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First-passage times of multiple diffusing particles with reversible target-binding kinetics

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dc.contributor.author Grebenkov, Denis S. en_US
dc.contributor.author KUMAR, AANJANEYA en_US
dc.date.accessioned 2022-07-29T09:06:04Z
dc.date.available 2022-07-29T09:06:04Z
dc.date.issued 2022-08 en_US
dc.identifier.citation Journal of Physics A: Mathematical and Theoretical, 55(32), 325002. en_US
dc.identifier.issn 1751-8113 en_US
dc.identifier.issn 1751-8121 en_US
dc.identifier.uri https://doi.org/10.1088/1751-8121/ac7e91 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7280
dc.description.abstract We investigate a class of diffusion-controlled reactions that are initiated at the time instance when a prescribed number K among N particles independently diffusing in a solvent are simultaneously bound to a target region. In the irreversible target-binding setting, the particles that bind to the target stay there forever, and the reaction time is the Kth fastest first-passage time to the target, whose distribution is well-known. In turn, reversible binding, which is common for most applications, renders theoretical analysis much more challenging and drastically changes the distribution of reaction times. We develop a renewal-based approach to derive an approximate solution for the probability density of the reaction time. This approximation turns out to be remarkably accurate for a broad range of parameters. We also analyze the dependence of the mean reaction time or, equivalently, the inverse reaction rate, on the main parameters such as K, N, and binding/unbinding constants. Some biophysical applications and further perspectives are briefly discussed. en_US
dc.language.iso en en_US
dc.publisher IOP Publishing en_US
dc.subject First-passage time en_US
dc.subject Diffusion-controlled reactions en_US
dc.subject Reversible binding en_US
dc.subject Extreme statistics en_US
dc.subject 2022-JUL-WEEK4 en_US
dc.subject TOC-JUL-2022 en_US
dc.subject 2022 en_US
dc.title First-passage times of multiple diffusing particles with reversible target-binding kinetics en_US
dc.type Article en_US
dc.contributor.department Dept. of Physics en_US
dc.identifier.sourcetitle Journal of Physics A: Mathematical and Theoretical en_US
dc.publication.originofpublisher Foreign en_US


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