Thomas Lepoutre

    Inria Rhone Alpes and Université Lyon 1

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Research

I am interested in partial differential equations, espacially those arising in biology. PHD Thesis : Analysis and modelling of growth and motion phenomenons from biology (the manuscript is available here).

Habilitation thesis : Contributions en dynamiques de populations (manuscript here, in French, here).

Publications (preprints available here ):

• V. Calvez, T. Lepoutre, and D. Poyato Ergodicity of the Fisher infinitesimal model with quadratic selection Nonlinear Analysis 238 113392 2024 bibtex

• Dariva, Kyriaki, and Lepoutre, Thomas Influence of the age structure on the stability in a tumor-immune model for chronic myeloid leukemia Math. Model. Nat. Phenom. 19 1 2024 link bibtex

• J. Garnier, O. Cotto, E. Bouin, T. Bourgeron, T. Lepoutre, O. Ronce, and V. Calvez Adaptation of a quantitative trait to a changing environment: New analytical insights on the asexual and infinitesimal sexual models Theoretical Population Biology 152 1-22 2023 bibtex

• T. Lepoutre, and N. Meunier Analysis of a model of cell crawling migration Communications in Mathematical sciences 20 1589 -1611 2022 bibtex

• E. Ventre, T. Espinasse, C.-E. Brehier, V. Calvez, T. Lepoutre, and O. Gandrillon Reduction of a stochastic model of gene expression: Lagrangian dynamics gives access to basins of attraction as cell types and metastabilty J. Math. Biol. 83 59 2021 link bibtex

• V. Calvez, T. Lepoutre, N. Meunier, and N. Muller Non-linear analysis of a model for yeast cell communication ESAIM: Mathematical Modelling and Numerical Analysis 2019 bibtex

• T. Lepoutre Improved duality estimates: time discrete case and applications to a class of cross-diffusion systems Communications in Mathematical sciences 17 339 -351 2019 link bibtex

• A. Besse, G. D. Clapp, S. Bernard, F. E. Nicolini, D. Levy, and T. Lepoutre Stability analysis of a model of interaction between the immune system and cancer cells in chronic myelogenous leukemia Bull. Math. Biol. 80 1084-1110 2018 bibtex

• A. Besse, T. Lepoutre, and S. Bernard Long-term treatment effects in chronic myeloid leukemia J. Math. Biol. 75 733-758 2017 link bibtex

• T. Lepoutre, and A. Moussa Entropic structure and duality for multiple species cross-diffusion systems Nonlinear Analysis 2017 link bibtex

• H. Berry, T. Lepoutre, and {\'A}. M. Gonz{\'a}lez Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for Subdiffusion Acta Applicandae Mathematicae 145 15-45 2016 link bibtex

• G. D. Clapp, T. Lepoutre, F. E. Nicolini, and D. Levy BCR-ABL transcript variations in chronic phase chronic myelogenous leukemia patients on imatinib first-line: Possible role of the autologous immune system OncoImmunology 5 e1122159 2016 link bibtex

• G. D. Clapp, T. Lepoutre, R. El Cheikh, S. Bernard, J. Ruby, H. Labussi{\`e}re-Wallet, F. E. Nicolini, and D. Levy Implication of the Autologous Immune System in BCR-ABL Transcript Variations in Chronic Myelogenous Leukemia Patients Treated with Imatinib. Cancer Res. 75 4053-4062 2015 link bibtex

• L. Desvillettes, T. Lepoutre, A. Moussa, and A. Trescases On the Entropic Structure of Reaction-Cross Diffusion Systems Communications in Partial Differential Equations 40 1705-1747 2015 link bibtex

• S. Gaubert, and T. Lepoutre Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model J. Math. Biol. 1-41 2015 link bibtex

• F. Billy, J. Clairambault, O. Fercoq, S. Gaubert, T. Lepoutre, T. Ouillon, and S. Saito Synchronisation and control of proliferation in cycling cell population models with age structure Math. Comput. Simul 96 66 - 94 2014 link bibtex

• L. Desvillettes, T. Lepoutre, and A. Moussa Entropy, Duality, and Cross Diffusion SIAM J. Math. Anal. 46 820-853 2014 link bibtex

• T. Lepoutre, and S. Martinez Steady state analysis for a relaxed cross diffusion model Discrete and Continuous Dynamical Systems - Series A 2 613-633 2014 bibtex

• T. Lepoutre, N. Meunier, and N. Muller Cell polarisation model: The 1D case Journal de Mathématiques Pures et Appliquées 101 152 - 171 2014 link bibtex

• F. Thomas et al. Applying ecological and evolutionary theory to cancer: a long and winding road Evol. Appl. 6 1-10 2013 bibtex

• R. El Cheikh, T. Lepoutre, and S. Bernard Modeling Biological Rhythms in Cell Populations Math. Model. Nat. Phenom. 7 107-125 2012 link bibtex

• T. Lepoutre, M. Pierre, and G. Rolland Global Well-Posedness of a Conservative Relaxed Cross Diffusion System SIAM Journal of Mathematical Analysis 44 1674-1693 2012 link bibtex

• J. Clairambault, S. Gaubert, and T. Lepoutre Circadian rhythm and cell population growth Math. Comput. Modelling 53 1558-1567 2011 link bibtex

• M. Bendahmane, T. Lepoutre, A. Marrocco, and B. Perthame Conservative cross diffusions and pattern formation through relaxation Journal de Mathématiques Pures et Appliqués 92 651 - 667 2009 link bibtex

• J. Clairambault, S. Gaubert, and T. Lepoutre Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models Math. Model. Nat. Phenom. 4 183-209 2009 link bibtex

• M. Doumic, T. Goudon, and T. Lepoutre Scaling limit of a discrete prion dynamics model Commun. Math. Sci. Volume 7, Issue 4 839-865 2009 bibtex