64 citations · 501 across the 30 of their papers we have counts for
31 papers
Modelling the electrophysiological interactions between human pluripotent cell-derived cardiomyocite grafts and host ventricular tissue
Suran Galappaththige, Vadim N Biktashev, Faisal J Alibhai +1
Human pluripotent stem cell-derived cardiomyocytes (hPSC-CMs) are a promising therapy for regenerating myocardium after infarction, but their use is limited by graft-related arrhyt…
St. Petersburg paradox for quasiperiodically hypermeandering spiral waves
Vadim N. Biktashev, Ian Melbourne
It is known that quasiperiodic hypermeander of spiral waves almost certainly produces a bounded trajectory for the spiral tip. We analyse the size of this trajectory. We show that…
Exact Propagating Wave Solutions in Reaction Cross-Diffusion System
Abdullah Aldurayhim, Vadim N. Biktashev
Reaction-diffusion systems with cross-diffusion terms in addition to, or instead of, the usual self-diffusion demonstrate interesting features which motivate their further study. T…
Predicting critical ignition in slow-fast excitable models
Christopher D. Marcotte, Vadim N. Biktashev
Linearization around unstable travelling waves in excitable systems can be used to approximate strength-extent curves in the problem of initiation of excitation waves for a family…
A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves
Hans Dierckx, Alexander V. Panfilov, Henri Verschelde +2
In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic up in a moving frame of reference. Examples include traveling waves or spiral w…
Dynamics of cardiac re-entry in micro-CT and serial histological sections based models of mammalian hearts
Girish S. Ramlugun, Belvin Thomas, Vadim N. Biktashev +5
Cardiac re-entry regime of self-organised abnormal synchronisation underlie dangerous arrhythmias and fatal fibrillation. Recent advances in the theory of dissipative vortices, exp…