caa a22 4500 465739644 CHVBK 20180323111805.0 cr unu---uuuuu 170327e19900101xx s 000 0 eng 10.1007/BF02368414 doi (NATIONALLICENCE)springer-10.1007/BF02368414 A new cable model formulation based on Green's theorem [Elektronische Daten] [L. Leon, F. Roberge] We describe an alternative formulation of the cable equation to model excitation in a cylinder of cardiac fiber. The formulation uses Green's theorem to develop equations for the extracellular and intracellular potential on either side of the excitable membrane, the dynamics of which are described by a Hodgkin-Huxley type model, without assuming that the radial current is zero. These equations are discretized to yield a system of linear equations which are solved at each instant in time. We found no qualitative differences between this approach and the standard cable model for parameters within accepted physiological limits. When the cable diameter is of the same order as the length constant the new formulation takes into account the intracellular potential change in the radial direction and gives an accurate expression of the conduction velocity. Pergamon Press plc, 1990 Leon L. Institut de Génie Biomédical, Université de Montréal, P.O. Box 6128, St. A, H3C 3J7, Montréal, Québec, Canada aut Roberge F. Institut de Génie Biomédical, Université de Montréal, P.O. Box 6128, St. A, H3C 3J7, Montréal, Québec, Canada aut Annals of Biomedical Engineering Kluwer Academic Publishers 18/1(1990-01-01), 1-17 0090-6964 18:1<1 1990 18 10439 https://doi.org/10.1007/BF02368414 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02368414 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Leon L. Institut de Génie Biomédical, Université de Montréal, P.O. Box 6128, St. A, H3C 3J7, Montréal, Québec, Canada aut NATIONALLICENCE 700 1- Roberge F. Institut de Génie Biomédical, Université de Montréal, P.O. Box 6128, St. A, H3C 3J7, Montréal, Québec, Canada aut NATIONALLICENCE 773 0- Annals of Biomedical Engineering Kluwer Academic Publishers 18/1(1990-01-01), 1-17 0090-6964 18:1<1 1990 18 10439 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer