Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics
We consider a generic stochastic model of ion transport through a single channel with arbitrary internal structure and kinetic rates of transitions between internal states. This model is also applicable to describe kinetics of a class of enzymes in which turnover events correspond to conversion of s...
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| Format: | Article |
| Language: | en_US |
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American Chemical Society (ACS)
2014
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| Online Access: | http://hdl.handle.net/1721.1/84090 https://orcid.org/0000-0001-7616-7809 |
| _version_ | 1826215018108026880 |
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| author | Chaudhury, Srabanti Cao, Jianshu Sinitsyn, Nikolai A. |
| author2 | Massachusetts Institute of Technology. Department of Chemistry |
| author_facet | Massachusetts Institute of Technology. Department of Chemistry Chaudhury, Srabanti Cao, Jianshu Sinitsyn, Nikolai A. |
| author_sort | Chaudhury, Srabanti |
| collection | MIT |
| description | We consider a generic stochastic model of ion transport through a single channel with arbitrary internal structure and kinetic rates of transitions between internal states. This model is also applicable to describe kinetics of a class of enzymes in which turnover events correspond to conversion of substrate into product by a single enzyme molecule. We show that measurement of statistics of single molecule transition time through the channel contains only restricted information about internal structure of the channel. In particular, the most accessible flux fluctuation characteristics, such as the Poisson indicator (P) and the Fano factor (F) as function of solute concentration, depend only on three parameters in addition to the parameters of the Michaelis–Menten curve that characterizes average current through the channel. Nevertheless, measurement of Poisson indicator or Fano factor for such renewal processes can discriminate reactions with multiple intermediate steps as well as provide valuable information about the internal kinetic rates. |
| first_indexed | 2024-09-23T16:15:12Z |
| format | Article |
| id | mit-1721.1/84090 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:15:12Z |
| publishDate | 2014 |
| publisher | American Chemical Society (ACS) |
| record_format | dspace |
| spelling | mit-1721.1/840902022-09-29T19:08:21Z Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics Chaudhury, Srabanti Cao, Jianshu Sinitsyn, Nikolai A. Massachusetts Institute of Technology. Department of Chemistry Cao, Jianshu Cao, Jianshu We consider a generic stochastic model of ion transport through a single channel with arbitrary internal structure and kinetic rates of transitions between internal states. This model is also applicable to describe kinetics of a class of enzymes in which turnover events correspond to conversion of substrate into product by a single enzyme molecule. We show that measurement of statistics of single molecule transition time through the channel contains only restricted information about internal structure of the channel. In particular, the most accessible flux fluctuation characteristics, such as the Poisson indicator (P) and the Fano factor (F) as function of solute concentration, depend only on three parameters in addition to the parameters of the Michaelis–Menten curve that characterizes average current through the channel. Nevertheless, measurement of Poisson indicator or Fano factor for such renewal processes can discriminate reactions with multiple intermediate steps as well as provide valuable information about the internal kinetic rates. National Center for Research Resources (U.S.) (Grant P20-RR018754) United States. National Nuclear Security Administration (Los Alamos National Laboratory Contract DE AC52-06NA25396) National Science Foundation (U.S.) (Grant ECCS-0925365) United States. Army Research Office (W911NF-091-04880) Singapore-MIT Alliance for Research and Technology Center. Infectious Disease Research Group 2014-01-21T14:17:02Z 2014-01-21T14:17:02Z 2012-12 2012-11 Article http://purl.org/eprint/type/JournalArticle 1520-6106 1520-5207 http://hdl.handle.net/1721.1/84090 Chaudhury, Srabanti, Jianshu Cao, and Nikolai A. Sinitsyn. “Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics.” The Journal of Physical Chemistry B 117, no. 2 (January 17, 2013): 503-509. https://orcid.org/0000-0001-7616-7809 en_US http://dx.doi.org/10.1021/jp3096659 The Journal of Physical Chemistry B 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 Chemical Society (ACS) Prof. Schrock via Erja Kajosalo |
| spellingShingle | Chaudhury, Srabanti Cao, Jianshu Sinitsyn, Nikolai A. Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title | Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title_full | Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title_fullStr | Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title_full_unstemmed | Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title_short | Universality of Poisson Indicator and Fano Factor of Transport Event Statistics in Ion Channels and Enzyme Kinetics |
| title_sort | universality of poisson indicator and fano factor of transport event statistics in ion channels and enzyme kinetics |
| url | http://hdl.handle.net/1721.1/84090 https://orcid.org/0000-0001-7616-7809 |
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