# Information Entropy Metrics to Address the Complexity of Cooperative Gating of Ion Channels

## TL;DR

This paper introduces entropy metrics to study how ion channels work together, offering a new way to analyze their cooperative behavior in biological membranes.

## Contribution

A novel entropy-based framework is proposed to quantify and analyze cooperative gating of ion channels using information-theoretic metrics.

## Key findings

- Shannon entropy and Sample Entropy effectively capture the strength and type of inter-channel cooperation.
- The entropy measures show strong dependency on simulated cooperative behaviors in multi-channel systems.
- The framework is generalizable for biomedical data analysis and can uncover cooperative mechanisms in ion channel recordings.

## Abstract

Ion channels in biological membranes can form spatially localized clusters that exhibit cooperative gating behavior. In this mode, the activity of one channel modulates the opening probability of its neighbors. Understanding such inter-channel interactions is key to elucidating the molecular mechanisms underlying electrochemical signaling and advancing channel-targeted pharmacology. In this study, we introduce a simplified stochastic model of multi-channel gating that allows for systematic analysis of cooperative behavior under controlled conditions. Two information-theoretic metrics, i.e., Shannon entropy and Sample Entropy, are applied to simulated multi-channel datasets, including idealized total current traces and dwell-time sequences of cluster states, to quantify inter-channel cooperativity. We show that the entropic measures display a strong dependency on the strength and type of cooperation (non-, positive, or negative cooperation). The proposed entropy-based framework offers a generalizable and quantitative approach for biomedical data analysis, demonstrating effectiveness in interpreting multi-channel recordings and uncovering cooperative mechanisms in ion channel behavior. The underlying mechanisms by which entropy reflects cooperativity are expected to appear in real recordings, where deviations can further aid in characterizing individual channel features in future work.