scholarly journals Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
Yoji Kawamura ◽  
Sho Shirasaka ◽  
Tatsuo Yanagita ◽  
Hiroya Nakao
2019 ◽  
Author(s):  
Shunshi Kohyama ◽  
Natsuhiko Yoshinaga ◽  
Miho Yanagisawa ◽  
Kei Fujiwara ◽  
Nobuhide Doi

AbstractMin system, which determines the cell division plane of bacteria, uses the localization change of protein (Min wave) emerged by a reaction-diffusion coupling. Although previous studies have shown that cell-sized space and boundaries modulate shape and speed of Min waves, its effects on Min wave emergence was still elusive. Here, by using a fully confined microsized space as a mimic of live cells, we revealed that confinement changes conditions for Min wave emergence. In the microsized space, an increase of surface-to-volume ratio changed the localization efficiency of proteins on membranes, and therefore, suppression of the localization change was necessary to produce stable Min wave generations. Furthermore, we showed that the cell-sized space more strictly limits parameters for wave emergence because confinement inhibits instability and excitability of the system. These results illuminate that confinement of reaction-diffusion systems works as a controller of spatiotemporal patterns in live cells.


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