Download PDF by M. S. Spach, P. Dolber, J. F. Heidlage (auth.), S. Sideman: Activation, Metabolism and Perfusion of the Heart:

By M. S. Spach, P. Dolber, J. F. Heidlage (auth.), S. Sideman D.Sc., R. Beyar M.D., D.Sc. (eds.)

ISBN-10: 9400933134

ISBN-13: 9789400933132

ISBN-10: 9401079870

ISBN-13: 9789401079877

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Extra info for Activation, Metabolism and Perfusion of the Heart: Simulation and experimental models

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745 is obtained from (24). The evaluation of ct>e can now be made by numerical integration of (25), and this was actually done. However, a more satisfactory approach is first to integrate over x' by parts. Following this it becomes possible to integrate with respect to Y'. The result is to reduce the required numerical integration to one dimension and to eliminate the infinite integrals. This final result is ct> (x, Y) = ~ ( e giX) 21T gix + g" [1 x' (1 - F) avm tan-I (~) dx' ax' x - x' 1T(1 + F) (V m(x) - Vm) ].

Both (30) and (32) can also be obtained from an evaluation of (29). Figure 3 reflects a general result that was expected: At y = 0, e is small, and fibers at the surface can be treated as if they were isolated, lying in an unbounded medium. Conversely, for large y, the Iinear-core-conductor relations of (6) and (7) apply and peak-to-peak values e of 12 mY are expected and obtained. In fact, values roughly in this range are actually seen with conventional unipolar interstitial (plunge electrode) recordings [11].

This paper examines an idealized semi-infinite preparation, for which a rigorous solution is possible, in order to develop some guidance regarding the behavior of the interstitial potentials as a function of depth into the tissue. Such information is indispensable in the evaluation of source strength within, say, cardiac muscle, which consists of multiple layers of excitable fibers. Bidomain semi-infinite model We consider a uniform semi-infinite region of cardiac tissue consisting of z oriented fibers that extend frOln y = 0 to y = 00.

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Activation, Metabolism and Perfusion of the Heart: Simulation and experimental models by M. S. Spach, P. Dolber, J. F. Heidlage (auth.), S. Sideman D.Sc., R. Beyar M.D., D.Sc. (eds.)


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