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tel-03403382v1  Theses
Ghassen Haddad. Modélisation et optimisation du traitement du cancer
Cancer. Sorbonne Université; Université de Tunis El Manar, 2019. Français. ⟨NNT : 2019SORUS143⟩
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hal-00931399v1  Journal articles
Benoît Perthame, Min Tang, Nicolas Vauchelet. Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (13), pp.2601-2626
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hal-02515263v3  Journal articles
Noemi David, Benoît Perthame. Free boundary limit of tumor growth model with nutrient
Journal de Mathématiques Pures et Appliquées, Elsevier, 2021, 155, pp.62-82. ⟨10.1016/j.matpur.2021.01.007⟩
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hal-00751645v2  Journal articles
Nicolas Andre, Dominique Barbolosi, Frédérique Billy, Guillemette Chapuisat, Florence Hubert et al.  Mathematical model of cancer growth controled by metronomic chemotherapies
ESAIM: Proceedings and Surveys, EDP Sciences, 2013, 41, pp.77-94. ⟨10.1051/proc/201341004⟩
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hal-00831932v1  Journal articles
Benoît Perthame, Fernando Quirós, Juan-Luis Vázquez. The Hele-Shaw asymptotics for mechanical models of tumor growth
Archive for Rational Mechanics and Analysis, Springer Verlag, 2014, 212, pp.93-127. ⟨10.1007/s00205-013-0704-y⟩
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hal-01674142v1  Journal articles
Jean Clairambault, Benoît Perthame, Andrada Quillas Maran. Analysis of a system describing proliferative-quiescent cell dynamics
Chinese Annals of Mathematics - Series B, Springer Verlag, 2018, pp.1-13
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hal-01059766v1  Conference papers
Benoît Perthame. Some mathematical aspects of tumor growth and therapy
ICM 2014 - International Congress of Mathematicians, Aug 2014, Seoul, South Korea
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hal-01155696v1  Journal articles
Inwon C. Kim, Benoît Perthame, Panagiotis E. Souganidis. Free boundary problems for tumor growth: a viscosity solutions approach
Nonlinear Analysis: Theory, Methods and Applications, Elsevier, 2016, 138, pp.207-228. ⟨10.1016/j.na.2016.01.019⟩
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hal-01030762v1  Journal articles
Sepideh Mirrahimi, Benoît Perthame. Asymptotic analysis of a selection model with space
Journal de Mathématiques Pures et Appliquées, Elsevier, 2015, 104, pp.1108-1118
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hal-01241309v1  Journal articles
Antoine Mellet, Benoît Perthame, Fernando Quirós. A Hele-Shaw Problem for Tumor Growth
Journal of Functional Analysis, Elsevier, 2017, 273, pp.3061-3093
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hal-03636939v1  Preprints, Working Papers, ...
Noemi David. Phenotypic heterogeneity in a model of tumor growth: existence of solutions and incompressible limit
2022
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hal-01066494v1  Journal articles
Benoît Perthame, Nicolas 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⟩
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hal-00906168v1  Journal articles
Benoît Perthame, Fernando Quirós, Min Tang, Nicolas 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⟩
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hal-00685063v1  Journal articles
Min Tang, Nicolas Vauchelet, Ibrahim Cheddadi, Irene Vignon-Clementel, Dirk Drasdo et al.  Composite waves for a cell population system modelling tumor growth and invasion
Chinese Annals of Mathematics - Series B, Springer Verlag, 2013, 34B (2), pp.295-318. ⟨10.1007/s11401-007-0001-x⟩