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Mathematical Models of Dividing Cell Populations: Applicationto CFSE Data

Published online by Cambridge University Press:  17 October 2012

H.T. Banks  and
W. Clayton Thompson
H.T. Banks*
Affiliation:
Center for Research in Scientific Computation Center for Quantitative Sciences in Biomedicine, N.C. State University Raleigh, NC
W. Clayton Thompson
Affiliation:
Center for Research in Scientific Computation Center for Quantitative Sciences in Biomedicine, N.C. State University Raleigh, NC ICREA Infection Biology Lab Department of Experimental and Health Sciences Universitat Pompeu Fabra, Barcelona
*
⋆ Corresponding author. E-mail: htbanks@ncsu.edu
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Abstract

Flow cytometric analysis using intracellular dyes such as CFSE is a powerful experimentaltool which can be used in conjunction with mathematical modeling to quantify the dynamicbehavior of a population of lymphocytes. In this survey we begin by providing an overviewof the mathematically relevant aspects of the data collection procedure. We then presentan overview of the large body of mathematical models, along with their assumptions anduses, 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 (cellsper generation) of the proliferating population, several recent models have considered themore fundamental task of modeling CFSE histogram data directly. Such models are analyzedand recent results are discussed. Finally, directions for future research aresuggested.

Keywords

cell proliferationcell division numberCFSEordinary differential equationscytonslabel structured population dynamicspartial differential equationsinverse problems

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Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 7 , Issue 5: Immunology , 2012 , pp. 24 - 52
Copyright
© EDP Sciences, 2012

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