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Robustness of spatial patterns in buffered reaction-diffusion systems and its reciprocity with phase plasticity
Tetsuhiro S Hatakeyama1, Kunihiko Kaneko1
1Department of Basic Science, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8902, Japan.
Physical Review. E
|April 19, 2017
Summary
This study introduces a buffered reaction-diffusion system that achieves robust spatial patterns. The buffer molecule
Area of Science:
- Developmental biology
- Chemical kinetics
- Pattern formation
Background:
- Organismal development requires robust spatial patterns to adapt to environmental changes.
- While specific robustness mechanisms are known, general principles in reaction-diffusion systems remain unclear.
Purpose of the Study:
- To propose and analyze a general mechanism for achieving robustness in reaction-diffusion systems.
- To investigate the role of buffer molecules in pattern stability and wavelength control.
Main Methods:
- Development of a theoretical buffered reaction-diffusion model.
- Analytical investigation of scaling properties and dynamics.
- Exploration of the relationship between robustness and plasticity.
Main Results:
- Demonstrated that a buffered reaction-diffusion system ensures pattern wavelength robustness.
- Identified buffer molecule dynamics as the key to wavelength stability.
- Revealed a reciprocal relationship between wavelength robustness and spatial phase plasticity.
Conclusions:
- The proposed buffered system offers a general mechanism for pattern robustness in developmental processes.
- Buffer molecule dynamics are crucial for maintaining spatial pattern integrity.
- The trade-off between robustness and plasticity has implications for understanding biological pattern formation.