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hal-00939013v1  Journal articles
Michal KolwalczykBenoît PerthameNicolas Vauchelet. Transversal instability for the thermodiffusive reaction-diffusion system
Chinese Annals of Mathematics - Series B, Springer Verlag, 2015, 36 (5), pp.871-882. ⟨10.1007/s11401-015-0981-x⟩
hal-01984371v1  Journal articles
Di FangShi JinPeter MarkowichBenoît Perthame. Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.229-249. ⟨10.5802/smai-jcm.59⟩
hal-01149029v3  Journal articles
Benoît PerthamePanagiotis E. Souganidis. Rare mutations limit of a steady state dispersal evolution model
Mathematical Modelling of Natural Phenomena, EDP Sciences, 2016, 11 (4), ⟨10.1051/mmnp/201611411⟩
hal-01584754v1  Journal articles
Benoît PerthameWeiran SunMin Tang. The fractional diffusion limit of a kinetic model with biochemical pathway
Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, 2018, 69:67, ⟨10.1007/s00033-018-0964-3⟩
hal-01674142v1  Journal articles
Jean ClairambaultBenoît PerthameAndrada Quillas Maran. Analysis of a system describing proliferative-quiescent cell dynamics
Chinese Annals of Mathematics - Series B, Springer Verlag, 2018, pp.1-13
hal-00789064v1  Journal articles
Jonathan SaragostiVincent CalvezNikolaos BournaveasBenoît PerthameAxel Buguin et al.  Directional persistence of chemotactic bacteria in a traveling concentration wave
Proceedings of the National Academy of Sciences of the United States of America , National Academy of Sciences, 2011, 108 (39), pp.16235-16240. ⟨10.1073/pnas.1101996108⟩
hal-00440108v1  Journal articles
Jonathan SaragostiVincent CalvezNikolaos BournaveasAxel BuguinPascal Silberzan et al.  Mathematical description of bacterial traveling pulses
PLoS Computational Biology, Public Library of Science, 2010, ⟨10.1371/journal.pcbi.1000890⟩
hal-02194421v1  Journal articles
Benoît PerthameWeiran SunMin TangShugo Yasuda. Multiple asymptotics of kinetic equations with internal states
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2020, 30 (06), ⟨10.1142/S0218202520400060⟩
hal-00871608v1  Journal articles
Magali TournusNicolas SeguinBenoît PerthameS. Randal ThomasAurélie Edwards. A model of calcium transport along the rat nephron
American Journal of Physiology, American Physiological Society, 2013, 305, pp.F979-F994. ⟨10.1152/ajprenal.00696.2012⟩
hal-00906168v1  Journal articles
Benoît PerthameFernando QuirósMin TangNicolas Vauchelet. Derivation of a Hele-Shaw type system from a cell model with active motion
Interfaces and Free Boundaries, European Mathematical Society, 2014, 14 (4), pp.489-508. ⟨10.4171/IFB/327⟩
hal-01374730v1  Journal articles
Benoît PerthameAlexis Vasseur. Regularization in Keller-Segel type systems and the De Giorgi method
Communications in Mathematical Sciences, International Press, 2012, 10 (2), pp.463 - 476. ⟨10.4310/CMS.2012.v10.n2.a2⟩
hal-02981952v1  Journal articles
Luís AlmeidaPierre-Alexandre BlimanGrégoire NadinBenoît PerthameNicolas Vauchelet. Final size and convergence rate for an epidemic in heterogeneous population
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2021, 31 (05), pp.1021-1051
hal-01066494v1  Journal articles
Benoît PerthameNicolas Vauchelet. Incompressible limit of mechanical model of tumor growth with viscosity
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990), Royal Society, The, 2015, 373, pp.20140283. ⟨10.1098/rsta.2014.0283⟩
hal-01520145v2  Journal articles
Christopher HendersonBenoît PerthamePanagiotis Souganidis. Super-linear propagation for a general, local cane toads model
Interfaces and Free Boundaries, European Mathematical Society, 2018, 20 (4), pp.483-509. ⟨10.4171/IFB/409⟩
hal-00605109v2  Journal articles
Magali TournusAurélie EdwardsNicolas SeguinBenoît Perthame. Analysis of a simplified model of the urine concentration mechanism
Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2012, 7 (4), pp.989-1018. ⟨10.3934/nhm.2012.7.989⟩