A dynamic p53-mdm2 model with delay kernel

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dc.creatorHorhat, R. F.
dc.creatorNeamtu, M.
dc.creatorOpris, D.
dc.date2006-08-22
dc.date2006-08-23
dc.date.accessioned2026-07-07T07:22:02Z
dc.date.available2026-07-07T07:22:02Z
dc.descriptionSpecific activator and repressor transcription factors which bind to specific regulator DNA sequences, play an important role in gene activity control. Interactions between genes coding such transcripion factors should explain the different stable or sometimes oscillatory gene activities characteristic for different tissues. In this paper, the dynamic P53-Mdm2 interaction model with distributed delays and weak kernel, is investigated. Choosing the delay or the kernel's coefficient as a bifurcation parameter, we study the direction and stability of the bifurcating periodic solutions. Some numerical examples are finally given for justifying the theoretical results.
dc.description23 pages, 8 figures, the paper was presented at "Conference Francophone sur la Modelisation Mathematique en Biologie et en Medecine", Craiova, Roumanie,12-14 July, 2006
dc.identifierhttps://arxiv.org/abs/math/0608547
dc.identifierhttp://arxiv.org/abs/math/0608547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115516
dc.subjectDynamical Systems
dc.subject34C23, 34C25, 37G05, 37G15, 92D10
dc.titleA dynamic p53-mdm2 model with delay kernel
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