Mathematical model for positive feedback and temperature induced signal transduction and differential gene regulation in {\it Bordetella pertussis}}

Biology – Quantitative Biology – Molecular Networks

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10 pages, 6 figures, 2 tables

Scientific paper

Based on the phosphorelay kinetics operative within BvgAS two component system we propose a mathematical model for signal transduction and differential gene regulation in {\it Bordetella pertussis}. To understand the system behavior under elevated temperature, the developed model has been studied in two different ways. First, a quasi-steady state analysis has been carried out for the two component system, comprising of sensor BvgS and response regulator BvgA. The quasi-steady state analysis reveals a positive feedback and temperature induced molecular switch, leading to graded response and amplification in the output of BvgA. Accumulation of large pool of BvgA thus results into differential regulation of the downstream genes, including the gene encoding toxin. Furthermore, numerical integration of the full network kinetics has been carried out to explore time dependent behavior of different system components, that qualitatively capture the essential features of experimental results performed {\it in vivo}.

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