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 |