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).
T. Lepoutre, and N. Meunier
Analysis of a model of cell crawling migrationCommunications in Mathematical sciences20
1589 -1611
2022
bibtex
E. Ventre, T. Espinasse, C.-E. Bréhier, 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 metastabiltyJournal of Mathematical Biology83
59
2021
linkbibtex
V. Calvez, T. Lepoutre, N. Meunier, and N. Muller
Non-linear analysis of a model for yeast cell communicationESAIM: Mathematical Modelling and Numerical Analysis
2019
bibtex
T. Lepoutre
Improved duality estimates: time discrete case and applications to a class of cross-diffusion systemsCommunications in Mathematical sciences17
339 -351
2019
linkbibtex
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 CMLBulletin of Mathematical Biology
2017
bibtex
A. Besse, T. Lepoutre, and S. Bernard
Long-term treatment effects in chronic myeloid leukemiaJournal of Mathematical Biology75
733-758
2017
linkbibtex
T. Lepoutre, and A. Moussa
Entropic structure and duality for multiple species cross-diffusion systemsNonlinear Analysis
2017
linkbibtex
H. Berry, T. Lepoutre, and {\'A}. M. Gonz{\'a}lez
Quantitative Convergence Towards a Self-Similar Profile in an Age-Structured Renewal Equation for SubdiffusionActa Applicandae Mathematicae145
15-45
2016
linkbibtex
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 systemOncoImmunology5
e1122159
2016
linkbibtex
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 Res75
4053-4062
2015
linkbibtex
L. Desvillettes, T. Lepoutre, A. Moussa, and A. Trescases
On the Entropic Structure of Reaction-Cross Diffusion SystemsCommunications in Partial Differential Equations40
1705-1747
2015
linkbibtex
S. Gaubert, and T. Lepoutre
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle modelJournal of Mathematical Biology
1-41
2015
linkbibtex
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 structureMathematics and Computers in Simulation96
66 - 94
2014
linkbibtex
L. Desvillettes, T. Lepoutre, and A. Moussa
Entropy, Duality, and Cross DiffusionSIAM Journal on Mathematical Analysis46
820-853
2014
linkbibtex
T. Lepoutre, and S. Martinez
Steady state analysis for a relaxed cross diffusion modelDiscrete and Continuous Dynamical Systems - Series A2
613-633
2014
bibtex
T. Lepoutre, N. Meunier, and N. Muller
Cell polarisation model: The 1D caseJournal de Mathématiques Pures et Appliquées101
152 - 171
2014
linkbibtex
F. Thomas et al.
Applying ecological and evolutionary theory to cancer: a long and winding roadEvolutionary Applications6
1-10
2013
bibtex
R. El Cheikh, T. Lepoutre, and S. Bernard
Modeling Biological Rhythms in Cell PopulationsMath. Model. Nat. Phenom.7
107-125
2012
linkbibtex
T. Lepoutre, M. Pierre, and G. Rolland
Global Well-Posedness of a Conservative Relaxed Cross Diffusion SystemSIAM Journal of Mathematical Analysis44
1674-1693
2012
linkbibtex
J. Clairambault, S. Gaubert, and T. Lepoutre
Circadian rhythm and cell population growthMath. Comput. Modelling53
1558-1567
2011
linkbibtex
M. Bendahmane, T. Lepoutre, A. Marrocco, and B. Perthame
Conservative cross diffusions and pattern formation through relaxationJournal de Mathématiques Pures et Appliqués92
651 - 667
2009
linkbibtex
J. Clairambault, S. Gaubert, and T. Lepoutre
Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle ModelsMath. Model. Nat. Phenom.4
183-209
2009
linkbibtex
M. Doumic, T. Goudon, and T. Lepoutre
Scaling limit of a discrete prion dynamics modelCommun. Math. Sci.Volume 7, Issue 4
839-865
2009
bibtex