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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: Proceedings Foundations of Systems Biology and Engineering (FOSBE 2009). FOSBE - Foundations of Systems Biology in Engineering 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 sources of heterogeneity. However, a holistic approach that integrates all the major sources into a generic framework applicable to cell populations is still lacking. We present here the mathematical formulation of a Master Equation for a cell population that considers the major sources of heterogeneity, namely stochasticity in reaction, division, and DNA duplication. The formulation also considers cell growth and accounts for the discrete nature of the molecular contents. We further develop a Monte Carlo algorithm for the simulation of the stochastic processes considered here. Using this approach, we finally demonstrate the effect of each source of heterogeneity on the overall phenotypic variability for the two-promoter system used by Elowitz et al. (2002) to experimentally quantify intrinsic versus extrinsic noise.

Type: Proceedings paper
Title: A Mathematical and Computational Approach for Integrating the Major Sources of Cell Population Heterogeneity
Event: FOSBE 2009: The 3rd Third International Conference on Foundations of Systems Biology in Engineering
Location: Denver, CO, USA
Open access status: An open access version is available from UCL Discovery
Publisher version: http://fosbe.org/
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Stochastic, intrinsic noise, extrinsic noise, heterogeneity, cell division, DNA duplication.
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-pp.ucl.ac.uk/id/eprint/10133579
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