2025

Convergence and Wave Propagation for a System of Branching Rank-Based Interacting Brownian Particles
M. Demircigil, M. Tomasevic
arXiv:2505.08563
DOI — https://doi.org/10.48550/arXiv.2505.08563

PDF — https://arxiv.org/pdf/2505.08563.pdf

Density-dependent cell migration in the absence of social interactions: a case study of Acanthamoeba castellanii

N. Ghazi, M. Demircigil, O. Cochet-Escartin, A. Chauviat, S. Favre-Bonté, C. Anjard, J-P. Rieu

European Physical Journal E

DOI — https://doi.org/10.1140/epje/s10189-025-00502-6

PDF — https://link.springer.com/content/pdf/10.1140/epje/s10189-025-00502-6.pdf

2023

A paradigm for well-balanced schemes for traveling waves emerging in parabolic biological models
M. Demircigil, B. Fabreges
arXiv:2304.00826
DOI — https://doi.org/10.48550/arXiv.2304.00826

PDF — https://arxiv.org/pdf/2304.00826.pdf

2022

When Self-Generated Gradients interact with Expansion by Cell Division and Diffusion. Analysis of a Minimal Model
M. Demircigil
arXiv:2203.05204
DOI — https://doi.org/10.48550/arXiv.2203.05204

PDF — https://arxiv.org/pdf/2203.05204.pdf

PhD Thesis: Collective Movement in Dictyostelium discoideum and Other Species: Modelling, Analysis and Simulation

M. Demircigil

PDF — https://theses.hal.science/tel-04233927

Commentary: The dynamics of aerotaxis in a simple eukaryotic model

J-P. Rieu, O. Cochet-Escartin, C. Anjard, M. Demircigil, V. Calvez

Frontiers in Cell and Developmental Biology

DOI — https://doi.org/10.3389/fcell.2022.844812

2021

Hypoxia triggers collective aerotactic migration in Dictyostelium discoideum
O. Cochet-Escartin, M. Demircigil, S. Hirose, B. Allais, P. GonzaloIvan, I. Mikaelian, K. Funamoto, C. Anjard, V. Calvez, J.-P. Rieu
eLife
DOI — https://doi.org/10.7554/eLife.64731

PDF — https://elifesciences.org/articles/64731.pdf

Mathematical Modeling of Cell Collective Motion Triggered by Self-Generated Gradients

M. Demircigil, V. Calvez, R. Sublet

arXiv:2109.06494

DOI — https://doi.org/10.48550/arXiv.2109.06494

PDF — https://arxiv.org/pdf/2109.06494.pdf

2017

On a Model of Associative Memory with Huge Storage Capacity
M. Demircigil, J. Heusel, M. Löwe, S. Upgang, F. Vermet
Journal of Statistical Physics
DOI — https://doi.org/10.1007/s10955-017-1806-y

PDF — https://link.springer.com/content/pdf/10.1007/s10955-017-1806-y.pdf

2025

• Active Matter: the synergy between Maths and Physics, Institut Henri Poincaré, Paris (Participation)

• Emerging Connections between Reaction-Diffusion, Branching Processes, and Biology, BIRS, Banff (Poster)

• Applied Mathematics Colloquium, University of Arizona, Tucson (Talk)

2024

• Dynamical Models Inspired by Biology, BIRS, Banff (Online participation)

• Analysis, Dynamics, and Applications Seminar, University of Arizona, Tucson (Talk)

2023

• MAC Seminar, Institut de Mathématiques de Toulouse, Toulouse (Talk) 

• Nonlinear Problems in Mathematics Seminar, Koç University, Istanbul (Talk)

2022

• Academic Chair “Modeling Mathematics and Biodiversity”, INRIA Aussois (Talk)

• DRACULA team seminar, INRIA Lyon (Talk)

• Mathematical Models in Ecology and Evolution, IHP Paris (Talk)

• Analysis, Dynamics & Applications Seminar, University of Arizona (Talk)

2021

• CNRS MAMOVI Research Group, École Polytechnique (Talk)

• Young Researchers Day, Lyon (Talk)

• CJC-MA 2021, École Polytechnique (Talk)

• CIRM Marseille, Nonlocal Biological Models (Poster)

• EWM-EMS Summer School in Pattern Formation (Talk)

• SMAI 2021, La Grande Motte (Talk)

• Society for Mathematical Biology Annual Meeting (Contributed Talk)

• DRACULA team seminar, INRIA Lyon (Talk)

2020

• Thematic Month “Mathematical Issues in Biology”, CIRM Marseille (Participation)

2019

• PDE–Biology Working Group, Université Paris-Sud (Participation)

• Mathematical Biology on the Mediterranean Conference, Samos (Participation)

• Summer School on Mathematical Biology, Shanghai (Participation)

• DYSCO Meeting “Cell Migration”, Grenoble (Participation)

• 50 Years of LJLL Opening Colloquium, Roscoff (Participation)

University of Arizona

• Fall 2025: 

  • MATH 294A: Putnam Seminar

  • MATH 464: Theory of Probability

• Spring 2025: 

  • MATH 468/568: Applied Stochastic Processes

• Fall 2024: 

  • MATH 294A: Putnam Seminar

  • MATH 464: Introduction to ODEs

• Spring 2024: 

  • MATH 122B: First-semester Calculus

Koç University

• Summer 2023: 

  • MATH 106: Calculus

  • MATH 201: Statistics

• Spring 2023: 

  • MATH 102: Calculus

  • MATH 211: Statistics for Sciences

• Fall 2022: 

  • MATH 101: Finite Mathematics

  • MATH 202: Statistics for Social Sciences - Award for learning and teaching manifested at the highest level

Université Claude Bernard Lyon 1

• Fall 2021: 

  • Basis of mathematics I - Teaching assistant

  • Fundamentals of mathematics I - Teaching assistant

  • Fundamentals of mathematics II - Oral Examiner

• Spring 2021: 

  • Fundamentals of mathematics II - Teaching assistant

• Spring 2020: 

  • Fundamentals of mathematics II - Teaching assistant