115 citations · 115 across the 6 of their papers we have counts for
6 papers
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…
A paradigm for well-balanced schemes for traveling waves emerging in parabolic biological models
Mete Demircigil, Benoit Fabreges
We propose a methodology for designing well-balanced numerical schemes to investigate traveling waves in parabolic models from mathematical biology. We combine well-balanced techni…
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…
On a model of associative memory with huge storage capacity
Mete Demircigil, Judith Heusel, Matthias Löwe +2
In [7] Krotov and Hopfield suggest a generalized version of the well-known Hopfield model of associative memory. In their version they consider a polynomial interaction function an…