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Cited by 178Elasticity and Material ModelingAdvanced Neuroimaging Techniques and ApplicationsAutomotive and Human Injury Biomechanics

Viscoelastic parameter identification of human brain tissue

Budday, S., Sommer, G., Holzapfel, G.A., Steinmann, P., Kuhl, E.·2017·Journal of the Mechanical Behavior of Biomedical Materials
DOI 10.1016/j.jmbbm.2017.07.014
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Abstract

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 conditions. 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, unconditioned gray matter with 0.36kPa and white matter with 0.35kPa were equally stiff, whereas conditioned gray matter with 0.52kPa was three times stiffer than white matter with 0.18kPa. 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.

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  • Many relevant tissues are viscoelastic, with brain tissue in particular having a strong dissipative component (high loss modulus) in its response to stress and slight differences in viscoelastic properties between white matter and gray matter.

    “Many relevant tissues are viscoelastic, with brain tissue in particular not only having a strong dissipative component (i.e., high loss modulus) in its response to stress137 but also having slight differences in viscoelastic properties between white matter and gray matter138.”

    From Towards organoid culture without Matrigel (2021) · cites this paper as [138]

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Related

Authors
Budday, S., Sommer, G., Holzapfel, G. A., Steinmann, P., & Kuhl, E.
Affiliations
  • Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
  • Graz University of Technology (AT)
  • Norwegian University of Science and Technology (NO)
ORCID
Venue
Journal of the Mechanical Behavior of Biomedical Materials
Publisher
Elsevier BV
Published
2017-10
Volume
74
Pages
463-476
ISSN
1751-6161 (ISSN-L)
DOI
10.1016/j.jmbbm.2017.07.014
OpenAlex
W2735642356
Cited by
178
References
44
Citations by year
2026: 15 · 2025: 29 · 2024: 22 · 2023: 24 · 2022: 17 · 2021: 26 · 2020: 21 · 2019: 18 · 2018: 6
FWCI
5.54
Type
journal article
Language
en
Open access
closed
Licence
Locations
  • Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials (publishedVersion)
  • PubMed (publishedVersion)
  • ENLIGHTEN (Jurnal Bimbingan dan Konseling Islam) (acceptedVersion)
Topics
  • Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
  • Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
  • Health Sciences › Medicine › Pulmonary and Respiratory Medicine › Automotive and Human Injury Biomechanics
Keywords
human brain tissue, viscoelasticity, Ogden model, constitutive modeling, parameter estimation, gray matter, white matter, tissue stiffness, hysteresis, tension-compression asymmetry, porosity, large deformation, brain biomechanics, finite element analysis
MeSH terms
Biomechanical Phenomena, Brain, Elasticity, Humans, Models, Biological, Rheology, Viscosity, Finite Element Analysis, White Matter, Gray Matter

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