标题： 膜受体的反应动力学：一种空间建模方法 显示英文标题

标题： Reaction kinetics of membrane receptors: a spatial modeling approach

摘要： 扩散分子与膜结合受体之间的相互作用驱动了多种细胞过程。 在本工作中，我们通过均质化细胞膜并描述分子扩散和分子-受体相互作用的演化，开发了一个分子相互作用的空间模型。 通过分析一个与常微分方程耦合的偏微分方程，我们推导出四种典型相互作用情景下的稳态分子通量率的解析表达式：米氏动力学、底物竞争、竞争性抑制和非竞争性抑制。 对于每种情景，我们展示了如何修改经典的均匀反应速率理论，以解决与绑定到细胞膜上的受体固有的空间特征。 我们发现，在某些生物物理参数范围内，简单的均匀计算会显著高估反应速率。 显示英文摘要

摘要： The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with membrane receptors by homogenizing the cell membrane and describing the evolution of both molecular diffusion and molecule-receptor interactions. By analyzing a resulting partial differential equation coupled to ordinary differential equations, we derive analytical expressions for the steady-state molecular influx rate in four prototypical interaction scenarios: Michaelis-Menten kinetics, Substrate Competition, Competitive Inhibition, and Uncompetitive Inhibition. For each scenario, we show how to modify the classical well-mixed reaction rate theory to resolve spatial features inherent to receptors bound to cell membranes. We find that naive well-mixed calculations significantly overestimate reaction rates in certain biophysical parameter regimes.