Title :
A linear discretization of the volume conductor boundary integral equation using analytically integrated elements (electrophysiology application)
Author_Institution :
Netherlands Inst. for Sea Res., Texel, Netherlands
Abstract :
A method is presented to compute the potential distribution on the surface of a homogeneous isolated conductor of arbitrary shape. The method is based on an approximation of a boundary integral equation as a set of linear algebraic equations. The potential is described as a piecewise linear or quadratic function. The matrix elements of the discretized equation are expressed as analytical formulas.
Keywords :
bioelectric potentials; matrix algebra; physiological models; analytical formulas; analytically integrated elements; arbitrary shape conduction; electrophysiology; homogeneous isolated conductor; linear discretization; matrix elements; piecewise linear function; potential distribution computation method; quadratic function; volume conductor boundary integral equation; Biomedical computing; Brain modeling; Computational modeling; Conductivity; Conductors; Integral equations; Physics computing; Sea surface; Shape; Solids; Action Potentials; Biophysics; Electrodes; Electrophysiology; Equipment Design; Evaluation Studies as Topic; Linear Models; Mathematical Computing;
Journal_Title :
Biomedical Engineering, IEEE Transactions on