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

Abstract 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 the stability of new born periodic solutions. Theoretical results are illustrated by numerical simulations and interpreted from the biological point of view.

• Publication year

  2018

• Venue

  Applied Mathematics and Computation

• Publication date

  2018-07-01

• Fields of study

  Biology, Mathematics, Computer Science

• Identifiers
  DOI 10.1016/J.AMC.2018.01.014
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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