vix.ing · top · new · best · stats · spec

Spiral- and scroll-wave dynamics in mathematical models for canine and human ventricular tissue with varying Potassium and Calcium currents

2020/10/10 by Rajany, K. V., Nayak, Alok Ranjan, Majumder, Rupamanjari +1
#Biological Physics (physics.bio-ph) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2010.05044

Abstract

We conduct a systematic,direct-numerical-simulation study,in mathematical models for ventricular tissue,of the dependence of spiral-and scroll-wave dynamics on GKr, the maximal conductance of the delayed rectifier Potassium current(IKr) channel,and the parameter γCao,which determines the magnitude and shape of the current ICaL for the L-type calcium-current channel,in both square and anatomically realistic,whole-ventricle simulation domains using canine and human models. We use ventricular geometry with fiber-orientation details and employ a physiologically realistic model for a canine ventricular myocyte. We restrict ourselves to an HRD-model parameter regime, which does not produce spiral- and scroll-wave instabilities because of other,well-studied causes like a very sharp action-potential-duration-restitution (APDR) curve or early after depolarizations(EADs) at the single-cell level. We find that spiral- or scroll-wave dynamics are affected predominantly by a simultaneous change in ICaL and IKr,rather than by a change in any one of these currents;other currents do not have such a large effect on these wave dynamics in this parameter regime of the HRD model.We obtain stability diagrams in the GKrCao plane.In the 3D domain,the geometry of the domain supports the confinement of the scroll waves and makes them more stable compared to their spiral-wave counterparts in 2D domain. We have also carried out a comparison of our HRD results with their counterparts for the human-ventricular TP06 model and have found important differences. In both these models,to make a transition,(from broken-wave to stable-scroll states or vice versa) we must simultaneously increase IKr and decrease ICaL;a modification of only one of these currents is not enough to effect this transition.

Related