I am interested in the mathematical modelling and analysis of physical and biological phenomena, especially with perspectives in medical applications. My main focus is on modelling, that is the translation of empirical observations of physical, biological or sociological phenomena into mathematical equations, in order to reproduce or mimic said observations.
My current research subject is the high performance simulation of Thermo-Hydro-Mechanical models in faulted geological systems. This project is part of the ANR Earth-Beat (grant number ANR-23-CE50-0027) and is a collaboration between the Bureau de Recherches Géologies et Minières in Orléans (team Géomodélisation et Data-Science) and the Laboratoire de Mathématiques J-A. Dieudonné, University Côte d'Azur.
This manual is made to facilitate the proper use of a sophisticated, high precision, open source program intended to integrate a few-body problem (N ≤ 500) for the coordinates and velocities of stellar bodies. The program ARWV was originally developed by S. Mikkola and subsequently improved by various people, including myself, to treat a variety of cases.
It is available on arXiv
The model ECMmorpho-3D was developed during my PhD thesis to study the self-organization of the extracellular matrix. It is a three-dimensional Individual-Based Model describing a network of identical spherocylindrical fibers dynamically connected by linear elastic springs that can form and break according to Poisson law.
A Fortran code to run simulations of this model is available on GitHub.
The model ATmorpho-3D was developed during my PhD thesis to study the emergence of the 3D architecture of white adipose tissue. It is a three-dimensional Individual-Based Model describing the insemination and growth of round cells in a network of dynamically interconnected spherocylindrical fibers.
A Fortran code to run simulations of this model is available on GitHub.
From january 2020 to april 2023.
From september 2020 to december 2023, I was a PhD student in applied mathematics at the RESTORE Institute and the Laboratoire Jacques-Louis Lions (LJLL) under the supervision of Louis Casteilla and Diane Peurichard. We were interested in modelling the emergence of the 3D architecture of biological tissues, starting with two relatively simple cases : a non-specialised connective tissue reduced to its extracellular matrix component and the white adipose tissue.
The project was supported by Sorbonne University Alliance through the Emergence project MATHREGEN under grant number S29-05Z101, by the Agence Nationale de la Recherche (ANR) through the grant number ANR-22-CE45-0024-01 and by the Programme des Investissements d’Avenir through the grant EUR CARe N°ANR-18-EURE-0003.