Summary
The chemical master equation in combination with chemical rate equations is used as a tool to study Markovian models of genetic regulatory networks in prokaryotes. States of the master equation represent the binding and unbinding of protein complexes to DNA, resulting in a gene being expressed or not expressed in a cell, while protein and substrate concentrations are represented by continuum variables which evolve via differential equations.
The model is applied to a moderately complex biological system, the switching mechanism of the Bacteriophage driven by competition between production of CI and Cro proteins. Numerical simulations of the model successfully move between lysogenic and lytic states as the host bacterium is stressed by the application of ultraviolet light.
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Booth, H.S., Burden, C.J., Hegland, M., Santoso, L. (2007). A Stochastic Model of Gene Regulation Using the Chemical Master Equation. In: Deutsch, A., Brusch, L., Byrne, H., Vries, G.d., Herzel, H. (eds) Mathematical Modeling of Biological Systems, Volume I. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4558-8_7
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DOI: https://doi.org/10.1007/978-0-8176-4558-8_7
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