# A Unified Approach to Gated Reactions on Networks

Source: [A Unified Approach to Gated Reactions on Networks](<https://www.sota2.com/research/paper/68fa3f781e209131ce8edca8>)

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

Data updated: 2025-10-25T02:24:27.957Z

Authors: Yuval Scher, Shlomi Reuveni

Published: 2021-01-13T15:20:49.000Z

## Abstract

For two molecules to react they first have to meet. Yet, reaction times are rarely on par with the first-passage times that govern such molecular encounters. A prime reason for this discrepancy is stochastic transitions between reactive and non-reactive molecular states, which results in effective gating of product formation and altered reaction kinetics. To better understand this phenomenon we develop a unifying approach to gated reactions on networks. We first show that the mean and distribution of the gated reaction time can always be expressed in terms of ungated first-passage and return times. This relation between gated and ungated kinetics is then explored to reveal universal features of gated reactions. The latter are exemplified using a diverse set of case studies which are also used to expose the exotic kinetics that arises due to molecular gating.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2101.05124>)

[PDF](<https://arxiv.org/pdf/2101.05124.pdf>)