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A hyperelastic model for simulating cells in flow

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005339
URN to cite this document: urn:nbn:de:bvb:703-epub-5339-4

Title data

Müller, Sebastian J. ; Weigl, Franziska ; Bezold, Carina ; Bächer, Christian ; Albrecht, Krystyna ; Gekle, Stephan:
A hyperelastic model for simulating cells in flow.
In: Biomechanics and Modeling in Mechanobiology. (20 November 2020) . - 12 S.
ISSN 1617-7940
DOI der Verlagsversion: https://doi.org/10.1007/s10237-020-01397-2

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Abstract

In the emerging field of 3D bioprinting, cell damage due to large deformations is considered a main cause for cell death and loss of functionality inside the printed construct. Those deformations, in turn, strongly depend on the mechano-elastic response of the cell to the hydrodynamic stresses experienced during printing. In this work, we present a numerical model to simulate the deformation of biological cells in arbitrary three-dimensional flows. We consider cells as an elastic continuum according to the hyperelastic Mooney–Rivlin model. We then employ force calculations on a tetrahedralized volume mesh. To calibrate our model, we perform a series of FluidFM$$^{{\textregistered }}$$compression experiments with REF52 cells demonstrating that all three parameters of the Mooney–Rivlin model are required for a good description of the experimental data at very large deformations up to 80%. In addition, we validate the model by comparing to previous AFM experiments on bovine endothelial cells and artificial hydrogel particles. To investigate cell deformation in flow, we incorporate our model into Lattice Boltzmann simulations via an Immersed-Boundary algorithm. In linear shear flows, our model shows excellent agreement with analytical calculations and previous simulation data.

Further data

Item Type: Article in a journal
Keywords: hyperelasticity; cell deformation; Mooney–Rivlin; atomic force microscopy; shear flow; Lattice-Boltzmann
DDC Subjects: 500 Science > 530 Physics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids - Univ.-Prof. Dr. Stephan Gekle
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Professor Theoretical Physics VI - Simulation and Modelling of Biofluids
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5339-4
Date Deposited: 18 Mar 2021 10:36
Last Modified: 18 Mar 2021 10:37
URI: https://epub.uni-bayreuth.de/id/eprint/5339

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