Influence of random malignant cell motility on growing tumor front stability

 pdf (384K)  / List of references

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
Citation in English: Kolobov A.V., Polezhaev A.A. Influence of random malignant cell motility on growing tumor front stability // Computer Research and Modeling, 2009, vol. 1, no. 2, pp. 225-232
Citation in English: Kolobov A.V., Polezhaev A.A. Influence of random malignant cell motility on growing tumor front stability // Computer Research and Modeling, 2009, vol. 1, no. 2, pp. 225-232
DOI: 10.20537/2076-7633-2009-1-2-225-232
According to Crossref, this article is cited by:
  • Dmitry Anatolievich Bratsun, Andrey Pavlovich Zakharov, Len M. Pismen. Multiscale mathematical modeling occurrence and growth of a tumour in an epithelial tissue. // Computer Research and Modeling. 2014. — V. 6, no. 4. — P. 585. DOI: 10.20537/2076-7633-2014-6-4-585-604
  • Ivan Vasilyevich Krasnyakov, Dmitry Anatolievich Bratsun, Len M. Pismen. Mathematical modeling of carcinoma growth with a dynamic change in the phenotype of cells. // Computer Research and Modeling. 2018. — V. 10, no. 6. — P. 879. DOI: 10.20537/2076-7633-2018-10-6-879-902
Please note that citation information may be incomplete as it includes data from Crossref cited-by program partners only.

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the List of Russian peer-reviewed journals publishing the main research results of PhD and doctoral dissertations.

International Interdisciplinary Conference "Mathematics. Computing. Education"

The journal is included in the RSCI

Indexed in Scopus