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