A Mixed Analytical and Numerical Method for Brain Poroelastic Models

Abstract

In this study we proposed a mixed analytical and numerical method for brain poroelastic models Single-network and multicompartmental poroelastic models are applied to describe the interaction between the displacement of the brain tissue and the pressure of various cerebrospinal fluid General solutions of the steady state are derived analytically and the coefficients are solved numerically to agree with the boundary conditions For dynamical problems non-physical oscillation is eliminated by finite difference method with staggered grid The numerical experiments show the second-order convergence for the steady state solutions Wave transmission in brain is observed when an impact is applied to the boundary The results show that the wave decays in time and the displacement eventually converges to the steady state

Date of Award	2020
Original language	English
Supervisor	Yu-Chen Shu (Supervisor)