메뉴 건너뛰기




Volumn 47, Issue 1-2, 1998, Pages 9-36

Development of fractal kinetic theory for enzyme-catalysed reactions and implications for the design of biochemical pathways

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CELL FUNCTION; CHEMICAL REACTION KINETICS; ENZYME MECHANISM; FRACTAL ANALYSIS; METABOLISM; MICHAELIS MENTEN KINETICS; STEADY STATE;

EID: 0031853923     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0303-2647(98)00020-3     Document Type: Article
Times cited : (84)

References (50)
  • 1
    • 0040806918 scopus 로고
    • Reduction of dimensionality in biological diffusion processes
    • A. Rich, & N. Davidson. NY: W.H. Freeman
    • Adam G., Delbruck M. Reduction of dimensionality in biological diffusion processes. Rich A., Davidson N. Structural Chemistry and Molecular Biology. 1968;198-215 W.H. Freeman, NY.
    • (1968) Structural Chemistry and Molecular Biology , pp. 198-215
    • Adam, G.1    Delbruck, M.2
  • 2
    • 0029908304 scopus 로고    scopus 로고
    • Lipid peroxidation in mitrochondrial inner membranes. 1. An integrative kinetic model
    • Antunes F., Salvador A., Marinho H.S., Alves R., Pinto R.E. Lipid peroxidation in mitrochondrial inner membranes. 1. an integrative kinetic model. Free Rad. Biol. Med. 21:1996;917-943.
    • (1996) Free Rad. Biol. Med. , vol.21 , pp. 917-943
    • Antunes, F.1    Salvador, A.2    Marinho, H.S.3    Alves, R.4    Pinto, R.E.5
  • 4
    • 0001497839 scopus 로고
    • Asymptotic behaviour of densities in diffusion-dominated annihilation reactions
    • Bramson M., Lebowitz J.L. Asymptotic behaviour of densities in diffusion-dominated annihilation reactions. Phys. Rev. Lett. 61:1988;2397-2400.
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2397-2400
    • Bramson, M.1    Lebowitz, J.L.2
  • 5
    • 0026436962 scopus 로고
    • Cellular infrastructure and metabolic organisation
    • Clegg J.S. Cellular infrastructure and metabolic organisation. Curr. Top. Cell. Regul. 33:1992;3-14.
    • (1992) Curr. Top. Cell. Regul. , vol.33 , pp. 3-14
    • Clegg, J.S.1
  • 6
    • 0028007076 scopus 로고
    • Fractal analysis of proton exchange kinetics in lysozyme
    • Dewey T.G. Fractal analysis of proton exchange kinetics in lysozyme. Proc. Natl. Acad. Sci. USA. 91:1994;12101-12104.
    • (1994) Proc. Natl. Acad. Sci. USA , vol.91 , pp. 12101-12104
    • Dewey, T.G.1
  • 8
    • 20544440795 scopus 로고
    • Properties of the reaction front in an A+B→C type reaction-diffusion process
    • Galfi L., Racz Z. Properties of the reaction front in an A+B→C type reaction-diffusion process. Phys. Rev. A. 38:1988;3151-3154.
    • (1988) Phys. Rev. A , vol.38 , pp. 3151-3154
    • Galfi, L.1    Racz, Z.2
  • 12
    • 0025445207 scopus 로고
    • Efficient solution of nonlinear ordinary differential equations expressed in S-system canonical form
    • Irvine D.H., Savageau M.A. Efficient solution of nonlinear ordinary differential equations expressed in S-system canonical form. SIAM J. Numer. Anal. 27:1990;704-735.
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 704-735
    • Irvine, D.H.1    Savageau, M.A.2
  • 13
    • 0001028912 scopus 로고
    • Simulation study of reaction fronts
    • Jiang Z., Ebner C. Simulation study of reaction fronts. Phys. Rev. A. 42:1990;7483-7486.
    • (1990) Phys. Rev. A , vol.42 , pp. 7483-7486
    • Jiang, Z.1    Ebner, C.2
  • 14
    • 4544347670 scopus 로고
    • Scaling approach for the kinetics of recombination processes
    • Kang K., Redner S. Scaling approach for the kinetics of recombination processes. Phys. Rev. Lett. 52:1984;955-958.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 955-958
    • Kang, K.1    Redner, S.2
  • 15
    • 0000621127 scopus 로고
    • Space- and time-resolved diffusion-limited binary reaction kinetics in capillaries: Experimental observation of segregation, anomalous exponents, and depletion zone
    • Koo Y.-E.L., Kopelman R. Space- and time-resolved diffusion-limited binary reaction kinetics in capillaries: experimental observation of segregation, anomalous exponents, and depletion zone. J. Stat. Phys. 65:1991;893-918.
    • (1991) J. Stat. Phys. , vol.65 , pp. 893-918
    • Koo, Y.-E.L.1    Kopelman, R.2
  • 16
    • 30244438013 scopus 로고
    • Rate processes on fractals: Theory, simulations, and experiments
    • Kopelman R. Rate processes on fractals: theory, simulations, and experiments. J. Stat. Phys. 42:1986;185-200.
    • (1986) J. Stat. Phys. , vol.42 , pp. 185-200
    • Kopelman, R.1
  • 17
    • 85005669413 scopus 로고
    • Reaction kinetics in restricted spaces
    • Kopelman R. Reaction kinetics in restricted spaces. Isr. J. Chem. 31:1991;147-157.
    • (1991) Isr. J. Chem. , vol.31 , pp. 147-157
    • Kopelman, R.1
  • 18
    • 0025054643 scopus 로고
    • Fractal mechanisms for the allosteric effects of proteins and enzymes
    • Li H.Q., Chen S.H., Zhao H.M. Fractal mechanisms for the allosteric effects of proteins and enzymes. Biophys. J. 58:1990;1313-1320.
    • (1990) Biophys. J. , vol.58 , pp. 1313-1320
    • Li, H.Q.1    Chen, S.H.2    Zhao, H.M.3
  • 19
    • 0025142421 scopus 로고
    • Using fractals to understand the opening and closing of ion channels
    • Liebovitch L.S., Toth T.I. Using fractals to understand the opening and closing of ion channels. Ann. Biomed. Eng. 18:1990;177-194.
    • (1990) Ann. Biomed. Eng. , vol.18 , pp. 177-194
    • Liebovitch, L.S.1    Toth, T.I.2
  • 20
    • 0028950626 scopus 로고
    • Carrier-mediated transport can obey fractal kinetics
    • Macheras P. Carrier-mediated transport can obey fractal kinetics. Pharm. Res. 12:1995;541-548.
    • (1995) Pharm. Res. , vol.12 , pp. 541-548
    • Macheras, P.1
  • 21
    • 0023193842 scopus 로고
    • Glycolysis - New concepts in an old pathway
    • Masters C.J., Reid S., Don M. Glycolysis - New concepts in an old pathway. Mol. Cell. Biochem. 76:1987;3-14.
    • (1987) Mol. Cell. Biochem. , vol.76 , pp. 3-14
    • Masters, C.J.1    Reid, S.2    Don, M.3
  • 22
    • 0026730739 scopus 로고
    • Confinement as a determinant of macromolecular structure and reactivity
    • Minton A.P. Confinement as a determinant of macromolecular structure and reactivity. Biophys. J. 63:1992;1090-1110.
    • (1992) Biophys. J. , vol.63 , pp. 1090-1110
    • Minton, A.P.1
  • 23
    • 0000012255 scopus 로고
    • Steady-state chemical kinetics on surface clusters and islands: Segregation of reactants
    • Newhouse J.S., Kopelman R. Steady-state chemical kinetics on surface clusters and islands: segregation of reactants. J. Phys. Chem. 92:1988;1538-1541.
    • (1988) J. Phys. Chem. , vol.92 , pp. 1538-1541
    • Newhouse, J.S.1    Kopelman, R.2
  • 25
    • 0025895417 scopus 로고
    • Physiological significance of metabolic channelling [and the collection of papers that follow in this special issue on metabolic channelling]
    • Ovadi J. Physiological significance of metabolic channelling [and the collection of papers that follow in this special issue on metabolic channelling]. J. Theor. Biol. 152:1991;1-22.
    • (1991) J. Theor. Biol. , vol.152 , pp. 1-22
    • Ovadi, J.1
  • 26
    • 4243056171 scopus 로고
    • Role of density fluctuations in bimolecular reaction kinetics
    • Ovchinnikov A.A., Zeldovich Ya.B. Role of density fluctuations in bimolecular reaction kinetics. Chem. Phys. 28:1978;215-218.
    • (1978) Chem. Phys. , vol.28 , pp. 215-218
    • Ovchinnikov, A.A.1    Zeldovich, Ya.B.2
  • 28
    • 0021763423 scopus 로고
    • Metrics from nonlinear dynamics adapted for characterising the behaviour of nonequilibrium enzymatic rate functions
    • Russo P.V., Mandell A.J. Metrics from nonlinear dynamics adapted for characterising the behaviour of nonequilibrium enzymatic rate functions. Anal. Biochem. 139:1984;91-99.
    • (1984) Anal. Biochem. , vol.139 , pp. 91-99
    • Russo, P.V.1    Mandell, A.J.2
  • 29
    • 0014649230 scopus 로고
    • Biochemical systems analysis I. Some mathematical properties of the rate law for the component enzymatic reactions
    • Savageau M.A. Biochemical systems analysis I. Some mathematical properties of the rate law for the component enzymatic reactions. J. Theor. Biol. 25:1969a;365-369.
    • (1969) J. Theor. Biol. , vol.25 , pp. 365-369
    • Savageau, M.A.1
  • 30
    • 0014658880 scopus 로고
    • Biochemical systems analysis II. The steady state solutions for an n-pool system using a power-law approximation
    • Savageau M.A. Biochemical systems analysis II. The steady state solutions for an n-pool system using a power-law approximation. J. Theor. Bioi. 25:1969b;370-379.
    • (1969) J. Theor. Bioi. , vol.25 , pp. 370-379
    • Savageau, M.A.1
  • 31
    • 0015103748 scopus 로고
    • Concepts relating the behaviour of biochemical systems to their underlying molecular properties
    • Savageau M.A. Concepts relating the behaviour of biochemical systems to their underlying molecular properties. Arch. Biochem. Biophys. 145:1971;612-621.
    • (1971) Arch. Biochem. Biophys. , vol.145 , pp. 612-621
    • Savageau, M.A.1
  • 32
    • 85012694370 scopus 로고
    • The behaviour of intact biochemical control systems
    • Savageau M.A. The behaviour of intact biochemical control systems. Curr. Top. Cell. Regul. 6:1972;63-130.
    • (1972) Curr. Top. Cell. Regul. , vol.6 , pp. 63-130
    • Savageau, M.A.1
  • 33
    • 0016201107 scopus 로고
    • Optimal design of feedback control by inhibition: Steady-state considerations
    • Savageau M.A. Optimal design of feedback control by inhibition: steady-state considerations. J. Mol. Evol. 4:1974;139-156.
    • (1974) J. Mol. Evol. , vol.4 , pp. 139-156
    • Savageau, M.A.1
  • 34
    • 0016788494 scopus 로고
    • Optimal design of feedback control by inhibition: Dynamic considerations
    • Savageau M.A. Optimal design of feedback control by inhibition: dynamic considerations. J. Mol. Evol. 5:1975;199-222.
    • (1975) J. Mol. Evol. , vol.5 , pp. 199-222
    • Savageau, M.A.1
  • 36
    • 0002673826 scopus 로고
    • A critique of the enzymologist's test tube
    • BittarE.E. Greenwich, CT: JAI Press
    • Savageau M.A. A critique of the enzymologist's test tube. Bittar E.E. Fundamentals of Medical Cell Biology. 3A:1992;45-108 JAI Press, Greenwich, CT.
    • (1992) Fundamentals of Medical Cell Biology , vol.3 A , pp. 45-108
    • Savageau, M.A.1
  • 37
    • 0027791898 scopus 로고
    • Influence of fractal kinetics on molecular recognition
    • Savageau M.A. Influence of fractal kinetics on molecular recognition. J. Mol. Recognit. 6:1993;149-157.
    • (1993) J. Mol. Recognit. , vol.6 , pp. 149-157
    • Savageau, M.A.1
  • 38
    • 0029134903 scopus 로고
    • Michaelis-Menten mechanism reconsidered: Implications of fractal kinetics
    • Savageau M.A. Michaelis-Menten mechanism reconsidered: Implications of fractal kinetics. J. Theor. Biol. 176:1995;115-124.
    • (1995) J. Theor. Biol. , vol.176 , pp. 115-124
    • Savageau, M.A.1
  • 39
    • 0001068695 scopus 로고    scopus 로고
    • Power-law formalism: A canonical nonlinear approach to modeling and analysis
    • LakshmikanthamV. Berlin: Walter de Gruyter Publishers
    • Savageau M.A. Power-law formalism: a canonical nonlinear approach to modeling and analysis. Lakshmikantham V. World Congress of Nonlinear Analysts 92. 4:1996;3323-3334 Walter de Gruyter Publishers, Berlin.
    • (1996) World Congress of Nonlinear Analysts 92 , vol.4 , pp. 3323-3334
    • Savageau, M.A.1
  • 40
    • 0342349799 scopus 로고
    • Recasting nonlinear differential equations as S-systems: A canonical nonlinear form
    • Savageau M.A., Voit E.O. Recasting nonlinear differential equations as S-systems: a canonical nonlinear form. Math. Biosci. 87:1987;83-115.
    • (1987) Math. Biosci. , vol.87 , pp. 83-115
    • Savageau, M.A.1    Voit, E.O.2
  • 41
    • 0010595278 scopus 로고
    • The development of enzyme kinetics
    • P.D. Boyer, H. Lardy, & K. Myrback. New York: Academic Press
    • Segal H.L. The development of enzyme kinetics. Boyer P.D., Lardy H., Myrback K. The Enzymes, 2nd ed. 1:1959;1-48 Academic Press, New York.
    • (1959) The Enzymes, 2nd Ed. , vol.1 , pp. 1-48
    • Segal, H.L.1
  • 42
    • 0026495410 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum I. Formulation of alternative kinetic representations
    • Shiraishi F., Savageau M.A. The tricarboxylic acid cycle in Dictyostelium discoideum I. Formulation of alternative kinetic representations. J. Biol. Chem. 267:1992a;22912-22918.
    • (1992) J. Biol. Chem. , vol.267 , pp. 22912-22918
    • Shiraishi, F.1    Savageau, M.A.2
  • 43
    • 0026470976 scopus 로고
    • The tricarboxylic acid cycle in Dictyostelium discoideum III. Analysis of steady-state and dynamic behaviour
    • Shiraishi F., Savageau M.A. The tricarboxylic acid cycle in Dictyostelium discoideum III. Analysis of steady-state and dynamic behaviour. J. Biol. Chem. 267:1992b;22926-22933.
    • (1992) J. Biol. Chem. , vol.267 , pp. 22926-22933
    • Shiraishi, F.1    Savageau, M.A.2
  • 44
    • 0024673591 scopus 로고
    • Strategies for representing metabolic pathways within biochemical systems theory: Reversible pathways
    • Sorribas A., Savageau M.A. Strategies for representing metabolic pathways within biochemical systems theory: reversible pathways. Math. Biosci. 94:1989;239-269.
    • (1989) Math. Biosci. , vol.94 , pp. 239-269
    • Sorribas, A.1    Savageau, M.A.2
  • 48
    • 0023661067 scopus 로고
    • Accuracy of alternative representations for integrated biochemical systems
    • Voit E.O., Savageau M.A. Accuracy of alternative representations for integrated biochemical systems. Biochemistry. 26:1987;6869-6880.
    • (1987) Biochemistry , vol.26 , pp. 6869-6880
    • Voit, E.O.1    Savageau, M.A.2
  • 50
    • 0001537697 scopus 로고
    • Kinetic formulations for enzymatic reactions involving two substrates
    • Wong J.T.-F., Hanes C.S. Kinetic formulations for enzymatic reactions involving two substrates. Can. J. Biochem. Physiol. 40:1962;763-804.
    • (1962) Can. J. Biochem. Physiol. , vol.40 , pp. 763-804
    • Wong, J.T.-F.1    Hanes, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.