TY  - JOUR
A1  - Grebenkov, Denis S.
A1  - Kumar, Aanjaneya
T1  - First-passage times of multiple diffusing particles with reversible target-binding kinetics
T2  - Journal of physics : A, Mathematical and theoretical
N2  - 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.
KW  - first-passage time
KW  - diffusion-controlled reactions
KW  - reversible binding
KW  - extreme statistics
Y1  - 2022
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/63809
SN  - 1751-8113
SN  - 1751-8121
VL  - 55
IS  - 32
PB  - IOP Publ.
CY  - Bristol
ER  -