Use Mathematical Models to Describe the Growth of Cancerous Tumors
Uso de modelos matemáticos para la descripción del crecimiento de tumores cancerosos
| dc.creator | Ortiz, Alba Cristina | |
| dc.creator | Zapata Peña, Jair | |
| dc.date.accessioned | 2019-11-08T21:25:15Z | |
| dc.date.accessioned | 2022-09-28T12:19:32Z | |
| dc.date.available | 2019-11-08T21:25:15Z | |
| dc.date.available | 2022-09-28T12:19:32Z | |
| dc.date.created | 2019-11-08T21:25:15Z | |
| dc.identifier | https://repository.unad.edu.co/handle/10596/30116 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/3629443 | |
| dc.publisher | Universidad Colegio Mayor de Cundinamarca | |
| dc.relation | http://hemeroteca.unad.edu.co/index.php/nova/article/view/446/1096 | |
| dc.relation | /*ref*/Kolev M, Zubik-Kowal B. Numerical Solutions for a Model of Tissue Invasion and Migration of Tumour Cells. Comput Math Methods Med. 2011;2011:452320. 2. Solé RV, Deisboeck TS. An error catastrophe in cancer?. J Theor Biol. 2004;228:47-54. 3. Menchón S.A. Modelado de diversas etapas del crecimiento del cáncer y de algunas terapias antitumorales. Córdoba. Tesis Doctoral (Doctorado en física), Universidad Nacional de Córdoba, Argentina, Departamento de física. 2007. 4. Wodarz D, Komarova NL. Computational Biology Of Cancer: Lecture Notes And Mathematical Modeling. Ed. World Scientific, Singapore. 2005. p.13-26. 5. Sotolongo-Costa O, Morales L, Rodríguez D, Antoranz JC, Chacon M. Behavior of tumor under nonostationary therapy. Physical D. 2003;178:242-253. 6. Kim Y, Friedman A. Interaction of tumor with its micro-environment: A mathematical model. Math Biol. 2010;72:1029-1068. 7. Doumic-Jauffret M, Kim PS, Perthame B. Stability analysis of a simplified yet complete model for chronic myelogenous leukemia. Bull Math Biol. 2010;72:1732-1759. 8. Anderson AR, Chaplain MA. Continuous and discrete mathematical models of tumor-induced angiogenesis. Bull Math Biol. 1998;60:857-899. 9. Kansal AR, Torquato S, Harsh GR IV, Chiocca EA, Deisboeck TS. Simulated brain tumor growth dynamics using a three-dimensional cellular automaton. J Theo Biol. 2000;203:367-382. 10. Azuaje F. Computational discrete models of tissue growth and regeneration. Brief Bioinform. 2011;12:64 77. 11. Komarova NL, Sengupta A, Nowak MA. Mutation-selection networks of cancer initiation: tumor suppressor genes and chromosomal instability. J Theor Biol. 2003;223:433-450. 12. Knudson AG. Hereditary cancer: two hits revisited. J Cancer Res Clin Oncol. 1996;122:135-140. 13. Knudson AG. Mutation and cancer: statistical study of retinoblastoma. En: Proc Natl Acad Sci USA.1971;68:820-823. 14. Frank SA. Age-specific acceleration of cancer. Curr Biol. 2004;14:242-246. 15 Krewski D, Zielinski JM, Hazelton WD, Garner MJ, Moolgavkar SH. The use of biologically based cancer risk models in radiation epidemiology. Radiat Prot Dosimetry. 2003;104:367-376. 16. Pescarmona GP, Scalerandi M, Delsanto PP, Condat CA. Nutrient competition as a determinant for cancer growth. Med Hypotheses. 1999;53:497-503. 17. Zapata J.Jair M. Simulaciones por computadora de un modelo espaciotemporal para la interacción del sistema inmunológico y los tumores cancerosos. Dissertations & Theses. 2009;1:76-80. 18. Menchón SA, Ramos RA, Condat CA. . Modeling subspecies and tumor-immune system interaction: Step towards understanding therapy. Physica A. 2007;386:713-719. 19. Brú A, Pastor JM, Brú I, Melle S, Berenguer C. Super rough dynamics on tumor growth. Phys Rev Lett. 1998;18:4008- 4011. 20. Brú A, Albertos S, López García-Asenjo JA, Brú I. Pinning of tumoral growth by enhancement of the immune response. Phys Rev Lett. 2004;92:238101-238104. 21. Kolobov AV, Gubernov VV, Polezhaev AA. Autowaves in a model of growth of an invasive tumor. Biofizika. 2009;54:334-342. | |
| dc.rights | Copyright (c) 2010 NOVA Publicación en Ciencias Biomédicas | |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | |
| dc.source | NOVA Biomedical Sciences Journal; Vol. 8, Núm. 14 (2010); 140-147 | |
| dc.source | Nova; Vol. 8, Núm. 14 (2010); 140-147 | |
| dc.source | NOVA Ciências Biomédicas Publicação; Vol. 8, Núm. 14 (2010); 140-147 | |
| dc.source | 2462-9448 | |
| dc.source | 1794-2470 | |
| dc.subject | Ciencias Médicas y de la Salud,Medicina Básica,Anatomía y morfología | |
| dc.subject | células cancerosas; modelos matemáticos; competencia por nutrientes; simulación computacional. | |
| dc.subject | Cancer cells, mathematical models, competition for nutrients, computer simulation. | |
| dc.title | Use Mathematical Models to Describe the Growth of Cancerous Tumors | |
| dc.title | Uso de modelos matemáticos para la descripción del crecimiento de tumores cancerosos | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | info:eu-repo/article/published | |
| dc.type | info:eu-repo/article/published | |
| dc.type | info:eu-repo/article/published |