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Updated: Apr 15, 2026
08:37
Forming, Confining, and Observing Microtubule-Based Active Nematics
Published on: January 13, 2023
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Domain nucleation and confinement in agent-controlled bistable systems
1The Institute of Physics and Technology, Mongolian Academy of Sciences, Ulaanbaatar 51, Mongolia and Department of Biological Sciences, Virginia Polytechnic and State University, Blacksburg, Virginia 24061, USA.
Summary
A novel pattern formation mechanism in growing bistable systems is revealed, where new domains spontaneously nucleate due to critical agent levels. This differs from Turing
Area of Science:
- Systems biology
- Chemical kinetics
- Mathematical modeling
Background:
- Pattern formation is crucial in biological and chemical systems.
- Bistable systems exhibit multiple stable states, complicating pattern dynamics.
- Existing models often focus on monostable systems or direct coupling.
Purpose of the Study:
- To elucidate a new mechanism for pattern formation in growing bistable systems.
- To investigate the role of indirect coupling via a fast diffusive agent.
- To analyze domain nucleation, stability, and spatial confinement.
Main Methods:
- Utilized a modified Fujita et al. reaction-diffusion model.
- Simulated a system with nondiffusive activator/inhibitor and a fast diffusive agent.
- Analyzed domain nucleation triggered by critical agent concentration.
Main Results:
- Demonstrated spontaneous domain nucleation in growing bistable systems.
- Observed stable domain formation distinct from Turing's mechanism.
- Showed spatial confinement of domains by the diffusive agent.
- Identified wave number instability in larger domains leading to concentration differences.
Conclusions:
- The reported mechanism provides a new understanding of pattern formation in growing bistable systems.
- Indirect coupling via a diffusive agent is key to this novel pattern genesis.
- This mechanism may be broadly applicable to systems exhibiting multistability and growth.
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