Publications
Preprints
A. Pacary, D. Peurichard, L. Vaysse, P. Montsarrat, C. Bolut, C. Guissard, A. Lorsignol, V. Planat, J. Paupert, M. Ousset, L. Casteilla, A digital tissue repair model identifies an early transient decrease in fiber cross-linking that unlocks regeneration in adult mammals, submitted
G. Estrada Rodriguez, D. Peurichard, X. Ruan, Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit, lien arxiv
International journals
V. Caliaro, D. Peurichard, O. Chara, How a reaction-diffusion signal can control spinal cord regeneration in axolotls: A modelling study, iScience (2024), link
M. Doumic; S. Hecht, B. Perthame, D. Peurichard, Multispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusion, J. Diff. Eq. (2024) 389:228-256, link
P. Chassonnery, J. Pauper, A. Lorsignol, C. Séverac, M. Ousset, P. Degond, L. Casteilla, D. Peurichard, Fiber crosslinking drives the emergence of order in a 3D dynamical network model, R. Soc. Open Sci.1(2024)1231456231456 link
P. Degond, A. Manhart, S. Merino-Aceituno, D. Peurichard, L. Sala, How environment affects active particle swarms: a case study, R. Soc. open sci. (2022) 9:220791 http://doi.org/10.1098/rsos.220791. link arXiv.
L. Almeida, G. Estrada-Rodriguez, L. Oliver, D. Peurichard, A. Poulain, F. Vallette, Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach. J Math Biol. (2021) Aug 24;83(3):29
P. Aceves-Sanchez, B. Aymard, D. Peurichard, P. Kennel, A. Lorsignol, F. Plouraboue, L. Casteilla, P. Degond , A new model for the emergence of blood capillary networks, Networks and Heterogeneous Media, (2021), 16:91-138 , link arxiv
P. Aceves-Sanchez, P. Degond, E.E. Keaveny, A. Manhart, S. Merino-Aceituno, D. Peurichard, Large-scale dynamics of self-propelled particles moving through obstacles: model derivation and pattern formation. Bull. Math. Bio. (2020) 82(129)
M. Doumic, S. Hecht, D. Peurichard, A purely mechanical model with asymmetric features for early morphogenesis of rod-shaped bacteria micro-colony, Math. Biosci. and Eng., (2020), 17(6): 6873-6908
J. Barré, P. Degond, D. Peurichard, E. Zatorska, Modelling pattern formation through differential repulsion, Networks and Heterogeneous media, (2020), 15:307-352. Manuscript on arXiv
G. Jankowiak , D. Peurichard , A. Reversat , C. Schmeiser , M. Sixt, Modelling adhesion-independent cell migration, Mathematical Models and Methods in Applied Sciences (2020) Vol. 30 (3): 513-537, lien arXiv
D. Peurichard, M. Ousset, J. Paupert, B. Aymard, A. Lorsignol, L. Casteilla, P. Degond, Extra-cellular matrix rigidity may dictate the fate of injury outcome, Journal of Theoretical Biology 469 (2019), pp. 127-136.
N. Sfakianakis, D. Peurichard, A. Brunk, C. Schmeiser, Modelling cell-cell collision and adhesion with the Filament Based Lamellipodium Model, (2018), Biomath, lien arxiv
J. Barré, J.A. Carillo, P. Degond, E. Zatorska, D. Peurichard, Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions, Journal of Nonlinear Science (2017), 1-34, doi:10.1007/s00332-017-9408-z lien arXiV
D. Peurichard, F. Delebecque, A. Lorsignol, C. Barreau, J. Rouquette , X. Descombes, L. Casteilla and P. Degond, Simple mechanical cues could explain adipose tissue morphology, Journal of Theoretical Biology (2017). https://doi.org/10.1016/j.jtbi.2017.06.030, lien arXiv
S. Motsch, D. Peurichard, From short-range repulsion to Hele-Shaw problem in a model of tumor growth, Journal of Mathematical Biology (2017). doi:10.1007/s00285-017-1143-4, lien arXiv
D. Peurichard, Macroscopic model for linked fibers with alignment interactions: existence theory and numerical simulations, Multiscale Modeling and Simulations (2016) 14-4, pp. 1175-1210
P. Degond, F. Delebecque, D. Peurichard, Continuum model for linked fibers with alignment interactions, Mathematical Models and Methods in Applied Sciences (2016) 26 pp. 269–318, lien arXiv
Book chapters
P. Degond, D. Peurichard, Modelling tissue self-organization: from micro to macro models, in "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications", A. Gerisch, R. Penta, J. Lang (Editors), Lecture Notes in Computational Science and Engineering, Springer Verlag, Heidelberg, 2017, pp. 93-108.
Proceedings
L. Almeida , K. Atsou , M. Marulli , D. Peurichard and R. Tesson , CEMRACS 2018: Phase transitions in a two-species model for cell segregation and logistic growth,ESAIM: PROCEEDINGS AND SURVEYS, April 2020, Vol. 67, p. 1-15
Poster presentations
phD Defense
Title: Modélisation mathématique de systèmes biologiques et dérivation de modèles macroscopiques
Referees: C. Schmeiser, M. Ribot
Jury : L. Casteilla, F. Delebecque, P. Lafitte, C. Besse, P. Degond (guest)
Links : Manuscript, Slides
Projects/reports
Saffman-Taylor instability on non-newtonian fluids, P. Ern, P. Tordjeman, D. Peurichard, 2011(Internship report)
Majoration directe de l’erreur des réseaux de neurones, M. Laporte, P. Cayot, D. Peurichard, 2011(INSA Project)
Development of high-order approximation on volumetric source term, M. Didomenico, D. Peurichard, 2010(Internship report)