3 papers
nlin.PS2025
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…
math.AP2025
Relationship between haptotaxis and chemotaxis in cell dynamics
Hiroshi Ishii, Hideki Murakawa, Yoshitaro Tanaka
Cell sorting mediated by direct cell--cell contact or cellular protrusions can be described by nonlocal cell--cell adhesion models of haptotaxis type, whereas communication through…
math.AP2024
On the approximation of spatial convolutions by PDE systems
Hiroshi Ishii, Yoshitaro Tanaka
This paper considers the approximation of spatial convolution with a given radial integral kernel. Previous studies have demonstrated that approximating spatial convolution using a…