5 papers
Well-posedness of the Langmuir film problem
Yoichiro Mori, Shinya Okabe, Koya Sakakibara
We analyze the inviscid Langmuir layer--Stokesian subfluid (ILLSS) model for two-phase Langmuir monolayers coupled to a Stokes flow in the underlying subfluid. Eliminating the bulk…
Sharp Interface Dynamics in a Minimal Non-Reciprocal Cahn-Hilliard System
Daniel Gomez, Yoichiro Mori, Sarah Strikwerda
Interest in non-reciprocally coupled systems recently led to the introduction of a minimal non-reciprocally coupled Cahn-Hilliard (CH) model by Brauns and Marchetti in 2024 arXiv:2…
Isochronal Phase Reduction and Speed Correction of a Pulse in a Stochastic Kinematic Model
Joshua A. McGinnis, Xinbo Li, Toshiyuki Ogawa +1
We develop a method for computing the stochastic wave speed of pulse solutions in kinematic equations subject to small stochastic forcing based on the isochronal phase reduction. T…
Self-construction and destruction of living transport networks
Chanoknun Sintavanuruk, Yoichiro Mori, Reza Farhadifar +1
Biological transport networks adapt through dynamic interactions between material transport and structural modification during growth and development. In this work, we present a mo…
Strong convergence with error estimates for a stochastic compartmental model of electrophysiology
Wai-Tong Louis Fan, Joshua A. McGinnis, Yoichiro Mori
This paper presents a rigorous mathematical analysis, alongside simulation studies, of a spatially extended stochastic electrophysiology model, the Hodgkin-Huxley model of the squi…