Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS-Ecole Polytechnique, University Paris-Saclay, 91128 Palaiseau, France and Interdisciplinary Scientific Center Poncelet (ISCP) (UMI 2615 CNRS/IUM/IITP RAS/Steklov MI RAS/Skoltech/HSE), Bolshoy Vlasyevskiy Pereulok 11, 119002 Moscow, Russia.
J Chem Phys. 2017 Oct 7;147(13):134112. doi: 10.1063/1.4996395.
We investigate the first passage problem for multiple particles that diffuse towards a target, partially adsorb there, and then desorb after a finite exponentially distributed residence time. We search for the first time when m particles undergoing such reversible target-binding kinetics are found simultaneously on the target that may trigger an irreversible chemical reaction or a biophysical event. Even if the particles are independent, the finite residence time on the target yields an intricate temporal coupling between particles. We compute analytically the mean first passage time (MFPT) for two independent particles by mapping the original problem to higher-dimensional surface-mediated diffusion and solving the coupled partial differential equations. The respective effects of the adsorption and desorption rates on the MFPT are revealed and discussed.
我们研究了多个粒子向目标扩散、部分吸附在目标上、然后在有限的指数分布驻留时间后解吸的首次通过问题。我们搜索当 m 个粒子同时在目标上经历这种可逆的目标结合动力学时的首次时间，这可能触发不可逆的化学反应或生物物理事件。即使粒子是独立的，在目标上的有限驻留时间也会导致粒子之间复杂的时间耦合。我们通过将原始问题映射到更高维的表面介导扩散并求解耦合的偏微分方程，对两个独立粒子的平均首次通过时间（MFPT）进行了分析计算。揭示并讨论了吸附和解吸速率对 MFPT 的各自影响。
