Artykuł w czasopiśmie
Brak miniatury
Licencja

ClosedAccessDostęp zamknięty
 

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

Uproszczony widok
dc.abstract.enWe 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.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorBodnar, Marek
dc.contributor.authorPiotrowska, Monika
dc.contributor.authorBartłomiejczyk, Agnieszka
dc.date.accessioned2024-01-25T05:34:17Z
dc.date.available2024-01-25T05:34:17Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.volume328
dc.identifier.doi10.1016/J.AMC.2018.01.014
dc.identifier.issn0096-3003
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/111926
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0096300318300274?via%3Dihub
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.pages26-44
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.subject.enDelay differential equations
dc.subject.enStability analysis
dc.subject.enHopf bifurcation
dc.subject.enp53 protein
dc.titleMathematical analysis of a generalised p53-Mdm2 protein gene expression model
dc.typeJournalArticle
dspace.entity.typePublication