Analysis and numerical simulation of an inverse problem for a structured cell population dynamics model

Analysis and numerical simulation of an inverse problem for a structured cell population dynamics model

In this work, we study a multiscale inverse problem associated with a multi-type model for age structured cell populations. In the single type case, the model is a McKendrick-VonFoerster like equation with a mitosis-dependent death rate and potential migration at birth. In the multi-type case, the m...

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Bibliographic Details
Main Authors: Frédérique Clément, Béatrice Laroche, Frédérique Robin
Format: Article
Language:English
Published: AIMS Press 2019-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
age structured cell population
renewal model
mckendrick–vonfoerster equation
inverse problem
multiscale identification problem
fredholm integral
characteristic curves
measure solutions
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2019150?viewType=HTML

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