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An elasto-visco-plastic model of cell aggregates.

L Preziosi¹, D Ambrosi, C Verdier

¹Department of Mathematics - Politecnico di Torino, Italy. preziosi@polito.it

Journal of Theoretical Biology

|August 29, 2009

Summary

This study introduces a new elasto-visco-plastic model for concentrated cell suspensions. The model accurately describes cell aggregate mechanics, including yield stress, aligning with experimental data.

Area of Science:

Rheology
Biophysics
Materials Science

Background:

Concentrated cell suspensions display complex mechanical behaviors, including elastic, viscoelastic, and adhesive properties.
The fluid medium is typically Newtonian, contrasting with the cells' rheological nature.

Purpose of the Study:

To develop and validate a novel elasto-visco-plastic model for concentrated cell suspensions and aggregates.
To link the macroscopic constitutive equation's yield stress to the microscopic rearrangement of adhesion bonds.

Main Methods:

Development of a new elasto-visco-plastic constitutive model.
Comparison of model predictions against five distinct experimental tests.

Main Results:

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The model successfully describes the mechanical properties of concentrated cell suspensions.

Predictions align with experimental data from steady shear rate, oscillatory shearing, stress relaxation, elastic recovery, and uniaxial compression tests.

Conclusions:

The proposed elasto-visco-plastic model provides a robust framework for understanding cell aggregate mechanics.
The model's success in matching experimental results validates the proposed link between bond rearrangement and yield stress.