NEURAL TISSUE RESPONSE TO IMPACT - NUMERICAL STUDY OF WAVE PROPAGATION AT LEVEL OF NEURAL CELLS

Jiri Hozman ； Josef Bradáč ； Jan Kovanda

《Neural Network World》 24卷2期 (2014/04) Pp. 157-176

https://doi.org/10.14311/NNW.2014.24.010

摘要

In this article, we deal with a numerical solution of the issue concerning one-dimensional longitudinal mechanical wave propagation in linear elastic neural weakly heterogeneous media. The crucial idea is based on the discretization of the wave equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the Crank-Nicolson scheme for the time discretization. The linearity of the second-order hyperbolic problem leads to a solution of a sequence of linear algebraic systems at each time level. The numerical experiments performed for the single traveling wave and Gauss initial impact demonstrate the high-resolution properties of the presented numerical scheme. Moreover, a well-known linear stress-strain relationship enables us to analyze a high-frequency regime for the initial excitation impact with respect to strain-frequency dependency.

關鍵字

Wave propagation in neural medium ； discontinuous Galerkin method ； Crank-Nicolson scheme ； high-resolution semi-implicit scheme ； traveling wave ； energy invariant ； Gauss pulse ； critical frequency