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A E Pollard

Publications and source records attributed to A E Pollard.

4 recordsLinked to original sources
PubMed1992

Cardiac propagation simulation.

We have completed a range of membrane-based simulations of action potential propagation in two- and three-dimensional models of ventricular myocardium. The two-dimensional simulations included a bidomain representation of the myocardium which explicitly characterized the component volume conductors in the intracellular, interstitial, and extracellular spaces. With these simulations, we studied the contribution of the extracellular volume conductor to transmural myocardial propagation during depolarization. We also used two-dimensional bidomain simulations to study the effect of the interstitial volume conductor in the setting of planar myocardial depolarization with nominal and extreme tissue conductivities. Our three-dimensional simulations included a monodomain representation of the myocardium which characterized the three component volume conductors as a single lumped conductor. With these simulations, we examined the effects of the intramural rotation of the fiber axes on the timing and pattern of activation. To achieve practical solution times, we extended numerical techniques from previous reports and developed a range of new techniques applicable to this class of problems. Simulations of the depolarization wavefront used the nonlinear Ebihara and Johnson membrane equations for the fast sodium current as the membrane model. Simulations of the full action potential cycle combined the Ebihara and Johnson fast sodium current with the Beeler and Reuter membrane equations. Our results demonstrated that the individual volume conductors and the rotation of fiber axes have unique and identifiable consequences on the electrical activation in models of ventricular myocardium.

Action Potentials↗
PubMed1991

Computer simulations of activation in an anatomically based model of the human ventricular conduction system.

Simulations of the electrical activity during excitation were performed in an anatomically based model of the human ventricular conduction system. Each of the 33,000 elements of this model represented a unit bundle of Purkinje or atrioventricular nodal tissue. The Ebihara-Johnson model for sodium defined the active membrane characteristics. Using a combination of new and existing modeling techniques, simulations of excitation were completed in approximately 5 min CPU time on an IBM 3090 at the Cornell National Supercomputer Facility. Activation times at sites in the model were compared to experimental measurements for the excitation of the ventricular myocardium on the endocardial surface. These "literature-based" times were estimated from a number of reported human heart mapping studies. Initially, the times fit poorly. The major factor for the discrepancy was the conduction velocities of the elements, which were a result of the physical and electrical parameters derived from a review of histologic and electrical properties studies. In addition, there was a latency between activation of the system in the left ventricle of the model and that in the right ventricle when compared to the experimental work. When the times were scaled to adjust for the conduction velocity and ventricular latency effects, the match between the simulation and literature-based times was much improved. Quantitative comparison between normalized times resulted in correlation coefficients CCF = 0.76 for the right ventricle and CCF = 0.64 for the left ventricle.

Atrial Function↗
PubMed1990

The construction of an anatomically based model of the human ventricular conduction system.

The ventricular conduction system is a complicated network of specialized muscle cells responsible for the transmission of electrical activity between the atria and the ventricles of the human heart. It has been the focus of numerous electrical and anatomical studies at both the microscopic and macroscopic levels. An understanding of its behavior at both levels is considered important, because it is primarily responsible for the spread of excitation in the ventricles. Previous computer models have been very simple ones that have been primarily adjuncts to models of the ventricles. This paper describes a strategy for the construction of conduction system models which is based on real microscopic and macroscopic features, although the model still is much simpler than reality. The model contains almost 35,000 individual cylindrical elements, each of whose physical dimensions approximate unit bundles of Purkinje and atrioventricular nodal cells. The model, whose physical appearance closely resembles that of the conduction system, was generated from limited anatomical data in less than 2 min CPU time on an IBM 3090 at the Cornell National Supercomputer Facility.

Atrioventricular Node↗