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Improved duality estimates: time discrete case and applications to a class of cross-diffusion systems

Thomas Lepoutre
Communications in Mathematical Sciences, 2019, 17 (2), pp.339 - 351. ⟨10.4310/CMS.2019.v17.n2.a2⟩
Article dans une revue hal-01943576v1
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Conservative cross diffusions and pattern formation through relaxation

Mostafa Bendahmane , Thomas Lepoutre , Americo Marrocco , Benoît Perthame
2009
Autre publication scientifique inria-00368595v1

Entropy, Duality and Cross Diffusion

Laurent Desvillettes , Thomas Lepoutre , Ayman Moussa
SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.820-853. ⟨10.1137/130908701⟩
Article dans une revue hal-00785379v1
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Contributions en dynamique de populations

Thomas Lepoutre
Equations aux dérivées partielles [math.AP]. Université Claude Bernard (Lyon 1), 2017
HDR tel-01524261v1
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Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model

Stéphane Gaubert , Thomas Lepoutre
Journal of Mathematical Biology, 2015, 71 (6), ⟨10.1007/s00285-015-0874-3⟩
Article dans une revue hal-00773211v1
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Existence of recombination-selection equilibria for sexual populations

Thibault Bourgeron , Vincent Calvez , Jimmy Garnier , Thomas Lepoutre
2017
Pré-publication, Document de travail hal-01489695v2
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Scaling limit of a discrete prion dynamics model

Marie Doumic , Thierry Goudon , Thomas Lepoutre
Communications in Mathematical Sciences, 2009, 7 (4), ⟨10.4310/CMS.2009.v7.n4.a3⟩
Article dans une revue inria-00403914v1
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Applying ecological and evolutionary theory to cancer: a long and winding road

Frédéric Thomas , Daniel Fisher , Philippe Fort , Jean-Pierre Marie , Simon Daoust , et al.
Evolutionary Applications, 2013, 6 (1), pp.1-10. ⟨10.1111/eva.12021⟩
Article dans une revue halsde-00790602v1
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On the entropic structure of reaction-cross diffusion systems

L Desvillettes , Th Lepoutre , Ayman Moussa , A Trescases
Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.998837⟩
Article dans une revue hal-01078175v1
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Implication of the Autologous Immune System in BCR-ABL Transcript Variations in Chronic Myelogenous Leukemia Patients Treated with Imatinib.

Geoffrey D Clapp , Thomas Lepoutre , Raouf El Cheikh , Samuel Bernard , Jérémy Ruby , et al.
Cancer Research, 2015, 75 (19), pp.4053-62. ⟨10.1158/0008-5472.CAN-15-0611⟩
Article dans une revue hal-01251396v1
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Cell polarisation model : the 1D case

Thomas Lepoutre , Nicolas Meunier , Nicolas Muller
Journal de Mathématiques Pures et Appliquées, 2014, 101 (2), pp.152--171. ⟨10.1016/j.matpur.2013.05.006⟩
Article dans une revue hal-00776613v1
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Analyse et modélisation de phénomènes de croissance et mouvement issus de la biologie

Thomas Lepoutre
Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2009. Français. ⟨NNT : ⟩
Thèse tel-00457561v1
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Travelling waves for a fast reaction limit of a discrete coagulation-fragmentation model with diffusion and proliferation

Maxime Estavoyer , Thomas Lepoutre
2024
Pré-publication, Document de travail hal-04516285v2
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Influence of the age structure on the stability in a tumor-immune model for chronic myeloid leukemia

Kyriaki Dariva , Thomas Lepoutre
Mathematical Modelling of Natural Phenomena, 2023, 54 (2), pp.619-648. ⟨10.1051/mmnp/2023034⟩
Article dans une revue hal-03128770v1
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Global well-posedness of a conservative relaxed cross diffusion system.

Thomas Lepoutre , Michel Pierre , Guillaume Rolland
SIAM Journal on Mathematical Analysis, 2012, 44 (3), pp.1674-1693. ⟨10.1137/110848839⟩
Article dans une revue hal-00683006v1
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Entropic structure and duality for multiple species cross-diffusion systems

Thomas Lepoutre , Ayman Moussa
Nonlinear Analysis: Theory, Methods and Applications, 2017, 159, ⟨10.1016/j.na.2017.02.008⟩
Article dans une revue hal-01373172v1
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Comparison of Perron and Floquet Eigenvalues in Age Structured Cell Division Cycle Models

Jean Clairambault , Stéphane Gaubert , Thomas Lepoutre
Mathematical Modelling of Natural Phenomena, 2009, 4 (3), pp.183-209. ⟨10.1051/mmnp/20094308⟩
Article dans une revue hal-00344039v1

Steady state analysis for a relaxed cross diffusion model

Thomas Lepoutre , Salome Martinez
Discrete and Continuous Dynamical Systems - Series A, 2013, 34 (2), pp.613-633. ⟨10.3934/dcds.2014.34.613⟩
Article dans une revue hal-00857467v1
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Synchronisation and control of proliferation in cycling cell population models with age structure

Frédérique Billy , Jean Clairambault , Olivier Fercoq , Stéphane Gaubert , Thomas Lepoutre , et al.
Mathematics and Computers in Simulation, 2014, 96, pp.66-94. ⟨10.1016/j.matcom.2012.03.005⟩
Article dans une revue hal-00662885v1
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Ergodicity of the Fisher infinitesimal model with quadratic selection

Vincent Calvez , Thomas Lepoutre , David Poyato
Nonlinear Analysis: Theory, Methods and Applications, 2024, 238, pp.113392. ⟨10.1016/j.na.2023.113392⟩
Article dans une revue hal-03274734v2
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Quantitative convergence towards a self similar profile in an age-structured renewal equation for subdiffusion

Hugues Berry , Thomas Lepoutre , Álvaro Mateos González
Acta Applicandae Mathematicae, 2016, 145, pp.15-45
Article dans une revue hal-01136667v1
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Circadian rhythm and cell population growth

Jean Clairambault , Stephane Gaubert , Thomas Lepoutre
2010
Pré-publication, Document de travail hal-00492983v1
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Analysis of a model of cell crawling migration

Thomas Lepoutre , Nicolas Meunier
Communications in Mathematical Sciences, 2022, 20 (6), pp.1589-1611. ⟨10.4310/CMS.2022.v20.n6.a6⟩
Article dans une revue hal-03779089v1

Reduction of a stochastic model of gene expression: Lagrangian dynamics gives access to basins of attraction as cell types and metastabilty

Elias Ventre , Thibault Espinasse , Charles-Edouard Bréhier , Vincent Calvez , Thomas Lepoutre , et al.
Journal of Mathematical Biology, 2021, 83 (59), ⟨10.1007/s00285-021-01684-1⟩
Article dans une revue hal-03243421v1
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Non-linear analysis of a model for yeast cell communication

Vincent Calvez , Thomas Lepoutre , Nicolas Meunier , Nicolas Muller
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (2), pp.619 - 648. ⟨10.1051/m2an/2019065⟩
Article dans une revue hal-02372511v1
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Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models.

Jimmy Garnier , Olivier Cotto , Emeric Bouin , Thibault Bourgeron , Thomas Lepoutre , et al.
Theoretical Population Biology, 2023, 152, pp.1-22. ⟨10.1016/j.tpb.2023.04.002⟩
Article dans une revue hal-03702032v4
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Stability Analysis of a Model of Interaction Between the Immune System and Cancer Cells in Chronic Myelogenous Leukemia

Apollos Besse , Geoffrey D. Clapp , Samuel Bernard , Franck-Emmanuel Nicolini , Doron Levy , et al.
Bulletin of Mathematical Biology, 2017, pp.1-27. ⟨10.1007/s11538-017-0272-7⟩
Article dans une revue hal-01539364v1

Modeling Biological Rhythms in Cell Populations

Raouf El Cheikh , Thomas Lepoutre , Samuel Bernard
Mathematical Modelling of Natural Phenomena, 2012, 7 (6), pp.107--125. ⟨10.1051/mmnp/20127606⟩
Article dans une revue hal-00847008v1
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Long-term treatment effects in chronic myeloid leukemia

Apollos Besse , Thomas Lepoutre , Samuel Bernard
Journal of Mathematical Biology, 2017, pp.1-26. ⟨10.1007/s00285-017-1098-5⟩
Article dans une revue hal-01447781v1