Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy
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| Natura: | Artículo científico |
| Lingua: | en |
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Universidad del Valle
2022
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| _version_ | 1876467310130102272 |
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| author | Jesús A. Mesa-Zora |
| author_facet | Jesús A. Mesa-Zora |
| contents | Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy Jesús A. Mesa-Zora Rubén J. Camargo-Amado Ignacio Barradas Ingeniería Cancer stability immune system dynamic system photodynamic therapy A simple mathematical model is presented that consists of a system of two ordinary differential equations (ODEs), applicable to the interaction between cancer cells, the immune system and a photodynamic therapy based on the previous observations of the Physicochemical Research Group of Bio and Nanomaterials of the Universidad del Valle (Basante et al., 2016, Basante, 2017) where an exponential effect is assumed. The consequences of the treatment are analyzed based on the stability analysis of the dynamic system, finding that it is possible to find adequate conditions for the elimination of cancer. 2022 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291374362022 https://www.redalyc.org/journal/2913/291374362022/ https://www.redalyc.org/journal/2913/291374362022/html/ https://www.redalyc.org/journal/2913/291374362022/291374362022.epub https://www.redalyc.org/journal/2913/291374362022/movil 10.25100/iyc.v24i2.11721 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.24 |
| format | Artículo científico |
| id | redalyc_291374362022 |
| institution | Redalyc |
| language | en |
| publishDate | 2022 |
| publisher | Universidad del Valle |
| spellingShingle | Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy Jesús A. Mesa-Zora Ingeniería Cancer stability immune system dynamic system photodynamic therapy Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy Jesús A. Mesa-Zora Rubén J. Camargo-Amado Ignacio Barradas Ingeniería Cancer stability immune system dynamic system photodynamic therapy A simple mathematical model is presented that consists of a system of two ordinary differential equations (ODEs), applicable to the interaction between cancer cells, the immune system and a photodynamic therapy based on the previous observations of the Physicochemical Research Group of Bio and Nanomaterials of the Universidad del Valle (Basante et al., 2016, Basante, 2017) where an exponential effect is assumed. The consequences of the treatment are analyzed based on the stability analysis of the dynamic system, finding that it is possible to find adequate conditions for the elimination of cancer. 2022 artículo científico 0123-3033 https://www.redalyc.org/articulo.oa?id=291374362022 https://www.redalyc.org/journal/2913/291374362022/ https://www.redalyc.org/journal/2913/291374362022/html/ https://www.redalyc.org/journal/2913/291374362022/291374362022.epub https://www.redalyc.org/journal/2913/291374362022/movil 10.25100/iyc.v24i2.11721 en http://www.redalyc.org/revista.oa?id=2913 Ingeniería y Competitividad application/pdf Universidad del Valle Ingeniería y Competitividad (Colombia) Num.2 Vol.24 |
| title | Mathematical model for the competitive interaction between cancer cells and the immune system with cancer therapy |
| topic | Ingeniería Cancer stability immune system dynamic system photodynamic therapy |
| url | https://www.redalyc.org/articulo.oa?id=291374362022 https://www.redalyc.org/journal/2913/291374362022/ https://www.redalyc.org/journal/2913/291374362022/html/ https://www.redalyc.org/journal/2913/291374362022/291374362022.epub https://www.redalyc.org/journal/2913/291374362022/movil |