57 citations · 113 across the 4 of their papers we have counts for
4 papers
Riding a Spiral Wave: Numerical Simulation of Spiral Waves in a Co-Moving Frame of Reference
A. J. Foulkes, V. N. Biktashev
We describe an approach to numerical simulation of spiral waves dynamics of large spatial extent, using small computational grids.
Computation of the response functions of spiral waves in active media
I. V. Biktasheva, D. Barkley, V. N. Biktashev +2
Rotating spiral waves are a form of self-organization observed in spatially extended systems of physical, chemical, and biological nature. A small perturbation causes gradual chang…
Critical fronts in initiation of excitation waves
I. Idris, V. N. Biktashev
We consider the problem of initiation of propagating wave in a one-dimensional excitable fiber. In the FitzHugh-Nagumo theory, the key role is played by ``critical nucleus'' and ``…
Asymptotic properties of mathematical models of excitability
I. V. Biktasheva, R. D. Simitev, R. Suckley +1
We analyse small parameters in selected models of biological excitability, including Hodgkin-Huxley (1952) model of nerve axon, Noble (1962) model of heart Purkinje fibres, and Cou…