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.
| Original language | English |
|---|---|
| Pages (from-to) | 841-862 |
| Journal | Journal of Evolution Equations |
| Volume | 14 |
| Issue number | 4-5 |
| DOIs | |
| Publication status | Published - Dec 2014 |
Keywords
- 45D05
- 47D06
- 92D25
- 92C37
- Delay equations
- Structured cell population
- Initial value problem
- Steady states
- Linearized stability principle