Parameter estimation in a structured erythropoiesis model

Azmy S. Ackleh; Jeremy J. Thibodeaux

doi:10.3934/mbe.2008.5.601

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2008, Volume 5, Issue 4: 601-616. Doi: 10.3934/mbe.2008.5.601

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Parameter estimation in a structured erythropoiesis model

Azmy S. Ackleh^1, and
Jeremy J. Thibodeaux^2,

1.
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010
2.
Department of Mathematics and Statistics, University of Central Oklahoma, Edmond, Oklahoma 73034

Received: November 30, 2007

Revised: April 30, 2008

Published: September 2008

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Abstract

We develop a numerical method for estimating parameters in a structured erythropoiesis model consisting of a nonlinear system of partial differential equations. Convergence theory for the computed parameters is provided. Numerical results for estimating the growth rate of precursor cells as a function of the erythropoietin concentration and the decay rate of erythropoietin as a function of the total number of precursor cells from computationally generated data are provided. Standard errors for such parameters are also given.

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Mathematics Subject Classification: Primary: 92C37, 65M06.

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