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Fig. 5 | BMC Systems Biology

Fig. 5

From: Logical-continuous modelling of post-translationally regulated bistability of curli fiber expression in Escherichia coli

Fig. 5

Classification of identified parameter sets according to their mean switching times and switching probabilities between the two stable states. a. Each of the feasible parameter sets is plotted according to the switching probability between the two stable states, given a maximal simulation time of 100 seconds. The parameter sets are classified into 4 regions which are divided by lines indicating a probability \(\mathcal {P}=0.5\) of a switch in either direction. The colours represent the probabilities of switching in both directions, ranging from blue to yellow (low and high probability of switching in either direction, respectively). The red boxes in the lower left and upper right corners indicate parameter regions inducing a low probability (\(\mathcal {P} \leq 0.1\)) and high probability (\(\mathcal {P} \geq 0.9\)) of switching in either direction, respectively. b. Cumulative distribution of the switching times over all feasible parameter sets. For each of the 608 identified parameter sets 103 SSA simulations were performed by starting the system in the stable state either corresponding to the curli-off or curli-on state i.e. low/high amount of c-di-GMP, high/low amount of YciR in the YdaM/MlrA-inhibition state and low/high amount of active YdaM molecules, respectively. Each simulation was stopped if a switch to the opposite stable state was observed or if the maximal simulation time of 100 seconds was reached (see Eq. (4) for the definition of a switch). The mean switching time was computed over those trajectories that exhibited a switch for a given parameter set

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