Publications by authors named "Benoit Perthame"

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Strongly nonlinear age-structured equation, time-elapsed model and large delays.
Benoît Perthame, Clément Rieutord, Delphine Salort

J Math Biol· October 2025

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A Model for Membrane Degradation Using a Gelatin Invadopodia Assay.
Giorgia Ciavolella, Nathalie Ferrand, Michéle Sabbah, Benoît Perthame, Roberto Natalini

Bull Math Biol· February 2024

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Oscillatory regimes in a mosquito population model with larval feedback on egg hatching.
Martin Strugarek, Laetitia Dufour, Nicolas Vauchelet, Luis Almeida, Benoît Perthame

J Biol Dyn· December 2019

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A chemotaxis-based explanation of spheroid formation in 3D cultures of breast cancer cells.
Federica Bubba, Camille Pouchol, Nathalie Ferrand, Guillaume Vidal, Luis Almeida, Benoît Perthame

J Theor Biol· October 2019

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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

Math Biosci Eng· May 2019

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Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway.
Benoît Perthame, Min Tang, Nicolas Vauchelet

J Math Biol· November 2016

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Incompressible limit of a mechanical model of tumour growth with viscosity.
Benoît Perthame, Nicolas Vauchelet

Philos Trans A Math Phys Eng Sci· September 2015

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Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors.
Alexander Lorz, Tommaso Lorenzi, Jean Clairambault, Alexandre Escargueil, Benoît Perthame

Bull Math Biol· January 2015

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Adaptation and fatigue model for neuron networks and large time asymptotics in a nonlinear fragmentation equation.
Khashayar Pakdaman, Benoît Perthame, Delphine Salort

J Math Neurosci· August 2014

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Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity.
María J Cáceres, Benoît Perthame

J Theor Biol· June 2014

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Direct competition results from strong competition for limited resource.
Sepideh Mirrahimi, Benoît Perthame, Joe Yuichiro Wakano

J Math Biol· March 2014

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Flux-limited equations arising in biology: comment on "Morphogenetic action through flux-limited spreading" by M. Verbeni et al.
Benoît Perthame

Phys Life Rev· December 2013

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A model of calcium transport along the rat nephron.
Magali Tournus, Nicolas Seguin, Benoît Perthame, S Randall Thomas, Aurélie Edwards

Am J Physiol Renal Physiol· October 2013

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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, Benoit Perthame

Evol Appl· January 2013

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Evolution of species trait through resource competition.
Sepideh Mirrahimi, Benoît Perthame, Joe Yuichiro Wakano

J Math Biol· June 2012

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Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states.
María J Cáceres, José A Carrillo, Benoît Perthame

J Math Neurosci· July 2011

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Stability analysis of a simplified yet complete model for chronic myelogenous leukemia.
Marie Doumic-Jauffret, Peter S Kim, Benoît Perthame

Bull Math Biol· October 2010

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Survival thresholds and mortality rates in adaptive dynamics: conciliating deterministic and stochastic simulations.
Benoît Perthame, Mathias Gauduchon

Math Med Biol· September 2010

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Mathematical description of bacterial traveling pulses.
Jonathan Saragosti, Vincent Calvez, Nikolaos Bournaveas, Axel Buguin, Pascal Silberzan, Benoît Perthame

PLoS Comput Biol· August 2010

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Size distribution dependence of prion aggregates infectivity.
Vincent Calvez, Natacha Lenuzza, Dietmar Oelz, Jean-Philippe Deslys, Pascal Laurent, Benoît Perthame

Math Biosci· January 2009

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An age-and-cyclin-structured cell population model for healthy and tumoral tissues.
Fadia Bekkal Brikci, Jean Clairambault, Benjamin Ribba, Benoît Perthame

J Math Biol· July 2008

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Adaptive dynamics via Hamilton-Jacobi approach and entropy methods for a juvenile-adult model.
José Antonio Carrillo, Sílvia Cuadrado, Benoît Perthame

Math Biosci· January 2007

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The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach.
Odo Diekmann, Pierre-Emanuel Jabin, Stéphane Mischler, Benoît Perthame

Theor Popul Biol· June 2005

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Derivation of hyperbolic models for chemosensitive movement.
Francis Filbet, Philippe Laurençot, Benoît Perthame

J Math Biol· February 2005

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