Hybrid discrete-continuous model of invasive bladder cancer
Bladder cancer is the seventh most common cancer worldwide.Epidemiological studies and experiments implicated chemicalpenetration into urothelium (epithelial tissue surrounding bladder) inthe etiology of bladder cancer.In this workwe model invasive bladder cancer. This type of cancer starts in theur...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.729 |
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| author | Eugene Kashdan Svetlana Bunimovich-Mendrazitsky |
| author_facet | Eugene Kashdan Svetlana Bunimovich-Mendrazitsky |
| author_sort | Eugene Kashdan |
| collection | DOAJ |
| description | Bladder cancer is the seventh most common cancer worldwide.Epidemiological studies and experiments implicated chemicalpenetration into urothelium (epithelial tissue surrounding bladder) inthe etiology of bladder cancer.In this workwe model invasive bladder cancer. This type of cancer starts in theurothelium and progresses towards surroundingmuscles and tissues, causing metastatic disease.Our mathematical model of invasive BC consists of two coupledsub-models: (i) living cycle of the urothelial cells (normal and mutated) simulatedusing discrete technique of Cellular Automata and (ii) mechanism oftumor invasion described by the system of reaction-diffusionequations. Numerical simulations presented here are in good qualitative agreementwith the experimental results and reproduce in vitroobservations described in medical literature. |
| format | Article |
| id | doaj-art-b49e8f310bf34c47b6050e6cb06fd37e |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b49e8f310bf34c47b6050e6cb06fd37e2025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110372974210.3934/mbe.2013.10.729Hybrid discrete-continuous model of invasive bladder cancerEugene Kashdan0Svetlana Bunimovich-Mendrazitsky1School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978Bladder cancer is the seventh most common cancer worldwide.Epidemiological studies and experiments implicated chemicalpenetration into urothelium (epithelial tissue surrounding bladder) inthe etiology of bladder cancer.In this workwe model invasive bladder cancer. This type of cancer starts in theurothelium and progresses towards surroundingmuscles and tissues, causing metastatic disease.Our mathematical model of invasive BC consists of two coupledsub-models: (i) living cycle of the urothelial cells (normal and mutated) simulatedusing discrete technique of Cellular Automata and (ii) mechanism oftumor invasion described by the system of reaction-diffusionequations. Numerical simulations presented here are in good qualitative agreementwith the experimental results and reproduce in vitroobservations described in medical literature.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.729cellular automatabladder cancerreaction-diffusion equations.metaloproteinases |
| spellingShingle | Eugene Kashdan Svetlana Bunimovich-Mendrazitsky Hybrid discrete-continuous model of invasive bladder cancer Mathematical Biosciences and Engineering cellular automata bladder cancer reaction-diffusion equations. metaloproteinases |
| title | Hybrid discrete-continuous model of invasive bladder cancer |
| title_full | Hybrid discrete-continuous model of invasive bladder cancer |
| title_fullStr | Hybrid discrete-continuous model of invasive bladder cancer |
| title_full_unstemmed | Hybrid discrete-continuous model of invasive bladder cancer |
| title_short | Hybrid discrete-continuous model of invasive bladder cancer |
| title_sort | hybrid discrete continuous model of invasive bladder cancer |
| topic | cellular automata bladder cancer reaction-diffusion equations. metaloproteinases |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.729 |
| work_keys_str_mv | AT eugenekashdan hybriddiscretecontinuousmodelofinvasivebladdercancer AT svetlanabunimovichmendrazitsky hybriddiscretecontinuousmodelofinvasivebladdercancer |