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To gain insight into general small-world networks it would be of interest Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum study the statistics of the behavior of such networks. We have considered the effects of randomly adding long-range Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum simultaneously removing short-range connections in a network of model theta neurons which is capable of supporting spatially localized bump solutions.

Such rewiring makes the networks small-world, at least for small values of the rewiring probabilities. The usefulness of this is that the bumps of interest are fixed points of the dynamical equations derived in these ways, and can thus be found, their stability determined, and followed as parameters are varied using standard dynamical systems techniques.

For the parameters chosen we found bumps to be surprisingly robust: in several cases a rewiring probability could be taken from 0 to 1 without destroying a bump. However, rewiring connections within the excitatory population (increasing p2) was found to destabilize a bump through a Hopf bifurcation and later destroy the unstable bump in a saddle-node bifurcation.

Simulations of the Adalimumab-afzb Injection, for Subcutaneous Use (Abrilada)- FDA network were used to verify our results. The network studied has many parameters: the spatial spread of local couplings, the timescale of excitatory synapses, the connection strengths within and between populations, and the distributions of heterogeneous input currents.

These were all set so Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum the network without rewiring supported a stable bump solution, but we have not investigated the effects Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum varying any of these parameters.

All authors listed, have made substantial, direct and intellectual contribution to the work, and approved it for publication. The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. Chimera states for coupled oscillators. Chimera states in a ring of nonlocally coupled Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum. Dynamics of pattern formation in lateral-inhibition type neural fields.

Mathematical frameworks for oscillatory network dynamics in neuroscience. The dynamics of network coupled phase oscillators: Tafinlar (Dabrafenib Capsules)- FDA ensemble approach. Localized activity patterns in two-population neuronal networks. Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons.

Persistent fluctuations of activity in undriven continuum neural field models with power-law connections. Spatiotemporal dynamics of continuum neural fields.

A model of visuospatial working memory in prefrontal cortex: recurrent network and cellular bistability. Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model. Type i membranes, phase resetting curves, and synchrony.

Neural networks as spatio-temporal pattern-forming systems. Gap junctions destroy persistent states in excitatory networks. Parabolic bursting in an excitable system coupled with a slow oscillation. Turning on and off with excitation: the role of spike-timing asynchrony and synchrony in sustained neural Penicillin G Benzathine and Penicillin G Procaine Injection (Bicillin C-R 900/300)- Multum. Stationary bumps in networks of spiking neurons.

The dynamics of chimera states in heterogeneous Kuramoto networks. Derivation of a neural field model from a network of theta neurons. Numerical bifurcation theory for high-dimensional neural models.

Exact neural fields incorporating gap junctions. A spiking neuron model for binocular rivalry. Chimeras in random non-complete networks of phase oscillators.

PDE methods for nonlocal models. Multiple bumps in a neuronal model of working memory.

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Comments:

05.02.2019 in 21:57 Милена:
По моему мнению Вы ошибаетесь. Могу отстоять свою позицию.

07.02.2019 in 08:04 Эмилия:
А вот давайте поспорим я другого мнения хотя статья понравилась.

10.02.2019 in 09:09 Нинель:
Мне очень жаль, что ничем не могу Вам помочь. Надеюсь, Вам здесь помогут.

10.02.2019 in 15:24 pufootca:
будем посмотреть

11.02.2019 in 06:47 Пантелеймон:
Простовато и, скорее всего, не в топ.