Publications

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Magali Ribot

• Articles :
  

  • A-S. Giacobbi,L. Meyer, M. Ribot, R. Yvinec, H. Soula, C. Audebert, Mathematical modeling of adipocyte size distributions : Identifiability and parameter estimation from rat data, J. Theor. Biology, 2024..(pdf)
  • L. Meyer, M. Ribot, R. Yvinec, A Lifschitz-Slyozov type model for adipocyte size dynamics : limit from Becker-Döring system and numerical simulation, J. Math. Biology, 2024..(pdf)
  • B. Polizzi, A. Fanesi, F. Lopes, M. Ribot, O. Bernard, Understanding photosynthetic biofilm productivity and structure through 2D simulation, PLOS Computational Biology, 18(4) : e1009904, 2022..(pdf)
  • M. Briani, G. Puppo, M. Ribot, Angle dependence in coupling conditions for shallow-water equations at channel junction, Computers and Mathematics with Applications,108 (2022), 49-65..(pdf)
  • S. Labarthe, B. Laroche, T. Nguyen, B. Polizzi, F. Patout, M. Ribot, T. Stegmaier, A multi-scale epidemic model of salmonella infection with heterogeneous shedding, ESAIM : ProcS, 2020, Vol. 67, p. 261-284.(pdf)
  • J. Gilleron, T. Goudon, F. Lagoutiere, H. Martin, B. Mauroy, P. Millet, M. Ribot, C. Vaghi, Modeling and analysis of adipocytes dynamic with a differentiation process,ESAIM : ProcS, 2020, Vol. 67, p. 210-241.(pdf)
  • S. Labarthe, B. Polizzi, T. Phan, T. Goudon, M. Ribot, B. Laroche, A mathematical model to investigate the key drivers of the biogeography of the colon microbiota, Journal of Theoretical Biology, , Volume 462, 2019, Pages 552-581.(pdf)
  • M. Ribot. A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis, ESAIM : ProcS, 61 (2018) 68-92
    (pdf)
  • B. Polizzi, O. Bernard, M. Ribot. A time-space model for the growth of micro-algae biofilms for biofuel production, Journal of Theoretical Biology, 432C, pp. 55-79 (2017) (pdf)
  • F. Berthelin, T. Goudon, B. Polizzi, M. Ribot. Asymptotic problems and numerical schemes for traffic flows with unilateral constraints describing the formation of jams , Networks and Heterogeneous Media, Vol. 12, No. 4 (2017)(pdf)
  • T. El Bouti, T. Goudon, S. Labarthe, B. Laroche, B. Polizzi, A. Rachah, M. Ribot, R. Tesson, A mixture model for the dynamic of the gut mucus layer , ESAIM: PROCEEDINGS AND SURVEYS, December 2016, Vol. 55, p. 111-130 (pdf)
  • F. Clarelli, C. Di Russo, R. Natalini, M. Ribot. A fluid dynamics multidimensional model of biofilm growth: stability, influence of environment and sensitivity, Math Med Biol. 2016 Dec;33(4):371-395 (pdf)
  • T. Goudon, B. Nkonga, M. Rascle, M. Ribot, Self-organized populations interacting under pursuit-evasion dynamics, Physica D 304 - 305 (2015) 1 - 22. (pdf)
    
  • F. Berthelin, D. Chiron, M. Ribot. Stationary solutions with vacuum for a one-dimensional chemotaxis model with non-linear pressure, Commun. Math. Sci. vol. 14, no. 1, 147-186 (2015). (pdf)
  • R. Natalini, M. Ribot, M. Twarogowska. A numerical comparison between degenerate parabolic and quasilinear hyperbolic models of cell movements under chemotaxis, J Sci Comput (2015) 63:654 -- 677. (pdf)
  • G. Bretti, R. Natalini, M. Ribot. A hyperbolic model of chemotaxis on network : a numerical study, M2AN 48(1) : 231-258 (2014) (pdf).
  • R. Natalini, M. Ribot, M. Twarogowska. A well-balanced numerical scheme for a one dimensional quasilinear hyperbolic model of chemotaxis , Commun. Math. Sci. 12 (2014), no.1, 13-39. (pdf)
  • F. Clarelli, C. Di Russo, R. Natalini, M. Ribot. A fluid dynamics model of the growth of phototrophic biofilms , J. Math. Biol. 66 (2013), no. 7, 1387-1408 . (pdf)
  • R. Natalini and M. Ribot. An asymptotic high order mass-preserving scheme for a hyperbolic model of chemotaxis, SIAM J. Numer. Anal. 50 (2012), no. 2, 883-905.(pdf)
  • M. Ribot and  M. Schatzman.  Stability, convergence and order of the extrapolations of the Residual Smoothing Scheme in energy norm, Confluentes Math. 3 (2011), no. 3, 495-521. (pdf)
  • C. Di Russo; R. Natalini and M. Ribot. Global existence of smooth solutions to a two-dimensional hyperbolic model of chemotaxis. CAIM, 1, no. 1 : 92-109 (2010). (pdf)
  • F.R. Guarguaglini, C. Mascia, R. Natalini, and M. Ribot. Stability of constant states and qualitative behavior of solutions to a one dimensional hyper- bolic model of chemotaxis, Discrete Contin. Dyn. Syst. Ser. B 12 (2009), no. 1, 39-76. (pdf)
  • M. Ribot, Asymptotics of some ultra-spherical polynomials and their extrema, Methods and Applications of Analysis, 12(1):43-74, 2005. (pdf)
  • P.H. Chavanis, M. Ribot, C. Rosier and C. Sire, On the analogy between self-gravitating brownian particles and bacterial populations, Banach Center Publ., 66 : 103-126, 2004. (pdf)
  • S. Descombes, M. Ribot, Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems , Numerische Mathematik, 95(3):503-525, 2003.(pdf)

• Proceedings with review process :
  

  • G. Bretti; R. Natalini,  and  M. Ribot. A Numerical Scheme for a Hyperbolic Relaxation Model on Networks, Numerical Analysis and Applied Mathematics ICNAAM 2011, AIP Conf. Proc. 1389, 1412-1415 (2011);doi: 10.1063/1.3637886. (pdf)
  • F. Clarelli; C. Di Russo; R. Natalini and M. Ribot. Mathematical models for biofilms on the surface of monuments. In Applied and Industrial Mathematics in Italy III, proceedings of the 9th Conference SIMAI, Rome 2008, Series on Advances in Mathematics for Applied Sciences, World Scientific., vol. 82 (2009). (pdf)
  • M. Ribot and  M. Schatzman, Equivalence between the spectral and the finite elements matrices , dans Computational Fluid and Solid Mechanics 2003, K.J.Bathe editor, Elsevier. Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, held in Cambridge, Massachussets, USA, June 17-20 2003.(pdf)
  • M. Ribot and  M. Schatzman, Développement asymptotique des zéros des polynômes ultra-sphériques et application au préconditionnement des méthodes spectrales: cas des dimensions 1 et 2 , Actes de congrès CANUM 2003.(pdf)
    

• PhD Thesis and Habilitation Thesis :
  

  • M. Ribot, Systèmes d'équations aux dérivées partielles pour la biologie : modèles, analyse numérique et simulations , Habilitation à Diriger les Recherches, Université Nice Sophia Antipolis, Décembre 2014. (pdf)
  • M. Ribot, Etude théorique de schémas numériques pour les systèmes de réaction-diffusion; application à des équations paraboliques non linéaires et non locales , Thèse de Doctorat, Univesité Claude Bernard - Lyon 1, Décembre 2003. (pdf)

• Book (with teaching purposes):

  • J.-P. Grivet, Méthodes numériques appliquées pour le scientifique et l'ingénieur, collection Grenoble Sciences, EDP Sciences. I wrote Chapter 13 on Partial Differential Equations. 2nd edition, 2013.

• Dissemination :
  

  • M. Ribot, B. Schapira, Journée parité en mathématiques du 6 juin 2011, La Gazette des Mathématiciens 130,  2011.
  • M. Ribot, B. Schapira, Journée parité en mathématiques du 6 juin 2011, MATAPLI 96,  2011.
  • Fabrice Planchon et Magali Ribot, La journée parité du 6 juin 2011 : bilan et perspectives. Images des Mathématiques, CNRS, 2011
    
  • S. Benzoni, S. Descombes, C. Poignard, M. Ribot, Michelle Schatzman 1949-2010, La Gazette des Mathématiciens 127,  2010.
  
  
  • S. Benzoni, S. Descombes, C. Poignard, M. Ribot, Michelle Schatzman 1949-2010, MATAPLI 93,  2010.
    
  
  
  • M. Ribot, Le recrutement des maîtres de conférences en mathématiques. Images des Mathématiques, CNRS, 2010.
  
  
  • Opération Postes : un peu plus de transparence dans les recrutements à l'université ?, Le Mensuel de l'Université, Février 2008.