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Dynamics of Pivoting Electrical Waves in a Cardiac Tissue Model
1SUNY Upstate Medical University, 750 East Adams Street, Syracuse, NY, 13210, USA. jbeaumont@clxbs.com.
Bulletin of Mathematical Biology
|June 16, 2019
Summary
This study introduces new mathematical tools to understand how cardiac tissue properties influence reentrant tachycardias. The findings may help develop methods to terminate these dangerous heart rhythms.
Area of Science:
- Cardiovascular physiology
- Computational biology
- Mathematical modeling
Background:
- Pivoting (spiral, scroll, rotor, functional reentry) waves are implicated in reentrant tachycardias.
- Understanding the role of cardiac tissue conductances in wave dynamics is crucial for treating these arrhythmias.
Purpose of the Study:
- To advance the understanding of how cardiac tissue conductances govern pivoting wave dynamics.
- To develop new analytical tools for studying complex wave phenomena in cardiac tissue.
Main Methods:
- Detailed mathematical analysis using a novel ray tracing method and a moving-interface model.
- Simulation of electrical wave propagation with an ionic model capable of reproducing plane and pivoting waves.
- Analysis of wave displacement, characteristic loci, and propagation modes.
Main Results:
- Identified special loci and zones where wave propagation transitions between regenerative and non-regenerative modes.
- Developed a moving-interface model that predicts pivoting wave behavior (shape, rotation, breakup) based on velocity profiles and action potential duration.
- Elucidated the influence of tissue conductances on pivoting wave dynamics.
Conclusions:
- The developed models provide insights into the termination mechanisms of pivoting waves.
- The methodology may lead to strategies for altering tissue conductances to terminate reentrant tachycardias at their origin.
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