PDE model of cell cycle dynamics and clustering in yeast

DOI10.1016/j.jmaa.2019.123483zbMath1427.35299OpenAlexW2971833964MaRDI QIDQ2011251

Radosław Wieczorek

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123483

zbMATH Keywords

clusteringcell cycleconvergence to singular distributionsautonomous oscillationsphysiologically structured population

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Cites Work

• Numerical approximation of singular asymptotic states for a size-structured population model with a dynamical resource
• Cell cycle clustering and quorum sensing in a response / signaling mediated feedback model
• On a nonlinear age-structured model of semelparous species
• Globally asymptotic properties of proliferating cell populations
• On the stability of the cell size distribution
• Stability and regularity results for a size-structured population model
• Structured population models in biology and epidemiology.
• Leslie matrix models as ``stroboscopic snapshots of McKendrick PDE models
• A model of physiologically structured population dynamics with a nonlinear individual growth rate
• Stability and instability of equilibria of an equation of size structured population dynamics
• Non-linear age-dependent population dynamics
• Clustering in cell cycle dynamics with general response/signaling feedback
• Cell cycle dynamics: clustering is universal in negative feedback systems
• A singular asymptotic behavior of a transport equation
• Stability conditions for a nonlinear size-structured model
• ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast

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