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
PLoS ONE ◽  
2013 ◽  
Vol 8 (9) ◽  
pp. e72950 ◽  
Author(s):  
Alok Ranjan Nayak ◽  
T. K. Shajahan ◽  
A. V. Panfilov ◽  
Rahul Pandit

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

1994 ◽  
Vol 4 (3) ◽  
pp. 453-460 ◽  
Author(s):  
Dwight Barkley ◽  
Ioannis G. Kevrekidis

Shock Waves ◽  
1992 ◽  
pp. 535-540
Author(s):  
Y. Matsumoto ◽  
M. Kameda ◽  
F. Takemura ◽  
H. Ohashi ◽  
A. Ivandaev

2002 ◽  
Vol 282 (6) ◽  
pp. H2296-H2308 ◽  
Author(s):  
O. Bernus ◽  
R. Wilders ◽  
C. W. Zemlin ◽  
H. Verschelde ◽  
A. V. Panfilov

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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