Approximate solution to the bidomain equations for electrocardiogram problems. Export

@article{citeulike:620773, abstract = {Simulating the electrocardiogram requires specifying the transmembrane potential distribution within the heart and calculating the potential on the surface of the body. Often, such calculations are based on the bidomain model of cardiac tissue. A subtle but fundamental problem arises when considering the boundary between the cardiac tissue and the surrounding volume conductor. In general, one finds that two potentials--the extracellular potential in the tissue and the potential in the surrounding bath--obey three boundary conditions, implying that the potentials are overdetermined. In this paper, we derive a general method for handling bidomain boundary conditions that eliminates this problem. The gist of the method is that we add an additional term to the transmembrane potential that falls exponentially with depth into the tissue. The purpose of this term is to satisfy the third boundary condition. Then, we take the limit as the length constant associated with this extra term goes to zero. Our result is two boundary conditions that approximately account for the full set of three boundary conditions at the tissue surface.}, address = {Department of Physics, Oakland University, Rochester, Michigan 48309, USA.}, author = {Patel, S. G. and Roth, B. J.}, citeulike-article-id = {620773}, citeulike-linkout-0 = {http://view.ncbi.nlm.nih.gov/pubmed/16383669}, citeulike-linkout-1 = {http://www.hubmed.org/display.cgi?uids=16383669}, issn = {1539-3755}, journal = {Phys Rev E Stat Nonlin Soft Matter Phys}, keywords = {bidomain, cardiac, cardiac\_electrophysiology, ecg, ekg, electrocardiogram, electrophysiology, heart, medicine}, month = {November}, number = {5 Pt 1}, posted-at = {2006-05-09 23:50:52}, priority = {4}, title = {Approximate solution to the bidomain equations for electrocardiogram problems.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/16383669}, volume = {72}, year = {2005} }

TY - JOUR ID - citeulike:620773 L3 - citeulike-article-id:620773 N2 - Simulating the electrocardiogram requires specifying the transmembrane potential distribution within the heart and calculating the potential on the surface of the body. Often, such calculations are based on the bidomain model of cardiac tissue. A subtle but fundamental problem arises when considering the boundary between the cardiac tissue and the surrounding volume conductor. In general, one finds that two potentials--the extracellular potential in the tissue and the potential in the surrounding bath--obey three boundary conditions, implying that the potentials are overdetermined. In this paper, we derive a general method for handling bidomain boundary conditions that eliminates this problem. The gist of the method is that we add an additional term to the transmembrane potential that falls exponentially with depth into the tissue. The purpose of this term is to satisfy the third boundary condition. Then, we take the limit as the length constant associated with this extra term goes to zero. Our result is two boundary conditions that approximately account for the full set of three boundary conditions at the tissue surface. IS - 5 Pt 1 JF - Phys Rev E Stat Nonlin Soft Matter Phys SN - 1539-3755 AD - Department of Physics, Oakland University, Rochester, Michigan 48309, USA. TI - Approximate solution to the bidomain equations for electrocardiogram problems. VL - 72 KW - bidomain KW - cardiac KW - cardiac_electrophysiology KW - ecg KW - ekg KW - electrocardiogram KW - electrophysiology KW - heart KW - medicine AU - Patel, SG AU - Roth, BJ PY - 2005/11// UR - http://view.ncbi.nlm.nih.gov/pubmed/16383669 ER -