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A review of existence criteria for parameter estimation of the Michaelis-Menten regression model (CROSBI ID 132402)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Jukić, Dragan ; Sabo, Kristian ; Scitovski, Rudolf A review of existence criteria for parameter estimation of the Michaelis-Menten regression model // Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche, 53 (2007), 281-291

Podaci o odgovornosti

Jukić, Dragan ; Sabo, Kristian ; Scitovski, Rudolf

engleski

A review of existence criteria for parameter estimation of the Michaelis-Menten regression model

In this paper we consider the least squares (LS) and total least squares (TLS) problems for a Michaelis-Menten enzyme kinetic model $f(x ; a, b)=ax/(b+x)$, $a, b>0$. In various applied research such as biochemistry, pharmacology, biology and medicine there are lots of different applications of this model. We will systematize some of our results pertaining to the existence of the LS and TLS estimate, which were proved in papers [16] and [17]. Finally, we suggest a choice of good initial approximation and give one numerical example.

Michaelis-Menten function; nonlinear least; least squares estimate; total least squares; existence problem

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Podaci o izdanju

53

2007.

281-291

objavljeno

0430-3202

1827-1510

Povezanost rada

Matematika

Indeksiranost