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Fig. 4 | BMC Systems Biology

Fig. 4

From: Genetic toggle switch controlled by bacterial growth rate

Fig. 4

Parameter sensitivity analysis. Each of the model parameters was separately increased or decreased two-fold and the effect of these modifications on four model metrics was analyzed in (a) to (d). r g was increased and decreased from the value of 0.002. a The toggle switching time was calculated for T=40 min, when the two state-to-state MFPT are equal. b The ratio of doubling times limiting the bistability range in the deterministic approximation (see “Methods” section, “Deterministic approximation” subsection). c Toggle sensitivity to the change of doubling time defined as the average protein ratio ((P 1+2D 1)/(P 2+2D 2)) for T=30 min divided by the average protein ratio for T=60 min. d Response time defined as the characteristic time needed to reach new asymptotic value of \(\log _{2}((P_{1}+2D_{1})/(P_{2}+2D_{2}))\) after change of the doubling time. Response times shown in (d) and (f) are geometric averages of response times for change of doubling time from T=40 min (for which \(\log _{2}((P_{1}+2D_{1})/(P_{2}+2D_{2}))=0\)) to T=30 and T=60 min. e Correlation between the switching time and the toggle sensitivity. f Correlation between the switching time and the response time

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