Parameter estimation in a structured erythropoiesis model.
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.
Ackleh
Azmy S
AS
Department of Mathematics, University of Louisiana, Lafayette, Louisiana 70504, USA. ackleh@louisiana.edu
Thibodeaux
Jeremy J
JJ
D000818:Animals; D002454:Cell Differentiation / Q000502:physiology; D004920:Erythropoiesis / Q000502:physiology*; D004921:Erythropoietin / Q000378:metabolism; D006412:Hematopoietic Stem Cells / Q000166:cytology / Q000502:physiology; D006801:Humans; D008954:Models, Biological
D004921:Erythropoietin