title: On the equivalence of mathematical models for cell proliferation kinetics.
abstract: Various types of mathematical models, such as partial differential equations, ordinary differential equations and difference equations, are available in the literature to describe the kinetics of cell proliferation, and different studies of cell kinetic phenomena have been conducted using these models. This paper discusses the equivalence between the different models identifying the conditions and approximations under which one type of models may be derived from another. Such an equivalence study is highly useful for an integration of the diverse results that have been obtained using different models in order to gain a more complete understanding of cell kinetic phenomena.
mesh_terms: D000818:Animals; D002455:Cell Division; D008433:Mathematics; D008954:Models, Biological