SEMIAUTOMATIC COMPUTER CONSTRUCTION OF 3-DIMENSIONAL SHAPES FOR THE FINITE-ELEMENT METHOD

Citation
S. Aharon et M. Bercovier, SEMIAUTOMATIC COMPUTER CONSTRUCTION OF 3-DIMENSIONAL SHAPES FOR THE FINITE-ELEMENT METHOD, Computer methods and programs in biomedicine, 41(2), 1993, pp. 135-146
Citations number
15
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Computer Science Interdisciplinary Applications","Engineering, Biomedical","Computer Science Theory & Methods
ISSN journal
01692607
Volume
41
Issue
2
Year of publication
1993
Pages
135 - 146
Database
ISI
SICI code
0169-2607(1993)41:2<135:SCCO3S>2.0.ZU;2-W
Abstract
Precise estimation of spatio-temporal distribution of ions (or other c onstitutives) in three-dimensional geometrical configuration plays a m ajor role in biology. Since a direct experimental information regardin g the free intracellular Ca2+ spatio-temporal distribution is not avai lable to date, mathematical models have been developed. Most of the ex isting models are based on the classical numerical method of finite-di fference (FD). Using this method one is limited when dealing with comp licated geometry, general boundary conditions and variable or non-line ar material properties. These difficulties are easily solved when the finite-element-method (FEM) is employed. The first step in the impleme ntation of the FEM procedure is the mesh generation which is the singl e most tedious, time consuming task and vulnerable to mistake. In orde r to overcome these limitations we developed a new interface called AU TOMESH. This tool is used as a preprocessor program which generates tw o- and three-dimensional meshes for some known and often-used shapes i n neurobiology. AUTOMESH creates an appropriate mesh by using the mesh generator commercial tool of FIDAP.