Laboratoire de Physique de la Matière Condensée (UMR 7643), CNRS - Ecole Polytechnique, IP Paris, 91128 Palaiseau, France.
J Chem Phys. 2019 Oct 21;151(15):154103. doi: 10.1063/1.5119969.
We study diffusion of particles on the surface of a sphere toward a partially reactive circular target with partly reversible binding kinetics. We solve the coupled diffusion-reaction equations and obtain the exact expressions for the time-dependent concentration of particles and the total diffusive flux. Explicit asymptotic formulas are derived in the small target limit. This study reveals the strong effects of reversible binding kinetics onto diffusion-mediated reactions that may be relevant for many biochemical reactions on cell membranes.
我们研究了球体表面的粒子向部分反应性圆形靶标的扩散，其中结合动力学部分可逆。我们求解了耦合的扩散-反应方程，并得到了粒子浓度随时间变化的精确表达式和总扩散通量。在小目标极限下推导出了显式渐近公式。这项研究揭示了可逆结合动力学对扩散介导反应的强烈影响，这对于细胞膜上的许多生化反应可能是相关的。
