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

Monika Piotrowska; Agnieszka Bartłomiejczyk; Marek Bodnar

doi:10.1016/j.amc.2018.01.014

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.

Citations

2

CrossRef
0

Web of Science
5

Scopus

Authors (3)

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: APPLIED MATHEMATICS AND COMPUTATION no. 328, pages 26 - 44,
ISSN: 0096-3003
Language:: English
Publication year:: 2018
Bibliographic description:: Piotrowska M., Bartłomiejczyk A., Bodnar M.: Mathematical analysis of a generalised p53-Mdm2 protein gene expression model// APPLIED MATHEMATICS AND COMPUTATION. -Vol. 328, (2018), s.26-44
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.amc.2018.01.014
Verified by:: Gdańsk University of Technology