Delay equation formulation of a cyclin-structured cell population model |
| |
Authors: | Ricardo Borges Àngel Calsina Sílvia Cuadrado Odo Diekmann |
| |
Affiliation: | 1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain 2. Department of Mathematics, Utrecht University, Utrecht, The Netherlands
|
| |
Abstract: | The aim of this paper is to derive a system of two renewal equations from individual-level assumptions concerning a cyclin-structured cell population. Nonlinearity arises from the assumption that the rate at which quiescent cells become proliferating is determined by feedback. In fact, we assume that this rate is a nonlinear function of a weighted population size. We characterize steady states and establish the validity of the principle of linearized stability. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|