Applied Mathematics, Modeling of complex biological systems
Research fellow at INRIA Paris, team MAMBA
4, place Jussieu, Couloir 16-26, 3e étage
F75252 Paris Cedex 05
I was trained at the engineering school INSA and Université Paul Sabatier in Toulouse and I did my PhD at Institut de Mathématiques de Toulouse. I was then appointed as a post-doctoral fellow at the University of Vienna, Austria, before being recruted at Inria. I am interested in the mathematical modelling of biological systems and particularly in complex systems which develop self-organized dynamics. My methods combine analysis, asymptotic theory and multiscale numerical techniques. My research focuses on (i) the development and validation of (microscopic) agent-based models for biological applications (such as tissue morphogenesis, regeneration, wound healing, collective cell dynamics), (ii) the micro- macro- passage in models of complex systems, to establish the link between PDE and agent-based models using tools from kinetic theory.
Dec 10-11: Webseminar "Mathematical Methods for the Study of Self-organization in the Biological Sciences", Erwin Schrödinger Institute in Vienna, Austria https://www.esi.ac.at/events/e405/
Organisation of EWM-EMS Summer-School at Institut Mittag-Leffler on Multi-scale Modeling for Pattern Formation in Biological Systems (initially planned july 2020 and postponed to july 2021)
From Oct 2015 to Oct 2017 I was a post doctoral researcher in applied mathematics at the faculty of mathematics in Vienna with Christian Schmeiser. We were interested in modelling the morphology and mechanics of cells crawling, the motion of which being driven by cytoskeletal dynamics. I am a former member of the Project WWTF (Modeling of Polarization and Motility of Leukocytes in Three-Dimensional Environments).
Jan 8, 2020: Seminar, Vienna
Jan 18-24, 2020: Workshop Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications, Singapore
Nov 25-26, 2019 PDE-biology workshop, Orsay
Sept 2019: Mathematical Biology on the Mediterranean Conference, Samos, Greece
From september 2012 to august 2015, I was a PhD student in applied mathematics at Institut de Mathématiques de Toulouse (IMT) under the supervision of Pierre Degond and Fanny Delebecque. We worked in collaboration with two biologists: Louis Casteilla and Anne Lorsignol from the STROMALAB. We were interested in the modelling of adipose tissue homeostasis and I was a member of the CNRS project PEPS-MATH (Modeling Adult Tissue Homeostasis) and the project was supported by the Region Midi Pyrenees under grant APRTCN 2013.
July-August 2018: Project supervisor, CEMRACS, Marseille 'Mathematical modeling of cell aggregation and segregation', Students: K. Atsou, Marta Marulli, Remi Tesson
Organizer of the Open MAMBA Seminar
Co-Organizer of the GdT Math-Bio, LJLL, Sorbonne Université, campus Pierre et Marie Curie
Principal investigator of the INRIA-WPI (Vienna) associated team: M. Doumic, C. Schmeiser https://intranet.inria.fr/Actualite/Dossier-Equipes-Associees-MaMoCeMa-Diane-Peurichard-Mamba-et-l-Universite-de-Vienne
Mathematical modeling of complex systems coming from biology, microscopic models, derivation of macroscopic models, kinetic theory, Asymptotic study
2020-2023: PhD of Pauline Chassonnery in co-direction with Louis Casteilla (Stromalab, Toulouse): Mathematical 3D modelling of Adipose Tissues
2020-2021: Post-doc of Xinran Ruan: Hydrodynamic limits of volume-filling Keller-Segel models
2019-2022: PhD of Valeria Caliaro in co-direction with O. Chara (Sysbio Group, Argentina/ Technische Universitat, Dresden Germany): Mathematical modelling of Axolotl Regeneration
2019-2021: Post-doc of Sophie Hecht, in co-supervision with Marie Doumic (Inria Paris): Modelling of early-morphogenesis of rod-shaped bacteria
2019-2020: Post-doc of Gissell Estrada-Rodriguez in co-supervision with Luis Almeida: Modelling of Glioblastoma
2018: M2 Internship of Lois Naudin, with J. Clairambault 'Modelling the energetic metabolism in tumours'
2018: M2 internship of Shen Zhenyu, 'Coarse-graining of swimmer dynamics in a fluid filled with obstacles'
2018: Internship of V. Caliaro, LJLL, 'Population dynamics in two-species interacting systems'
WPI (University of Vienna) in the frame of the associated team 'Mathematical Modelling of Cell Motility and Autophagy' (MaMoCeMa) with M. Doumic, C. Schmeiser
STROMALab, Toulouse III University, long-lasting collaboration on tissue homeostasis and regeneration
SysBio Group/ Technische University Dresden, Germany in the frame of Valeria Caliaro PhD (supervision with O. Chara)
HTE Program 'Modeling of Glioblastoma treatment-induced resistance and heterogeneity by multi-modal imaging' (MoGlimaging) principal investigator: COHEN-JONATHAN MOYAL
INRIA-WPI (Vienna) associated team 'Mathematical Modelling of Cell Motility and Autophagy' (MaMoCeMa) with M. Doumic, C. Schmeiser
FSMP Ambassadeur-PGSM for Austria
Talk at Journées Scientifiques Inria, Lyon june 2019 https://www.youtube.com/watch?v=S663qjHdoFw&t=97s
Talk at IMPA, Rio de Janeiro, Brazil, nov 2018 https://www.youtube.com/watch?v=SPeiCewo5ks
Talk at CEMRACS 2018, Marseille, july 2018 https://www.youtube.com/watch?v=O50CkT8n_8I&t=563s