This article is cited in 2 papers

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. Semenova^ab, V. V. Tuchin<sup>a

a</sup> 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.

UDC: 530.182, 616.5-006

Received: 27.05.2021

DOI: 10.18500/0869-6632-2021-29-4-559-570

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