32 citations · 100 across the 8 of their papers we have counts for
8 papers
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…
Reconstructing Cardiac Electrical Excitations from Optical Mapping Recordings
Christopher D. Marcotte, Matthew J. Hoffman, Flavio H. Fenton +1
The reconstruction of electrical excitation patterns through the unobserved depth of the tissue is essential to realizing the potential of computational models in cardiac medicine.…
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…
Dynamical mechanism of atrial fibrillation: a topological approach
Christopher D Marcotte, Roman O Grigoriev
While spiral wave breakup has been implicated in the emergence of atrial fibrillation, its role in maintaining this complex type of cardiac arrhythmia is less clear. We used the Ka…
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…
Exact Coherent Structures and Chaotic Dynamics in a Model of Cardiac Tissue
Greg Byrne, Christopher D. Marcotte, Roman O. Grigoriev
Unstable nonchaotic solutions embedded in the chaotic attractor can provide significant new insight into chaotic dynamics of both low- and high-dimensional systems. In particular,…
Implementation of PDE models of cardiac dynamics on GPUs using OpenCL
Christopher D. Marcotte, Roman O. Grigoriev
Graphical processing units (GPUs) promise to revolutionize scientific computing in the near future. Already, they allow almost real-time integration of simplified numerical models…