Oscillations in a molecular structured cell population model

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Abstract

We consider a nonlinear cyclin content structured model of a cell population divided into proliferative and quiescent cells. We show, for particular values of the parameters, the existence of solutions that do not depend on the cyclin content. We make numerical simulations for the general case obtaining, for some values of the parameters convergence to the steady state, but for others oscillations of the population. © 2011 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)1911-1922
JournalNonlinear Analysis: Real World Applications
Volume12
DOIs
Publication statusPublished - 1 Aug 2011

Keywords

  • Numerical simulation
  • Oscillations
  • Structured cell population

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