Cooperative Function with Thermal Fluctuations in Mechanical Networks

Ben Pisanty, Jovana Andrejevic, Andrea J. Liu, Sidney R. Nagel

Published: 2025/9/24

Abstract

Elastic networks can be tuned to exhibit complex mechanical responses and have been extensively used to study protein allosteric functionality, where a localized strain regulates the conformation at a distant site. We show that cooperative binding, where two sites each enhance the other's ability to function, can be trained via a symmetric application of the training previously employed for creating network allostery. We identify a crossover temperature above which cooperative functionality breaks down due to thermal fluctuations. We develop a modified training protocol to increase this crossover temperature, enabling function to remain robust at biologically relevant temperatures.

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