Application of the BEM in biopotential problems

Abstract We describe how the boundary element method (BEM) can be used in the general field of biopotential problems. We present here a cubic Hermite boundary element procedure for this purpose and show how this approach is computationally more efficient than traditional BEM procedures for solving potential-related problems. We also show how these C 1 interpolation functions can be used to model the complex domains that are present in many biopotential problems. Illustrative biopotentials results for two different clinically important areas are given. The first area deals with potentials generated by the heart (electrocardiography) while the second field is related to potentials arising from brain activity (electroencephalography).

[1]  Andrew J. Pullan,et al.  ON THE CHOICE OF A DERIVATIVE BOUNDARY ELEMENT FORMULATION USING HERMITE INTERPOLATION , 1996 .

[2]  Chris P. Bradley,et al.  A coupled cubic hermite finite element/boundary element procedure for electrocardiographic problems , 1996 .

[3]  Michael A. Saunders,et al.  User''s guide for NPSOL (Ver-sion 4.0): A FORTRAN package for nonlinear programming , 1984 .

[4]  C. Bradley,et al.  Effects of Material Properties and Geometry on Electrocardiographic Forward Simulations , 2000, Annals of Biomedical Engineering.

[5]  Onno W. Weier,et al.  On the numerical accuracy of the boundary element method (EEG application) , 1989, IEEE Transactions on Biomedical Engineering.

[6]  Andrew J. Pullan,et al.  The computational performance of a high-order coupled FEM/BEM procedure in electropotential problems , 2001, IEEE Transactions on Biomedical Engineering.

[7]  P. Hunter,et al.  Mathematical model of geometry and fibrous structure of the heart. , 1991, The American journal of physiology.

[8]  Andrew J. Pullan A high-order coupled finite element/boundary element torso model , 1996 .

[9]  J. P. Ary,et al.  Location of Sources of Evoked Scalp Potentials: Corrections for Skull and Scalp Thicknesses , 1981, IEEE Transactions on Biomedical Engineering.

[10]  Andrew J. Pullan,et al.  Electrocardiographic inverse validation study: Model development and methodology , 2000 .

[11]  Alistair A. Young,et al.  Epicardial surface estimation from coronary angiograms , 1989, Comput. Vis. Graph. Image Process..