Viscoelastic parameter identification of human brain tissue

Journal article
(Original article)

Publication Details

Author(s): Budday S, Sommer G, Holzapfel GA, Steinmann P, Kuhl E
Journal: Journal of the Mechanical Behavior of Biomedical Materials
Publication year: 2017
Volume: 74
Pages range: 463-476
ISSN: 1751-6161


Understanding the constitutive behavior of the human brain is critical to interpret the physical environment during neurodevelopment, neurosurgery, and neurodegeneration. A wide variety of constitutive models has been proposed to characterize the brain at different temporal and spatial scales. Yet, their model parameters are typically calibrated with a single loading mode and fail to predict the behavior under arbitrary loading condi- tions. Here we used a finite viscoelastic Ogden model with six material parameters–an elastic stiffness, two viscoelastic stiffnesses, a nonlinearity parameter, and two viscous time constants–to model the characteristic nonlinearity, conditioning, hysteresis and tension-compression asymmetry of the human brain. We calibrated the model under shear, shear relaxation, compression, compression relaxation, and tension for four different regions of the human brain, the cortex, basal ganglia, corona radiata, and corpus callosum. Strikingly, un- conditioned gray matter with 0.36 kPa and white matter with 0.35 kPa were equally stiff, whereas conditioned gray matter with 0.52 kPa was three times stiffer than white matter with 0.18 kPa. While both unconditioned viscous time constants were larger in gray than in white matter, both conditioned constants were smaller. These rheological differences suggest a different porosity between both tissues and explain–at least in part–the ongoing controversy between reported stiffness differences in gray and white matter. Our unconditioned and conditioned parameter sets are readily available for finite element simulations with commercial software packages that feature Ogden type models at finite deformations. As such, our results have direct implications on improving the accuracy of human brain simulations in health and disease.

FAU Authors / FAU Editors

Budday, Silvia Dr.-Ing.
Lehrstuhl für Technische Mechanik
Steinmann, Paul Prof. Dr.-Ing.
Lehrstuhl für Technische Mechanik

External institutions with authors

Stanford University
Technische Universität Graz

How to cite

Budday, S., Sommer, G., Holzapfel, G.A., Steinmann, P., & Kuhl, E. (2017). Viscoelastic parameter identification of human brain tissue. Journal of the Mechanical Behavior of Biomedical Materials, 74, 463-476.

Budday, Silvia, et al. "Viscoelastic parameter identification of human brain tissue." Journal of the Mechanical Behavior of Biomedical Materials 74 (2017): 463-476.


Last updated on 2018-02-08 at 18:10