Mathematical modeling of cancer growth process: A review
Although cancer is a leading cause of death, a little is known about the mechanism of its growth and destruction. Mathematical models explaining these mechanisms are crucial to predict the behaviour of cancer cells proliferation. Perusal of the literature dealing with mathematical modelling of cance...
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| Format: | Conference or Workshop Item |
| Language: | English |
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IOP Publishing
2019
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| Online Access: | http://umpir.ump.edu.my/id/eprint/25594/ http://umpir.ump.edu.my/id/eprint/25594/1/9.%20Mathematical%20modeling%20of%20cancer%20growth%20process%20-%20a%20review.pdf |
| _version_ | 1848822318458994688 |
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| author | Tabassum, Shabana Norhayati, Rosli Mazma Sayahidatul Ayuni, Mazalan |
| author_facet | Tabassum, Shabana Norhayati, Rosli Mazma Sayahidatul Ayuni, Mazalan |
| author_sort | Tabassum, Shabana |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | Although cancer is a leading cause of death, a little is known about the mechanism of its growth and destruction. Mathematical models explaining these mechanisms are crucial to predict the behaviour of cancer cells proliferation. Perusal of the literature dealing with mathematical modelling of cancer initiation, proliferation and metastases is abundant. Mathematical models to simulate the growth rate of the cancer cells have been derived from both deterministic and stochastic considerations. Early model of tumor growth by diffusion was first introduced and then set the scene for many later mathematical models for solid tumors. In this article we review the deterministic and stochastic models that have been developing to discuss the tumor growth initiation and proliferation. The findings and interpretations are summarized, and the main research issues are highlighted |
| first_indexed | 2025-11-15T02:39:20Z |
| format | Conference or Workshop Item |
| id | ump-25594 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:39:20Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-255942020-04-13T01:28:40Z http://umpir.ump.edu.my/id/eprint/25594/ Mathematical modeling of cancer growth process: A review Tabassum, Shabana Norhayati, Rosli Mazma Sayahidatul Ayuni, Mazalan TK Electrical engineering. Electronics Nuclear engineering Although cancer is a leading cause of death, a little is known about the mechanism of its growth and destruction. Mathematical models explaining these mechanisms are crucial to predict the behaviour of cancer cells proliferation. Perusal of the literature dealing with mathematical modelling of cancer initiation, proliferation and metastases is abundant. Mathematical models to simulate the growth rate of the cancer cells have been derived from both deterministic and stochastic considerations. Early model of tumor growth by diffusion was first introduced and then set the scene for many later mathematical models for solid tumors. In this article we review the deterministic and stochastic models that have been developing to discuss the tumor growth initiation and proliferation. The findings and interpretations are summarized, and the main research issues are highlighted IOP Publishing 2019 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/25594/1/9.%20Mathematical%20modeling%20of%20cancer%20growth%20process%20-%20a%20review.pdf Tabassum, Shabana and Norhayati, Rosli and Mazma Sayahidatul Ayuni, Mazalan (2019) Mathematical modeling of cancer growth process: A review. In: Journal of Physics: Conference Series, 2nd International Conference on Applied & Industrial Mathematics and Statistics (ICoAIMS 2019) , 23-25 July 2019 , Kuantan, Pahang, Malaysia. pp. 1-6., 1366 (012018). ISSN 1742-6588 (print); 1742-6596 (online) (Published) https://doi.org/10.1088/1742-6596/1366/1/012018 |
| spellingShingle | TK Electrical engineering. Electronics Nuclear engineering Tabassum, Shabana Norhayati, Rosli Mazma Sayahidatul Ayuni, Mazalan Mathematical modeling of cancer growth process: A review |
| title | Mathematical modeling of cancer growth process: A review |
| title_full | Mathematical modeling of cancer growth process: A review |
| title_fullStr | Mathematical modeling of cancer growth process: A review |
| title_full_unstemmed | Mathematical modeling of cancer growth process: A review |
| title_short | Mathematical modeling of cancer growth process: A review |
| title_sort | mathematical modeling of cancer growth process: a review |
| topic | TK Electrical engineering. Electronics Nuclear engineering |
| url | http://umpir.ump.edu.my/id/eprint/25594/ http://umpir.ump.edu.my/id/eprint/25594/ http://umpir.ump.edu.my/id/eprint/25594/1/9.%20Mathematical%20modeling%20of%20cancer%20growth%20process%20-%20a%20review.pdf |