Wyniki wyszukiwania dla: HOPF BIFURCATION - MOST Wiedzy

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Wyniki wyszukiwania dla: HOPF BIFURCATION

Wyniki wyszukiwania dla: HOPF BIFURCATION

  • Analysis of a gene expression model

    Publikacja

    We study a mathematical model of gene transcription and protein synthesis with negative feedback. We consider a system of equations taking into account the number of active binding sites, the way in which dimers bind to DNA and time delay in translation process. For a simplified model that consist of three ordinary differential equations with time delay we derive conditions for stability of the positive steady state and for the...

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  • Mathematical analysis of a generalised p53-Mdm2 protein gene expression model

    Publikacja

    - APPLIED MATHEMATICS AND COMPUTATION - 2018

    We propose the generalisation of the p53-Mdm2 protein gene expression model introduced by Monk (2003). We investigate the stability of a unique positive steady state and formulate conditions which guarantee the occurrence of the Hopf bifurcation. We show that oscillatory behaviour can be caused not only by time lag in protein transcription process, but also can be present in the model without time delay. Moreover, we investigate...

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