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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2022

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

Résumé

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 K-th 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.
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Dates et versions

hal-03805590 , version 1 (07-10-2022)

Identifiants

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Denis S Grebenkov, Aanjaneya Kumar. First-passage times of multiple diffusing particles with reversible target-binding kinetics. Journal of Physics A: Mathematical and Theoretical, 2022, 55 (32), pp.325002. ⟨10.1088/1751-8121/ac7e91⟩. ⟨hal-03805590⟩
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