Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
ESAIM: M2AN, 53 4 (2019) 1157-1190
Published online: 2019-07-04
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Long-time behaviour of an advection-selection equation
Jules Guilberteau, Camille Pouchol and Nastassia Pouradier DuteilDiscrete and Continuous Dynamical Systems - B (2024)
https://doi.org/10.3934/dcdsb.2023214
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
Zuzanna Szymańska, Mirosław Lachowicz, Nikolaos Sfakianakis and Mark A.J. ChaplainJournal of Computational Science 75 102175 (2024)
https://doi.org/10.1016/j.jocs.2023.102175
Dosage optimization for reducing tumor burden using a phenotype-structured population model with a drug-resistance continuum
Lifeng Han, Osman N Yogurtcu, Marisabel Rodriguez Messan, Wencel Valega-Mackenzie, Ujwani Nukala and Hong YangMathematical Medicine and Biology: A Journal of the IMA 41 (1) 35 (2024)
https://doi.org/10.1093/imammb/dqae003
The development of drug resistance in metastatic tumours under chemotherapy: An evolutionary perspective
Federica Padovano and Chiara VillaJournal of Theoretical Biology 595 111957 (2024)
https://doi.org/10.1016/j.jtbi.2024.111957
Phenotype-structured model of intra-clonal heterogeneity and drug resistance in multiple myeloma
Anass Bouchnita and Vitaly VolpertJournal of Theoretical Biology 576 111652 (2024)
https://doi.org/10.1016/j.jtbi.2023.111652
Effective dose window for containing tumor burden under tolerable level
M. A. Masud, Jae-Young Kim and Eunjung Kimnpj Systems Biology and Applications 9 (1) (2023)
https://doi.org/10.1038/s41540-023-00279-4
A phenotype-structured model for the tumour-immune response
Zineb Kaid, Camille Pouchol and Jean ClairambaultMathematical Modelling of Natural Phenomena 18 22 (2023)
https://doi.org/10.1051/mmnp/2023025
1 (2023)
https://doi.org/10.23919/ECC57647.2023.10178266
(2023)
https://doi.org/10.2139/ssrn.4349308
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit
Noemi DavidCommunications in Partial Differential Equations 48 (4) 678 (2023)
https://doi.org/10.1080/03605302.2023.2191265
247 (2022)
https://doi.org/10.23919/ECC55457.2022.9838039
Optimal chemotherapy counteracts cancer adaptive resistance in a cell-based, spatially-extended, evolutionary model
Matteo Italia, Fabio Dercole and Roberto LucchettiPhysical Biology 19 (2) 026004 (2022)
https://doi.org/10.1088/1478-3975/ac509c
Nonlocal Reaction–Diffusion Equations in Biomedical Applications
M. Banerjee, M. Kuznetsov, O. Udovenko and V. VolpertActa Biotheoretica 70 (2) (2022)
https://doi.org/10.1007/s10441-022-09436-4
Cancer, Complexity, Computation
Guillermo Lorenzo, David A. Hormuth II, Angela M. Jarrett, et al.Emergence, Complexity and Computation, Cancer, Complexity, Computation 46 55 (2022)
https://doi.org/10.1007/978-3-031-04379-6_3
Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation
Jan-Erik Busse, Sílvia Cuadrado and Anna Marciniak-CzochraJournal of Mathematical Biology 84 (1-2) (2022)
https://doi.org/10.1007/s00285-021-01708-w
Quantification of long-term doxorubicin response dynamics in breast cancer cell lines to direct treatment schedules
Grant R. Howard, Tyler A. Jost, Thomas E. Yankeelov, Amy Brock and Stacey FinleyPLOS Computational Biology 18 (3) e1009104 (2022)
https://doi.org/10.1371/journal.pcbi.1009104
Adaptation to DNA Damage, an Asymptotic Approach for a Cooperative Non-local System
Alexis Léculier and Pierre RouxActa Applicandae Mathematicae 180 (1) (2022)
https://doi.org/10.1007/s10440-022-00501-1
Optimal control problem for a general reaction-diffusion tumor-immune interaction system of mixed immunotherapy and chemotherapy
Feng Dai and Bin LiuEuropean Journal of Control 66 100645 (2022)
https://doi.org/10.1016/j.ejcon.2022.100645
Evolutionary Dynamics of Treatment-Induced Resistance in Cancer Informs Understanding of Rapid Evolution in Natural Systems
Mariyah Pressley, Monica Salvioli, David B. Lewis, et al.Frontiers in Ecology and Evolution 9 (2021)
https://doi.org/10.3389/fevo.2021.681121
Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors
Chiara Villa, Mark A. Chaplain and Tommaso LorenziSIAM Journal on Applied Mathematics 81 (2) 434 (2021)
https://doi.org/10.1137/19M1293971
Survival criterion for a population subject to selection and mutations; Application to temporally piecewise constant environments
Manon Costa, Christèle Etchegaray and Sepideh MirrahimiNonlinear Analysis: Real World Applications 59 103239 (2021)
https://doi.org/10.1016/j.nonrwa.2020.103239
Evolutionary Dynamics in Vascularised Tumours under Chemotherapy: Mathematical Modelling, Asymptotic Analysis and Numerical Simulations
Chiara Villa, Mark A. J. Chaplain and Tommaso LorenziVietnam Journal of Mathematics 49 (1) 143 (2021)
https://doi.org/10.1007/s10013-020-00445-9
A Mathematical Study of the Influence of Hypoxia and Acidity on the Evolutionary Dynamics of Cancer
Giada Fiandaca, Marcello Delitala and Tommaso LorenziBulletin of Mathematical Biology 83 (7) (2021)
https://doi.org/10.1007/s11538-021-00914-3
Stepping From Modeling Cancer Plasticity to the Philosophy of Cancer
Jean ClairambaultFrontiers in Genetics 11 (2020)
https://doi.org/10.3389/fgene.2020.579738
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy
Rebecca E.A. Stace, Thomas Stiehl, Mark A.J. Chaplain, et al.Mathematical Modelling of Natural Phenomena 15 14 (2020)
https://doi.org/10.1051/mmnp/2019027
Optimal Control Theory for Personalized Therapeutic Regimens in Oncology: Background, History, Challenges, and Opportunities
Angela M. Jarrett, Danial Faghihi, David A. Hormuth, Ernesto A. B. F. Lima, John Virostko, George Biros, Debra Patt and Thomas E. YankeelovJournal of Clinical Medicine 9 (5) 1314 (2020)
https://doi.org/10.3390/jcm9051314
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments
Aleksandra Ardaševa, Robert A. Gatenby, Alexander R. A. Anderson, et al.Journal of Mathematical Biology 80 (3) 775 (2020)
https://doi.org/10.1007/s00285-019-01441-5
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
Tommaso Lorenzi and Camille PoucholNonlinearity 33 (11) 5791 (2020)
https://doi.org/10.1088/1361-6544/ab9bad
Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment
T. Lorenzi, F. R. Macfarlane and C. VillaTrends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment 359 (2020)
https://doi.org/10.1007/978-3-030-46306-9_22
Comparative study between discrete and continuum models for the evolution of competing phenotype-structured cell populations in dynamical environments
Aleksandra Ardaševa, Alexander R. A. Anderson, Robert A. Gatenby, et al.Physical Review E 102 (4) (2020)
https://doi.org/10.1103/PhysRevE.102.042404
Cell plasticity in cancer cell populations
Shensi Shen and Jean ClairambaultF1000Research 9 635 (2020)
https://doi.org/10.12688/f1000research.24803.1