Research Article Open Access

A Biomechanical Composite Model to Determine Effective Elastic Moduli of the CNS Gray Matter

Mehdi Khoshgoftar1, Siamak Najarian1, Farhad Farmanzad1, Bahman Vahidi1 and Farhad Tabatabai Ghomshe1
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American Journal of Applied Sciences
Volume 4 No. 11, 2007, 918-924

DOI: https://doi.org/10.3844/ajassp.2007.918.924

Submitted On: 5 June 2007 Published On: 30 November 2007

How to Cite: Khoshgoftar, M., Najarian, S., Farmanzad, F., Vahidi, B. & Ghomshe, F. T. (2007). A Biomechanical Composite Model to Determine Effective Elastic Moduli of the CNS Gray Matter. American Journal of Applied Sciences, 4(11), 918-924. https://doi.org/10.3844/ajassp.2007.918.924

Abstract

Brain tissue is a heterogeneous material with complicated microstructural features. Models based on microstructure can lead to more accurate and physically realistic predictions of mechanical characteristics of brain tissue. A two-step Mori-Tanaka/Voigt homogenization procedure is implemented into a 3D microstructurally-based multi-phase composite model, composed of randomly-oriented elastic axons, dendrites and neuronal cell bodies surrounded by an elastic matrix. The effects of microstructure-related scale on the effective elastic moduli of the cerebral cortex are analyzed by comparing the predictions from classical and micropolar continuum theories. For the first time, composite material rules and micropolar continuum theory have been utilized to investigate brain biomechanics. These findings can assist future efforts to be directed towards relating the microstructural aspects of the brain tissue to its macroscopic behavior.

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Keywords

  • CNS Gray Matter
  • Micromechanics
  • Micropolar Composite
  • Effective Properties