2 papers
math.AP2026
Geometry-induced pulse dynamics in a bulk-surface reaction-diffusion system for cell polarization
Riku Watanabe
This paper studies a bulk--surface reaction--diffusion system for cell polarization in two-dimensional domains. The model describes the formation of localized patterns through the…
nlin.PS2026
Spot solutions to a neural field equation on oblate spheroids
Hiroshi Ishii, Riku Watanabe
Understanding the dynamics of excitation patterns in neural fields is an important topic in neuroscience. Neural field equations are mathematical models that describe the excitatio…