115 citations · 115 across the 6 of their papers we have counts for
4 papers · 1 filter
Front Location for Go or Grow Models of Aerotaxis
Mete Demircigil, Christopher Henderson
We investigate the pushed-to-pulled transition for a minimal model for invasive fronts influence by ``aerotaxis,'' that is, when organisms follow oxygen gradients. We consider two…
Convergence and Wave Propagation for a System of Branching Rank-Based Interacting Brownian Particles
Mete Demircigil, Milica Tomasevic
In this work we study a branching particle system of diffusion processes on the real line interacting through their rank in the system. Namely, each particle follows an independent…
When Self-Generated Gradients meet Cell Division: Waves and Speed Selection in a Minimal Model
Mete Demircigil
We study a minimal Go-or-Grow model for cell propagation driven by self-generated nutrient gradients, coupling diffusion, division, and directed migration through a discontinuous s…
Mathematical Modeling of Cell Collective Motion Triggered By Self-Generated Gradients
Mete Demircigil, Vincent Calvez, Roxana Sublet
Self-generated gradients have atttracted a lot of attention in the recent biological literature. It is considered as a robust strategy for a group of cells to find its way during a…