Geodesic
Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 29 (2021) no. 4, pp. 559-570.

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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. 
@article{IVP_2021_29_4_a6,
     author = {N. I. Semenova and V. V. Tuchin},
     title = {Impact of osmotic pressure on cancer cells in a three-dimensional cellular lattice and cell spheroid},
     journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
     pages = {559--570},
     publisher = {mathdoc},
     volume = {29},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVP_2021_29_4_a6/}
}
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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, Tome 29 (2021) no. 4, pp. 559-570. http://geodesic.mathdoc.fr/item/IVP_2021_29_4_a6/