Parameter estimation in a structured erythropoiesis model

We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. Convergence theory for the computedparameters is provided. Numerical results for estimating the growthrate of precursor cells as a function o...

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Bibliographic Details
Main Authors: Azmy S. Ackleh, Jeremy J. Thibodeaux
Format: Article
Language:English
Published: AIMS Press 2008-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.601
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Summary:We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. Convergence theory for the computedparameters is provided. Numerical results for estimating the growthrate of precursor cells as a function of the erythropoietinconcentration and the decay rate of erythropoietin as a function ofthe total number of precursor cells from computationally generateddata are provided. Standard errors for such parameters are alsogiven.
ISSN:1551-0018