Literature DB >> 1781568

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

B J Roth1.   

Abstract

In the bidomain model, two alternative sets of boundary conditions at the interface between cardiac tissue and a saline bath have been used. It is shown that these boundary conditions are equivalent if the length constant of the tissue in the direction transverse to the fibers is much larger than the radius of the individual cardiac cells. If this is not the case, the relative merits of the two boundary conditions are closely related to the question of the applicability of a continuum model, such as the bidomain model, to describe a discrete multicellular tissue.

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Year:  1991        PMID: 1781568     DOI: 10.1007/bf02368075

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


  17 in total

1.  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

2.  A planar slab bidomain model for cardiac tissue.

Authors:  C S Henriquez; N Trayanova; R Plonsey
Journal:  Ann Biomed Eng       Date:  1990       Impact factor: 3.934

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Authors:  L Clerc
Journal:  J Physiol       Date:  1976-02       Impact factor: 5.182

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

5.  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

6.  Implications of structure and geometry on cardiac electrical activity.

Authors:  J R Sommer
Journal:  Ann Biomed Eng       Date:  1983       Impact factor: 3.934

7.  Electric potential in three-dimensional electrically syncytial tissues.

Authors:  A Peskoff
Journal:  Bull Math Biol       Date:  1979       Impact factor: 1.758

8.  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

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Authors:  S Weidmann
Journal:  J Physiol       Date:  1970-11       Impact factor: 5.182

10.  Electrical constants of arterially perfused rabbit papillary muscle.

Authors:  A G Kléber; C B Riegger
Journal:  J Physiol       Date:  1987-04       Impact factor: 5.182

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  8 in total

1.  Mechanism for polarisation of cardiac tissue at a sealed boundary.

Authors:  B J Roth
Journal:  Med Biol Eng Comput       Date:  1999-07       Impact factor: 2.602

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

Authors:  B J Roth
Journal:  Ann Biomed Eng       Date:  1996 Nov-Dec       Impact factor: 3.934

3.  Simulating epileptic seizures using the bidomain model.

Authors:  Jakob Schreiner; Kent-Andre Mardal
Journal:  Sci Rep       Date:  2022-06-16       Impact factor: 4.996

4.  Analysis of bipolar external excitation of spherical tissue by spatially opposed current source and sink points.

Authors:  Benjamin L Schwartz; Rosalind J Sadleir
Journal:  Conf Proc IEEE Eng Med Biol Soc       Date:  2015

5.  Local Gradients in Electrotonic Loading Modulate the Local Effective Refractory Period: Implications for Arrhythmogenesis in the Infarct Border Zone.

Authors:  Adam Connolly; Mark L Trew; Bruce H Smaill; Gernot Plank; Martin J Bishop
Journal:  IEEE Trans Biomed Eng       Date:  2015-04-09       Impact factor: 4.538

6.  Bidomain Predictions of Virtual Electrode-Induced Make and Break Excitations around Blood Vessels.

Authors:  Adam J Connolly; Edward Vigmond; Martin J Bishop
Journal:  Front Bioeng Biotechnol       Date:  2017-03-27

7.  Analytic Modeling of Neural Tissue: I. A Spherical Bidomain.

Authors:  Benjamin L Schwartz; Munish Chauhan; Rosalind J Sadleir
Journal:  J Math Neurosci       Date:  2016-09-09       Impact factor: 1.300

8.  Ventricular Endocardial Tissue Geometry Affects Stimulus Threshold and Effective Refractory Period.

Authors:  Adam Connolly; Allen Kelly; Fernando O Campos; Rachel Myles; Godfrey Smith; Martin J Bishop
Journal:  Biophys J       Date:  2018-11-09       Impact factor: 4.033

  8 in total

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