Mathematical Models of Dividing Cell Populations: Application to CFSE Data

H.T. Banks; W. Clayton Thompson

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 5, page 24-52
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Banks, H.T., and Clayton Thompson, W.. "Mathematical Models of Dividing Cell Populations: Application to CFSE Data." Mathematical Modelling of Natural Phenomena 7.5 (2012): 24-52. <http://eudml.org/doc/222192>.

@article{Banks2012,
abstract = {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.},
author = {Banks, H.T., Clayton Thompson, W.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {cell proliferation; cell division number; CFSE; ordinary differential equations; cytons; label structured population dynamics; partial differential equations; inverse problems},
language = {eng},
month = {10},
number = {5},
pages = {24-52},
publisher = {EDP Sciences},
title = {Mathematical Models of Dividing Cell Populations: Application to CFSE Data},
url = {http://eudml.org/doc/222192},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Banks, H.T.
AU - Clayton Thompson, W.
TI - Mathematical Models of Dividing Cell Populations: Application to CFSE Data
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/10//
PB - EDP Sciences
VL - 7
IS - 5
SP - 24
EP - 52
AB - 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.
LA - eng
KW - cell proliferation; cell division number; CFSE; ordinary differential equations; cytons; label structured population dynamics; partial differential equations; inverse problems
UR - http://eudml.org/doc/222192
ER -

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