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Main Authors: ter Burg, Cathelijne, Zwicker, David
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.05093
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author ter Burg, Cathelijne
Zwicker, David
author_facet ter Burg, Cathelijne
Zwicker, David
contents Patterns are ubiquitous in nature, but how they form is often unclear. Turing developed a seminal theory to explain patterns based on reactions that counteract the equalizing tendency of diffusion. These reactions require continuous energy input since the system otherwise would proceed to equilibrium, but what systems are energy-efficient is currently unclear. To address this question, we introduce a thermodynamically-consistent model of a Turing system. We reveal that repulsive interactions between the stereotypical activator and inhibitor reduce energy requirements significantly. Interestingly, efficient patterns occur for weak activity, albeit at reduced amplitude. Our results suggest that physical interactions might be central in forming natural patterns.
format Preprint
id arxiv_https___arxiv_org_abs_2509_05093
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Physical interactions enable energy-efficient Turing patterns
ter Burg, Cathelijne
Zwicker, David
Biological Physics
Patterns are ubiquitous in nature, but how they form is often unclear. Turing developed a seminal theory to explain patterns based on reactions that counteract the equalizing tendency of diffusion. These reactions require continuous energy input since the system otherwise would proceed to equilibrium, but what systems are energy-efficient is currently unclear. To address this question, we introduce a thermodynamically-consistent model of a Turing system. We reveal that repulsive interactions between the stereotypical activator and inhibitor reduce energy requirements significantly. Interestingly, efficient patterns occur for weak activity, albeit at reduced amplitude. Our results suggest that physical interactions might be central in forming natural patterns.
title Physical interactions enable energy-efficient Turing patterns
topic Biological Physics
url https://arxiv.org/abs/2509.05093