Delay equation formulation of a cyclin-structured cell population model

Ricardo Borges, Àngel Calsina, Sílvia Cuadrado, Odo Diekmann

Research output: Contribution to journalArticleResearchpeer-review

6 Citations (Scopus)


© 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 languageEnglish
Pages (from-to)841-862
JournalJournal of Evolution Equations
Issue number4-5
Publication statusPublished - 1 Jan 2014


  • 45D05
  • 47D06
  • 92C37
  • 92D25


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