Relation between intersection of nullclines and periodic solutions in a differential equations of p53 oscillator

Document Type : Research Article

Authors

• F. Rangi ¹
• M. Tavakoli ²

¹ Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.

² Pardis of Hasheminejad, Farhangian University, Mashhad, Iran.

10.22067/ijnao.v3i2.24083

Abstract

We consider a simple mathematical model that suggests emergence of oscillations in p53 and Mdm2 protein levels in response to stress signal. Intracellular activity of the p53 protein is regulated by a transcriptional target, Mdm2, through a feedback loop. The model is classified in five cases with respect to intersection of nullclines. In each case occurrence(or not) of the limit cycle is investigated.

Keywords

• DNA damage
• p53-Mdm2
• Limit cycle
• Mathematical biology

20.1001.1.24236977.2013.3.2.6.9

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