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Saxberg, B. E.

Publications and source records attributed to Saxberg, B. E..

Nonlinear dynamics in cardiac conduction

Electrical conduction in the heart shows many phenomena familiar from nonlinear dynamics. Among these phenomena are multiple basins of attraction, phase locking, and perhaps period-doubling bifurcations and chaos. We describe a simple cellular-automation model of electrical conduction which simulates normal conduction patterns in the heart as well as a wide range of disturbances of heart rhythm. In addition, we review the application of percolation theory to the analysis of the development of complex, self-sustaining conduction patterns.

NASA Discipline Cardiopulmonary↗

Computer simulation of fibrillation threshold measurements and electrophysiologic testing procedures

A finite element model of cardiac conduction was used to simulate two experimental protocols: 1) fibrillation threshold measurements and 2) clinical electrophysiologic (EP) testing procedures. The model consisted of a cylindrical lattice whose properties were determined by four parameters: element length, conduction velocity, mean refractory period, and standard deviation of refractory periods. Different stimulation patterns were applied to the lattice under a given set of lattice parameter values and the response of the model was observed through a simulated electrocardiogram. The studies confirm that the model can account for observations made in experimental fibrillation threshold measurements and in clinical EP testing protocols.

NASA Discipline Cardiopulmonary↗

Applications of a detailed model of cardiac conduction to ventricular dysrhythmogenesis

In order to study transitions from normal patterns of electrical activity to abnormal patterns, such as ventricular activation, one requires a means to represent the state of myocardial electrical activation in a few parameters. Two parameters are presented here: 1) the net vorticity index (NVI) which is a measure of the net vorticity in a given region, and 2) the wavefront fractionation index (WFI), which is a measure of perturbations in the propagation of the electrical activation through the myocardium. Both parameters are topological measures in that normal propagation is condensed to a zero state, irrespective of smooth changes in wavefront orientation or shape. Several examples are demonstrated using a computer simulation of cardiac conduction. Potential applications to clinical diagnosis using experimentally obtainable data are discussed.

NASA Discipline Cardiopulmonary↗

A time dependent anatomically detailed model of cardiac conduction

In order to understand the determinants of transitions in cardiac electrical activity from normal patterns to dysrhythmias such as ventricular fibrillation, we are constructing an anatomically and physiologically detailed finite element simulation of myocardial electrical propagation. A healthy human heart embedded in paraffin was sectioned to provide a detailed anatomical substrate for model calculations. The simulation of propagation includes anisotropy in conduction velocity due to fiber orientation as well as gradients in conduction velocities, absolute and relative refractory periods, action potential duration and electrotonic influence of nearest neighbors. The model also includes changes in the behaviour of myocardial tissue as a function of the past local activity. With this model, we can examine the significance of fiber orientation and time dependence of local propagation parameters on dysrhythmogenesis.

Computer Simulation↗