PubMed · 9614523
The source did not provide an abstract. Follow the original record for more information.
Explore connections, maps & timelines
L H van der Tweel, D Reits. 1998. System analysis in vision.. https://doi.org/10.1038/eye.1998.15
Cite the original work for its findings. Save a collection to share your selection of sources.
KEEP EXPLORING
In an accompanying study, it was seen that most cardiac arrhythmias that were simulated during poor intercellular coupling in the sinus node, were the same as those obtained in a two-element system in which one element suffered from a strong leakage current. This element corresponds to the sinus node periphery and is thus the one which feeds the atrium. In this paper, the interior element was replaced by a periodic stimulator. The dynamics of the peripheral element is then determined by its phase response curve. Phase response curves for sinus node elements subject to leakage were simulated for many different amplitudes of depolarizing stimuli. Simulations with circle maps based on these curves produced the same sequence of progressing levels of exit block as stimulus strength decreased, as did the two-element system when coupling strength was reduced. The bifurcations of the circle maps leading to the observed rhythms were identified. We found that the essential qualities of the phase response curves were determined by generally accepted properties of membrane currents. This suggests that the observed rhythms and bifurcations are generic.
The influence of noise is unavoidable in all living systems. Its impact on a model of a biological clock, normally running in regular oscillating modes, is examined. It is shown that in a specific system in which endogenous rhythmicity is produced by a beat oscillator acting on a feedback coupled metabolic pool system, noise can act coherently to produce unexpected dynamic behaviour, running from regular over pseudo-regular to irregular time-structures. If the biological system consists of a set of identical weakly coupled cells, stochasticity may lead to phase decoupling producing irregular spatio-temporal patterns. Synchronization via phase resetting can be achieved by external short-time temperature pulses. Explicit results are obtained for the well-studied circadian photosynthesis oscillations in plants performing crassulacean acid metabolism. Because of the generic structure of the underlying nonlinear dynamics they can, however, be regarded as a general property of the influence of noise on nonlinear excitable systems with fixed points occuring close to limit cycles.
We studied the interactions and coexistence of stable spiral waves with independent frequencies in a heterogeneous excitable medium, using numerical simulations of a spatial system based on the FitzHugh-Nagumo cell model. When the heterogeneity of the medium exceeded a critical value, a transition took place from a single dominant spiral wave to a coexistence of multiple spiral waves with independent frequencies and n:n-1 wave conduction blocks. In this case, multiple spiral waves could coexist because they are "insulated" from each other by chaotic regions.