Naslov
Mathematical analysis of models for reaction kinetics in intracellular environments

Autori
Bajzer, Željko ; Huzak, Miljenko ; Neff, Kevin L. ; Prendergast, Franklyn G.

Izvornik
Mathematical biosciences (0025-5564) 215 (2008), 1; 35-47

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

Ključne riječi
fractal kinetics; macromolecular crowding; bimolecular reaction; progress curves

Sažetak
Two models that have been proposed in the literature for description of kinetics in intracellular environments characterized by macromolecular crowding and inhomogeneities, are mathematically analyzed and discussed. The models are fi rst derived by using simple phenomenological arguments that lead to generalizations of the law of mass action. The prediction of these models is in the case of bimolecular binding reaction is then analyzed. It is mathematically proved that the models may predict qualitatively diff erent behavior of progress curves. In particular they also predict asymptotic steady-state concentrations that cannot be reconciled. In this paper we propose and discuss generalizations of these models which, under specifi ed conditions, lead to qualitatively similar behavior of reaction progress curves. We believe that these generalized models are better suited for data abalysis.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemija, Biologija

POVEZANOST RADA