Abstract
A recently developed class of models incorporating the cyton model of population generation structure into a conservation-based model of intracellular label dynamics is reviewed. Statistical aspects of the data collection process are quantified and incorporated into a parameter estimation scheme. This scheme is then applied to experimental data for PHA-stimulated CD4+T and CD8+T cells collected from two healthy donors. This novel mathematical and statistical framework is shown to form the basis for accurate, meaningful analysis of cellular behaviour for a population of cells labelled with the dye carboxyfluorescein succinimidyl ester and stimulated to divide.
Highlights
Dating at least as far back as the work of Bell and Anderson [14] in 1967, mathematical models have been proposed which attempt to describe the biophysical processes involved in cell division
We summarize a new class of models incorporating cyton dynamics into a labelstructured framework and consider several different versions of the cyton model at greater length
To this point we have considered a class of models based on the cyton modeling framework which describe the dynamic population generation structure for dividing cells
Summary
Dating at least as far back as the work of Bell and Anderson [14] in 1967, mathematical models have been proposed which attempt to describe the biophysical processes involved in cell division. An alternative to the mathematical model (3.3) is the cyton model for division dynamics [28, 29] which relates the number of cells in a population directly to probability distributions describing times at which cells divide or die. (It is assumed that in each generation, non-progressing cells may die according to the probability density function ψi (t), but may not divide.) under the assumptions of the cyton model, it follows that
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