Comparison of Approaches to Modeling of Cell Population Dynamics

DOI10.1137/0153069zbMath0796.92019OpenAlexW2083394064MaRDI QIDQ4272633

Ovide Arino, Marek Kimmel

Publication date: 20 December 1993

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

Full work available at URL: https://doi.org/10.1137/0153069

zbMATH Keywords

nonlocal boundary conditionsreviewcell cycleFubini's theoremage and size structurearbitrary growth functionbranching process approachpartial differential equations approachstructured cell population models

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of branching processes (60J85) Population dynamics (general) (92D25) Physiological, cellular and medical topics (92C99)

Related Items (10)

Two simple models of almost the same population with very different dynamics ⋮ Nonlocal problems involving spatial structure for coupled reaction-diffusion systems ⋮ Oscillations and global attractivity in delay differential equations of population dynamics ⋮ Asynchronous exponential growth of a general structured population model ⋮ Blood Cell Dynamics: Half of a Century of Modelling ⋮ Synchronisation and control of proliferation in cycling cell population models with age structure ⋮ A branching process model for flow cytometry and budding index measurements in cell synchrony experiments ⋮ A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients ⋮ Heavy-tailed distributions in branching process models of secondary cancerous tumors ⋮ Optimisation of Cancer Drug Treatments Using Cell Population Dynamics

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