, Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy, Journal de Math??matiques Pures et Appliqu??es, 2016.
DOI : 10.1016/j.matpur.2017.10.007
URL : https://hal.archives-ouvertes.fr/hal-01416594
, Alexandre Escargueil, and Beno??tBeno??t Perthame. Effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors, 2013.
, A Modeling Language for Mathematical Programming, Management Science, vol.36, issue.5, pp.519-554, 2002.
DOI : 10.1287/mnsc.36.5.519
, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, vol.10, issue.1, pp.25-57, 2006.
DOI : 10.1007/BFb0120945
, Optimal Control and Applications to Aerospace: Some Results and Challenges, Journal of Optimization Theory and Applications, vol.21, issue.1, pp.713-758, 2012.
DOI : 10.1016/0005-1098(85)90107-4
, Continuation from a flat to a round Earth model in the coplanar orbit transfer problem, Optimal Control Applications and Methods, vol.106, issue.4, pp.654-675, 2012.
DOI : 10.2514/8.8208
URL : https://hal.archives-ouvertes.fr/hal-00542967
, -minimization, ESAIM: Mathematical Modelling and Numerical Analysis, vol.38, issue.3, pp.965-996, 2017.
DOI : 10.2514/1.G001080
, Homotopy method for minimum consumption orbit transfer problem, ESAIM: Control, Optimisation and Calculus of Variations, vol.23, issue.2, pp.294-310, 2006.
DOI : 10.1145/279232.279235
URL : https://hal.archives-ouvertes.fr/hal-00367592
, Minimum fuel control of the planar circular restricted three-body problem, Celestial Mechanics and Dynamical Astronomy, vol.6, issue.3, pp.137-150, 2012.
DOI : 10.1137/060663374
URL : https://hal.archives-ouvertes.fr/hal-00743098
, Priv-Doz Dr Hans Josef Pesch, and Dipl Math Oskar von Stryk. Combining direct and indirect methods in optimal control: Range maximization of a hang glider, Optimal control, pp.273-288, 1993.
, A practical guide to the solution of real-life optimal control problems, Control and cybernetics, vol.23, issue.12, 1994.
, Direct and indirect methods for trajectory optimization, Annals of Operations Research, vol.9, issue.6, pp.357-373, 1992.
DOI : 10.1007/978-3-642-51636-8
, A beginner's guide to adaptive dynamics, Mathematical Modelling of Population Dynamics, pp.47-86, 2004.
DOI : 10.4064/bc63-0-2
URL : http://www.math.ens.fr/equipes/edp/biomath/diekmann14012003.pdf
, The dynamics of adaptation: An illuminating example and a Hamilton???Jacobi approach, Theoretical Population Biology, vol.67, issue.4, pp.257-271, 2005.
DOI : 10.1016/j.tpb.2004.12.003
, Transport equations in biology, 2006.
, Cell population heterogeneity and evolution towards drug resistance in cancer: Biological and mathematical assessment, theoretical treatment optimisation, BBA) -General Subjects, pp.18602627-2645, 2016.
DOI : 10.1016/j.bbagen.2016.06.009
URL : https://hal.archives-ouvertes.fr/hal-01321535
, Optimal Control for Mathematical Models of Cancer Therapies, 2015.
DOI : 10.1007/978-1-4939-2972-6
, Optimal chemical control of populations developing drug resistance, Mathematical Medicine and Biology, vol.9, issue.3, pp.215-226, 1992.
DOI : 10.1093/imammb/9.3.215
, Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance, Tutorials in Mathematical Biosciences III, pp.185-221, 2006.
DOI : 10.1007/11561606_5
, Drug resistance in cancer chemotherapy as an optimal control problem, Discrete and Continuous Dynamical Systems Series B, vol.6, issue.1, p.129, 2006.
, ON OPTIMAL CHEMOTHERAPY FOR HETEROGENEOUS TUMORS, Journal of Biological Systems, vol.59, issue.02, pp.177-197, 2014.
DOI : 10.1007/s00285-011-0424-6
, Optimization of an in vitro chemotherapy to avoid resistant tumours, Journal of Theoretical Biology, vol.413, pp.24-33, 2017.
DOI : 10.1016/j.jtbi.2016.11.009
, Populational adaptive evolution, chemotherapeutic resistance and multiple anticancer therapies, ESAIM: Mathematical Modelling and Numerical Analysis, issue.02, pp.47377-399, 2013.
DOI : 10.1051/m2an/2012031
URL : https://hal.archives-ouvertes.fr/hal-00714274
, The Impact of Cell Density and Mutations in a Model of Multidrug Resistance in Solid Tumors, Bulletin of Mathematical Biology, vol.14, issue.1, pp.627-653, 2014.
DOI : 10.1016/j.gde.2003.12.005
, Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments, Journal of Theoretical Biology, vol.386, pp.166-176, 2015.
DOI : 10.1016/j.jtbi.2015.08.031
URL : https://hal.archives-ouvertes.fr/hal-01237890
, Modeling the Effects of Space Structure and Combination Therapies on Phenotypic Heterogeneity and Drug Resistance in Solid Tumors, Bulletin of Mathematical Biology, vol.65, issue.1, pp.1-22, 2015.
DOI : 10.1002/(SICI)1097-0215(19960126)65:3<365::AID-IJC15>3.0.CO;2-9
URL : https://hal.archives-ouvertes.fr/hal-00921266
, Optimal control theory for infinite dimensional systems, 2012.
DOI : 10.1007/978-1-4612-4260-4
, Concentration phenomenon in some non-local equation, Discrete and Continuous Dynamical Systems - Series B, vol.22, issue.3, 2015.
DOI : 10.3934/dcdsb.2017037
URL : https://hal.archives-ouvertes.fr/hal-01212846
, The Influence of Fractional Diffusion in Fisher-KPP Equations, Communications in Mathematical Physics, vol.185, issue.1, pp.679-722, 2013.
DOI : 10.1007/978-1-4612-5561-1
, Convergence to equilibrium for positive solutions of some mutation-selection model, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00855334
, Effects of an advection term in nonlocal lotka?volterra equations, Communications in Mathematical Sciences, vol.14, issue.4, pp.1181-1188, 2016.