Medical Engineering & Physics
Volume 28, Issue 5 , Pages 449-454, June 2006

The constitutive properties of the brain parenchyma:

Part 1. Strain energy approach

  • M. Kohandel

      Affiliations

    • Department of Applied Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1
    • Corresponding Author InformationCorresponding author. +1 519 888 4567; fax: +1 519 746 8115.
    web address
    • ,
  • S. Sivaloganathan

      Affiliations

    • Department of Applied Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1
    • ,
  • G. Tenti

      Affiliations

    • Department of Applied Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1
    • ,
  • J.M. Drake

      Affiliations

    • Division of Neurosurgery, The Hospital for Sick Children, Toronto, Ont., Canada M5G 1X8

Received 19 July 2004; received in revised form 10 January 2005; accepted 15 January 2005. published online 02 November 2005.

Abstract 

In this paper we study several constitutive equations for the brain based on the strain energy density function. We use the polynomial function and hyper-elastic Ogden model for the strain energy and include the energy dissipation by a Prony series expansion. The models are compared with known unconfined compression experimental results of the human brain tissue to obtain the best fitted model and brain mechanical parameters. Finite element simulations are also performed using the given constitutive equations, and numerical solutions match the analytical results very closely. The results are compared with other analytical and numerical calculations.

Keywords: Brain biomechanics, Viscoelasticity, Finite element method, Mathematical modeling

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PII: S1350-4533(05)00184-0

doi:10.1016/j.medengphy.2005.01.005

Medical Engineering & Physics
Volume 28, Issue 5 , Pages 449-454, June 2006

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