Cisco Webex, Online seminar
(線上演講 Cisco Webex)
On Pattern Dynamics in Mass-conserved Reaction-diffusion Compartment Model
Tsubasa Sukekawa (Kyoto University)
Abstract
In a mass-conserved reaction-diffusion system, we can observe by numerical simulations that transient dynamics such as stripe patterns converge to spatially monotone patterns. To understand the dynamics theoretically, we introduce a reaction-diffusion compartment model. This model equation is defined on multiple regions (compartments), and each compartment is connected by diffusive coupling.
In this study, we analyze linearized eigenvalue problems for N-mode stationary solutions for the compartment model. This problem is designed to understand the dynamics near the stripe patterns. This talk mainly shows results for the case N=2 and common properties with previous studies.
On the other hand, the compartment model also shows dynamics not observed in the original mass-conserved reaction-diffusion system by changing a parameter in diffusive coupling. This implies that the compartment model produces more various dynamics than the original system. (This talk is based on joint research with Prof. Shin-Ichiro Ei in Hokkaido University)
Meeting number (access code): 2516 251 0042
Meeting password: vvWhQs2Wc29
