Least squares problems for Michaelis Menten kinetics

Hadeler, Karl-Peter; Jukić, Dragan; Sabo, Kristian

Pregled bibliografske jedinice broj: 299421

Least squares problems for Michaelis Menten kinetics

Hadeler, Karl-Peter; Jukić, Dragan; Sabo, Kristian

Least squares problems for Michaelis Menten kinetics // Mathematical Methods in the Applied Sciencies, 30 (2007), 11; 1231-1241 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 299421 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Least squares problems for Michaelis Menten kinetics

Autori
Hadeler, Karl-Peter ; Jukić, Dragan ; Sabo, Kristian

Izvornik
Mathematical Methods in the Applied Sciencies (0170-4214) 30 (2007), 11; 1231-1241

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

Ključne riječi
Michaelis-Menten kinetics; nonlinear least problem; existence; Chebyshev sum inequality

Sažetak
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 non-linear 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 behavior.

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:

Kristian Sabo (autor)