Tumor cells proliferation and migration under the influence of their microenvironment
It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.371 |
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| author | Avner Friedman Yangjin Kim |
| author_facet | Avner Friedman Yangjin Kim |
| author_sort | Avner Friedman |
| collection | DOAJ |
| description | It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. In particular, a review of the literature of avasculartumor growth (up to 2006) can be found in Lolas [8](G. Lolas, Lecture Notes in Mathematics, Springer Berlin / Heidelberg,1872, 77 (2006)).In this article we report on some of our recent work. We considertwo aspects, proliferation and of migration, and describemathematical models based on in vitro experiments. Simulations ofthe models are in agreement with experimental results. The modelscan be used to generate hypotheses regarding the developmentof drugs which will confine tumor growth. |
| format | Article |
| id | doaj-art-cf527c1421b94c26bb91512648cbaf95 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-cf527c1421b94c26bb91512648cbaf952025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018237138310.3934/mbe.2011.8.371Tumor cells proliferation and migration under the influence of their microenvironmentAvner Friedman0Yangjin Kim1Department of Mathematics, Ohio State University, Columbus, OH 43210Department of Mathematics, Ohio State University, Columbus, OH 43210It is well known that tumor microenvironment affects tumor growth and metastasis:Tumor cells may proliferate at different rates and migrate indifferent patterns depending on the microenvironment in which they are embedded.There is a huge literature that deals with mathematical models oftumor growth and proliferation, in both the avascular andvascular phases. In particular, a review of the literature of avasculartumor growth (up to 2006) can be found in Lolas [8](G. Lolas, Lecture Notes in Mathematics, Springer Berlin / Heidelberg,1872, 77 (2006)).In this article we report on some of our recent work. We considertwo aspects, proliferation and of migration, and describemathematical models based on in vitro experiments. Simulations ofthe models are in agreement with experimental results. The modelscan be used to generate hypotheses regarding the developmentof drugs which will confine tumor growth.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.371microenvironment.cancertumor growth |
| spellingShingle | Avner Friedman Yangjin Kim Tumor cells proliferation and migration under the influence of their microenvironment Mathematical Biosciences and Engineering microenvironment. cancer tumor growth |
| title | Tumor cells proliferation and migration under the influence of their microenvironment |
| title_full | Tumor cells proliferation and migration under the influence of their microenvironment |
| title_fullStr | Tumor cells proliferation and migration under the influence of their microenvironment |
| title_full_unstemmed | Tumor cells proliferation and migration under the influence of their microenvironment |
| title_short | Tumor cells proliferation and migration under the influence of their microenvironment |
| title_sort | tumor cells proliferation and migration under the influence of their microenvironment |
| topic | microenvironment. cancer tumor growth |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.371 |
| work_keys_str_mv | AT avnerfriedman tumorcellsproliferationandmigrationundertheinfluenceoftheirmicroenvironment AT yangjinkim tumorcellsproliferationandmigrationundertheinfluenceoftheirmicroenvironment |