35 citations · 49 across the 3 of their papers we have counts for
6 papers
Low energy defibrillation in human cardiac tissue: a simulation study
S. W. Morgan, G. Plank, I. V. Biktasheva +1
We aim to assess the effectiveness of feedback controlled resonant drift pacing as a method for low energy defibrillation. Antitachycardia pacing is the only low energy defibrillat…
Generation and escape of local waves from the boundary of uncoupled cardiac tissue
V. N. Biktashev, A. Arutunyan, N. A. Sarvazyan
We aim to understand the formation of abnormal waves of activity from myocardial regions with diminished cell-to-cell coupling. In route to this goal, we studied the behavior of a…
Asymptotic analysis and analytical solutions of a model of cardiac excitation
Vadim N. Biktashev, Rebecca Suckley, Yury E. Elkin +1
We describe an asymptotic approach to gated ionic models of single-cell cardiac excitability. It has a form essentially different from the Tikhonov fast-slow form assumed in standa…
Conditions for propagation and block of excitation in an asymptotic model of atrial tissue
Radostin D. Simitev, Vadim N. Biktashev
Detailed ionic models of cardiac cells are difficult for numerical simulations because they consist of a large number of equations and contain small parameters. The presence of sma…
Soliton-like phenomena in one-dimensional cross-diffusion systems: a predator-prey pursuit and evasion example
M. A. Tsyganov, J. Brindley, A. V. Holden +1
We have studied properties of nonlinear waves in a mathematical model of a predator-prey system with pursuit and evasion. We demonstrate a new type of propagating wave in this syst…
Pursuit-evasion predator-prey waves in two spatial dimensions
V. N. Biktashev, J. Brindley, A. V. Holden +1
We consider a spatially distributed population dynamics model with excitable predator-prey dynamics, where species propagate in space due to their taxis with respect to each other'…