Analysis and Calibration of a Linear Model for Structured Cell Populations with Unidirectional Motion: Application to the Morphogenesis of Ovarian Follicles

DOI10.1137/17M1161336zbMath1421.35379arXiv1712.05372OpenAlexW2775764342WikidataQ128439231 ScholiaQ128439231MaRDI QIDQ4619295

Frédérique Robin, Romain Yvinec, Frédérique Clément

Publication date: 6 February 2019

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

Full work available at URL: https://arxiv.org/abs/1712.05372

zbMATH Keywords

parameter calibrationstructured cell populationMcKendrick-Von Foerster modelage dependent branching processes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Hyperbolic conservation laws (35L65) Markov renewal processes, semi-Markov processes (60K15) Numerical solutions to stochastic differential and integral equations (65C30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Stochastic nonlinear model for somatic cell population dynamics during ovarian follicle activation ⋮ A birth-death model of ageing: from individual-based dynamics to evolutive differential inclusions ⋮ Limit theorems for multi-type general branching processes with population dependence ⋮ Analysis and numerical simulation of an inverse problem for a structured cell population dynamics model

Uses Software

• Data2Dynamics

Cites Work

• Population-size-dependent and age-dependent branching processes.
• General relative entropy inequality: an illustration on growth models
• Coupled Somatic Cell Kinetics and Germ Cell Growth: Multiscale Model-Based Insight on Ovarian Follicular Development
• Identifiability problem for recovering the mortality rate in an age-structured population dynamics model
• Large population limit and time behaviour of a stochastic particle model describing an age-structured population
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