title: [Deterministic differential equations in cytokinetics].
abstract: Carcinogenesis is generally viewed as the result of a disrupted equilibrium between the processes of proliferation, differentiation, migration and loss. In cell kinetics, perturbation of fundamental kinetic parameters such as the mitotic index or the growth fraction may reflect a carcinogenic process. In this paper, we present a system of deterministic differential equations describing the dynamical evolution of a cell population. We show that this model can account for asynchronicity of cells and simulate the fraction of labelled mitoses experiment as well.
authors.affiliation: Service de mathématiques appliquées, institut d'électricité Montefiore (B28), université de Liège, 4000 Liège, Belgique. fourre@montefiore.ulg.ac.be
authors.forename: F
authors.initials: F
authors.lastname: Fourré
authors.forename: H
authors.initials: H
authors.lastname: Barbason
mesh_terms: D002453:Cell Cycle; D002454:Cell Differentiation; D002455:Cell Division; D008433:Mathematics; D008940:Mitotic Index; D008954:Models, Biological