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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…
math.AP2023
Propagating front solutions in a time-fractional Fisher-KPP equation
Hiroshi Ishii
In this paper, we treat the Fisher-KPP equation with a Caputo-type time fractional derivative and discuss the propagation speed of the solution. The equation is a mathematical mode…