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Elasticities in Metabolic Control Analysis: algebraic derivation of simplified expressions
Author(s) -
John H. Woods,
Herbert M. Sauro
Publication year - 1997
Publication title -
bioinformatics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.599
H-Index - 390
eISSN - 1367-4811
pISSN - 1367-4803
DOI - 10.1093/bioinformatics/13.2.123
Subject(s) - algebraic expression , algebraic number , expression (computer science) , elasticity (physics) , computer science , effector , algebraic equation , control (management) , mathematics , mathematical optimization , nonlinear system , mathematical analysis , chemistry , artificial intelligence , thermodynamics , biochemistry , physics , quantum mechanics , programming language
Metabolic Control Analysis is one of many disciplines that make use of scaled derivatives. In particular, 'elasticities' are used to quantify the effect of an effector or substrate concentration on an enzyme rate under locally specified conditions. Normally an algebraic expression for the elasticity of an enzyme is obtained by differentiating its rate law, multiplying by the effector concentration and dividing by the rate law itself: this results in considerable expression expansion, and when the results are subsequently simplified it is often at the expense of biological comprehensibility.

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