Труды Института механики им. Р.Р. Мавлютова

ISSN 2542–0380

Электронный научный журнал | Electronic Scientific Journal

Proceedings of the Mavlyutov Institute of Mechanics

Kireev V.N., Solnyshkina O.A. Numerical simulation of the spherically symmetric tumor growth in the lymph node Proceedings of the Institute of Mechanics of Ufa Branch of RAS. 7 (2010). 143–152.

2010. Vol. 7. Issue 1, Pp. 143–152
URL: http://proc.uimech.org/uim2010.1.012,en
DOI: 10.21662/uim2010.1.012

Numerical simulation of the spherically symmetric tumor growth in the lymph node

Kireev V.N., Solnyshkina O.A.

Institute of Mechanics, Ufa

Abstract

Within the framework of the multiphase systems mechanics we consider the mathematical model of the initial stage of the tumor growth in a lymph node consisting of two kinds of cells. Adhesive intercellular interaction and distribution of nutrients (oxygen) are taken into account. For a spherically symmetric case, the distribution of tumor growth parameters was numerically obtained and some features of its development at the initial stage were defined.