Least-squares problems for Michaelis–Menten kinetics

Autor:	Kristian Sabo, K. P. Hadeler, Dragan Jukić
Rok vydání:	2007
Předmět:	Well-posed problem Nonlinear system Monotone polygon General Mathematics Mathematical analysis General Engineering Michaelis–Menten kinetics Physiological reaction Least squares Chebyshev filter Mathematics
Zdroj:	Mathematical Methods in the Applied Sciences. 30:1231-1241
ISSN:	1099-1476 0170-4214
DOI:	10.1002/mma.835
Popis:	The Michaelis–Menten kinetics is fundamental in chemical and physiological reaction theory. The problem of parameter identification, which is not well posed for arbitrary data, is shown to be closely related to the Chebyshev sum inequality. This inequality yields sufficient conditions for existence of feasible solutions both for nonlinear and for linear least-squares problems. The conditions are natural and practical as they are satisfied if the data show the expected monotone and concave behaviour. Copyright © 2007 John Wiley & Sons, Ltd.
Databáze:	OpenAIRE
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