Initiation and termination of spiral waves in a two-dimensional bidomain model of cardiac tissue

2002 ◽  
Author(s):  
N.V. Thakor ◽  
M.G. Fishler
Keyword(s):  
Cardiac Tissue ◽  
Spiral Waves ◽  
Bidomain Model ◽  
Two Dimensional

SPATIOTEMPORAL IRREGULARITY IN A TWO-DIMENSIONAL MODEL OF CARDIAC TISSUE

1991 ◽  
Vol 01 (01) ◽  
pp. 219-225 ◽  
Author(s):  
A. V. PANFILOV ◽  
A. V. HOLDEN
Keyword(s):  
Cardiac Tissue ◽  
Numerical Solutions ◽  
Spiral Waves ◽  
Excitable Medium ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model ◽  
Solutions Of Equations

Meandering spiral waves are well-known solutions of equations that represent a two-dimensional excitable medium. Numerical solutions of a model for a sheet of cardiac tissue show transient meandering vortices that break down spontaneously into spatiotemporal irregularity.

Cardiac electrical restitution properties and stability of reentrant spiral waves: a simulation study

1999 ◽  
Vol 276 (1) ◽  
pp. H269-H283 ◽  
Author(s):  
Zhilin Qu ◽  
James N. Weiss ◽  
Alan Garfinkel
Keyword(s):  
Action Potential ◽  
Antiarrhythmic Drugs ◽  
Cardiac Tissue ◽  
Potential Model ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Two Dimensional ◽  
Recovery From Inactivation ◽  
Main Determinants ◽  
The Stability

Spiral wave breakup is a proposed mechanism underlying the transition from ventricular tachycardia to fibrillation. We examined the importance of the restitution of action potential duration (APD) and of conduction velocity (CV) to the stability of spiral wave reentry in a two-dimensional sheet of simulated cardiac tissue. The Luo-Rudy ventricular action potential model was modified to eliminate its restitution properties, which are caused by deactivation or recovery from inactivation of K+, Ca2+, and Na+ currents ( I K, I Ca, and I Na, respectively). In this model, we find that 1) restitution of I Ca and I Na are the main determinants of the steepness of APD restitution; 2) for promoting spiral breakup, the range of diastolic intervals over which the APD restitution slope is steep is more important than the maximum steepness; 3) CV restitution promotes spiral wave breakup independently of APD restitution; and 4) “defibrillation” of multiple spiral wave reentry is most effectively achieved by combining an antifibrillatory intervention based on altering restitution with an antitachycardia intervention. These findings suggest a novel paradigm for developing effective antiarrhythmic drugs.

Computer simulations of successful defibrillation in decoupled and non-uniform cardiac tissue

EP Europace ◽  
2005 ◽  
Vol 7 (s2) ◽  
pp. S166-S177 ◽  
Author(s):  
N. H. L. Kuijpers ◽  
R. H. Keldermann ◽  
T. Arts ◽  
P. A. J. Hilbers
Keyword(s):  
Electric Fields ◽  
Cardiac Tissue ◽  
Spiral Waves ◽  
Electrode Polarization ◽  
Field Stimulation ◽  
Bidomain Model ◽  
Active Membrane ◽  
External Domain ◽  
Virtual Electrodes ◽  
Homogeneous Tissue

Abstract Aim The aim of the present study is to investigate the origin and effect of virtual electrode polarization in uniform, decoupled and non-uniform cardiac tissue during field stimulation. Methods A discrete bidomain model with active membrane behaviour was used to simulate normal cardiac tissue as well as cardiac tissue that is decoupled due to fibrosis and gap junction remodelling. Various uniform and non-uniform electric fields were applied to the external domain of uniform, decoupled and non-uniform resting cardiac tissue as well as cardiac tissue in which spiral waves were induced. Results Field stimulation applied on non-uniform tissue results in more virtual electrodes compared with uniform tissue. The spiral waves were terminated in decoupled tissue, but not in uniform, homogeneous tissue. By gradually increasing local differences in intracellular conductivities, the amount and spread of virtual electrodes increased and the spiral waves were terminated. Conclusion Fast depolarization of the tissue after field stimulation may be explained by intracellular decoupling and spatial heterogeneity present in normal and pathological cardiac tissue. We demonstrated that termination of spiral waves by means of field stimulation can be achieved when the tissue is modelled as a non-uniform, anisotropic bidomain with active membrane behaviour.

Effects of Electroporation on the Transmembrane Potential Distribution in a Two-Dimensional Bidomain Model of Cardiac Tissue

1999 ◽  
Vol 10 (5) ◽  
pp. 701-714 ◽  
Author(s):  
FELIPE AGUEL ◽  
KATHERINE A. DEBRUTN ◽  
WANDA KRASSOWSKA ◽  
NATALIA A. TRAYANOVA
Keyword(s):  
Potential Distribution ◽  
Transmembrane Potential ◽  
Cardiac Tissue ◽  
Bidomain Model ◽  
Two Dimensional

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

Incorporation of two‐dimensional nanomaterials into silk fibroin nanofibers for cardiac tissue engineering

2019 ◽  
Vol 31 (2) ◽  
pp. 248-259 ◽  
Author(s):  
Hojjatollah Nazari ◽  
Asieh Heirani‐Tabasi ◽  
Maryam Hajiabbas ◽  
Masoud Khalili ◽  
Mohammadhossein Shahsavari Alavijeh ◽  
...  
Keyword(s):  
Tissue Engineering ◽  
Silk Fibroin ◽  
Cardiac Tissue ◽  
Cardiac Tissue Engineering ◽  
Two Dimensional ◽  
Silk Fibroin Nanofibers

scholarly journals LOCALIZATION OF RESPONSE FUNCTIONS OF SPIRAL WAVES IN THE FITZHUGH–NAGUMO SYSTEM

2006 ◽  
Vol 16 (05) ◽  
pp. 1547-1555 ◽  
Author(s):  
I. V. BIKTASHEVA ◽  
A. V. HOLDEN ◽  
V. N. BIKTASHEV
Keyword(s):  
External Force ◽  
Wave Solution ◽  
Spiral Wave ◽  
Spiral Waves ◽  
Two Dimensional ◽  
Response Functions ◽  
Space And Time ◽  
Wave Drift ◽  
Linearized Problem ◽  
Small Periodic

Dynamics of spiral waves in perturbed, e.g. slightly inhomogeneous or subject to a small periodic external force, two-dimensional autowave media can be described asymptotically in terms of Aristotelean dynamics, so that the velocities of the spiral wave drift in space and time are proportional to the forces caused by the perturbation. The forces are defined as a convolution of the perturbation with the spirals Response Functions, which are eigenfunctions of the adjoint linearized problem. In this paper we find numerically the Response Functions of a spiral wave solution in the classic excitable FitzHugh–Nagumo model, and show that they are effectively localized in the vicinity of the spiral core.

scholarly journals Six Conductivity Values to Use in the Bidomain Model of Cardiac Tissue

2016 ◽  
Vol 63 (7) ◽  
pp. 1525-1531 ◽  
Author(s):  
Barbara M. Johnston
Keyword(s):  
Cardiac Tissue ◽  
Bidomain Model

Evaluation of different two-dimensional chromatographic techniques for proteomic analysis of mouse cardiac tissue

2010 ◽  
Vol 25 (5) ◽  
pp. 594-599 ◽  
Author(s):  
Luciano Callipo ◽  
Anna Laura Capriotti ◽  
Chiara Cavaliere ◽  
Riccardo Gubbiotti ◽  
Roberto Samperi ◽  
...  
Keyword(s):  
Proteomic Analysis ◽  
Cardiac Tissue ◽  
Two Dimensional ◽  
Chromatographic Techniques

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.

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