A Bidomain Model Based BEM-FEM Coupling Formulation for Anisotropic Cardiac Tissue

2000 ◽  
Vol 28 (10) ◽  
pp. 1229-1243 ◽  
Author(s):  
G. Fischer ◽  
B. Tilg ◽  
R. Modre ◽  
G. J. M. Huiskamp ◽  
J. Fetzer ◽  
...  
Keyword(s):  
Cardiac Tissue ◽  
Bidomain Model ◽  
Model Based

Engineered cardiac tissue analyzed using the mechanical bidomain model

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Kharananda Sharma ◽  
Bradley J. Roth
Keyword(s):  
Cardiac Tissue ◽  
Bidomain Model

scholarly journals Numerical Simulations of Fractionated Electrograms and Pathological Cardiac Action Potential

2002 ◽  
Vol 4 (3) ◽  
pp. 167-181 ◽  
Author(s):  
Simona Sanfelici
Keyword(s):  
Numerical Simulations ◽  
Cardiac Tissue ◽  
Time Discretization ◽  
Ionic Currents ◽  
Bidomain Model ◽  
Approximation Process ◽  
Point Of Interest ◽  
Intracellular Conductivity ◽  
Membrane Ionic Currents ◽  
Fractionated Electrograms

The aim of this work is twofold. First we focus on the complex phenomenon of electrogram fractionation, due to the presence of discontinuities in the conduction properties of the cardiac tissue in a bidomain model. Numerical simulations of paced activation may help to understand the role of the membrane ionic currents and of the changes in cellular coupling in the formation of conduction blocks and fractionation of the electrogram waveform. In particular, we show that fractionation is independent ofINAalterations and that it can be described by the bidomain model of cardiac tissue. Moreover, some deflections in fractionated electrograms may give nonlocal information about the shape of damaged areas, also revealing the presence of inhomogeneities in the intracellular conductivity of the medium at a distance.The second point of interest is the analysis of the effects of space–time discretization on numerical results, especially during slow conduction in damaged cardiac tissue. Indeed, large discretization steps can induce numerical artifacts such as slowing down of conduction velocity, alteration in extracellular and transmembrane potential waveforms or conduction blocks, which are not predicted by the continuous bidomain model. Several possible numerical and physiological explanations of these effects are given. Essentially, the discrete system obtained at the end of the approximation process may be interpreted as a discrete model of the cardiac tissue made up of isopotential cells where the effective intracellular conductivity tensor depends on the space discretization steps; the increase of these steps results in an increase of the effective intracellular resistance and can induce conduction blocks if a certain critical value is exceeded.

scholarly journals The Mechanical Bidomain Model: A Review

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Bradley J. Roth
Keyword(s):  
Cell Membrane ◽  
Theoretical Analysis ◽  
Cardiac Tissue ◽  
Elastic Behavior ◽  
Bidomain Model ◽  
Future Directions ◽  
Open Questions ◽  
Model Predictions ◽  
Tissue Surface ◽  
Primary Advantage

The mechanical bidomain model is a new mathematical description of the elastic behavior of cardiac tissue. Its primary advantage over previous models is that it accounts for forces acting across the cell membrane arising from differences in the displacement of the intracellular and extracellular spaces. In this paper, I describe the development of the mechanical bidomain model. I emphasize new predictions of the model, such as the existence of boundary layers at the tissue surface where the membrane forces are large, and pressure differences between the intracellular and extracellular spaces. Although the theoretical analysis is quite mathematical, I highlight the types of experiments that could be used to test the model predictions. Finally, I present open questions about the mechanical bidomain model that may be productive future directions for research.

Modification of a cylindrical bidomain model for cardiac tissue

1991 ◽  
Vol 104 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Natalia Trayanova ◽  
Craig S. Henriquez
Keyword(s):  
Cardiac Tissue ◽  
Bidomain Model
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