ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Semenova N. И., Tuchin V. V. Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid. Izvestiya VUZ. Applied Nonlinear Dynamics, 2021, vol. 29, iss. 4, pp. 559-570. DOI: 10.18500/0869-6632-2021-29-4-559-570

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
530.182, 616.5-006
DOI: 
10.18500/0869-6632-2021-29-4-559-570

Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid

Autors: 
Semenova Nadezhda Игоревна, Saratov State University
Tuchin Valerij Viktorovich, Saratov State University
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.

Key words: 
cancer cells
cellular lattice
cell spheroid
self-organizing
osmotic pressure
logistic growth
Acknowledgments: 
This study is supported by the grant of RF Government No. 14.Z50.31.0044
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Received: 
27.05.2021
Accepted: 
28.06.2021
Published: 
30.07.2021
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