title: Bidomain Predictions of Virtual Electrode-Induced Make and Break Excitations around Blood Vessels.
abstract: BACKGROUND
  Virtual electrodes formed by field stimulation during defibrillation of cardiac tissue play an important role in eliciting activations. It has been suggested that the coronary vasculature is an important source of virtual electrodes, especially during low-energy defibrillation. This work aims to further the understanding of how virtual electrodes from the coronary vasculature influence defibrillation outcomes.
  
  
  METHODS
  Using the bidomain model, we investigated how field stimulation elicited activations from virtual electrodes around idealized intramural blood vessels. Strength-interval curves, which quantify the stimulus strength required to elicit wavefront propagation from the vessels at different states of tissue refractoriness, were computed for each idealized geometry.
  
  
  RESULTS
  Make excitations occurred at late diastolic intervals, originating from regions of depolarization around the vessel. Break excitations occurred at early diastolic intervals, whereby the vessels were able to excite surrounding refractory tissue due to the local restoration of excitability by virtual electrode-induced hyperpolarizations. Overall, strength-interval curves had similar morphologies and underlying excitation mechanisms compared with previous experimental and numerical unipolar stimulation studies of cardiac tissue. Including the presence of the vessel wall increased the field strength required for make excitations but decreased the field strength required for break excitations, and the field strength at which break excitations occurred was generally greater than 5 V/cm. Finally, in a more realistic ventricular slice geometry, the proximity of virtual electrodes around subepicardial vessels was seen to cause break excitations in the form of propagating unstable wavelets to the subepicardial layer.
  
  
  CONCLUSIONS
  Representing the blood vessel wall microstructure in computational bidomain models of defibrillation is recommended as it significantly alters the electrophysiological response of the vessel to field stimulation. Although vessels may facilitate excitation of relatively refractory tissue via break excitations, the field strength required for this is generally greater than those used in the literature on low-energy defibrillation. However, the high-intensity shocks used in standard defibrillation may elicit break excitation propagation from the coronary vasculature.
authors.affiliation: Department of Biomedical Engineering and Imaging Sciences, King's College London , London , UK.
authors.forename: Adam J
authors.initials: AJ
authors.lastname: Connolly
authors.affiliation: IHU Liryc, Electrophysiology and Heart Modeling Instituté, Fondation Bordeaux Université, Bordeaux, France; IMB, UMR 5251, Univ. Bordeaux, Talence, France.
authors.forename: Edward
authors.initials: E
authors.lastname: Vigmond
authors.affiliation: Department of Biomedical Engineering and Imaging Sciences, King's College London , London , UK.
authors.forename: Martin J
authors.initials: MJ
authors.lastname: Bishop
keywords: bidomain; cardiac electrophysiology; defibrillation; low energy; modeling; shock; strength–interval; vessels