There is great interest in the role of coherent oscillations in the brain. In some cases, high-frequency oscillations (HFOs) are integral to normal brain function, whereas at other times they are implicated as markers of epileptic tissue. Mechanisms underlying HFO generation, especially in abnormal tissue, are not well understood. Using a physiological computer model of hippocampus, we investig...

24 There is great interest in the role of coherent oscillations in the brain. In some cases, high 25 frequency oscillations (HFOs) are integral to normal brain function, while at other times they are 26 implicated as markers of epileptic tissue. Mechanisms underlying HFO generation, especially in 27 abnormal tissue, are not well understood. Using a physiological computer model of 28 hippocampus...

Periodic series of period T can be mapped into the set permutations [T−1]={1,2,3,…,T−1}. These classified according to relative ordering their elements by horizontal visibility map. We prove that number classes for each coincides with triangulations polygon T+1 vertices that, as is well known, Catalan CT−1. also study robustness against Gaussian noise permutation patterns and show there are per...

A recent study has found that, despite strong acoustic masking from background noise, female treefrogs are able to select among individual males advertising for mates by taking advantage of small, periodic decreases in the overall noise structure.

Time-course gene expression profiles associated with periodic biological processes should appear periodic. However, because of inherit problems with the experimental protocols measured gene expression data are actually pseudo-periodic, not exactly periodic. Therefore, identifying pseudo-periodically expressed gene from their time-course data could help understand the molecular mechanism of peri...

It is shown that natural systems are undeniable subject to random fluctuations, arising from either environmental variability or internal effects. In this paper, we present a spatial version of phytoplankton-zooplankton model that includes some important factors such as external periodic forces, noise, and diffusion processes. The spatially extended phytoplankton-zooplankton system is from the ...

The effects of noise on phase synchronization (PS) of coupled chaotic oscillators are explored. In contrast to coupled periodic oscillators, noise is found to enhance phase synchronization significantly below the threshold of PS. This constructive role of noise has been verified experimentally with chaotic electrochemical oscillators of the electrodissolution of Ni in sulfuric acid solution.

We study effects of additive noise on a pacemaker driven excitable cellular array. We find that the subthreshold periodic pacemaker can largely enhance noise-induced synchrony in the array already at very small noise intensities. The phenomenon is tested for robustness against various diffusion coefficients and system sizes. Results are discussed in view of their biological importance.  2006 E...

In recent years it has been increasingly recognized that noise and determinism may have comparable but different influences on population dynamics. However, no simple analysis methods have been introduced into ecology which can readily characterize those impacts. In this paper, we study a population model with strong periodicity and both with and without noise. The noise-free model generates bo...