Bastien Polizzi

• Continuum mechanics and mixture theory: application to biology
• Numerical methods for PDE systems of advection-reaction-diffusion equations
• Hyperbolic system of conservation laws with constraint, application to road traffic
• Well-balanced and asymptotic-preserving numerical schemes for PDEs
• Kinetic models for biology and quadrature-based moment methods
• Integro-differential equations: application to evolutionary theory

Published articles

🔠 Authors in alphabetical order (mathematical convention).

• 2026
  Numerical simulations for the ARZ model for vehicular traffic with general point constraints on the density flux

  🔠 C. Donadello, B. Polizzi, U. Razafison, J. Y. Rolland, M. D. Rosini

  Communications in Mathematical Sciences, vol. 24, no. 7, pp. 1769–1793

  DOIHAL
• 2024
  Numerical schemes for mixture theory models with filling constraint: application to biofilm ecosystems

  🔠 O. Bernard, M. Bestard, T. Goudon, L. Meyer, S. Minjeaud, F. Noisette, B. Polizzi

  ESAIM: Proceedings and Surveys, vol. 77, pp. 249–266

  DOIHAL
• 2024
  (Epi)mutation rates and the evolution of composite trait architectures

  B. Polizzi, V. Calvez, S. Charlat, E. Rajon

  The American Naturalist, vol. 204, no. 3, pp. E42–E56

  DOI
• 2023
  Migration of surface-associated microbial communities in spaceflight habitats

  D. Marra, T. Karapantsios, S. Caserta, E. Secchi, M. Holynska, S. Labarthe, B. Polizzi, S. Ortega, M. Kostoglou, C. Lasseur, I. Karapanagiotis, S. Lecuyer, A. Bridier, M. F. Noirot-Gros, R. Briandet

  Biofilm, vol. 5, art. 100109

  DOIHAL
• 2022
  Understanding photosynthetic biofilm productivity and structure through 2D simulation

  B. Polizzi, A. Fanesi, F. Lopes, M. Ribot, O. Bernard

  PLOS Computational Biology, vol. 18, no. 4, art. e1009904

  DOIHAL
• 2020
  A Multi-Scale Epidemic Model of Salmonella infection with Heterogeneous Shedding

  🔠 S. Labarthe, B. Laroche, T. Nguyen, B. Polizzi, F. Patout, M. Ribot, T. Stegmaier

  ESAIM: Proceedings and Surveys, vol. 67, pp. 261–284

  DOIHAL
• 2018
  A mathematical model to investigate the key drivers of the biogeography of the colon microbiota

  S. Labarthe, B. Polizzi, T. Phan, T. Goudon, M. Ribot, B. Laroche

  Journal of Theoretical Biology, vol. 462, pp. 552–581

  DOIHAL
• 2018
  A two-dimensional population balance model for cell growth including multiple uptake systems

  V. Quedeville, H. Ouazaite, B. Polizzi, R. O. Fox, P. Villedieu, P. Fede, F. Létisse, J. Morchain

  Chemical Engineering Research and Design, vol. 132, pp. 966–981

  DOI
• 2017
  A time-space model for the growth of microalgae biofilms for biofuel production

  B. Polizzi, O. Bernard, M. Ribot

  Journal of Theoretical Biology, vol. 432, pp. 55–79

  DOIHAL
• 2017
  Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams

  🔠 F. Berthelin, T. Goudon, B. Polizzi, M. Ribot

  Networks and Heterogeneous Media, vol. 12, no. 4, pp. 591–617

  DOIHALarXiv
• 2016
  A mixture model for the dynamic of the gut mucus layer

  🔠 T. El Bouti, T. Goudon, S. Labarthe, B. Laroche, B. Polizzi, A. Rachah, M. Ribot, R. Tesson

  ESAIM: Proceedings and Surveys, vol. 55, pp. 111–130

  DOIHAL

Article under review

• 2026
  On a 2×2 system of conservation laws with discontinuous flux

  🔠 F. A. Chiarello, S. Fagioli, B. Polizzi, M. D. Rosini

  arXiv

Articles in preparation

• Analysis and numerical simulations for multilane second order traffic flow model

  C. Donadello, S. F. Pellegrino, B. Polizzi

• May 2025 (Epi)mutation rates and the evolution of composite trait architectures
  Séminaire du Laboratoire de Mathématiques Appliquées de Compiègne, France
• November 2023 (Epi)mutation rates and the evolution of composite trait architectures
  Groupe de Travail BioMaths Normand, LMRS, Rouen
• April 2023 Optimizing the productivity of a phototrophic biofilm
  Roscoff interdisciplinary meeting
• January 2022 Mathematical models for complex ecosystems
  Journées EDP de l'IECL, Nancy
• January 2022 (Epi)mutation rates and the evolution of composite trait architectures
  Math-Bio Working Group, Online

All talks (35) →

Currently

• Since September 2024 Analysis and numerical simulation of gas transmission networks and multiphase fluid systems
  Alice Gauthier (PhD candidate) · Co-supervised with: Ulrich Razafison

Previously

2022

• August 2022 Numerical schemes for mixture theory models with filling constraint: application to biofilm ecosystems
  CEMRACS project · Centre international de rencontres mathématiques - Marseille Luminy (6 semaines)
  Students: Mickael Bestard, Léo Meyer, Florent Noisette · Co-supervised with: O. Bernard, T. Goudon, S. Minjeaud

2018

• August 2018 A Multi-Scale Epidemic Model of Salmonella infection with Heterogeneous Shedding
  CEMRACS project · Centre international de rencontres mathématiques - Marseille Luminy (6 semaines)
  Students: Tao Nguyen, Florian Patout, Tabea Stegmaier · Co-supervised with: M. Ribot, S. Labarthe, B. Laroche