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A hyperelastic model for simulating cells in flow

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. Vol. 20 (2021) Issue 2 . - pp. 509-520.
ISSN 1617-7940
DOI: https://doi.org/10.1007/s10237-020-01397-2

Official URL: Volltext

Abstract in another language

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
Refereed: Yes
Keywords: hyperelasticity; cell deformation; Mooney–Rivlin; atomic force microscopy; shear flow; Lattice-Boltzmann
Institutions of the University: 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
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
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Profile Fields
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 530 Physics
Date Deposited: 20 Mar 2021 22:00
Last Modified: 07 Apr 2021 10:30
URI: https://eref.uni-bayreuth.de/id/eprint/64183