30 citations · 56 across the 3 of their papers we have counts for
3 papers
q-bio.QM2009★ 3 cited
Analytically Solvable Asymptotic Model of Atrial Excitability
R. D. Simitev, V. N. Biktashev
We report a three-variable simplified model of excitation fronts in human atrial tissue. The model is derived by novel asymptotic techniques \new{from the biophysically realistic m…
nlin.PS2008★ 30 cited
An analytical approach to initiation of propagating fronts
I. Idris, V. N. Biktashev
We consider the problem of initiation of a propagating wave in a one-dimensional excitable fibre. In the Zeldovich-Frank-Kamenetsky equation, a.k.a. Nagumo equation, the key role i…
nlin.PS2008★ 23 cited
Control of scroll wave turbulence using resonant perturbations
S. W. Morgan, I. V. Biktasheva, V. N. Biktashev
Turbulence of scroll waves is a sort of spatio-temporal chaos that exists in three-dimensional excitable media. Cardiac tissue and the Belousov-Zhabotinsky reaction are examples of…