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):

A High-Performance Cellular Automaton Model of Tumor Growth with Dynamically Growing Domains

Jan Poleszczuk and Heiko Enderling
Applied Mathematics 05 (01) 144 (2014)
DOI: 10.4236/am.2014.51017
See this article

New Challenges for Cancer Systems Biomedicine

Xuefeng Gao, J. Tyson McDonald, Lynn Hlatky and Heiko Enderling
SIMAI Springer Series, New Challenges for Cancer Systems Biomedicine 191 (2012)
DOI: 10.1007/978-88-470-2571-4_10
See this article

Logistic Tumor Growth with Delay and Impulsive Treatment

Mathematical Population Studies 21 (3) 146 (2014)
DOI: 10.1080/08898480.2013.804688
See this article

Near Equilibrium Calculus of Stem Cells in Application to the Airway Epithelium Lineage

Zheng Sun, Maksim V. Plikus, Natalia L. Komarova and Jorge M. Pacheco
PLOS Computational Biology 12 (7) e1004990 (2016)
DOI: 10.1371/journal.pcbi.1004990
See this article

Cancer Stem Cells, the Tipping Point: Minority Rules?

Farinaz Forouzannia and Sivabal Sivaloganathan
Current Stem Cell Reports 3 (3) 240 (2017)
DOI: 10.1007/s40778-017-0095-3
See this article

A Mathematical Model of Cancer Stem Cell Lineage Population Dynamics with Mutation Accumulation and Telomere Length Hierarchies

G. Kapitanov
Mathematical Modelling of Natural Phenomena 7 (1) 136 (2012)
DOI: 10.1051/mmnp/20127107
See this article

Targeted Cancer Treatment in Silico

Natalia L. Komarova and Dominik Wodarz
Modeling and Simulation in Science, Engineering and Technology, Targeted Cancer Treatment in Silico 73 (2014)
DOI: 10.1007/978-1-4614-8301-4_6
See this article

Optimization of Dose Fractionation for Radiotherapy of a Solid Tumor with Account of Oxygen Effect and Proliferative Heterogeneity

Maxim Kuznetsov and Andrey Kolobov
Mathematics 8 (8) 1204 (2020)
DOI: 10.3390/math8081204
See this article

Stem Cell Heterogeneity

Jan Poleszczuk, Paul Macklin and Heiko Enderling
Methods in Molecular Biology, Stem Cell Heterogeneity 1516 335 (2016)
DOI: 10.1007/7651_2016_346
See this article

Biphasic modulation of cancer stem cell-driven solid tumour dynamics in response to reactivated replicative senescence

J. Poleszczuk, P. Hahnfeldt and H. Enderling
Cell Proliferation 47 (3) 267 (2014)
DOI: 10.1111/cpr.12101
See this article

Predicting Patient-Specific Radiotherapy Protocols Based on Mathematical Model Choice for Proliferation Saturation Index

Jan Poleszczuk, Rachel Walker, Eduardo G. Moros, et al.
Bulletin of Mathematical Biology 80 (5) 1195 (2018)
DOI: 10.1007/s11538-017-0279-0
See this article

Systems biology perspectives on the carcinogenic potential of radiation

M. H. Barcellos-Hoff, C. Adams, A. Balmain, et al.
Journal of Radiation Research 55 (suppl 1) i145 (2014)
DOI: 10.1093/jrr/rrt211
See this article

Mathematical Modeling of the Effects of Tumor Heterogeneity on the Efficiency of Radiation Treatment Schedule

Farinaz Forouzannia, Heiko Enderling and Mohammad Kohandel
Bulletin of Mathematical Biology 80 (2) 283 (2018)
DOI: 10.1007/s11538-017-0371-5
See this article

Simulation-based optimization of radiotherapy: Agent-based modeling and reinforcement learning

Ammar Jalalimanesh, Hamidreza Shahabi Haghighi, Abbas Ahmadi and Madjid Soltani
Mathematics and Computers in Simulation 133 235 (2017)
DOI: 10.1016/j.matcom.2016.05.008
See this article

Selecting Radiotherapy Dose Distributions by Means of Constrained Optimization Problems

J. C. L. Alfonso, G. Buttazzo, B. García-Archilla, M. A. Herrero and L. Núñez
Bulletin of Mathematical Biology 76 (5) 1017 (2014)
DOI: 10.1007/s11538-014-9945-7
See this article

Multispecies model of cell lineages and feedback control in solid tumors

H. Youssefpour, X. Li, A.D. Lander and J.S. Lowengrub
Journal of Theoretical Biology 304 39 (2012)
DOI: 10.1016/j.jtbi.2012.02.030
See this article

Symmetric vs. Asymmetric Stem Cell Divisions: An Adaptation against Cancer?

Leili Shahriyari, Natalia L. Komarova and Aditya Bhushan Pant
PLoS ONE 8 (10) e76195 (2013)
DOI: 10.1371/journal.pone.0076195
See this article

Promotion of variant human mammary epithelial cell outgrowth by ionizing radiation: an agent-based model supported by in vitro studies

Rituparna Mukhopadhyay, Sylvain V Costes, Alexey V Bazarov, et al.
Breast Cancer Research 12 (1) R11 (2010)
DOI: 10.1186/bcr2477
See this article

Cancer Stem Cell Plasticity as Tumor Growth Promoter and Catalyst of Population Collapse

Jan Poleszczuk and Heiko Enderling
Stem Cells International 2016 1 (2016)
DOI: 10.1155/2016/3923527
See this article

Cancer stem cells in solid tumors: Is ‘evading apoptosis’ a hallmark of cancer?

Heiko Enderling and Philip Hahnfeldt
Progress in Biophysics and Molecular Biology 106 (2) 391 (2011)
DOI: 10.1016/j.pbiomolbio.2011.03.007
See this article

Analysis of stochastic stem cell models with control

Jienian Yang, Zheng Sun and Natalia L. Komarova
Mathematical Biosciences 266 93 (2015)
DOI: 10.1016/j.mbs.2015.06.001
See this article

Stem Cell Fate Decision Making: Modeling Approaches

Alexander A. Spector and Warren L. Grayson
ACS Biomaterials Science & Engineering 3 (11) 2702 (2017)
DOI: 10.1021/acsbiomaterials.6b00606
See this article

Immunoediting: evidence of the multifaceted role of the immune system in self-metastatic tumor growth

Heiko Enderling, Lynn Hlatky and Philip Hahnfeldt
Theoretical Biology and Medical Modelling 9 (1) 31 (2012)
DOI: 10.1186/1742-4682-9-31
See this article

Estimating Dose Painting Effects in Radiotherapy: A Mathematical Model

Juan Carlos López Alfonso, Nick Jagiella, Luis Núñez, et al.
PLoS ONE 9 (2) e89380 (2014)
DOI: 10.1371/journal.pone.0089380
See this article

Nonlinear modelling of cancer: bridging the gap between cells and tumours

J S Lowengrub, H B Frieboes, F Jin, et al.
Nonlinearity 23 (1) R1 (2010)
DOI: 10.1088/0951-7715/23/1/R01
See this article

Towards Predicting the Response of a Solid Tumour to Chemotherapy and Radiotherapy Treatments: Clinical Insights from a Computational Model

Gibin G. Powathil, Douglas J. A. Adamson, Mark A. J. Chaplain and Vito Quaranta
PLoS Computational Biology 9 (7) e1003120 (2013)
DOI: 10.1371/journal.pcbi.1003120
See this article

Simulating Space Radiation-Induced Breast Tumor Incidence Using Automata

A. C. Heuskin, A. I. Osseiran, J. Tang and S. V. Costes
Radiation Research 186 (1) 27 (2016)
DOI: 10.1667/RR14338.1
See this article

Dynamics between Cancer Cell Subpopulations Reveals a Model Coordinating with Both Hierarchical and Stochastic Concepts

Weikang Wang, Yi Quan, Qibin Fu, et al.
PLoS ONE 9 (1) e84654 (2014)
DOI: 10.1371/journal.pone.0084654
See this article

The Role of Symmetric Stem Cell Divisions in Tissue Homeostasis

Jienian Yang, Maksim V. Plikus, Natalia L. Komarova and Arne Traulsen
PLOS Computational Biology 11 (12) e1004629 (2015)
DOI: 10.1371/journal.pcbi.1004629
See this article

Mathematical analysis of a clonal evolution model of tumour cell proliferation

József Z. Farkas and Glenn F. Webb
Journal of Evolution Equations 17 (1) 275 (2017)
DOI: 10.1007/s00028-016-0369-8
See this article

A stochastic model for tumour control probability that accounts for repair from sublethal damage

Ana Victoria Ponce Bobadilla, Philip K Maini and Helen Byrne
Mathematical Medicine and Biology: A Journal of the IMA 35 (2) 181 (2018)
DOI: 10.1093/imammb/dqw024
See this article

Immunologic Consequences of Sequencing Cancer Radiotherapy and Surgery

Juan Carlos López Alfonso, Jan Poleszczuk, Rachel Walker, et al.
JCO Clinical Cancer Informatics (3) 1 (2019)
DOI: 10.1200/CCI.18.00075
See this article

A multiscale in silico model of endothelial to mesenchymal transformation in a tumor microenvironment

M. Chowkwale, G.J. Mahler, P. Huang and B.T. Murray
Journal of Theoretical Biology 480 229 (2019)
DOI: 10.1016/j.jtbi.2019.08.012
See this article

Blackboard to Bedside: A Mathematical Modeling Bottom-Up Approach Toward Personalized Cancer Treatments

Sara Hamis, Gibin G. Powathil and Mark A.J. Chaplain
JCO Clinical Cancer Informatics (3) 1 (2019)
DOI: 10.1200/CCI.18.00068
See this article

Quantitative Modeling of Tumor Dynamics and Radiotherapy

Heiko Enderling, Mark A. J. Chaplain and Philip Hahnfeldt
Acta Biotheoretica 58 (4) 341 (2010)
DOI: 10.1007/s10441-010-9111-z
See this article

Proliferation saturation index in an adaptive Bayesian approach to predict patient-specific radiotherapy responses

Enakshi D. Sunassee, Dean Tan, Nathan Ji, et al.
International Journal of Radiation Biology 95 (10) 1421 (2019)
DOI: 10.1080/09553002.2019.1589013
See this article

Systems Biology of Tumor Dormancy

Heiko Enderling
Advances in Experimental Medicine and Biology, Systems Biology of Tumor Dormancy 734 55 (2013)
DOI: 10.1007/978-1-4614-1445-2_4
See this article

Determining the control networks regulating stem cell lineages in colonic crypts

Jienian Yang, David E. Axelrod and Natalia L. Komarova
Journal of Theoretical Biology 429 190 (2017)
DOI: 10.1016/j.jtbi.2017.06.033
See this article

The importance of dead material within a tumour on the dynamics in response to radiotherapy

Thomas D Lewin, Helen M Byrne, Philip K Maini, et al.
Physics in Medicine & Biology 65 (1) 015007 (2020)
DOI: 10.1088/1361-6560/ab4c27
See this article

A proliferation saturation index to predict radiation response and personalize radiotherapy fractionation

Sotiris Prokopiou, Eduardo G. Moros, Jan Poleszczuk, et al.
Radiation Oncology 10 (1) (2015)
DOI: 10.1186/s13014-015-0465-x
See this article

Mathematical oncology and it’s application in non melanoma skin cancer – A primer for radiation oncology professionals

Noel J. Aherne, Andrew Dhawan, Jacob G. Scott and Heiko Enderling
Oral Oncology 103 104473 (2020)
DOI: 10.1016/j.oraloncology.2019.104473
See this article

Harnessing Tumor Immune Ecosystem Dynamics to Personalize Radiation Therapy

G. Daniel Grass, Juan Carlos Lopez Alfonso, Eric Welsh, et al.
SSRN Electronic Journal (2020)
DOI: 10.2139/ssrn.3581358
See this article

Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages

Natalia L. Komarova and P. van den Driessche
Bulletin of Mathematical Biology 80 (5) 1345 (2018)
DOI: 10.1007/s11538-017-0283-4
See this article

A minimal modeling framework of radiation and immune system synergy to assist radiotherapy planning

Ghazal Montaseri, Juan Carlos López Alfonso, Haralampos Hatzikirou and Michael Meyer-Hermann
Journal of Theoretical Biology 486 110099 (2020)
DOI: 10.1016/j.jtbi.2019.110099
See this article