A new information transmission concept based model of excitable media with continuous outputs of the model’s cells and variable excitation time is proposed. Continuous character of the outputs instigates infinitesimal inaccuracies in calculations. It generates countless number of the cells’ excitation variants that occur in front of the wave even in the homogenous and isotropic grid. New approach allows obtain many wave propagation patterns observed in real world experiments and known simulation studies. The model suggests a new spiral breakup mechanism based on tensions and gradually deepening clefts that appear in front of the wave caused by uneven propagation speed of curved and planar segments of the wave. The analysis hints that the wa...
We study the effect of small, randomly distributed obstacles on wave propagation in two-dimensional ...
Abstract. We study the effect of small, randomly distributed obstacles on wave propagation in two-di...
The main goal of this thesis was to investigate the use of HA as a unifying systems biology approach...
Spiral waves are self-repeating waves that can form in excitable media, propagating outward from the...
The interaction of waves and obstacles is simulated by adding heterogeneities to a FitzHugh-Nagumo m...
International audienceA simplified continuous-time threshold model for wave propagation in excitable...
A stochastic cellular automaton is developed for modeling waves in excitable media. A scale of key f...
Background: Duration and speed of propagation of the pulse are essential factors for stability of ex...
An excitable medium has two key properties: a sufficiently large stimulus provokes an even bigger re...
Many developmental processes involve a wave of initiation of pattern formation, behind which a unifo...
Excitable media are prevalent models for describing interesting effects in physical, chemical, and b...
We present an analytic and numerical study of the effects of external fluctuations in active media. ...
As the coupling in a heterogeneous excitable medium is reduced, three different types of behavior ar...
International audienceWe have considered infinite systems of nonlinear ODEs on the one-dimensional in...
We study the effect of small, randomly distributed obstacles on wave propagation in two-dimensional ...
Abstract. We study the effect of small, randomly distributed obstacles on wave propagation in two-di...
The main goal of this thesis was to investigate the use of HA as a unifying systems biology approach...
Spiral waves are self-repeating waves that can form in excitable media, propagating outward from the...
The interaction of waves and obstacles is simulated by adding heterogeneities to a FitzHugh-Nagumo m...
International audienceA simplified continuous-time threshold model for wave propagation in excitable...
A stochastic cellular automaton is developed for modeling waves in excitable media. A scale of key f...
Background: Duration and speed of propagation of the pulse are essential factors for stability of ex...
An excitable medium has two key properties: a sufficiently large stimulus provokes an even bigger re...
Many developmental processes involve a wave of initiation of pattern formation, behind which a unifo...
Excitable media are prevalent models for describing interesting effects in physical, chemical, and b...
We present an analytic and numerical study of the effects of external fluctuations in active media. ...
As the coupling in a heterogeneous excitable medium is reduced, three different types of behavior ar...
International audienceWe have considered infinite systems of nonlinear ODEs on the one-dimensional in...
We study the effect of small, randomly distributed obstacles on wave propagation in two-dimensional ...
Abstract. We study the effect of small, randomly distributed obstacles on wave propagation in two-di...
The main goal of this thesis was to investigate the use of HA as a unifying systems biology approach...