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A method for testing the stability of a steady‐state system during the calculation of a response to large changes in regulator concentrations
Author(s) -
Crabtree B.,
Newsholme E.A.
Publication year - 1991
Publication title -
febs letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.593
H-Index - 257
eISSN - 1873-3468
pISSN - 0014-5793
DOI - 10.1016/0014-5793(91)80323-u
Subject(s) - instability , control theory (sociology) , stability (learning theory) , regulator , sign (mathematics) , decomposition , matrix (chemical analysis) , steady state (chemistry) , mathematics , biological system , chemistry , computer science , mathematical analysis , chromatography , physics , biology , control (management) , mechanics , biochemistry , artificial intelligence , organic chemistry , machine learning , gene
A modification of the ‘finite decomposition’ method (Crabtree and Newsholme (1985) Curr. Top. Cell. Regul. 25, 21–76) for calculating physiological responses from sensitivities is described, to enable the system to be tested for stability at each step of the procedure. Instability is indicated by a change of sign of the determinant of the square matrix ( N ) in the governing equation for the system. The method cannot be used to predict responses beyond any step at which instability occurs.