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Updated: Oct 14, 2025
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.7K
Beyond Turing: far-from-equilibrium patterns and mechano-chemical feedback.
Frits Veerman1, Moritz Mercker2, Anna Marciniak-Czochra2
1University of Leiden, Mathematical Institute, Niels Bohrweg 1, Leiden 2333 CA, The Netherlands.
Summary
This study challenges the traditional view of Turing patterns, proposing new models for pattern formation in biological systems. These advanced approaches offer better explanations for observed biological patterns beyond classical diffusion-driven instabilities.
Area of Science:
- Developmental biology
- Mathematical biology
- Chemical physics
Background:
- Classical Turing patterns arise from diffusion-driven instabilities in activator-inhibitor systems.
- The conventional understanding of Turing patterns is restrictive and may not fully align with biological observations.
Purpose of the Study:
- To present alternative frameworks for understanding pattern formation beyond the classical Turing instability.
- To explore far-from-equilibrium pattern formation and the role of dynamic surfaces in morphogenesis.
Main Methods:
- Utilizing the abstract framework of evolution equations for studying non-equilibrium patterns.
- Introducing a novel mechano-chemical model where the substrate actively participates in pattern formation.
Main Results:
- Demonstrated advantages of evolution equations and mechano-chemical models over classical Turing analysis.
- Provided an overview of recent findings and future research directions in these alternative approaches.
Conclusions:
- The classical Turing model is a limited view of pattern formation.
- Alternative models, including evolution equations and mechano-chemical systems, offer more comprehensive explanations for biological morphogenesis.
Keywords:
evolution equationsfar-from-equilibrium patternsmechano-chemical modelspattern formationreaction–diffusionMore Related Videos
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