配体与球形细胞可逆结合的自洽理论
Self-consistent theory of reversible ligand binding to a spherical cell
摘要：
在这篇文章中，我们研究了可逆的配体结合受体的球形细胞表面上使用自洽随机理论的动力学。配体的结合、解离、扩散和再结合以系统的方式被纳入理论。我们明确地推导出配体结合的受体分数p（t）在各种制度的时间演变。与普遍接受的观点相反，我们发现，著名的Berg-Purcell标度的关联率被修改为时间的函数。具体而言，有效导通速率作为时间的函数非单调地变化，并且在非常早的时间以及晚的时间等于固有速率，而在中间时间近似等于Berg-Purcell值。在结合曲线中出现的或在解离实验中测量的有效解离速率被再结合事件强烈地修改，并且假定Berg-Purcell值，除了在非常晚的时间，其中衰减是代数的而不是指数的。在平衡状态下，溶液中各处的配体浓度是相同的并且等于其空间平均值，从而确保在细胞附近没有耗尽。结合实验和配体-受体系统的数值模拟，我们的结果的影响进行了讨论。
英文摘要：
In this article, we study the kinetics of reversible ligand binding to receptors on a spherical cell surface using a self-consistent stochastic theory. Binding, dissociation, diffusion and rebinding of ligands are incorporated into the theory in a systematic manner. We derive explicitly the time evolution of the ligand-bound receptor fraction p(t) in various regimes . Contrary to the commonly accepted view, we find that the well-known Berg-Purcell scaling for the association rate is modified as a function of time. Specifically, the effective on-rate changes non-monotonically as a function of time and equals the intrinsic rate at very early as well as late times, while being approximately equal to the Berg-Purcell value at intermediate times. The effective dissociation rate, as it appears in the binding curve or measured in a dissociation experiment, is strongly modified by rebinding events and assumes the Berg-Purcell value except at very late times, where the decay is algebraic and not exponential. In equilibrium, the ligand concentration everywhere in the solution is the same and equals its spatial mean, thus ensuring that there is no depletion in the vicinity of the cell. Implications of our results for binding experiments and numerical simulations of ligand-receptor systems are also discussed.
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