Neural tissue response to impact - numerical study of wave propagation at level of neural cells

Title:

Neural tissue response to impact - numerical study of wave propagation at level of neural cells

Creator:

Hozman, Jiří, Bradáč , Josef, and Kovanda, Jan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:acaae719-014f-4018-85e5-49b06ab80ad8
uuid:acaae719-014f-4018-85e5-49b06ab80ad8
doi:10.14311/NNW.2014.24.010

Subject:

Wave propagation in neural medium, discontinuous Galerkin method, Crank-Nicolson shceme, high-resolution semi-implict scheme, traveling wave, energy invariant, Gauss pulse, and critical frequency

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Neural network world: international journal on neural and mass-parallel computing and information systems | 2014 Volume:24 | Number:2

Harvested from:

CDK

Metadata only:

false