Numerical rate function determination in partial differential equations modeling cell population dynamics
type: Item
instance of: scholarly article
title: Numerical rate function determination in partial differential equations modeling cell population dynamics
zbMATH Open document ID: 1377.65122
author: Andreas Groh
author: Holger Kohr
author: A. K. Louis
published in: Journal of Mathematical Biology
publication date: 2017-02-10T00:00:00Z
review text: This article deals with an inverse problem associated with a size-structured population balance equation (PBE) predicting the evolution of the number distribution of a single cell population as a function of the size variable. The inverse problem consists in determining the unknown rate function from the considered PBE under the assumption of equal partitioning. The technique of solving the inverse problem is based on the approximate inverse method, a pointwise regularization scheme. The authors present the theoretical analysis of the inverse problem, as well as some numerical results.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 6683734
zbMATH Keywords: inverse problem
zbMATH Keywords: cell population dynamics
zbMATH Keywords: parameter estimation
zbMATH Keywords: population balance equation
zbMATH Keywords: regularization
zbMATH Keywords: numerical result
MaRDI profile type: Publication
full work available at URL: s00285-016-1032-2
OpenAlex ID: W2412567504
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Wikidata QID: Q39687981
DOI: 10.1007/S00285-016-1032-2
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description: scientific article; zbMATH DE number 6683734