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For: Vainstein V, Kirnasovsky OU, Kogan Y, Agur Z. Strategies for cancer stem cell elimination: Insights from mathematical modeling. J Theor Biol 2012;298:32-41. [DOI: 10.1016/j.jtbi.2011.12.016] [Citation(s) in RCA: 39] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2011] [Revised: 09/29/2011] [Accepted: 12/15/2011] [Indexed: 01/28/2023]
Number Cited by Other Article(s)
1
Peters J, van Dijck JA, Elias SG, Otten JD, Broeders MJ. The prognostic potential of mammographic growth rate of invasive breast cancer in the Nijmegen breast cancer screening cohort. J Med Screen 2024;31:166-175. [PMID: 38295359 PMCID: PMC11330081 DOI: 10.1177/09691413231222765] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2023] [Accepted: 11/15/2023] [Indexed: 02/02/2024]
2
Classical mathematical models for prediction of response to chemotherapy and immunotherapy. PLoS Comput Biol 2022;18:e1009822. [PMID: 35120124 PMCID: PMC8903251 DOI: 10.1371/journal.pcbi.1009822] [Citation(s) in RCA: 26] [Impact Index Per Article: 13.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/28/2021] [Revised: 03/08/2022] [Accepted: 01/10/2022] [Indexed: 01/02/2023]  Open
3
Kiwumulo HF, Muwonge H, Ibingira C, Kirabira JB, Ssekitoleko RT. A systematic review of modeling and simulation approaches in designing targeted treatment technologies for Leukemia Cancer in low and middle income countries. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2021;18:8149-8173. [PMID: 34814293 DOI: 10.3934/mbe.2021404] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
4
Kaushik V, Kulkarni Y, Felix K, Azad N, Iyer AKV, Yakisich JS. Alternative models of cancer stem cells: The stemness phenotype model, 10 years later. World J Stem Cells 2021;13:934-943. [PMID: 34367485 PMCID: PMC8316871 DOI: 10.4252/wjsc.v13.i7.934] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 02/28/2021] [Revised: 05/05/2021] [Accepted: 07/09/2021] [Indexed: 02/06/2023]  Open
5
Solé R, Aguadé-Gorgorió G. The ecology of cancer differentiation therapy. J Theor Biol 2020;511:110552. [PMID: 33309530 DOI: 10.1016/j.jtbi.2020.110552] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2020] [Revised: 10/21/2020] [Accepted: 11/17/2020] [Indexed: 11/29/2022]
6
Buller M, Chapple KM, Bird CR. Brain Metastases: Insights from Statistical Modeling of Size Distribution. AJNR Am J Neuroradiol 2020;41:579-582. [PMID: 32241770 DOI: 10.3174/ajnr.a6496] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2019] [Accepted: 02/12/2020] [Indexed: 11/07/2022]
7
Sigal D, Przedborski M, Sivaloganathan D, Kohandel M. Mathematical modelling of cancer stem cell-targeted immunotherapy. Math Biosci 2019;318:108269. [DOI: 10.1016/j.mbs.2019.108269] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2019] [Revised: 09/17/2019] [Accepted: 10/05/2019] [Indexed: 12/15/2022]
8
Brady R, Enderling H. Mathematical Models of Cancer: When to Predict Novel Therapies, and When Not to. Bull Math Biol 2019;81:3722-3731. [PMID: 31338741 PMCID: PMC6764933 DOI: 10.1007/s11538-019-00640-x] [Citation(s) in RCA: 79] [Impact Index Per Article: 15.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/23/2019] [Accepted: 07/02/2019] [Indexed: 12/27/2022]
9
Afenya EK, Ouifki R, Mundle SD. Mathematical modeling of bone marrow - peripheral blood dynamics in the disease state based on current emerging paradigms, part II. J Theor Biol 2019;460:37-55. [PMID: 30296448 DOI: 10.1016/j.jtbi.2018.10.008] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/07/2017] [Revised: 09/28/2018] [Accepted: 10/01/2018] [Indexed: 12/31/2022]
10
Emerging functional markers for cancer stem cell-based therapies: Understanding signaling networks for targeting metastasis. Semin Cancer Biol 2018;53:90-109. [PMID: 29966677 DOI: 10.1016/j.semcancer.2018.06.006] [Citation(s) in RCA: 60] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/30/2018] [Revised: 06/20/2018] [Accepted: 06/28/2018] [Indexed: 12/18/2022]
11
A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations. Bull Math Biol 2016;79:209-235. [DOI: 10.1007/s11538-016-0233-6] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/13/2016] [Accepted: 11/04/2016] [Indexed: 11/29/2022]
12
Mathematical Modelling of Bacterial Quorum Sensing: A Review. Bull Math Biol 2016;78:1585-639. [PMID: 27561265 DOI: 10.1007/s11538-016-0160-6] [Citation(s) in RCA: 42] [Impact Index Per Article: 5.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/26/2015] [Accepted: 03/15/2016] [Indexed: 12/21/2022]
13
Marcu LG, Marcu D, Filip SM. In silico study of the impact of cancer stem cell dynamics and radiobiological hypoxia on tumour response to hyperfractionated radiotherapy. Cell Prolif 2016;49:304-14. [PMID: 27079860 DOI: 10.1111/cpr.12251] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2016] [Accepted: 02/10/2016] [Indexed: 02/05/2023]  Open
14
Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE 2016;2016:1239861. [PMID: 27022405 PMCID: PMC4745194 DOI: 10.1155/2016/1239861] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/03/2015] [Revised: 11/12/2015] [Accepted: 12/22/2015] [Indexed: 11/24/2022]
15
Afenya EK, Ouifki R, Camara BI, Mundle SD. Mathematical modeling of bone marrow--peripheral blood dynamics in the disease state based on current emerging paradigms, part I. Math Biosci 2016;274:83-93. [PMID: 26877072 DOI: 10.1016/j.mbs.2016.01.010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2015] [Revised: 01/08/2016] [Accepted: 01/28/2016] [Indexed: 01/08/2023]
16
Monteagudo Á, Santos J. Treatment Analysis in a Cancer Stem Cell Context Using a Tumor Growth Model Based on Cellular Automata. PLoS One 2015;10:e0132306. [PMID: 26176702 PMCID: PMC4503350 DOI: 10.1371/journal.pone.0132306] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/06/2015] [Accepted: 06/11/2015] [Indexed: 12/31/2022]  Open
17
Norton KA, Popel AS. An agent-based model of cancer stem cell initiated avascular tumour growth and metastasis: the effect of seeding frequency and location. J R Soc Interface 2015;11:20140640. [PMID: 25185580 DOI: 10.1098/rsif.2014.0640] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]  Open
18
Khan IS, Ehtesham M. Laboratory models for central nervous system tumor stem cell research. ADVANCES IN EXPERIMENTAL MEDICINE AND BIOLOGY 2015;853:69-83. [PMID: 25895708 DOI: 10.1007/978-3-319-16537-0_5] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/22/2023]
19
Dynamic regulation of the cancer stem cell compartment by Cripto-1 in colorectal cancer. Cell Death Differ 2015;22:1700-13. [PMID: 26343543 PMCID: PMC4563784 DOI: 10.1038/cdd.2015.19] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/25/2014] [Revised: 01/27/2015] [Accepted: 02/02/2015] [Indexed: 12/20/2022]  Open
20
Day RS. What Tumor Dynamics Modeling Can Teach us About Exploiting the Stem-Cell View for Better Cancer Treatment. Cancer Inform 2015;14:25-36. [PMID: 25780337 PMCID: PMC4345852 DOI: 10.4137/cin.s17294] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/08/2014] [Revised: 01/19/2015] [Accepted: 01/22/2015] [Indexed: 12/26/2022]  Open
21
Enderling H. Cancer stem cells: small subpopulation or evolving fraction? Integr Biol (Camb) 2015;7:14-23. [DOI: 10.1039/c4ib00191e] [Citation(s) in RCA: 47] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
22
McGuire MF. Pancreatic Cancer: Insights from Counterterrorism Theories. DECISION ANALYSIS 2014. [DOI: 10.1287/deca.2014.0301] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
23
Xu WP, Zhang X, Xie WF. Differentiation therapy for solid tumors. J Dig Dis 2014;15:159-65. [PMID: 24373518 DOI: 10.1111/1751-2980.12122] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
24
Pei QM, Zhan X, Yang LJ, Bao C, Cao W, Li AB, Rozi A, Jia Y. Fluctuations of cell population in a colonic crypt. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014;89:032715. [PMID: 24730882 DOI: 10.1103/physreve.89.032715] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/01/2013] [Indexed: 06/03/2023]
25
López Alfonso JC, Jagiella N, Núñez L, Herrero MA, Drasdo D. Estimating dose painting effects in radiotherapy: a mathematical model. PLoS One 2014;9:e89380. [PMID: 24586734 PMCID: PMC3935877 DOI: 10.1371/journal.pone.0089380] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2013] [Accepted: 01/20/2014] [Indexed: 12/25/2022]  Open
26
Dynamics between cancer cell subpopulations reveals a model coordinating with both hierarchical and stochastic concepts. PLoS One 2014;9:e84654. [PMID: 24416258 PMCID: PMC3886990 DOI: 10.1371/journal.pone.0084654] [Citation(s) in RCA: 36] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2013] [Accepted: 11/18/2013] [Indexed: 02/04/2023]  Open
27
Monteagudo Á, Santos J. Studying the capability of different cancer hallmarks to initiate tumor growth using a cellular automaton simulation. Application in a cancer stem cell context. Biosystems 2013;115:46-58. [PMID: 24262634 DOI: 10.1016/j.biosystems.2013.11.001] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/21/2013] [Revised: 10/29/2013] [Accepted: 11/03/2013] [Indexed: 02/06/2023]
28
Gentry SN, Jackson TL. A mathematical model of cancer stem cell driven tumor initiation: implications of niche size and loss of homeostatic regulatory mechanisms. PLoS One 2013;8:e71128. [PMID: 23990931 PMCID: PMC3747196 DOI: 10.1371/journal.pone.0071128] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2013] [Accepted: 06/28/2013] [Indexed: 12/23/2022]  Open
29
Bagci EZ, Sen SM, Camurdan MC. Analysis of a mathematical model of apoptosis: individual differences and malfunction in programmed cell death. J Clin Monit Comput 2013;27:465-79. [DOI: 10.1007/s10877-013-9468-z] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2012] [Accepted: 04/02/2013] [Indexed: 12/13/2022]
30
Fábián Á, Vereb G, Szöllősi J. The hitchhikers guide to cancer stem cell theory: Markers, pathways and therapy. Cytometry A 2012;83:62-71. [DOI: 10.1002/cyto.a.22206] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2012] [Revised: 08/22/2012] [Accepted: 08/23/2012] [Indexed: 12/25/2022]
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