# 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

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topBanks, 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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