A compartmental reaction-diffusion cell cycle model

DOI10.1016/0898-1221(89)90006-0zbMath0722.92008OpenAlexW1984917696MaRDI QIDQ757278

Joseph M. Mahaffy, Stavros N. Busenberg

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90006-0

zbMATH Keywords

boundary conditionsnucleustwo-compartment modelcytoplasmcell cycleeukaryotic cellcell volumecritical stability curveDNA synthesisepigenetic oscillationsgenetic control by repressionreaction - diffusion processesreproduction time of the cellS phase triggering mechanismspherical shapes

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items

An asymptotic analysis of a 2-D model of dynamically active compartments coupled by bulk diffusion ⋮ Age-structured and two-delay models for erythropoiesis

Cites Work

• Unnamed Item
• Globally asymptotic properties of proliferating cell populations
• Models of genetic control by repression with time delays and spatial effects
• Interaction of spatial diffusion and delays in models of genetic control by repression
• A stochastic model of cell division (with application to fission yeast)
• The Effects of Dimension and Size for a Compartmental Model of Repression
• A test for stability of linear differential delay equations
• Time lag in systems described by difference or differential equations
• Global asymptotic stability of certain models for protein synthesis and repression