WEAKLY CONNECTED NEURAL NETWORKS PDF DOWNLOAD

Synaptic organizations and dynamical properties of weakly connected and dynamical properties (function) of networks of neural oscillators near multiple. Devoted to local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and. For strictly inhibitory neural networks, Interneuron Network Gamma (A) Connectivity in an E-I network with a weakly connected inhibitory.


WEAKLY CONNECTED NEURAL NETWORKS PDF DOWNLOAD

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WEAKLY CONNECTED NEURAL NETWORKS PDF DOWNLOAD


In this case, synchronous excitatory activity is exhibited at very low values of the E-I connectivity strength, seemingly in opposition to one of the key requirements of PING theory.

Weakly Connected Neural Networks - Frank C. Hoppensteadt, Eugene M. Izhikevich - Google книги

As E-I connectivity strength increases, these networks tend to exhibit disorganized inhibitory cell firing that follows inhibitory bursts, which in turn leads to degradation of excitatory cell synchrony. Namely, excitatory bursts tend to weakly connected neural networks disorganized, exhibit variability in the number of cells participating in each burst, and do not exhibit a consistent inter-burst interval.

To determine dependence on inhibitory cellular properties, we additionally examine how changing I-I connectivity affects networks where the interneurons have Type II firing properties. Here we define Type II neurons as those that exhibit a more shallow IF curve with a minimum non-zero firing frequency and a Weakly connected neural networks exhibiting regions of phase delay and advance in response to brief, excitatory current pulses Brown et al.

Weakly connected neural networks - Ghent University Library

We find that changes to the I-I connectivity in E-I networks do not significantly alter dynamics of the overall network when the interneurons are modeled as Type II. This corresponds with our previous work which shows that, unlike strictly inhibitory networks with Type I neurons, such networks containing Type II neurons with and without an M-type slow potassium current do not weakly connected neural networks significant changes in the propensity for synchrony as the weakly connected neural networks density, which roughly corresponds with the overall strength of inhibitory signaling in the network, changes Rich et al.

WEAKLY CONNECTED NEURAL NETWORKS PDF DOWNLOAD

Specifically, weak inhibitory intra-connectivity allows well-ordered synchronous excitatory activity primarily for low values of the E-I synaptic weight, while networks with strong inhibitory intra-connectivity exhibit such activity for high values of the Weakly connected neural networks synaptic weight.

This dichotomy motivates the investigation of a network architecture that preserves the advantages of both types of networks, effectively expanding the parameter regime at which PING-like rhythms can be achieved.

WEAKLY CONNECTED NEURAL NETWORKS PDF DOWNLOAD

It can be ordered online and is expected to ship in days Online. Weakly Connected Neural Networks will be useful to researchers and graduate students in various branches of mathematical neuroscience.

Weakly Connected Neural Networks - Frank C. Hoppensteadt, Eugene M. Izhikevich - Google книги

Bifurcations in Neuron Dynamics. The authors offer the reader classical results as well as some weakly connected neural networks the most recent developments in the field. The book will be useful to researchers and graduate students in various branches of mathematical neuroscience.