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).
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 Lorenzo PLOS Computational Biology 21(6) e1013202 (2025) https://doi.org/10.1371/journal.pcbi.1013202
The Gierer-Meinhardt system in the entire space with non-local proliferation rates
Optimal control in reducing side effects during and after chemotherapy of solid tumors
Zeinab Joorsara, Seyed Mohammad Hosseini and Sakine Esmaili Mathematical Methods in the Applied Sciences 47(11) 8857 (2024) https://doi.org/10.1002/mma.10049
A modelling framework for cancer ecology and evolution
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 Wodarz PLOS Computational Biology 20(5) e1012073 (2024) https://doi.org/10.1371/journal.pcbi.1012073
Alexander P Browning, Rebecca M Crossley, Chiara Villa, Philip K Maini, Adrianne L Jenner, Tyler Cassidy and Sara Hamis (2024) https://doi.org/10.1101/2024.08.19.608540
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
Zuzanna Szymańska, Mirosław Lachowicz, Nikolaos Sfakianakis and Mark A.J. Chaplain Journal of Computational Science 75 102175 (2024) https://doi.org/10.1016/j.jocs.2023.102175
A particle method for non-local advection–selection–mutation equations
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 Pinto International 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
Deep learning approximations for non-local nonlinear PDEs with Neumann boundary conditions
Victor Boussange, Sebastian Becker, Arnulf Jentzen, Benno Kuckuck and Loïc Pellissier Partial Differential Equations and Applications 4(6) (2023) https://doi.org/10.1007/s42985-023-00244-0
A phenotype-structured model for the tumour-immune response
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. Ahmed Science Advances 9(20) (2023) https://doi.org/10.1126/sciadv.ade7236
Michael Raatz and Arne Traulsen (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
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 Ioshikhes PLOS Computational Biology 17(6) e1008408 (2021) https://doi.org/10.1371/journal.pcbi.1008408
On Systems of Active Particles Perturbed by Symmetric Bounded Noises: A Multiscale Kinetic Approach
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. Adler Mathematical Biosciences and Engineering 18(5) 6305 (2021) https://doi.org/10.3934/mbe.2021315
The impact of competition between cancer cells and healthy cells on optimal drug delivery
Heyrim Cho, Doron Levy, Florence Hubert and Jean Clairambault Mathematical Modelling of Natural Phenomena 15 42 (2020) https://doi.org/10.1051/mmnp/2019043
Global boundedness, hair trigger effect, and pattern formation driven by the parametrization of a nonlocal Fisher-KPP problem
Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment
T. Lorenzi, F. R. Macfarlane and C. Villa Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment 359 (2020) https://doi.org/10.1007/978-3-030-46306-9_22
Eradicating Metastatic Cancer and the Eco-Evolutionary Dynamics of Anthropocene Extinctions
Mathematical models for cell migration: a non-local perspective
Li Chen, Kevin Painter, Christina Surulescu and Anna Zhigun Philosophical Transactions of the Royal Society B: Biological Sciences 375(1807) 20190379 (2020) https://doi.org/10.1098/rstb.2019.0379
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks
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
Efficiency of cancer treatments: in silico experiments
Elena Piretto, Marcello Delitala, Mario Ferraro and Florence Hubert Mathematical Modelling of Natural Phenomena 15 19 (2020) https://doi.org/10.1051/mmnp/2019031
Optimizing adaptive cancer therapy: dynamic programming and evolutionary game theory
Mark Gluzman, Jacob G. Scott and Alexander Vladimirsky Proceedings of the Royal Society B: Biological Sciences 287(1925) 20192454 (2020) https://doi.org/10.1098/rspb.2019.2454
Spatio-Genetic and phenotypic modelling elucidates resistance and re-sensitisation to treatment in heterogeneous melanoma
The role of spatial variations of abiotic factors in mediating intratumour phenotypic heterogeneity
Tommaso Lorenzi, Chandrasekhar Venkataraman, Alexander Lorz and Mark A.J. Chaplain Journal of Theoretical Biology 451 101 (2018) https://doi.org/10.1016/j.jtbi.2018.05.002
Signal Propagation in Sensing and Reciprocating Cellular Systems with Spatial and Structural Heterogeneity
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
Integrating Biological and Mathematical Models to Explain and Overcome Drug Resistance in Cancer, Part 2: from Theoretical Biology to Mathematical Models
Asymptotics semiclassically concentrated on curves for the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
E A Levchenko, A V Shapovalov and A Yu Trifonov Journal of Physics A: Mathematical and Theoretical 49(30) 305203 (2016) https://doi.org/10.1088/1751-8113/49/30/305203
Tommaso Lorenzi, Rebecca H. Chisholm, Alexander Lorz, Annette K. Larsen, Luís Neves de Almeida, Alexandre Escargueil and Jean Clairambault 1738 320008 (2016) https://doi.org/10.1063/1.4952112
Mass concentration in a nonlocal model of clonal selection
Cell population heterogeneity and evolution towards drug resistance in cancer: Biological and mathematical assessment, theoretical treatment optimisation
Rebecca H. Chisholm, Tommaso Lorenzi and Jean Clairambault Biochimica 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
Urszula Ledzewicz and Heinz Schaettler Advances 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
Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases
Jana L. Gevertz, Katarzyna A. Rejniak and Ami B. Shah Mathematical 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. Volpert Mathematical 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. Hughes Zeitschrift für angewandte Mathematik und Physik 67(4) (2016) https://doi.org/10.1007/s00033-016-0690-7
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-Gómez Applied Mathematics and Nonlinear Sciences 1(2) 423 (2016) https://doi.org/10.21042/AMNS.2016.2.00036
Preface to the Issue Nonlocal Reaction-Diffusion Equations
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
Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments