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Appearance and suppression of Turing patterns under a periodically forced feed
Brigitta Dúzs1,2, Gábor Holló3, Hiroyuki Kitahata4
1Laboratory of Nonlinear Chemical Dynamics, Institute of Chemistry, Eötvös Loránd University, Pázmány Péter stny. 1/A, H-1117, Budapest, Hungary.
Communications Chemistry
|January 25, 2023
Summary
Turing patterns can form even with fluctuating input concentrations. Periodic feeding offers a new method to control pattern formation in reaction-diffusion systems.
Area of Science:
- Chemical kinetics
- Pattern formation
- Reaction-diffusion systems
Background:
- Turing instability is a key mechanism for pattern formation in biological and chemical systems.
- Understanding the robustness of Turing patterns under environmental variations is crucial.
- Chemical experiments provide simplified models for studying reaction-diffusion phenomena.
Purpose of the Study:
- To investigate the effect of sinusoidal variations in input feed concentrations on chemical Turing patterns.
- To explore the robustness of Turing patterns against fluctuating environmental conditions.
- To assess the potential of time-dependent feeding for controlling pattern formation.
Main Methods:
- Experimental analysis of chemical Turing patterns.
- Numerical simulations of reaction-diffusion models.
- Theoretical investigation of pattern formation dynamics.
Main Results:
- Turing patterns can emerge and persist despite significant amplitude variations in input feed concentrations.
- Periodic forcing through time-dependent feeding can induce pattern disappearance or formation from a homogeneous state.
- Sinusoidal variations in feed concentrations demonstrate a novel aspect of Turing pattern robustness.
Conclusions:
- Turing patterns exhibit surprising robustness to environmental fluctuations.
- Time-dependent feeding presents a viable strategy for dynamic control over pattern formation.
- This study advances the understanding of pattern formation mechanisms in reaction-diffusion systems.
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