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| We consider a nonlinear cyclin content structured model of a cell population divided into proliferative and quiescent cells. Under suitable hypotheses, we show existence and uniqueness of a steady
state of this model by using positive linear semigroup theory.
We also 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.
Finally we use the delay equation formulation of structured population dynamics to write a different version of the cell population model for which we characterize steady states and establish the validity of the principle of linearized stability. |
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