66 citations · 228 across the 12 of their papers we have counts for
13 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…
A phase defect framework for the analysis of cardiac arrhythmia patterns
Louise Arno, Jan Quan, Nhan T. Nguyen +3
During cardiac arrhythmias, dynamical patterns of electrical activation form and evolve, which are of interest to understand and cure heart rhythm disorders. The analysis of these…
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…
Inversion of electromagnetic induction data using a 2D geophysical response function
Hans Dierckx, Katrien De Blauwe, Marc Van Meirvenne +1
Electromagnetic induction methods are a common means for geophysical survey. For soil structures that are invariant in one spatial dimension such as trench structures, we propose a…
Filament tension and phase-locked drift of meandering scroll waves
Hans Dierckx, Irina V. Biktasheva, Henri Verschelde +2
Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which inclu…
Dynamics of wave fronts and filaments in anisotropic cardiac tissue
Hans J. F. M. Dierckx
The heartbeat is mediated between cardiac cells by waves of electrical depolarisation. During cardiac arrhythmias, electrical activity was found to be organised in scroll waves whi…
Variational principle for non-linear wave propagation in dissipative systems
Hans Dierckx, Henri Verschelde
The dynamics of many natural systems is dominated by non-linear waves propagating through the medium. We show that the dynamics of non-linear wave fronts with positive surface tens…
Spiral wave chimeras in locally coupled oscillator systems
Bing-Wei Li, Hans Dierckx
The recently discovered chimera state involves the coexistence of synchronized and desynchronized states for a group of identical oscillators. This fascinating chimera state has un…
Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
I. V. Biktasheva, H. Dierckx, V. N. Biktashev
A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behaviour is affected by the layer geometry. We identify the effect of sharp variations…
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…
Effective dynamics of twisted and curved scroll waves using virtual filaments
Hans Dierckx, Henri Verschelde
Scroll waves are three-dimensional excitation patterns that rotate around a central filament curve; they occur in many physical, biological and chemical systems. We explicitly deri…
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…
Buckling of scroll waves
Hans Dierckx, Henri Verschelde, Ozgur Selsil +1
A scroll wave in a sufficiently thin layer of an excitable medium with negative filament tension can be stable nevertheless due to filament rigidity. Above a certain critical thick…