A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis
T-lymphocyte (T-cell) development constitutes one of the basic andmost vital processes in immunology. The process is profoundlyaffected by the thymic microenvironment, the dysregulation of whichmay be the pathogenesis or the etiology of some diseases. On thebasis of a general conceptual framework, w...
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AIMS Press
2004-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.289 |
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| author | Guanyu Wang Gerhard R. F. Krueger |
| author_facet | Guanyu Wang Gerhard R. F. Krueger |
| author_sort | Guanyu Wang |
| collection | DOAJ |
| description | T-lymphocyte (T-cell) development constitutes one of the basic andmost vital processes in immunology. The process is profoundlyaffected by the thymic microenvironment, the dysregulation of whichmay be the pathogenesis or the etiology of some diseases. On thebasis of a general conceptual framework, we have designed the firstbiophysical model to describe thymocyte development. Themicroclimate within the thymus, which is shaped by variouscytokines, is first conceptualized into a growth field$\lambda$ and a differentiation field$\mu$, under the influence of which the thymocytesmature. A partial differential equation is then derived through theanalysis of an infinitesimal element of the flow of thymocytes. Ageneral method is presented to estimate the two fields based onexperimental data obtained by flow cytometric analysis of thethymus. Numerical examples are given for both normal and pathologicconditions. Our results are quite good, and even the time varyingfields can be accurately estimated. Our method has demonstrated itsgreat potential for the study of immunopathogenesis. The plan forimplementation of the method is addressed. |
| format | Article |
| id | doaj-art-1c061b1104ee426cad0733f8f75ac812 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2004-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-1c061b1104ee426cad0733f8f75ac8122025-01-24T01:46:53ZengAIMS PressMathematical Biosciences and Engineering1551-00182004-06-011228930510.3934/mbe.2004.1.289A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and ImmunopathogenesisGuanyu Wang0Gerhard R. F. Krueger1Department of Pathology and laboratory Medicine, The University of Texas Medical School at Houston, Houston, TX 77030Department of Pathology and laboratory Medicine, The University of Texas Medical School at Houston, Houston, TX 77030T-lymphocyte (T-cell) development constitutes one of the basic andmost vital processes in immunology. The process is profoundlyaffected by the thymic microenvironment, the dysregulation of whichmay be the pathogenesis or the etiology of some diseases. On thebasis of a general conceptual framework, we have designed the firstbiophysical model to describe thymocyte development. Themicroclimate within the thymus, which is shaped by variouscytokines, is first conceptualized into a growth field$\lambda$ and a differentiation field$\mu$, under the influence of which the thymocytesmature. A partial differential equation is then derived through theanalysis of an infinitesimal element of the flow of thymocytes. Ageneral method is presented to estimate the two fields based onexperimental data obtained by flow cytometric analysis of thethymus. Numerical examples are given for both normal and pathologicconditions. Our results are quite good, and even the time varyingfields can be accurately estimated. Our method has demonstrated itsgreat potential for the study of immunopathogenesis. The plan forimplementation of the method is addressed.https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.289partial differential equations.immunopathogenesist-cell immunologythymocyte developmentmathematical modeling |
| spellingShingle | Guanyu Wang Gerhard R. F. Krueger A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis Mathematical Biosciences and Engineering partial differential equations. immunopathogenesis t-cell immunology thymocyte development mathematical modeling |
| title | A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis |
| title_full | A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis |
| title_fullStr | A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis |
| title_full_unstemmed | A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis |
| title_short | A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis |
| title_sort | general mathematical method for investigating the thymic microenvironment thymocyte development and immunopathogenesis |
| topic | partial differential equations. immunopathogenesis t-cell immunology thymocyte development mathematical modeling |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2004.1.289 |
| work_keys_str_mv | AT guanyuwang ageneralmathematicalmethodforinvestigatingthethymicmicroenvironmentthymocytedevelopmentandimmunopathogenesis AT gerhardrfkrueger ageneralmathematicalmethodforinvestigatingthethymicmicroenvironmentthymocytedevelopmentandimmunopathogenesis AT guanyuwang generalmathematicalmethodforinvestigatingthethymicmicroenvironmentthymocytedevelopmentandimmunopathogenesis AT gerhardrfkrueger generalmathematicalmethodforinvestigatingthethymicmicroenvironmentthymocytedevelopmentandimmunopathogenesis |