Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients
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 me...
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| Format: | Article |
| Language: | en_US |
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American Institute of Physics (AIP)
2017
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| Online Access: | http://hdl.handle.net/1721.1/110439 https://orcid.org/0000-0003-4878-2366 https://orcid.org/0000-0001-6259-8800 https://orcid.org/0000-0001-7616-7809 |
| _version_ | 1826205092874813440 |
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| author | Chen, Hang Thill, Peter Daniel Cao, Jianshu |
| author2 | Massachusetts Institute of Technology. Department of Chemistry |
| author_facet | Massachusetts Institute of Technology. Department of Chemistry Chen, Hang Thill, Peter Daniel Cao, Jianshu |
| author_sort | Chen, Hang |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T13:06:56Z |
| format | Article |
| id | mit-1721.1/110439 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:06:56Z |
| publishDate | 2017 |
| publisher | American Institute of Physics (AIP) |
| record_format | dspace |
| spelling | mit-1721.1/1104392022-10-01T13:09:40Z Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients Chen, Hang Thill, Peter Daniel Cao, Jianshu Massachusetts Institute of Technology. Department of Chemistry Chen, Hang Thill, Peter Daniel Cao, Jianshu 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. National Institutes of Health (U.S.) (Grant P01-AI09158) Singapore-MIT Alliance for Research and Technology (SMART) 2017-07-05T13:35:23Z 2017-07-05T13:35:23Z 2016-05 2016-01 Article http://purl.org/eprint/type/JournalArticle 0021-9606 1089-7690 http://hdl.handle.net/1721.1/110439 Chen, Hang, Peter Thill, and Jianshu Cao. “Transitions in Genetic Toggle Switches Driven by Dynamic Disorder in Rate Coefficients.” The Journal of Chemical Physics 144.17 (2016): 175104. © 2017 AIP Publishing LLC https://orcid.org/0000-0003-4878-2366 https://orcid.org/0000-0001-6259-8800 https://orcid.org/0000-0001-7616-7809 en_US http://dx.doi.org/10.1063/1.4948461 The Journal of Chemical Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Physics (AIP) MIT web domain |
| spellingShingle | Chen, Hang Thill, Peter Daniel Cao, Jianshu Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title | Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title_full | Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title_fullStr | Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title_full_unstemmed | Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title_short | Transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| title_sort | transitions in genetic toggle switches driven by dynamic disorder in rate coefficients |
| url | http://hdl.handle.net/1721.1/110439 https://orcid.org/0000-0003-4878-2366 https://orcid.org/0000-0001-6259-8800 https://orcid.org/0000-0001-7616-7809 |
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