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

Autori
Jukić, Dragan ; Sabo, Kristian ; Scitovski, Rudolf

Izvornik
Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche (0430-3202) 53 (2007); 281-291

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA