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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| Format: | Article |
| Language: | English |
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AIMS Press
2008-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.601 |
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| author | Azmy S. Ackleh Jeremy J. Thibodeaux |
| author_facet | Azmy S. Ackleh Jeremy J. Thibodeaux |
| author_sort | Azmy S. Ackleh |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-27bb55a6e5054971b0699bdcc02cb571 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-27bb55a6e5054971b0699bdcc02cb5712025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015460161610.3934/mbe.2008.5.601Parameter estimation in a structured erythropoiesis modelAzmy S. Ackleh0Jeremy J. Thibodeaux1Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010We 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.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.601erythropoiesisstructured modelfinitedifference approximationparameter estimation |
| spellingShingle | Azmy S. Ackleh Jeremy J. Thibodeaux Parameter estimation in a structured erythropoiesis model Mathematical Biosciences and Engineering erythropoiesis structured model finitedifference approximation parameter estimation |
| title | Parameter estimation in a structured erythropoiesis model |
| title_full | Parameter estimation in a structured erythropoiesis model |
| title_fullStr | Parameter estimation in a structured erythropoiesis model |
| title_full_unstemmed | Parameter estimation in a structured erythropoiesis model |
| title_short | Parameter estimation in a structured erythropoiesis model |
| title_sort | parameter estimation in a structured erythropoiesis model |
| topic | erythropoiesis structured model finitedifference approximation parameter estimation |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.601 |
| work_keys_str_mv | AT azmysackleh parameterestimationinastructurederythropoiesismodel AT jeremyjthibodeaux parameterestimationinastructurederythropoiesismodel |