PDE Models of Adder Mechanisms in Cellular Proliferation

DOI10.1137/19M1246754MaRDI QIDQ5113805

Mingtao Xia, Chris D. Greenman, Tom Chou

Publication date: 17 June 2020

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

Full work available at URL: https://arxiv.org/abs/2003.12233

zbMATH Keywords

PDEstructured populationscell size controladder-sizer modelinitiation adder

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell biology (92C37) Genetics and epigenetics (92D10) General biology and biomathematics (92B05) Computational methods for problems pertaining to biology (92-08)

Related Items (5)

A frequency-dependent \(p\)-adaptive technique for spectral methods ⋮ Joint distribution of protein concentration and cell volume coupled by feedback in dilution ⋮ Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains ⋮ Adaptive Hermite spectral methods in unbounded domains ⋮ Kinetic theory for structured populations: application to stochastic sizer-timer models of cell proliferation

Cites Work

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• A hierarchical kinetic theory of birth, death and fission in age-structured interacting populations
• Cyclic asymptotic behaviour of a population reproducing by fission into two equal parts
• Steady distribution of the incremental model for bacteria proliferation
• Statistical estimation of a growth-fragmentation model observed on a genealogical tree
• A path integral approach to age dependent branching processes
• EIGENELEMENTS OF A GENERAL AGGREGATION-FRAGMENTATION MODEL
• Numerical solution of an inverse problem in size-structured population dynamics

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