIM SH, YANG JW, YANG HS, Korean J. Chem. Eng., 6(4), 277 (1989)
Li HY, "The Determination of the Possibility of Multiple Steady States in Complex Isothermal Chemical Systems," Rh.D. thesis, Department of Chemical Engineering, University of Rochester (1992)
Li HY, Chem. Eng. Sci., 53(21), 3703 (1998)
Li HY, J. Chem. Phys., 109(19), 8485 (1998)
Li HY, Z Naturforsch., 54a, 245 (1999)
Mason HS, Nature, 177, 79 (1956)
Naish-Byfield S, Riley PA, Biochem. J., 288, 63 (1992)
Orban M, Epstein IR, J. Am. Chem. Soc., 107, 2302 (1985)
Rodriguez-Lopez JN, Tudela J, Varon R, Garcia-Carmona F, Garcia-Canovas F, J. Biol. Chem., 267, 3801 (1992)
Wilcox DE, Porras AG, Hwang YT, Lerch K, Winkler ME, Solomon EI, J. Am. Chem. Soc., 107, 4015 (1985)

[Referenced By]

[1] Bailey JE, Biotechnol. Prog., 14(1), 8 (1998)

[2] Cabanes J, Garcia-Canovas F, Lozano JA, Garcia-Carmona F, Biochim. Biophys. Acta.,, 923, 187 (1987)

[3] CHANG KS, KIM JY, RHEE HK, Korean J. Chem. Eng., 6(2), 69 (1989)

[4] Dutt AK, Muller SC, J. Chem. Phys., 104(2), 583 (1996)

[5] Ellison P, Feinberg M, J. Mol. Catal. A-Chem., 154, 169 (2000)

[6] Epelboin I, Ksouri M, Wiart R, J. Electrochem. Soc., 122, 1206 (1972)

[7] Feinberg M, Arch. Ration. Mech. Anal., 49, 187 (1972)

[8] Feinberg M, "Chemical Reactor Theory: A Review, Chap. 1," Edited by L. Lapidus and N. Amundson, Prentice-Hall, Englewood Cliffs, NJ (1977)

[9] Feinberg M, Chem. Eng. Sci., 42, 2229 (1987)

[10] Feinberg M, Chem. Eng. Sci., 43, 1 (1988)

[11] Geiseler W, Bar-Eli K, J. Phys. Chem., 85, 908 (1981)

[12] Hatzimanikatis V, Bailey JE, Chem. Eng. Sci., 52(15), 2579 (1997)

[13] Horn FJM, Arch. Ration. Mech. Anal., 49, 172 (1972)

[14] Horn FJM, Jackson R, Arch. Ration. Mech. Anal., 47, 81 (1972)

[15] Hynne F, Dano S, Sorensen PG, Biophys. Chem., 94, 121 (2001)

[16] KIM C, RHEE HK, Korean J. Chem. Eng., 6(3), 200 (1989)

[17] KIM SH, YANG JW, YANG HS, Korean J. Chem. Eng., 6(4), 277 (1989)

[18] Li HY, "The Determination of the Possibility of Multiple Steady States in Complex Isothermal Chemical Systems," Rh.D. thesis, Department of Chemical Engineering, University of Rochester (1992)

[19] Li HY, Chem. Eng. Sci., 53(21), 3703 (1998)

[20] Li HY, J. Chem. Phys., 109(19), 8485 (1998)

[21] Li HY, Z Naturforsch., 54a, 245 (1999)

[22] Mason HS, Nature, 177, 79 (1956)

[23] Naish-Byfield S, Riley PA, Biochem. J., 288, 63 (1992)

[24] Orban M, Epstein IR, J. Am. Chem. Soc., 107, 2302 (1985)

[25] Rodriguez-Lopez JN, Tudela J, Varon R, Garcia-Carmona F, Garcia-Canovas F, J. Biol. Chem., 267, 3801 (1992)

[26] Wilcox DE, Porras AG, Hwang YT, Lerch K, Winkler ME, Solomon EI, J. Am. Chem. Soc., 107, 4015 (1985)