Hyperelastic material properties of axonal fibers in brain white matter

Accurate characterization of the mechanical properties of the human brain at both microscopic and macroscopic length scales is a critical requirement for modeling of traumatic brain injury and brain folding. To date, most experimental studies that employ classical tension/compression/shear tests rep...

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Main Authors: Poorya Chavoshnejad, Guy K. German, Mir Jalil Razavi
Format: Article
Language:English
Published: Elsevier 2021-01-01
Series:Brain Multiphysics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666522021000150
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author Poorya Chavoshnejad
Guy K. German
Mir Jalil Razavi
author_facet Poorya Chavoshnejad
Guy K. German
Mir Jalil Razavi
author_sort Poorya Chavoshnejad
collection DOAJ
description Accurate characterization of the mechanical properties of the human brain at both microscopic and macroscopic length scales is a critical requirement for modeling of traumatic brain injury and brain folding. To date, most experimental studies that employ classical tension/compression/shear tests report the mechanical properties of the brain averaged over both the gray and white matter within the macroscopic regions of interest. As a result, there is a missing correlation between the independent mechanical properties of the microscopic constituent elements and the composite bulk macroscopic mechanical properties of the tissue. This microstructural computational study aims to inversely predict the hyperelastic mechanical properties of the axonal fibers and their surrounding extracellular matrix (ECM) from the bulk tissue's mechanical properties. We develop a representative volume element (RVE) model of the bulk tissue consisting of axonal fibers and ECM with the embedded element technique. A multiobjective optimization technique is implemented to calibrate the model and establish the independent mechanical properties of axonal fibers and ECM based on seven previously reported experimental mechanical tests for bulk white matter tissue from the corpus callosum. The result of the study shows that the discrepancy between the reported values for the elastic behavior of white matter in literature stems from the anisotropy of the tissue at the microscale. The shear modulus of the axonal fiber is seven times larger than the ECM, with axonal fibers that also show greater nonlinearity, contrary to the common assumption that both components exhibit identical nonlinear characteristics. Statement of significance: The reported mechanical properties of white matter microstructure used in traumatic brain injury or brain mechanics studies vary widely, in some cases by up to two orders of magnitude. Currently, the material parameters of the white matter microstructure are identified by a single loading mode or ultimately two modes of the bulk tissue. The presented material models only define the response of the bulk and homogenized white matter at a macroscopic scale and cannot explicitly capture the connection between the material properties of microstructure and bulk structure. To fill this knowledge gap, our study characterizes the hyperelastic material properties of axonal fibers and ECM using microscale computational modeling and multiobjective optimization. The hyperelastic material properties for axonal fibers and ECM presented in this study are more accurate than previously proposed because they have been optimized using seven or six loading modes of the bulk tissue, which were previously limited to only two of the seven possible loading modes. As such, the predicted values with high accuracy could be used in various computational modeling studies. The systematic characterization of the material properties of the human brain tissue at both macro- and microscales will lead to more accurate computational predictions, which will enable a better understanding of injury criteria, and has a positive impact on the improved development of smart protection systems, and more accurate prediction of brain development and disease progression.
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spelling doaj.art-36aed6f7c5c3471bbdb9059d8522f2a02022-12-21T19:33:56ZengElsevierBrain Multiphysics2666-52202021-01-012100035Hyperelastic material properties of axonal fibers in brain white matterPoorya Chavoshnejad0Guy K. German1Mir Jalil Razavi2Department of Mechanical Engineering, Binghamton University, State University of New York, Binghamton, NY 13902, USADepartment of Biomedical Engineering, Binghamton University, State University of New York, Binghamton, NY, 13902, USA; Department of Pharmaceutical Sciences, Binghamton University, State University of New York, Binghamton, NY, 13902, USADepartment of Mechanical Engineering, Binghamton University, State University of New York, Binghamton, NY 13902, USA; Corresponding author.Accurate characterization of the mechanical properties of the human brain at both microscopic and macroscopic length scales is a critical requirement for modeling of traumatic brain injury and brain folding. To date, most experimental studies that employ classical tension/compression/shear tests report the mechanical properties of the brain averaged over both the gray and white matter within the macroscopic regions of interest. As a result, there is a missing correlation between the independent mechanical properties of the microscopic constituent elements and the composite bulk macroscopic mechanical properties of the tissue. This microstructural computational study aims to inversely predict the hyperelastic mechanical properties of the axonal fibers and their surrounding extracellular matrix (ECM) from the bulk tissue's mechanical properties. We develop a representative volume element (RVE) model of the bulk tissue consisting of axonal fibers and ECM with the embedded element technique. A multiobjective optimization technique is implemented to calibrate the model and establish the independent mechanical properties of axonal fibers and ECM based on seven previously reported experimental mechanical tests for bulk white matter tissue from the corpus callosum. The result of the study shows that the discrepancy between the reported values for the elastic behavior of white matter in literature stems from the anisotropy of the tissue at the microscale. The shear modulus of the axonal fiber is seven times larger than the ECM, with axonal fibers that also show greater nonlinearity, contrary to the common assumption that both components exhibit identical nonlinear characteristics. Statement of significance: The reported mechanical properties of white matter microstructure used in traumatic brain injury or brain mechanics studies vary widely, in some cases by up to two orders of magnitude. Currently, the material parameters of the white matter microstructure are identified by a single loading mode or ultimately two modes of the bulk tissue. The presented material models only define the response of the bulk and homogenized white matter at a macroscopic scale and cannot explicitly capture the connection between the material properties of microstructure and bulk structure. To fill this knowledge gap, our study characterizes the hyperelastic material properties of axonal fibers and ECM using microscale computational modeling and multiobjective optimization. The hyperelastic material properties for axonal fibers and ECM presented in this study are more accurate than previously proposed because they have been optimized using seven or six loading modes of the bulk tissue, which were previously limited to only two of the seven possible loading modes. As such, the predicted values with high accuracy could be used in various computational modeling studies. The systematic characterization of the material properties of the human brain tissue at both macro- and microscales will lead to more accurate computational predictions, which will enable a better understanding of injury criteria, and has a positive impact on the improved development of smart protection systems, and more accurate prediction of brain development and disease progression.http://www.sciencedirect.com/science/article/pii/S2666522021000150AxonWhite matterMaterial propertiesHyperelasticFinite element method
spellingShingle Poorya Chavoshnejad
Guy K. German
Mir Jalil Razavi
Hyperelastic material properties of axonal fibers in brain white matter
Brain Multiphysics
Axon
White matter
Material properties
Hyperelastic
Finite element method
title Hyperelastic material properties of axonal fibers in brain white matter
title_full Hyperelastic material properties of axonal fibers in brain white matter
title_fullStr Hyperelastic material properties of axonal fibers in brain white matter
title_full_unstemmed Hyperelastic material properties of axonal fibers in brain white matter
title_short Hyperelastic material properties of axonal fibers in brain white matter
title_sort hyperelastic material properties of axonal fibers in brain white matter
topic Axon
White matter
Material properties
Hyperelastic
Finite element method
url http://www.sciencedirect.com/science/article/pii/S2666522021000150
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