Abstract
© 2014, Springer Basel. 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 |
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Pages (from-to) | 841-862 |
Journal | Journal of Evolution Equations |
Volume | 14 |
Issue number | 4-5 |
DOIs | |
Publication status | Published - 1 Jan 2014 |
Keywords
- 45D05
- 47D06
- 92C37
- 92D25