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Literature DB >> 2221506

A planar slab bidomain model for cardiac tissue.

Abstract

A fully three-dimensional model of the ventricular or atrial free wall will involve a planar geometry of finite thickness. The governing equations for the interstitial and extracellular potential of a planar slab of cardiac tissue comprised of parallel fibers undergoing uniform plane-wave activation are presented. A comparison with a bidomain of cylindrical geometry with the same half-thickness shows that the potentials in the planar bidomain (as a function of depth) approach core-conductor behavior more quickly.

Mesh：

Year: 1990 PMID： 2221506 DOI： 10.1007/bf02364155

Source DB: PubMed Journal: Ann Biomed Eng ISSN： 0090-6964 Impact factor: 3.934

12 in total

1. Simulation of propagation along a cylindrical bundle of cardiac tissue--I: Mathematical formulation.

Authors: C S Henriquez; R Plonsey
Journal: IEEE Trans Biomed Eng Date: 1990-09 Impact factor: 4.538

2. Simulation of propagation along a cylindrical bundle of cardiac tissue--II: Results of simulation.

Authors: C S Henriquez; R Plonsey
Journal: IEEE Trans Biomed Eng Date: 1990-09 Impact factor: 4.538

3. Propagating depolarization in anisotropic human and canine cardiac muscle: apparent directional differences in membrane capacitance. A simplified model for selective directional effects of modifying the sodium conductance on Vmax, tau foot, and the propagation safety factor.

Authors: M S Spach; P C Dolber; J F Heidlage; J M Kootsey; E A Johnson
Journal: Circ Res Date: 1987-02 Impact factor: 17.367

Review 4. Bioelectric sources arising in excitable fibers (ALZA lecture).

Authors: R Plonsey
Journal: Ann Biomed Eng Date: 1988 Impact factor: 3.934

5. Interstitial potentials and their change with depth into cardiac tissue.

Authors: R Plonsey; R C Barr
Journal: Biophys J Date: 1987-04 Impact factor: 4.033

6. Potential and current distributions in a cylindrical bundle of cardiac tissue.

Authors: C S Henriquez; N Trayanova; R Plonsey
Journal: Biophys J Date: 1988-06 Impact factor: 4.033

7. The discontinuous nature of electrical propagation in cardiac muscle. Consideration of a quantitative model incorporating the membrane ionic properties and structural complexities. The ALZA distinguished lecture.

Authors: M S Spach
Journal: Ann Biomed Eng Date: 1983 Impact factor: 3.934

8. Interaction between ventricular cells during the early part of excitation in the ferret heart.

Authors: M Suenson
Journal: Acta Physiol Scand Date: 1985-09

9. The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect the membrane currents.

Authors: M S Spach; W T Miller; D B Geselowitz; R C Barr; J M Kootsey; E A Johnson
Journal: Circ Res Date: 1981-01 Impact factor: 17.367

10. Anisotropic conduction properties of canine ventricular muscles. Influence of high extracellular K+ concentration and stimulation frequency.

Authors: N Tsuboi; I Kodama; J Toyama; K Yamada
Journal: Jpn Circ J Date: 1985-05

5 in total

A planar slab bidomain model for cardiac tissue.

1. Simulation of propagation along a cylindrical bundle of cardiac tissue--I: Mathematical formulation.

2. Simulation of propagation along a cylindrical bundle of cardiac tissue--II: Results of simulation.

3. Propagating depolarization in anisotropic human and canine cardiac muscle: apparent directional differences in membrane capacitance. A simplified model for selective directional effects of modifying the sodium conductance on Vmax, tau foot, and the propagation safety factor.

Review 4. Bioelectric sources arising in excitable fibers (ALZA lecture).

5. Interstitial potentials and their change with depth into cardiac tissue.

6. Potential and current distributions in a cylindrical bundle of cardiac tissue.

7. The discontinuous nature of electrical propagation in cardiac muscle. Consideration of a quantitative model incorporating the membrane ionic properties and structural complexities. The ALZA distinguished lecture.

8. Interaction between ventricular cells during the early part of excitation in the ferret heart.

9. The discontinuous nature of propagation in normal canine cardiac muscle. Evidence for recurrent discontinuities of intracellular resistance that affect the membrane currents.

10. Anisotropic conduction properties of canine ventricular muscles. Influence of high extracellular K+ concentration and stimulation frequency.

1. A comparison of two boundary conditions used with the bidomain model of cardiac tissue.

2. Effect of a perfusing bath on the rate of rise of an action potential propagating through a slab of cardiac tissue.

3. Mechanism of anode break stimulation in the heart.

4. Nonlinear summation of junction potentials in a three-dimensional syncytium.

Review 5. Multi-scale computational modelling in biology and physiology.