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integrate-and-fire network

The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states

The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states

... 0.1 and Poisson rate ...existence and properties of the steady state measure of a PDE that arises for the description of an excitatory network of leaky integrate-and-fire (LIF) ...

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Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

... the network level, electric synapses have several pro- minent effects such as neural synchronization, and genera- tion of neural ...chemical and electric synapses on spike responses is a mandatory ...

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Global solvability of a networked integrate-and-fire model of McKean-Vlasov type

Global solvability of a networked integrate-and-fire model of McKean-Vlasov type

... large network, ...question, and its non- trivial nature, is further justified by the fact that several authors have recently been interested in exactly the same problem from a PDE perspective ([3, ...effort ...

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Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons.

Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons.

... Abstract In terms of mathematical structure, the voltage-conductance kinetic systems for neural net- works can be compared to a kinetic equations with a macroscopic limit which turns out to be the Integrate ...

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Clustering behaviors in networks of integrate-and-fire oscillators

Clustering behaviors in networks of integrate-and-fire oscillators

... cluster and fires at the frequency of the fastest oscillator of the ...discrepancies and the network asymptotically con- verges to a phase-locked ...兲 and the clustering is clearly ...

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Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity

Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity

... words: Integrate and fire models; noise; neural networks; blow-up; spontaneous activity; Mathematics Subject Classification: 35K60, 82C31, 92B20 1 Introduction The Network Noisy Leaky ...

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Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

Collective irregular dynamics in balanced networks of leaky integrate-and-fire neurons

... Fig. 10. Effective dimension D e as a function of the resolution for J = 0.2 mV and different system sizes: N = 10 000 (dotted), 40 000 (dashed), and 160 000 (solid). The different groups of curves ...

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Spike trains statistics in integrate and fire models: exact results.

Spike trains statistics in integrate and fire models: exact results.

... rigorous and exact results obtained in [ 1 ], char- acterizing the statistics of spike trains in a network of leaky Integrate-and-Fire neurons, where time is discrete and where ...

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Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

... prefrontal and posterior parietal cortices play distinct functional roles in the cortical network controlling attention, working memory, and executive function, though little is known about how the ...

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Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size.

Stability of synchronization under stochastic perturbations in leaky integrate and fire neural networks of finite size.

... short, and to encode informa- tion in the sequences of time intervals separating them (inter-spikes intervals ...transmitted and processed in the net- work formed by the neurons, by mean of synaptic ...

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Robust Modulation of Integrate-and-Fire Models

Robust Modulation of Integrate-and-Fire Models

... large-scale network sim- ulations needed in population ...Multi-Quadratic Integrate-and-Fire (MQIF) model, a gen- eralisation of the classical Quadratic Integrate-and-Fire ...

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Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

Dynamics and spike trains statistics in conductance-based Integrate-and-Fire neural networks with chemical and electric synapses

... non-autonomous and non-homogeneous stochas- tic differential equations of Ornstein-Uhlenbeck type, where conductances depends upon the spike-history of the ...operator and show that given the spike-history ...

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Using Operational Models to Integrate Acting and Planning

Using Operational Models to Integrate Acting and Planning

... Ragno, and Williams 2001) is an object- oriented language that allows a domain to be structured through an object hierarchy with subclasses and multiple in- ...control and temporal represen- ...

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A mean-field approach to the dynamics of networks of complex neurons, from nonlinear Integrate-and-Fire to Hodgkin-Huxley models

A mean-field approach to the dynamics of networks of complex neurons, from nonlinear Integrate-and-Fire to Hodgkin-Huxley models

... time traces of the membrane voltage of an RS cell for an excitatory input equal to 4 Hz. Left column is obtained for the AdEx model, middle column for the HH model and right column for the ML model (see Materials ...

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Soil C and N models that integrate microbial diversity

Soil C and N models that integrate microbial diversity

... C and N dynamics by manipulating diversity and mainly by artificially reducing soil microbial diversity (Nielsen et ...biomass, and measured one or several soil functions for each level of ...

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Converting Alzheimer's disease map into a heavyweight ontology: a formal network to integrate data

Converting Alzheimer's disease map into a heavyweight ontology: a formal network to integrate data

... consistent network containing 2,132 classes (2,175 disjoint participants, including 88 phenotypes or signals, 1,038 disjoint processes and 22 pathways) in relation with 10,964 logical axioms before ...

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Designing a mapping visualization to integrate physical and cyber domains

Designing a mapping visualization to integrate physical and cyber domains

... amount and frequency of important ...cyber and physical ...domain and the physical domain, allowing researchers to determine how the data associated with both these domains are ...components ...

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Fire stops and fire blocks

Fire stops and fire blocks

... New Terminology ƒ Fire block – a material, component or system installed in a concealed space in a building to restrict the spread of fire and often smoke in that concealed space a[r] ...

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Relationship between fire resistance and fire tolerance

Relationship between fire resistance and fire tolerance

... For the publisher’s version, please access the DOI link below./ Pour consulter la version de l’éditeur, utilisez le lien DOI ci-dessous. https://doi.org/10.4224/40001681 Access and use of this website and ...

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Teaching fire science and fire protection engineering to building engineering students

Teaching fire science and fire protection engineering to building engineering students

... Other Fire Science Courses and Programs An increasing number of complete undergraduate or graduate programs in fire protection engineering are offered at universities around the ...internet ...

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