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This article is cited in 1 scientific paper (total in 1 paper)
APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY
Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid
N. I. Semenovaab, V. V. Tuchina a FEMTO-ST Institute & University Bourgogne Franche-Comte, Besancon, France
b Saratov State University, Russia
Abstract:
The purpose of this work is to study the peculiarities of external influence, namely osmotic pressure, on cancer cells. Methods. For this purpose, spatially distributed systems describing the dynamics of a three-dimensional cell lattice, a cell spheroid, and a cell surface have been considered. The studied models are based on the basic principles of hydrodynamics, and their numerical simulation has been performed using a modified Euler method. Results. The paper proposes three-dimensional models to study the dynamics of cancer cells in the epidermal layer of the skin; the models include the possibility of adding additional pressure and changing it with a single parameter. It is shown that it is possible to achieve a slowdown of cancer cell growth in all considered models at certain values of osmotic pressure.
Keywords:
cancer cells, cellular lattice, cell spheroid, self-organizing, osmotic pressure, logistic growth.
Received: 27.05.2021
Citation:
N. I. Semenova, V. V. Tuchin, “Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:4 (2021), 559–570
Linking options:
https://www.mathnet.ru/eng/ivp435 https://www.mathnet.ru/eng/ivp/v29/i4/p559
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