60 citations · 204 across the 12 of their papers we have counts for
12 papers
Scroll Waves and Filaments in excitable Media of higher spatial Dimension
Marie Cloet, Louise Arno, Desmond Kabus +3
Excitable media are ubiquitous in nature, and in such systems the local excitation tends to self-organize in traveling waves, or in rotating spiral-shaped patterns in two or three…
Unconventional Collective Resonance as Nonlinear Mechanism of Ectopic Activity in Excitable Media
Alexander S. Teplenin, Nina N. Kudryashova, Rupamanjari Majumder +3
Many physical, chemical and biological processes rely on intrinsic oscillations to employ resonance responses to external stimuli of certain frequency. Such resonance phenomena in…
Considering discrepancy when calibrating a mechanistic electrophysiology model
Chon Lok Lei, Sanmitra Ghosh, Dominic G. Whittaker +14
Uncertainty quantification (UQ) is a vital step in using mathematical models and simulations to take decisions. The field of cardiac simulation has begun to explore and adopt UQ me…
Cardiac Mechano-Electrical Dynamical Instability
L. D. Weise, A. V. Panfilov
In a computational study we reveal a novel dynamical instability of excitation waves in the heartmuscle. The instability manifests itself as gradual local increase in the duration…
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…
Dynamical anchoring of distant Arrhythmia Sources by Fibrotic Regions via Restructuring of the Activation Pattern
Nele Vandersickel, Masaya Watanabe, Qian Tao +3
Rotors are functional reentry sources identified in clinically relevant cardiac arrhythmias, such as ventricular and atrial fibrillation. Ablation targeting rotor sites has resulte…
Qualitative analysis of differential equations
Alexander V Panfilov
Here I introduce basic methods of qualitative analysis of differential equations used in mathematical biology for people with minimal mathematical background.
The statistical properties of spiral- and scroll-wave turbulence in cardiac tissue
K. V. Rajany, Anupam Gupta, Alexander V. Panfilov +1
Disorganized electrical activity in the heart leads to sudden cardiac death. To what extent can this electrical turbulence be viewed as classical fluid turbulence,which is an impor…
Scroll-wave dynamics in the presence of ionic and conduction inhomogeneities in an anatomically realistic mathematical model for the pig heart
R. Majumder, R Pandit, A. V. Panfilov
Nonlinear waves of the reaction-diffusion (RD) type occur in many biophysical systems, including the heart, where they initiate cardiac contraction. Such waves can form vortices ca…
Chiral selection and frequency response of spiral waves in reaction-diffusion systems under a chiral electric field
Bing-Wei Li, Mei-Chun Cai, Hong Zhang +2
Chirality is one of the most fundamental properties of many physical, chemical and biological systems. However, the mechanisms underlying the onset and control of chiral symmetry a…
Drift Laws for Spiral Waves on Curved Anisotropic Surfaces
Hans Dierckx, Evelien Brisard, Henri Verschelde +1
Rotating spiral waves organize spatial patterns in chemical, physical and biological excitable systems. Factors affecting their dynamics such as spatiotemporal drift are of great i…
Anomalous drift of spiral waves in heterogeneous excitable media
S. Sridhar, Sitabhra Sinha, Alexander. V. Panfilov
We study the drift of spiral waves in a simple model of heterogeneous excitable medium, having gradients in local excitability or cellular coupling. For the first time, we report t…