A viscoelastic model of the brain parenchyma with pulsatile ventricular pressure

Abstract

In this paper, we present an extension of the model developed by Sivaloganathan et al. [Appl. Math. and Comput., to appear], which is of more physical relevance. We obtain explicit solutions for the displacement and stresses, and show how the mechanical parameters, that appear in the constitutive equation for the viscoelastic solid, can be calculated from data obtained from dynamic load experiments. Finally, we solve the boundary value problems corresponding to the case of adult hydrocephalus, as well as the more general case where both dilatational and deviatoric responses are assumed to be viscoelastic.