Relation between intersection of nullclines and periodic solutions in a di erential equations of p53 oscillator
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-3-2_006
تاریخ نمایه سازی: 6 شهریور 1396
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.
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Authors
f Rangi
Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran,
m Tavakoli
Pardis of Hasheminejad, Farhangian University, Mashhad, Iran.