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A chemotaxis model motivated by angiogenesis

L Corrias , Benoît Perthame , Hatem Zaag
Comptes Rendus. Mathématique, 2003, 336 (2), pp.141-146. ⟨10.1016/S1631-073X(02)00008-0⟩
Article dans une revue istex hal-02326144v1
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Two-dimensional Keller-Segel model: Optimal critical mass and qualitative properties of the solutions

Adrien Blanchet , Jean Dolbeault , Benoît Perthame
Electronic Journal of Differential Equations, 2006, 44, 32 pp
Article dans une revue hal-00021782v1
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An age-and-cyclin-structured cell population model with proliferation and quiescence for healthy and tumoral tissues

Fadia Bekkal Brikci , Jean Clairambault , Benjamin Ribba , Benoît Perthame
[Research Report] RR-5941, INRIA. 2006
Rapport inria-00081301v2
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Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility

Tommaso Lorenzi , Benoît Perthame , Xinran Ruan
European Journal of Applied Mathematics, 2022, pp.1-18. ⟨10.1017/S0956792521000218⟩
Article dans une revue hal-03611324v1

Models of self organizing bacterial communities and comparisons with experimental observations

A. Marrocco , H. Henry , I. B. Holland , M. Plapp , S. J. Séror , et al.
Mathematical Modelling of Natural Phenomena, 2010, 5, pp.148-162. ⟨10.1051/mmnp/20105107⟩
Article dans une revue hal-00603847v1
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Schémas d'équilibre pour des lois de conservation scalaires avec des termes sources raides

Ramaz Botchorishvili , Benoît Perthame , Alexis Vasseur
[Rapport de recherche] RR-3891, INRIA. 2000
Rapport inria-00072763v1
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Asymptotic analysis of a selection model with space

Sepideh Mirrahimi , Benoît Perthame
Journal de Mathématiques Pures et Appliquées, 2015, 104, pp.1108-1118
Article dans une revue hal-01030762v1

Circadian rhythm and tumour growth

Jean Clairambault , Philippe Michel , Benoît Perthame
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 342, pp.17-22
Article dans une revue hal-00113511v1
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Bernoulli variational problem and beyond

Alexander Lorz , Peter Markowich , Benoît Perthame
Archive for Rational Mechanics and Analysis, 2014, 212, pp.415-443. ⟨10.1007/s00205-013-0707-8⟩
Article dans une revue hal-00881760v1
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Waves for an hyperbolic Keller-Segel model and branching instabilities

Fiammetta Cerreti , Benoît Perthame , Christian Schmeiser , Min Tang , Nicolas Vauchelet
2010
Pré-publication, Document de travail inria-00490893v2
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On the Inverse Problem for a Size-Structured Population Model

Benoît Perthame , Jorge Zubelli
2006
Pré-publication, Document de travail hal-00110904v1
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Rare mutations limit of a steady state dispersal evolution model

Benoît Perthame , Panagiotis E. Souganidis
Mathematical Modelling of Natural Phenomena, 2016, 11 (4), ⟨10.1051/mmnp/201611411⟩
Article dans une revue hal-01149029v3
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A Hele-Shaw Problem for Tumor Growth

Antoine Mellet , Benoît Perthame , Fernando Quirós
Journal of Functional Analysis, 2017, 273, pp.3061-3093
Article dans une revue hal-01241309v1
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Employee turnover prediction and retention policies design: a case study

Edouard Ribes , Karim Touahri , Benoît Perthame
2017
Pré-publication, Document de travail hal-01556746v1
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Super-linear propagation for a general, local cane toads model

Christopher Henderson , Benoît Perthame , Panagiotis E Souganidis
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2018, 20 (4), pp.483-509. ⟨10.4171/IFB/409⟩
Article dans une revue hal-01520145v2
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Adaptive dynamics of hematopoietic stem cells and their supporting stroma: A model and mathematical analysis

Thanh Nam Nguyen , Jean Clairambault , Thierry Jaffredo , Benoît Perthame , Delphine Salort
Mathematical Biosciences and Engineering, 2019, 16 (05), pp.4818-4845. ⟨10.3934/mbe.2019243⟩
Article dans une revue hal-01963820v2
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Strategic Workforce Planning and sales force : a demographic approach to productivity

Marie Doumic , Mathieu Mezache , Benoît Perthame , Edouard Ribes , Delphine Salort
2017
Pré-publication, Document de travail hal-01449812v1

Dynamics of time elapsed inhomogeneous neuron network model

Moon-Jin Kang , Benoît Perthame , Delphine Salort
Comptes Rendus. Mathématique, 2015, 353, pp.1111-1115. ⟨10.1016/j.crma.2015.09.029⟩
Article dans une revue hal-01241300v1
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Introduction to the theory of random particle methods for Boltzmann equation

Benoît Perthame
[Research Report] RR-2218, INRIA. 1994
Rapport inria-00074452v1
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Transport costs for PDEs: the coupling method

Nicolas Fournier , Benoît Perthame
EMS Surveys in Mathematical Sciences, 2020, 7 (1), pp.1-31. ⟨10.4171/EMSS/35⟩
Article dans une revue hal-02080155v2
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Bimodality, prion aggregates infectivity and prediction of strain phenomenon

Vincent Calvez , Natacha Lenuzza , Dietmar Oelz , Jean-Philippe Deslys , Pascal Laurent , et al.
2008
Pré-publication, Document de travail hal-00255790v1
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Long-time asymptotics for polymerization models

Juan Calvo , Marie Doumic , Benoît Perthame
Communications in Mathematical Physics, 2018, 363 (1), pp.111-137. ⟨10.1007/s00220-018-3218-5⟩
Article dans une revue hal-01570292v2
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Concentration in Lotka-Volterra parabolic or integral equations: a general convergence result

Guy Barles , Sepideh Mirrahimi , Benoît Perthame
2009
Pré-publication, Document de travail hal-00391982v1
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Modelling targets for anticancer drug control optimisation in physiologically structured cell population models

Frédérique Billy , Jean Clairambault , Olivier Fercoq , Tommaso Lorenzi , Alexander Lorz , et al.
ICNAAM 2012 - 10th international conference of numerical analysis and applied mathematics, Simos, Thodoros, Sep 2012, Kos, Greece. pp.1323-1326, ⟨10.1063/1.4756399⟩
Communication dans un congrès hal-00780721v1
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Relaxation of the Cahn-Hilliard equation with singular single-well potential and degenerate mobility

Benoît Perthame , Alexandre Poulain
European Journal of Applied Mathematics, 2020, ⟨10.1017/S0956792520000054⟩
Article dans une revue hal-02274417v4
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Wasserstein contraction for the stochastic Morris-Lecar neuron model

Maxime Herda , Pierre Monmarché , Benoît Perthame
2024
Pré-publication, Document de travail hal-04170316v2

Fast reaction limit with nonmonotone reaction function

Benoît Perthame , Jakub Skrzeczkowski
Communications on Pure and Applied Mathematics, 2022, ⟨10.1002/cpa.22042⟩
Article dans une revue hal-02922284v1
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A simple derivation of BV bounds for inhomogeneous relaxation systems

Benoît Perthame , Nicolas Seguin , Magali Tournus
Communications in Mathematical Sciences, 2014, 13 (2), pp.577-586
Article dans une revue hal-00974269v1

Invariants and exponential rate of convergence to steady state in the renewal equation

P. Gwiazda , Benoît Perthame
Markov Processes And Related Fields, 2006, 12, pp.413-424
Article dans une revue hal-00113528v1
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Dirac concentrations in a chemostat model of adaptive evolution

Alexander Lorz , Benoît Perthame , Cécile Taing
Chinese Annals of Mathematics - Series B, 2017
Article dans une revue hal-01255449v1