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Mathematical analysis of a generalised p53-Mdm2 protein gene expression model
Abstrakt
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.
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Autorzy
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Monika Piotrowska dr hab.
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Marek Bodnar, dr hab.
Informacje szczegółowe
Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
APPLIED MATHEMATICS AND COMPUTATION
nr 328,
strony 26 - 44,
ISSN: 0096-3003
ISSN: 0096-3003
Język:
angielski
Rok wydania:
2018
Opis bibliograficzny:
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
wyświetlono 8 razy