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A Mathematical and Computational Approach for Integrating the Major Sources of Cell Population Heterogeneity

Stamatakis, M; Zygourakis, K; (2009) A Mathematical and Computational Approach for Integrating the Major Sources of Cell Population Heterogeneity. In: Biophysical Journal. Green open access

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Abstract

Several approaches have been used in the past to model heterogeneity in bacterial cell populations, with each approach focusing on different source(s) of heterogeneity. However, a holistic approach that integrates all the major sources into a generic framework applicable to cell populations is still lacking. In this work we present the mathematical formulation of a Master equation that pertains to a single cell and takes into account the major sources of heterogeneity, namely stochasticity in reaction, division, and DNA duplication. The formulation also takes into account cell growth and respects the discrete nature of the molecular contents. We further extend the framework to cell populations and develop Monte Carlo algorithms for the simulation of the stochastic processes considered here. Using this approach we demonstrate the effect of each source of heterogeneity on the overall phenotypic variability for the two-promoter system used experimentally by Elowitz et al. (2002) to quantify intrinsic versus extrinsic noise. Elowitz, M. B., A. J. Levine, E. D. Siggia and P. S. Swain (2002). “Stochastic gene expression in a single cell.” Science297 (5584): 1183-1186.

Type: Proceedings paper
Title: A Mathematical and Computational Approach for Integrating the Major Sources of Cell Population Heterogeneity
Event: Biophysical Society: 53rd Annual Meeting
Location: Boston, MA, USA
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.bpj.2008.12.1530
Publisher version: https://doi.org/10.1016/j.bpj.2008.12.1530
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10133577
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