Dynamics of molecular motors in reversible burnt-bridge models

Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random walkers that can destroy or rebuild periodically di...

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Видавець:Інститут фізики конденсованих систем НАН України
Дата:2010
Автори: Artyomov, M.N., Morozov, A.Yu., Kolomeisky, A.B.
Формат: Стаття
Мова:English
Опубліковано: Інститут фізики конденсованих систем НАН України 2010
Назва видання:Condensed Matter Physics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/32101
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Цитувати:Dynamics of molecular motors in reversible burnt-bridge models / M.N. Artyomov, A.Yu. Morozov, A.B. Kolomeisky // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23801: 1-18. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-32101
record_format dspace
spelling irk-123456789-321012012-04-09T12:19:33Z Dynamics of molecular motors in reversible burnt-bridge models Artyomov, M.N. Morozov, A.Yu. Kolomeisky, A.B. Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random walkers that can destroy or rebuild periodically distributed weak connections ("bridges") when crossing them, with probabilities p1 and p2 correspondingly. Dynamic properties, such as velocities and dispersions, are obtained in exact and explicit form for arbitrary values of parameters p1 and p2. For the unbiased random walker, reversible burning of the bridges results in a biased directed motion with a dynamic transition observed at very small concentrations of bridges. In the case of backward biased molecular motor its backward velocity is reduced and a reversal of the direction of motion is observed for some range of parameters. It is also found that the dispersion demonstrates a complex, non-monotonic behavior with large fluctuations for some set of parameters. Complex dynamics of the system is discussed by analyzing the behavior of the molecular motors near burned bridges. 2010 Article Dynamics of molecular motors in reversible burnt-bridge models / M.N. Artyomov, A.Yu. Morozov, A.B. Kolomeisky // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23801: 1-18. — Бібліогр.: 10 назв. — англ. 1607-324X PACS: 87.16.Ac http://dspace.nbuv.gov.ua/handle/123456789/32101 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random walkers that can destroy or rebuild periodically distributed weak connections ("bridges") when crossing them, with probabilities p1 and p2 correspondingly. Dynamic properties, such as velocities and dispersions, are obtained in exact and explicit form for arbitrary values of parameters p1 and p2. For the unbiased random walker, reversible burning of the bridges results in a biased directed motion with a dynamic transition observed at very small concentrations of bridges. In the case of backward biased molecular motor its backward velocity is reduced and a reversal of the direction of motion is observed for some range of parameters. It is also found that the dispersion demonstrates a complex, non-monotonic behavior with large fluctuations for some set of parameters. Complex dynamics of the system is discussed by analyzing the behavior of the molecular motors near burned bridges.
format Article
author Artyomov, M.N.
Morozov, A.Yu.
Kolomeisky, A.B.
spellingShingle Artyomov, M.N.
Morozov, A.Yu.
Kolomeisky, A.B.
Dynamics of molecular motors in reversible burnt-bridge models
Condensed Matter Physics
author_facet Artyomov, M.N.
Morozov, A.Yu.
Kolomeisky, A.B.
author_sort Artyomov, M.N.
title Dynamics of molecular motors in reversible burnt-bridge models
title_short Dynamics of molecular motors in reversible burnt-bridge models
title_full Dynamics of molecular motors in reversible burnt-bridge models
title_fullStr Dynamics of molecular motors in reversible burnt-bridge models
title_full_unstemmed Dynamics of molecular motors in reversible burnt-bridge models
title_sort dynamics of molecular motors in reversible burnt-bridge models
publisher Інститут фізики конденсованих систем НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/32101
citation_txt Dynamics of molecular motors in reversible burnt-bridge models / M.N. Artyomov, A.Yu. Morozov, A.B. Kolomeisky // Condensed Matter Physics. — 2010. — Т. 13, № 2. — С. 23801: 1-18. — Бібліогр.: 10 назв. — англ.
series Condensed Matter Physics
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AT morozovayu dynamicsofmolecularmotorsinreversibleburntbridgemodels
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first_indexed 2023-10-18T17:33:59Z
last_indexed 2023-10-18T17:33:59Z
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