Modeling and optimal regulation of erythropoiesis subject to benzene intoxication
Benzene (C6H6) is a highly flammable, colorless liquid. Ubiquitous exposures result from its presence in gasoline vapors, cigarette smoke, andindustrial processes. Benzene increases the incidence of leukemia in humanswhen they are exposed to high doses for extended periods; however, leukemiarisks in...
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AIMS Press
2004-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.15 |
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| author | H. T. Banks Cammey E. Cole Paul M. Schlosser Hien T. Tran |
| author_facet | H. T. Banks Cammey E. Cole Paul M. Schlosser Hien T. Tran |
| author_sort | H. T. Banks |
| collection | DOAJ |
| description | Benzene (C6H6) is a highly flammable, colorless liquid. Ubiquitous exposures result from its presence in gasoline vapors, cigarette smoke, andindustrial processes. Benzene increases the incidence of leukemia in humanswhen they are exposed to high doses for extended periods; however, leukemiarisks in humans subjected to low exposures are uncertain. The exposure-dose-response relationship of benzene in humans is expected to be nonlinear becausebenzene undergoes a series of metabolic transformations, detoxifying and activating, resulting in various metabolites that exert toxic effects on the bonemarrow.   Since benzene is a known human leukemogen, the toxicity of benzene in thebone marrow is of most importance. And because blood cells are producedin the bone marrow, we investigated the effects of benzene on hematopoiesis(blood cell production and development). An age-structured model was usedto examine the process of erythropoiesis, the development of red blood cells.This investigation proved the existence and uniqueness of the solution of thesystem of coupled partial and ordinary differential equations. In addition, weformulated an optimal control problem for the control of erythropoiesis andperformed numerical simulations to compare the performance of the optimalfeedback law and another feedback function based on the Hill function. |
| format | Article |
| id | doaj-art-9fca71e0f08d406abe586945479c0ae3 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9fca71e0f08d406abe586945479c0ae32025-01-24T01:46:28ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-02-0111154810.3934/mbe.2004.1.15Modeling and optimal regulation of erythropoiesis subject to benzene intoxicationH. T. Banks0Cammey E. Cole1Paul M. Schlosser2Hien T. Tran3Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212Department of Mathematics and Computer Science, Meredith College, Raleigh, NC 27607CIIT Centers for Health Research, Research Triangle Park, NC 27709Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695Benzene (C6H6) is a highly flammable, colorless liquid. Ubiquitous exposures result from its presence in gasoline vapors, cigarette smoke, andindustrial processes. Benzene increases the incidence of leukemia in humanswhen they are exposed to high doses for extended periods; however, leukemiarisks in humans subjected to low exposures are uncertain. The exposure-dose-response relationship of benzene in humans is expected to be nonlinear becausebenzene undergoes a series of metabolic transformations, detoxifying and activating, resulting in various metabolites that exert toxic effects on the bonemarrow.   Since benzene is a known human leukemogen, the toxicity of benzene in thebone marrow is of most importance. And because blood cells are producedin the bone marrow, we investigated the effects of benzene on hematopoiesis(blood cell production and development). An age-structured model was usedto examine the process of erythropoiesis, the development of red blood cells.This investigation proved the existence and uniqueness of the solution of thesystem of coupled partial and ordinary differential equations. In addition, weformulated an optimal control problem for the control of erythropoiesis andperformed numerical simulations to compare the performance of the optimalfeedback law and another feedback function based on the Hill function.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.15optimal control.hematopoiesisexistence and uniquenessage-structured model |
| spellingShingle | H. T. Banks Cammey E. Cole Paul M. Schlosser Hien T. Tran Modeling and optimal regulation of erythropoiesis subject to benzene intoxication Mathematical Biosciences and Engineering optimal control. hematopoiesis existence and uniqueness age-structured model |
| title | Modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| title_full | Modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| title_fullStr | Modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| title_full_unstemmed | Modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| title_short | Modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| title_sort | modeling and optimal regulation of erythropoiesis subject to benzene intoxication |
| topic | optimal control. hematopoiesis existence and uniqueness age-structured model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.15 |
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