PDE model of cell cycle dynamics and clustering in yeast
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Publication:2011251
DOI10.1016/j.jmaa.2019.123483zbMath1427.35299OpenAlexW2971833964MaRDI QIDQ2011251
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
clusteringcell cycleconvergence to singular distributionsautonomous oscillationsphysiologically structured population
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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