Key result
Van der Pol coupled oscillator model simulates heartbeat pathologies like AV block and sinus arrest.
Why the study?
The cardiac conduction system involves complex interactions between the SA and AV nodes, and modeling these interactions can improve understanding of heart rhythm generation and pathologies.
A nonlinear coupled oscillator model can simulate the interaction between SA and AV nodes to reproduce complex heart rhythm pathologies.
Model reframes AV junction as active network element; leaves open any clinical relevance pending in vivo validation.
The cardiac conduction system may be assumed to be a network of self-excitatory pacemakers, with the SinoAtrial (SA) node having the highest intrinsic rate. Subsidiary pacemakers with slower firing frequencies are located in the AtrioVentricular (AV) node and the His-Purkinje system. Under physiological conditions, the SA node is the dominant pace-maker and impulses travel from this node to the ventricle through the AV junction, which is traditionally regarded as a passive conduit. We consider the Av node as an active pace-maker and develop a model of two nonlinear coupled oscillators in order to describe the interaction between the SA and the AV node. These two nonlinear oscillators are based on a modification of the van der Pol osciallator, so that the generated waveforms resemble the action potentials of cells in the SA and the AV node respectively. A bifurcation analysis of this model is performed and the pathophysiological different kinds of heartbeat pathologies (1°, 2° (both Wenckebach and non-Wenckebach) and 3° AV blocks, sinus arrest, atrials bigeminy, etc.). This simple nonlinear model helps to improve the understanding of the complex phenomena involved in heart rhythm generation as well as of heart rate control and function.
No takes yet. Share an insight, caveat, or question.
Bernardo et al. (1998) studied Heartbeat pathologies (AV blocks, sinus arrest, atrial bigeminy). Two nonlinear coupled oscillators model was evaluated on Simulation of heartbeat pathologies. A model of two nonlinear coupled oscillators based on the van der Pol oscillator successfully simulated heartbeat pathologies such as AV blocks and sinus arrest.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: