Oscillations in a molecular structured cell population model |
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Authors: | Ricardo Borges Àngel Calsina Sílvia Cuadrado |
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Affiliation: | Departament de Matemàtiques, Facultat de Ciències, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès, Barcelona, Spain |
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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. |
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