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
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.