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R. Barr and R. Plonsey, "Electrophysiological interaction through the interstitial space between adjacent unmyelinated parallel fibers," Biophysical Journal, vol. 61, pp. 1164--1175, 1992.

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Linear Algebraic Transformations of the Bidomain.. - Hooke, Henriquez.. (1992)   (Correct)

....very similar to that used by Roth. At each integration step, equations (8) and (26) were integrated using Euler s method. Then r Delta (oe i rOEm ) was used as a source term and equation (25) and Laplace s equation were solved using SOR iteration with Chebyshev acceleration[17] Barr and Plonsey[18]. In studying action potential propagation in two adjacent nerve fibres, Barr and Plonsey used a discrete one dimensional domain analogous to a spatially discretized bidomain. Neuman boundary conditions were applied at both ends and all potentials were expressed relative to a fixed combination of ....

R. Barr and R. Plonsey, "Electrophysiological interaction through the interstitial space between adjacent unmyelinated parallel fibers," Biophysical Journal, vol. 61, pp. 1164--1175, 1992.


Efficient Simulation of Action Potential Propagation in a Bidomain - Hooke (1992)   (1 citation)  (Correct)

....the cells at the tissue surface. 2 The membrane models described in Section 2.5 couple more differential equations to (2.1) and (2.2) but like Im those equations depend on OE i and OE e only through OE m , and so are satisfied by i and e . 3 Another approach was taken by Barr and Plonsey[12] for a related problem, who constrained a linear combination of potentials at four points. 4 I 5 I Cm I c 2 g 2 E 2 I g 1 1 E 1 I 3 I intracellular compartment Vm interstitial compartment Figure 2.3: Electrical circuit analogue for a hypothetical membrane model. The components, from the left, ....

....grid of 128 Theta 128 points that allowed higher spatial resolution than was available to Barr and Plonsey, they observed regions of hyperpolarization preceding depolarization and some differences in the shape of the depolarizing wavefront under conditions of extreme anisotropy. Barr and Plonsey[12]. The spatially discretized bidomain equations (2.33) 2.34) and (2.35) also arise in a study of action potential propagation in two adjacent nerve fibres done by Barr and Plonsey. Although not strictly a bidomain problem, the discretized domain used by Barr and Plonsey can be visualized from ....

R.C. Barr and R. Plonsey. Electrophysiological interaction through the interstitial space between adjacent unmyelinated parallel fibers. Biophysical Journal, 61:1164--1175, 1992.


Electrical Interactions via the Extracellular Potential Near.. - Holt, Koch (1998)   (Correct)

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Neurophysiol. 5:89-108. Barr, R. C., and Plonsey, R. 1992. Electrophysiological interaction through the interstitial space between adjacent unmyelinated parallel bers. Biophys. J. 61:1164-1175.

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