Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies
ESAIM: M2AN, 47 2 (2013) 377-399
Published online: 2013-01-11
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):
Identifiability of phenotypic adaptation from low-cell-count experiments and a stochastic model
Alexander P. Browning, Rebecca M. Crossley, Chiara Villa, Philip K. Maini, Adrianne L. Jenner, Tyler Cassidy, Sara Hamis and Guillermo LorenzoPLOS Computational Biology 21 (6) e1013202 (2025)
https://doi.org/10.1371/journal.pcbi.1013202
Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods
Tommaso Lorenzi, Kevin J. Painter and Chiara VillaJournal of Mathematical Biology 90 (6) (2025)
https://doi.org/10.1007/s00285-025-02223-y
The Gierer-Meinhardt system in the entire space with non-local proliferation rates
Marius Ghergu, Nikos I. Kavallaris and Yasuhito MiyamotoJournal of Differential Equations 444 113559 (2025)
https://doi.org/10.1016/j.jde.2025.113559
Estimating treatment sensitivity in synthetic and in vitro tumors using a random differential equation model
Natalie Meacham and Erica M. Rutternpj Systems Biology and Applications 11 (1) (2025)
https://doi.org/10.1038/s41540-025-00530-0
On selection dynamics for a nonlocal phenotype-structured model
Shen Bian and Jiale BuComptes Rendus. Mathématique 363 (G1) 13 (2025)
https://doi.org/10.5802/crmath.696
Numerical approaches for non-local transport-dominated PDE models with applications to biology
Johan Marguet, Raluca Eftimie and Alexei LozinskiComputational and Applied Mathematics 44 (4) (2025)
https://doi.org/10.1007/s40314-025-03146-6
The Impact of T-cell Exhaustion Dynamics on Tumour–Immune Interactions and Tumour Growth
Nicholas Lai, Alexis Farman and Helen M. ByrneBulletin of Mathematical Biology 87 (5) (2025)
https://doi.org/10.1007/s11538-025-01433-1
(2024)
https://doi.org/10.1101/2024.08.19.608540
Optimal control in reducing side effects during and after chemotherapy of solid tumors
Zeinab Joorsara, Seyed Mohammad Hosseini and Sakine EsmailiMathematical Methods in the Applied Sciences 47 (11) 8857 (2024)
https://doi.org/10.1002/mma.10049
A modelling framework for cancer ecology and evolution
Frederick R. AdlerJournal of The Royal Society Interface 21 (216) (2024)
https://doi.org/10.1098/rsif.2024.0099
1351 (2024)
https://doi.org/10.1109/CDC56724.2024.10886792
A particle method for non-local advection–selection–mutation equations
Frank Ernesto Alvarez and Jules GuilberteauMathematical Models and Methods in Applied Sciences 34 (04) 597 (2024)
https://doi.org/10.1142/S0218202524500106
On minimising tumoural growth under treatment resistance
Matthias M. Fischer and Nils BlüthgenJournal of Theoretical Biology 579 111716 (2024)
https://doi.org/10.1016/j.jtbi.2023.111716
A comprehensive review of computational cell cycle models in guiding cancer treatment strategies
Chenhui Ma and Evren Gurkan-Cavusoglunpj Systems Biology and Applications 10 (1) (2024)
https://doi.org/10.1038/s41540-024-00397-7
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
Mathematical modeling of the evolution of resistance and aggressiveness of high-grade serous ovarian cancer from patient CA-125 time series
Kanyarat Jitmana, Jason I. Griffiths, Sian Fereday, Anna DeFazio, David Bowtell, Frederick R. Adler and Dominik WodarzPLOS Computational Biology 20 (5) e1012073 (2024)
https://doi.org/10.1371/journal.pcbi.1012073
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck and Loïc PellissierPartial Differential Equations and Applications 4 (6) (2023)
https://doi.org/10.1007/s42985-023-00244-0
A Strategy Utilizing Protein–Protein Interaction Hubs for the Treatment of Cancer Diseases
Nicolas Carels, Domenico Sgariglia, Marcos Guilherme Vieira Junior, Carlyle Ribeiro Lima, Flávia Raquel Gonçalves Carneiro, Gilberto Ferreira da Silva, Fabricio Alves Barbosa da Silva, Rafaela Scardini, Jack Adam Tuszynski, Cecilia Vianna de Andrade, Ana Carolina Monteiro, Marcel Guimarães Martins, Talita Goulart da Silva, Helen Ferraz, Priscilla Vanessa Finotelli, Tiago Albertini Balbino and José Carlos PintoInternational Journal of Molecular Sciences 24 (22) 16098 (2023)
https://doi.org/10.3390/ijms242216098
Promoting extinction or minimizing growth? The impact of treatment on trait trajectories in evolving populations
Michael Raatz and Arne TraulsenEvolution 77 (6) 1408 (2023)
https://doi.org/10.1093/evolut/qpad042
Discrete and continuum models for the coevolutionary dynamics between CD8+ cytotoxic T lymphocytes and tumour cells
Luís Almeida, Chloe Audebert, Emma Leschiera and Tommaso LorenziMathematical Medicine and Biology: A Journal of the IMA 40 (2) 141 (2023)
https://doi.org/10.1093/imammb/dqac017
493 (2023)
https://doi.org/10.1109/ICSC58660.2023.10449697
Ribonucleotide reductase regulatory subunit M2 drives glioblastoma TMZ resistance through modulation of dNTP production
Ella N. Perrault, Jack M. Shireman, Eunus S. Ali, Peiyu Lin, Isabelle Preddy, Cheol Park, Shreya Budhiraja, Shivani Baisiwala, Karan Dixit, C. David James, Dieter H Heiland, Issam Ben-Sahra, Sebastian Pott, Anindita Basu, Jason Miska and Atique U. AhmedScience Advances 9 (20) (2023)
https://doi.org/10.1126/sciadv.ade7236
1 (2023)
https://doi.org/10.23919/ECC57647.2023.10178266
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
(2023)
https://doi.org/10.2139/ssrn.4349308
Travelling wave solutions of the cubic nonlocal Fisher-KPP equation: I. General theory and the near local limit
J Billingham and D J NeedhamNonlinearity 35 (12) 6098 (2022)
https://doi.org/10.1088/1361-6544/ac98ea
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
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
Cancer, Complexity, Computation
Benedetta Casadei, Marta Giacosa, Alessandro Maula, et al.Emergence, Complexity and Computation, Cancer, Complexity, Computation 46 309 (2022)
https://doi.org/10.1007/978-3-031-04379-6_14
Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors
Justin Gomez, Nathanael Holmes, Austin Hansen, et al.Mathematical Biosciences and Engineering 19 (3) 2592 (2022)
https://doi.org/10.3934/mbe.2022119
(2022)
https://doi.org/10.1101/2022.06.17.496570
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
Bivalent chromatin as a therapeutic target in cancer: An in silico predictive approach for combining epigenetic drugs
Tomás Alarcón, Josep Sardanyés, Antoni Guillamon, Javier A. Menendez and Ilya IoshikhesPLOS Computational Biology 17 (6) e1008408 (2021)
https://doi.org/10.1371/journal.pcbi.1008408
Improving cancer treatments via dynamical biophysical models
M. Kuznetsov, J. Clairambault and V. VolpertPhysics of Life Reviews 39 1 (2021)
https://doi.org/10.1016/j.plrev.2021.10.001
On Systems of Active Particles Perturbed by Symmetric Bounded Noises: A Multiscale Kinetic Approach
Bruno Felice Filippo Flora, Armando Ciancio and Alberto d’OnofrioSymmetry 13 (9) 1604 (2021)
https://doi.org/10.3390/sym13091604
Do mechanisms matter? Comparing cancer treatment strategies across mathematical models and outcome objectives
Cassidy K. Buhler, Rebecca S. Terry, Kathryn G. Link and Frederick R. AdlerMathematical Biosciences and Engineering 18 (5) 6305 (2021)
https://doi.org/10.3934/mbe.2021315
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
Efficiency of cancer treatments: in silico experiments
Elena Piretto, Marcello Delitala, Mario Ferraro and Florence HubertMathematical Modelling of Natural Phenomena 15 19 (2020)
https://doi.org/10.1051/mmnp/2019031
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
Global boundedness, hair trigger effect, and pattern formation driven by the parametrization of a nonlocal Fisher-KPP problem
Jing Li, Li Chen and Christina SurulescuJournal of Differential Equations 269 (11) 9090 (2020)
https://doi.org/10.1016/j.jde.2020.06.039
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
Stepping From Modeling Cancer Plasticity to the Philosophy of Cancer
Jean ClairambaultFrontiers in Genetics 11 (2020)
https://doi.org/10.3389/fgene.2020.579738
The impact of competition between cancer cells and healthy cells on optimal drug delivery
Heyrim Cho, Doron Levy, Florence Hubert and Jean ClairambaultMathematical Modelling of Natural Phenomena 15 42 (2020)
https://doi.org/10.1051/mmnp/2019043
Investigation of solid tumor progression with account of proliferation/migration dichotomy via Darwinian mathematical model
Maxim Kuznetsov and Andrey KolobovJournal of Mathematical Biology 80 (3) 601 (2020)
https://doi.org/10.1007/s00285-019-01434-4
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
Viability in a non-local population model structured by size and spatial position
Thomas LorenzJournal of Mathematical Analysis and Applications 491 (1) 124249 (2020)
https://doi.org/10.1016/j.jmaa.2020.124249
Eradicating Metastatic Cancer and the Eco-Evolutionary Dynamics of Anthropocene Extinctions
Robert A. Gatenby, Yael Artzy-Randrup, Tamir Epstein, Damon R. Reed and Joel S. BrownCancer Research 80 (3) 613 (2020)
https://doi.org/10.1158/0008-5472.CAN-19-1941
Mathematical models for cell migration: a non-local perspective
Li Chen, Kevin Painter, Christina Surulescu and Anna ZhigunPhilosophical Transactions of the Royal Society B: Biological Sciences 375 (1807) 20190379 (2020)
https://doi.org/10.1098/rstb.2019.0379
Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory
Mark Gluzman, Jacob G. Scott and Alexander VladimirskyProceedings of the Royal Society B: Biological Sciences 287 (1925) 20192454 (2020)
https://doi.org/10.1098/rspb.2019.2454
Mild thermotherapy and hyperbaric oxygen enhance sensitivity of TMZ/PSi nanoparticles via decreasing the stemness in glioma
Xiaofan Zeng, Qi Wang, Xuan Tan, et al.Journal of Nanobiotechnology 17 (1) (2019)
https://doi.org/10.1186/s12951-019-0483-1
Combination of Direct Methods and Homotopy in Numerical Optimal Control: Application to the Optimization of Chemotherapy in Cancer
Antoine Olivier and Camille PoucholJournal of Optimization Theory and Applications 181 (2) 479 (2019)
https://doi.org/10.1007/s10957-018-01461-z
5936 (2019)
https://doi.org/10.1109/CDC40024.2019.9029552
Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model
Luís Almeida, Patrizia Bagnerini, Giulia Fabrini, Barry D. Hughes and Tommaso LorenziESAIM: Mathematical Modelling and Numerical Analysis 53 (4) 1157 (2019)
https://doi.org/10.1051/m2an/2019010
Adomyan Decomposition Method for a Two-Component Nonlocal Reaction-Diffusion Model of the Fisher–Kolmogorov–Petrovsky–Piskunov Type
A. V. Shapovalov and A. Yu. TrifonovRussian Physics Journal 62 (5) 835 (2019)
https://doi.org/10.1007/s11182-019-01785-x
Spatio-Genetic and phenotypic modelling elucidates resistance and re-sensitisation to treatment in heterogeneous melanoma
Arran Hodgkinson, Laurent Le Cam, Dumitru Trucu and Ovidiu RadulescuJournal of Theoretical Biology 466 84 (2019)
https://doi.org/10.1016/j.jtbi.2018.11.037
Mathematical Approach to Differentiate Spontaneous and Induced Evolution to Drug Resistance During Cancer Treatment
James M. Greene, Jana L. Gevertz and Eduardo D. SontagJCO Clinical Cancer Informatics (3) 1 (2019)
https://doi.org/10.1200/CCI.18.00087
Computational Approaches and Analysis for a Spatio-Structural-Temporal Invasive Carcinoma Model
Arran Hodgkinson, Mark A. J. Chaplain, Pia Domschke and Dumitru TrucuBulletin of Mathematical Biology 80 (4) 701 (2018)
https://doi.org/10.1007/s11538-018-0396-4
Modeling continuous levels of resistance to multidrug therapy in cancer
Heyrim Cho and Doron LevyApplied Mathematical Modelling 64 733 (2018)
https://doi.org/10.1016/j.apm.2018.07.025
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy
Camille Pouchol, Jean Clairambault, Alexander Lorz and Emmanuel TrélatJournal de Mathématiques Pures et Appliquées 116 268 (2018)
https://doi.org/10.1016/j.matpur.2017.10.007
The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity
Tommaso Lorenzi, Chandrasekhar Venkataraman, Alexander Lorz and Mark A.J. ChaplainJournal of Theoretical Biology 451 101 (2018)
https://doi.org/10.1016/j.jtbi.2018.05.002
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations
Camille Pouchol and Emmanuel TrélatJournal of Biological Dynamics 12 (1) 872 (2018)
https://doi.org/10.1080/17513758.2018.1515994
Signal Propagation in Sensing and Reciprocating Cellular Systems with Spatial and Structural Heterogeneity
Arran Hodgkinson, Gilles Uzé, Ovidiu Radulescu and Dumitru TrucuBulletin of Mathematical Biology 80 (7) 1900 (2018)
https://doi.org/10.1007/s11538-018-0439-x
Modeling the chemotherapy-induced selection of drug-resistant traits during tumor growth
H. Cho and D. LevyJournal of Theoretical Biology 436 120 (2018)
https://doi.org/10.1016/j.jtbi.2017.10.005
Integrating Biological and Mathematical Models to Explain and Overcome Drug Resistance in Cancer, Part 2: from Theoretical Biology to Mathematical Models
Aaron Goldman, Mohammad Kohandel and Jean ClairambaultCurrent Stem Cell Reports 3 (3) 260 (2017)
https://doi.org/10.1007/s40778-017-0098-0
Application of mathematical models to metronomic chemotherapy: What can be inferred from minimal parameterized models?
Urszula Ledzewicz and Heinz SchättlerCancer Letters 401 74 (2017)
https://doi.org/10.1016/j.canlet.2017.03.021
Pharmacokinetics and Drug Interactions Determine Optimum Combination Strategies in Computational Models of Cancer Evolution
Shaon Chakrabarti and Franziska MichorCancer Research 77 (14) 3908 (2017)
https://doi.org/10.1158/0008-5472.CAN-16-2871
Global existence and asymptotic behavior of solutions to a nonlocal Fisher–KPP type problem
Shen Bian, Li Chen and Evangelos A. LatosNonlinear Analysis: Theory, Methods & Applications 149 165 (2017)
https://doi.org/10.1016/j.na.2016.10.017
Mathematical Modeling of Normal and Cancer Stem Cells
Lora D. Weiss, Natalia L. Komarova and Ignacio A. Rodriguez-BrenesCurrent Stem Cell Reports 3 (3) 232 (2017)
https://doi.org/10.1007/s40778-017-0094-4
Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells
Marcello Delitala and Tommaso LorenziMathematical Biosciences and Engineering 14 (1) 79 (2017)
https://doi.org/10.3934/mbe.2017006
(2017)
https://doi.org/10.1101/235150
Wavefronts for a nonlinear nonlocal bistable reaction–diffusion equation in population dynamics
Jing Li, Evangelos Latos and Li ChenJournal of Differential Equations 263 (10) 6427 (2017)
https://doi.org/10.1016/j.jde.2017.07.019
On drug resistance and metronomic chemotherapy: A mathematical modeling and optimal control approach
Urszula Ledzewicz, Shuo Wang, Heinz Schättler, et al.Mathematical Biosciences and Engineering 14 (1) 217 (2017)
https://doi.org/10.3934/mbe.2017014
Modeling Cancer Cell Growth Dynamics In vitro in Response to Antimitotic Drug Treatment
Alexander Lorz, Dana-Adriana Botesteanu and Doron LevyFrontiers in Oncology 7 (2017)
https://doi.org/10.3389/fonc.2017.00189
Modeling the Transfer of Drug Resistance in Solid Tumors
Matthew Becker and Doron LevyBulletin of Mathematical Biology 79 (10) 2394 (2017)
https://doi.org/10.1007/s11538-017-0334-x
Modeling the Dynamics of Heterogeneity of Solid Tumors in Response to Chemotherapy
Heyrim Cho and Doron LevyBulletin of Mathematical Biology 79 (12) 2986 (2017)
https://doi.org/10.1007/s11538-017-0359-1
Optimal control of a mathematical model for cancer chemotherapy under tumor heterogeneity
Heinz Schättler and Shuo WangMathematical Biosciences and Engineering 13 (6) 1223 (2016)
https://doi.org/10.3934/mbe.2016040
Transfer of Drug Resistance Characteristics Between Cancer Cell Subpopulations: A Study Using Simple Mathematical Models
María Rosa Durán, Ana Podolski-Renić, Arturo Álvarez-Arenas, et al.Bulletin of Mathematical Biology 78 (6) 1218 (2016)
https://doi.org/10.1007/s11538-016-0182-0
Mathematics of Pharmacokinetics and Pharmacodynamics: Diversity of Topics, Models and Methods
G. Bocharov, A. Bouchnita, J. Clairambault, et al.Mathematical Modelling of Natural Phenomena 11 (6) 1 (2016)
https://doi.org/10.1051/mmnp/201611601
Tracking the evolution of cancer cell populations through the mathematical lens of phenotype-structured equations
Tommaso Lorenzi, Rebecca H. Chisholm and Jean ClairambaultBiology Direct 11 (1) (2016)
https://doi.org/10.1186/s13062-016-0143-4
Asymptotics semiclassically concentrated on curves for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
E A Levchenko, A V Shapovalov and A Yu TrifonovJournal of Physics A: Mathematical and Theoretical 49 (30) 305203 (2016)
https://doi.org/10.1088/1751-8113/49/30/305203
1738 320008 (2016)
https://doi.org/10.1063/1.4952112
Cell population heterogeneity and evolution towards drug resistance in cancer: Biological and mathematical assessment, theoretical treatment optimisation
Rebecca H. Chisholm, Tommaso Lorenzi and Jean ClairambaultBiochimica et Biophysica Acta (BBA) - General Subjects 1860 (11) 2627 (2016)
https://doi.org/10.1016/j.bbagen.2016.06.009
Dynamical properties of a minimally parameterized mathematical model for metronomic chemotherapy
Heinz Schättler, Urszula Ledzewicz and Behrooz AminiJournal of Mathematical Biology 72 (5) 1255 (2016)
https://doi.org/10.1007/s00285-015-0907-y
Toward a Better Understanding of the Complexity of Cancer Drug Resistance
Michael M. Gottesman, Orit Lavi, Matthew D. Hall and Jean-Pierre GilletAnnual Review of Pharmacology and Toxicology 56 (1) 85 (2016)
https://doi.org/10.1146/annurev-pharmtox-010715-103111
Systems Biology of Tumor Microenvironment
Urszula Ledzewicz and Heinz SchaettlerAdvances in Experimental Medicine and Biology, Systems Biology of Tumor Microenvironment 936 209 (2016)
https://doi.org/10.1007/978-3-319-42023-3_11
Multi-scale Modeling in Clinical Oncology: Opportunities and Barriers to Success
Thomas E. Yankeelov, Gary An, Oliver Saut, et al.Annals of Biomedical Engineering 44 (9) 2626 (2016)
https://doi.org/10.1007/s10439-016-1691-6
Mass concentration in a nonlocal model of clonal selection
J.-E. Busse, P. Gwiazda and A. Marciniak-CzochraJournal of Mathematical Biology 73 (4) 1001 (2016)
https://doi.org/10.1007/s00285-016-0979-3
Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases
Jana L. Gevertz, Katarzyna A. Rejniak and Ami B. ShahMathematical Biosciences and Engineering 13 (6) 1185 (2016)
https://doi.org/10.3934/mbe.2016038
Physiologically Structured Cell Population Dynamic Models with Applications to Combined Drug Delivery Optimisation in Oncology
J. Clairambault, O. Fercoq, G. Bocharov, J. Clairambault and V. VolpertMathematical Modelling of Natural Phenomena 11 (6) 45 (2016)
https://doi.org/10.1051/mmnp/201611604
Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences
Rebecca H. Chisholm, Tommaso Lorenzi, Laurent Desvillettes and Barry D. HughesZeitschrift für angewandte Mathematik und Physik 67 (4) (2016)
https://doi.org/10.1007/s00033-016-0690-7
Emergence of heterogeneity in acute leukemias
Thomas Stiehl, Christoph Lutz and Anna Marciniak-CzochraBiology Direct 11 (1) (2016)
https://doi.org/10.1186/s13062-016-0154-1
(2016)
https://doi.org/10.1101/042408
Applied mathematics and nonlinear sciences in the war on cancer
Víctor M. Pérez-García, Susan Fitzpatrick, Luis A. Pérez-Romasanta, Milica Pesic, Philippe Schucht, Estanislao Arana and Pilar Sánchez-GómezApplied Mathematics and Nonlinear Sciences 1 (2) 423 (2016)
https://doi.org/10.21042/AMNS.2016.2.00036
Emergence of Drug Tolerance in Cancer Cell Populations: An Evolutionary Outcome of Selection, Nongenetic Instability, and Stress-Induced Adaptation
Rebecca H. Chisholm, Tommaso Lorenzi, Alexander Lorz, et al.Cancer Research 75 (6) 930 (2015)
https://doi.org/10.1158/0008-5472.CAN-14-2103
Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments
Tommaso Lorenzi, Rebecca H. Chisholm, Laurent Desvillettes and Barry D. HughesJournal of Theoretical Biology 386 166 (2015)
https://doi.org/10.1016/j.jtbi.2015.08.031
Spatial Heterogeneity in Drug Concentrations Can Facilitate the Emergence of Resistance to Cancer Therapy
Feng Fu, Martin A. Nowak, Sebastian Bonhoeffer and Rustom AntiaPLOS Computational Biology 11 (3) e1004142 (2015)
https://doi.org/10.1371/journal.pcbi.1004142
Emergence of cytotoxic resistance in cancer cell populations*
Tommaso Lorenzi, Rebecca H. Chisholm, Alexander Lorz, et al.ITM Web of Conferences 5 00009 (2015)
https://doi.org/10.1051/itmconf/20150500009
Optimal Control for Mathematical Models of Cancer Therapies
Heinz Schättler and Urszula LedzewiczInterdisciplinary Applied Mathematics, Optimal Control for Mathematical Models of Cancer Therapies 42 115 (2015)
https://doi.org/10.1007/978-1-4939-2972-6_3
Applications of Dynamical Systems in Biology and Medicine
Jana L. Gevertz, Zahra Aminzare, Kerri-Ann Norton, et al.The IMA Volumes in Mathematics and its Applications, Applications of Dynamical Systems in Biology and Medicine 158 1 (2015)
https://doi.org/10.1007/978-1-4939-2782-1_1