The Effects of Dimension and Size for a Compartmental Model of Repression

DOI10.1137/0148049zbMath0662.92011OpenAlexW2068864323MaRDI QIDQ3813655

Joseph M. Mahaffy, Stavros N. Busenberg

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148049

zbMATH Keywords

diffusionHopf bifurcationnucleusoscillationstranslationcompartmental modelcytoplasmtranscriptioncell cyclemitosisdelay partial differential equationDelaysmRNAbifurcation of time periodic solutionsmessenger RNAlinearized stability methodscontrol by repressioneukaryotic cellscell clocking mechanismdiffusion constantsrepressor of messenger RNAsystem dimensionstriggering division

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

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