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Metabolic control analysis : ウィキペディア英語版
Metabolic control analysis
Metabolic control analysis (MCA) is a mathematical framework for describing
metabolic, signaling, and genetic pathways. MCA quantifies how variables,
such as fluxes and species concentrations, depend on network parameters.
In particular it is able to describe how network dependent properties,
called control coefficients, depend on local properties called elasticities.〔Fell D., (1997) Understanding the Control of Metabolism, Portland Press.〕〔Heinrich R. and Schuster S. (1996) The Regulation of Cellular Systems, Chapman and Hall.

MCA was originally developed to describe the control in metabolic pathways
but was subsequently extended to describe signaling and genetic networks. MCA has sometimes also been referred to as ''Metabolic Control Theory'' but this terminology was rather strongly opposed by Henrik Kacser, one of the founders.
More recent work〔Ingalls, B. P. (2004) A Frequency Domain Approach to Sensitivity Analysis of Biochemical Systems , Journal of Physical Chemistry B, 108, 1143-1152.〕 has shown that MCA can be mapped directly on to classical control theory and are as such equivalent.
Biochemical systems theory〔Savageau M.A (1976) Biochemical systems analysis: a study of function and design in molecular biology, Reading, MA, Addison–Wesley.〕 is a similar formalism, though with a rather different objectives. Both are evolutions of an earlier theoretical analysis by Joseph Higgins.
== Control Coefficients ==

A control coefficient〔Burns, J.A., Cornish-Bowden, A., Groen, A.K., Heinrich, R., Kacser, H., Porteous, J.W., Rapoport, S.M., Rapoport, T.A., Stucki, J.W., Tager, J.M., Wanders, R.J.A. & Westerhoff, H.V. (1985) Control analysis of metabolic systems. Trends Biochem. Sci. 10, 16.〕 measures the relative steady state change in a system variable, e.g. pathway flux (J) or metabolite concentration (S), in response to a relative change in a parameter, e.g. enzyme activity or the steady-state rate ( v_i ) of step i. The two main control coefficients are the flux and concentration control coefficients. Flux control coefficients are defined by:
C^J_ = \left( \frac \frac \right) \bigg/ \left( \frac\frac \right) = \frac
and concentration control coefficients by:
C^S_ = \left( \frac \frac \right) \bigg/ \left( \frac \frac \right) = \frac

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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