Dynamic disorder and the energetic costs of information transduction

Thill, Peter

doi:10.1063/1.4885725

Cited by 1 publication

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References 30 publications

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“…This can be shown in more mathematically precise language using renewal theory. 24 Therefore, as we increase the switching rate λ, the mean first passage time for transition from high A to low A decreases (Figure 7).…”

Section: A Discrete Jumpsmentioning

confidence: 99%

Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients

Hang

Thill

Cao

2016

The Journal of Chemical Physics

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In biochemical systems, intrinsic noise may drive the system switch from one stable state to another. We investigate how kinetic switching between stable states in a bistable network is influenced by dynamic disorder, i.e., fluctuations in the rate coefficients. Using the geometric minimum action method, we first investigate the optimal transition paths and the corresponding minimum actions based on a genetic toggle switch model in which reaction coefficients draw from a discrete probability distribution. For the continuous probability distribution of the rate coefficient, we then consider two models of dynamic disorder in which reaction coefficients undergo different stochastic processes with the same stationary distribution. In one, the kinetic parameters follow a discrete Markov process and in the other they follow continuous Langevin dynamics. We find that regulation of the parameters modulating the dynamic disorder, as has been demonstrated to occur through allosteric control in bistable networks in the immune system, can be crucial in shaping the statistics of optimal transition paths, transition probabilities, and the stationary probability distribution of the network. Published by AIP Publishing. [http://dx

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Section: A Discrete Jumpsmentioning

confidence: 99%