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A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis

1. Department of Pathology and laboratory Medicine, The University of Texas Medical School at Houston, Houston, TX 77030

T-lymphocyte (T-cell) development constitutes one of the basic and most vital processes in immunology. The process is profoundly affected by the thymic microenvironment, the dysregulation of which may be the pathogenesis or the etiology of some diseases. On the basis of a general conceptual framework, we have designed the first biophysical model to describe thymocyte development. The microclimate within the thymus, which is shaped by various cytokines, is first conceptualized into a growth field $\lambda$ and a differentiation field $\mu$, under the influence of which the thymocytes mature. A partial differential equation is then derived through the analysis of an infinitesimal element of the flow of thymocytes. A general method is presented to estimate the two fields based on experimental data obtained by flow cytometric analysis of the thymus. Numerical examples are given for both normal and pathologic conditions. Our results are quite good, and even the time varying fields can be accurately estimated. Our method has demonstrated its great potential for the study of immunopathogenesis. The plan for implementation of the method is addressed.
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Keywords partial differential equations.; immunopathogenesis; T-cell immunology; thymocyte development; mathematical modeling

Citation: Guanyu Wang, Gerhard R. F. Krueger. A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis. Mathematical Biosciences and Engineering, 2004, 1(2): 289-305. doi: 10.3934/mbe.2004.1.289

 

This article has been cited by

  • 1. Anna Q. Cai, Kerry A. Landman, Barry D. Hughes, Colleen M. Witt, T cell development in the thymus: From periodic seeding to constant output, Journal of Theoretical Biology, 2007, 249, 2, 384, 10.1016/j.jtbi.2007.07.028
  • 2. Guanyu Wang, Estimation of the proliferation and maturation functions in a physiologically structured model of thymocyte development, Journal of Mathematical Biology, 2007, 54, 6, 761, 10.1007/s00285-006-0068-0

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Copyright Info: 2004, Guanyu Wang, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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