# Reaction kinetics of membrane receptors: a spatial modeling approach

Source: [Reaction kinetics of membrane receptors: a spatial modeling approach](<https://www.sota2.com/research/paper/68fa49261e209131ce934fa8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T07:12:37.744Z

Authors: Anil Cengiz, Sean D Lawley

Published: 2025-01-23T17:02:25.000Z

## Abstract

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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2501.13837>)

[PDF](<https://arxiv.org/pdf/2501.13837.pdf>)