Open Access
Open access
MDPI
Mathematics
,  volume 9 ,  issue 18 ,  pages 2333

Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid

Publication type: Journal Article
Publication date: 2021-09-20
MDPI
scimago Q2
wos Q1
SJR: 0.498
CiteScore: 4.6
Impact factor: 2.2
ISSN: 22277390
General Mathematics
Computer Science (miscellaneous)
Engineering (miscellaneous)
Abstract

Parallel-plate compression of multicellular spheroids (MCSs) is a promising and popular technique to quantify the viscoelastic properties of living tissues. This work presents two different approaches to the simulation of the MCS compression based on viscoelastic solid and viscoelastic fluid models. The first one is the standard linear solid model implemented in ABAQUS/CAE. The second one is the new model for 3D viscoelastic free surface fluid flow, which combines the Oldroyd-B incompressible fluid model and the incompressible neo-Hookean solid model via incorporation of an additional elastic tensor and a dynamic equation for it. The simulation results indicate that either approach can be applied to model the MCS compression with reasonable accuracy. Future application of the viscoelastic free surface fluid model is the MCSs fusion highly-demanded in bioprinting.

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GOST |
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GOST Copy
Yanbarisov R. et al. Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid // Mathematics. 2021. Vol. 9. No. 18. p. 2333.
GOST all authors (up to 50) Copy
Yanbarisov R., Efremov Y. M., Kosheleva N. V., Timashev P. S., Vassilevski Y. V. Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid // Mathematics. 2021. Vol. 9. No. 18. p. 2333.
RIS |
Cite this
RIS Copy
TY - JOUR
DO - 10.3390/math9182333
UR - https://www.mdpi.com/2227-7390/9/18/2333
TI - Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid
T2 - Mathematics
AU - Yanbarisov, Ruslan
AU - Efremov, Yuri M.
AU - Kosheleva, Nastasia V.
AU - Timashev, Petr S.
AU - Vassilevski, Yuri V.
PY - 2021
DA - 2021/09/20
PB - MDPI
SP - 2333
IS - 18
VL - 9
SN - 2227-7390
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@article{2021_Yanbarisov,
author = {Ruslan Yanbarisov and Yuri M. Efremov and Nastasia V. Kosheleva and Petr S. Timashev and Yuri V. Vassilevski},
title = {Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid},
journal = {Mathematics},
year = {2021},
volume = {9},
publisher = {MDPI},
month = {sep},
url = {https://www.mdpi.com/2227-7390/9/18/2333},
number = {18},
pages = {2333},
doi = {10.3390/math9182333}
}
MLA
Cite this
MLA Copy
Yanbarisov, Ruslan, et al. “Numerical modelling of multicellular spheroid compression: Viscoelastic fluid vs. viscoelastic solid.” Mathematics, vol. 9, no. 18, Sep. 2021, p. 2333. https://www.mdpi.com/2227-7390/9/18/2333.