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This article is cited in 5 scientific papers (total in 5 papers)
ANALYSIS AND MODELING OF COMPLEX LIVING SYSTEMS
Influence of random malignant cell motility on growing tumor front stability
A. V. Kolobov, A. A. Polezhaev Lebedev Physical Institute, Leninskiy av. 53, Moscow, GSP-1, 119991, Russia
Abstract:
Chemotaxis plays an important role in morphogenesis and processes of structure formation in nature. Both unicellular organisms and single cells in tissue demonstrate this property. In vitro experiments show that many types of transformed cell, especially metastatic competent, are capable for directed motion in response usually to chemical signal. There is a number of theoretical papers on mathematical modeling of tumour growth and invasion using Keller–Segel model for the chemotactic motility of cancer cells. One of the crucial questions for using the chemotactic term in modelling of tumour growth is a lack of reliable quantitative estimation of its parameters. The 2-D mathematical model of tumour growth and invasion, which takes into account only random cell motility and convective fluxes in compact tissue, has showed that due to competitive mechanism tumour can grow toward sources of nutrients in absence of chemotactic cell motility.
Keywords:
tumor growth, tumor invasion, convection, cell motility.
Received: 15.06.2008
Citation:
A. V. Kolobov, A. A. Polezhaev, “Influence of random malignant cell motility on growing tumor front stability”, Computer Research and Modeling, 1:2 (2009), 225–232
Linking options:
https://www.mathnet.ru/eng/crm640 https://www.mathnet.ru/eng/crm/v1/i2/p225
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Abstract page: | 105 | Full-text PDF : | 53 | References: | 16 |
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