Total least squares fitting Michaelis-Menten enzyme kinetic model function

Jukić, Dragan; Sabo, Kristian; Scitovski, Rudolf

Pregled bibliografske jedinice broj: 299420

Total least squares fitting Michaelis-Menten enzyme kinetic model function

Jukić, Dragan; Sabo, Kristian; Scitovski, Rudolf

Total least squares fitting Michaelis-Menten enzyme kinetic model function // Journal of Computational and Applied Mathematics, 201 (2007), 1; 230-246 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 299420 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Total least squares fitting Michaelis-Menten enzyme kinetic model function

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

Izvornik
Journal of Computational and Applied Mathematics (0377-0427) 201 (2007), 1; 230-246

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

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

Sažetak
The Michaelis-Menten enzyme kinetic model $f(x ; a, b)=ax/(b+x)$, $a, b>0$, is widely used in biochemistry, pharmacology, biology and medical research. Given the data $(p_i, x_i, y_i)$, $i=1, \ldots, m$, $m\geq 3$, we consider the total least squares (TLS) problem for the Michaelis-Menten model. We show that it is possible that the TLS estimate does not exist. As the main result, we show that the TLS estimate exists if the data satisfy some natural conditions. Some numerical examples are included.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA

Projekti:
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Jukić, Dragan, MZOS ) ( CroRIS)
235-2352818-1039 - Statistički aspekti problema procjene u nelinearnim parametarskim modelima (Benšić, Mirta, MZOS ) ( CroRIS)

Ustanove:
Sveučilište u Osijeku, Odjel za matematiku

Profili:

Rudolf Scitovski (autor)