scholarly journals Spiral-wave dynamics in ionically realistic mathematical models for human ventricular tissue: the effects of periodic deformation

2014 ◽  
Vol 5 ◽  
Author(s):  
Alok R. Nayak ◽  
Rahul Pandit
Keyword(s):  
Mathematical Models ◽  
Spiral Wave ◽  
Wave Dynamics ◽  
Periodic Deformation ◽  
Ventricular Tissue

scholarly journals Spiral-wave dynamics depend sensitively on inhomogeneities in mathematical models of ventricular tissue

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
T. K. Shajahan ◽  
Sitabhra Sinha ◽  
Rahul Pandit
Keyword(s):  
Mathematical Models ◽  
Spiral Wave ◽  
Wave Dynamics ◽  
Ventricular Tissue

scholarly journals Spiral-Wave Dynamics in a Mathematical Model of Human Ventricular Tissue with Myocytes and Fibroblasts

PLoS ONE ◽  
2013 ◽  
Vol 8 (9) ◽  
pp. e72950 ◽  
Author(s):  
Alok Ranjan Nayak ◽  
T. K. Shajahan ◽  
A. V. Panfilov ◽  
Rahul Pandit
Keyword(s):  
Mathematical Model ◽  
Spiral Wave ◽  
Wave Dynamics ◽  
Ventricular Tissue

scholarly journals Spiral-wave dynamics in a mathematical model of human ventricular tissue with myocytes and Purkinje fibers

2017 ◽  
Vol 95 (2) ◽  
Author(s):  
Alok Ranjan Nayak ◽  
A. V. Panfilov ◽  
Rahul Pandit
Keyword(s):  
Mathematical Model ◽  
Spiral Wave ◽  
Purkinje Fibers ◽  
Wave Dynamics ◽  
Ventricular Tissue

Effect of Two-Part Inhomogeneity on Spiral Wave Dynamics in Excitable Media

2011 ◽  
Author(s):  
Huan Zhang ◽  
Guoyong Yuan ◽  
Hongling Fan ◽  
Shaoying Chen
Keyword(s):  
Spiral Wave ◽  
Excitable Media ◽  
Wave Dynamics

Spiral Wave Dynamics

1995 ◽  
pp. 57-92 ◽  
Author(s):  
Stefan C. Müller ◽  
Theo Plesser
Keyword(s):  
Spiral Wave ◽  
Wave Dynamics

scholarly journals A dynamical systems approach to spiral wave dynamics

1994 ◽  
Vol 4 (3) ◽  
pp. 453-460 ◽  
Author(s):  
Dwight Barkley ◽  
Ioannis G. Kevrekidis
Keyword(s):  
Dynamical Systems ◽  
Systems Approach ◽  
Spiral Wave ◽  
Wave Dynamics

Wave dynamics of bubbly liquids mathematical models and numerical simulation

Shock Waves ◽  
1992 ◽  
pp. 535-540
Author(s):  
Y. Matsumoto ◽  
M. Kameda ◽  
F. Takemura ◽  
H. Ohashi ◽  
A. Ivandaev
Keyword(s):  
Numerical Simulation ◽  
Mathematical Models ◽  
Bubbly Liquids ◽  
Wave Dynamics

A computationally efficient electrophysiological model of human ventricular cells

2002 ◽  
Vol 282 (6) ◽  
pp. H2296-H2308 ◽  
Author(s):  
O. Bernus ◽  
R. Wilders ◽  
C. W. Zemlin ◽  
H. Verschelde ◽  
A. V. Panfilov
Keyword(s):  
Action Potential ◽  
Cardiac Tissue ◽  
Spiral Wave ◽  
Ionic Currents ◽  
Average Frequency ◽  
Computationally Efficient ◽  
Variable Model ◽  
Potential Shape ◽  
Ventricular Cells ◽  
Ventricular Tissue

Recent experimental and theoretical results have stressed the importance of modeling studies of reentrant arrhythmias in cardiac tissue and at the whole heart level. We introduce a six-variable model obtained by a reformulation of the Priebe-Beuckelmann model of a single human ventricular cell. The reformulated model is 4.9 times faster for numerical computations and it is more stable than the original model. It retains the action potential shape at various frequencies, restitution of action potential duration, and restitution of conduction velocity. We were able to reproduce the main properties of epicardial, endocardial, and M cells by modifying selected ionic currents. We performed a simulation study of spiral wave behavior in a two-dimensional sheet of human ventricular tissue and showed that spiral waves have a frequency of 3.3 Hz and a linear core of ∼50-mm diameter that rotates with an average frequency of 0.62 rad/s. Simulation results agreed with experimental data. In conclusion, the proposed model is suitable for efficient and accurate studies of reentrant phenomena in human ventricular tissue.

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