Math. Model. Nat. Phenom.
Volume 7, Number 5, 2012Immunology
|Page(s)||24 - 52|
|Published online||17 October 2012|
Mathematical Models of Dividing Cell Populations: Application to CFSE Data
1 Center for Research in Scientific
Computation Center for Quantitative Sciences in Biomedicine, N.C. State University
2 ICREA Infection Biology Lab Department of Experimental and Health Sciences Universitat Pompeu Fabra, Barcelona
⋆ Corresponding author. E-mail: email@example.com
Flow cytometric analysis using intracellular dyes such as CFSE is a powerful experimental tool which can be used in conjunction with mathematical modeling to quantify the dynamic behavior of a population of lymphocytes. In this survey we begin by providing an overview of the mathematically relevant aspects of the data collection procedure. We then present an overview of the large body of mathematical models, along with their assumptions and uses, which have been proposed to describe the dynamics of proliferating cell populations. While much of this body of work has been aimed at modeling the generation structure (cells per generation) of the proliferating population, several recent models have considered the more fundamental task of modeling CFSE histogram data directly. Such models are analyzed and recent results are discussed. Finally, directions for future research are suggested.
Mathematics Subject Classification: 00A71 / 34A55 / 92-02 / 92C37 / 92C99 / 97M60
Key words: cell proliferation / cell division number / CFSE / ordinary differential equations / cytons / label structured population dynamics / partial differential equations / inverse problems
© EDP Sciences, 2012
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