32 citations · 100 across the 8 of their papers we have counts for
4 papers · 1 filter
Predicting effective quenching of stable pulses in slow-fast excitable media
Christopher D. Marcotte
We develop a linear theory for the prediction of excitation wave quenching -- the construction of minimal perturbations which return stable excitations to quiescence -- for localiz…
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…
Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation
Christopher D. Marcotte, Roman O. Grigoriev
This paper introduces a numerical method for computing the spectrum of adjoint (left) eigenfunctions of spiral wave solutions to reaction-diffusion systems in arbitrary geometries.…
Unstable Spiral Waves and Local Euclidean Symmetry in a Model of Cardiac Tissue
Christopher D. Marcotte, Roman O. Grigoriev
This paper investigates the properties of unstable single-spiral wave solutions arising in the Karma model of two-dimensional cardiac tissue. In particular, we discuss how such sol…