R. C. Barr and R. Plonsey, "Propagation of excitation in idealized anisotropic two-dimensional tissue," Biophysical Journal, vol. 45, pp. 1191--1202, 1984. Home/Search Document Not in Database Summary Related Articles Check |
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Linear Algebraic Transformations of the Bidomain.. - Hooke, Henriquez.. (1992) (Correct)
....a monodomain equation within the bidomain equations. For equal anisotropy ratios, the monodomain equation decouples from the bidomain equations. Two useful choices for Q are: Q 1i = 1 0 1 Gamma1 # ) OE i OE m # Q 1e = 0 1 1 Gamma1 # ) OE e OE m # Barr and Plonsey[10]. In the earliest such work, Barr and Plonsey numerically solved the bidomain equations with a membrane based model to obtain a propagating action potential. Using analysis described in an earlier paper[11] they implicitly applied the transformation [P 1i ; Q 1i ] to obtain the equations r ....
R. C. Barr and R. Plonsey, "Propagation of excitation in idealized anisotropic two-dimensional tissue," Biophysical Journal, vol. 45, pp. 1191--1202, 1984.
Efficient Simulation of Action Potential Propagation in a Bidomain - Hooke (1992) (1 citation) (Correct)
....reported in [49, 82, 106, 109] infinite domains are commonly used. In a few numerical solutions the effect of an infinite domain has been produced. Sepulveda et al. 104, 106] obtained this effect in a finite element computation using special infinity elements on the boundary. Barr and Plonsey[11] obtained a similar effect with a finite difference computation using an adaptive grid method described in Section 2.6.1. Sahakian et al. 102] demonstrated a computational technique for one dimensional simulations in which currents were applied across the boundary to mimic the currents crossing a ....
....more sophisticated approaches, which allow local grid refinement to change dynamically in response to the spatial discretization error, are common in other branches of scientific computing[4] they have not been reported in the research literature for this class of problems. Barr and Plonsey[11] describe a spatially adaptive method that is somewhat simpler, known as Dynamically Tracking the Active Region (DTAR) This method assumes a uniform fine grid to exist throughout the domain, but at each integration step calculations are performed only for a subset of the grid points. DTAR is ....
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R. C. Barr and R. Plonsey. Propagation of excitation in idealized anisotropic twodimensional tissue. Biophysical Journal, 45:1191--1202, 1984.
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