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

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5, 1, 5 mm by numerical integration of (29) (and with essentially identical results from (25». These are plotted in Fig. 3. 2) mY (30) (where the added constant gives c(x) the property of zero average value, a necessary characteristic of fields determined from sources which are described by derivatives 3 2y m/3x2 or 3Ym/3x that eliminate constant components). The value of e at y = 0 corresponds to that expected from half the sum of the core-conductor field from the primary and the secondary (image) source.

To determine if the above relationships could be confirmed 15 A 0 III 0 (JlAlcm 2 ) B 20 170 200 VII (v/sec) VII ~. A/cm2) (mV) -400 1850 -80 -250 ¢. 95 iN. 0 -I~ msec Figure 4. Theoretical predictions: simulations relating extracellular and transmembrane potentials, and their derivatives to each other and to the sodium current and conductance during uniform (normal) propagation. Panel A: computed extracellular and transmembrane potentials (top) and their first time derivatives (bottom) for a uniformly propagating action potential.

Plot of analytical expressions for V m(x) and 3 2V m(x)/3x 2 used in the simulation (see equations (26) and (27». The ordinate values are in millivolts for Vmand relative values for 3 2Vm/3x2. A plot of Vm(26) and a 2v m/ax2 (27) is given in Fig. 2, for e = 20 em/sec, a crossfiber value frequently reported [10J and which we adopt here in our simulation. Conductivity parameters were derived from the experimental data of Clerc [4 J but with the assumption that cells occupy 80% of the tissue volume, a value currently expected (rather than the 70% assumed by Clerc).

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