FIRING RATE EQUATIONS WITH SYNAPTIC KINETICS
Coding Properties of Firing Rate Models with Low-Rank Synaptic Weight Matrices
... a firing rate model, is a model representing a neuronal network’s activity that has been studied for such a ...network’s synaptic weight matrix, which represents the strength of the connec- tions ...
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Evans functions for integral neural field equations with Heaviside firing rate function
... HEAVISIDE FIRING RATE FUNCTION S COOMBES † AND M R OWEN ‡ ...field equations when the firing rate function is a ...of synaptic coupling and the speed of axonal ...Integral ...
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On Synchrony of Weakly Coupled Neurons at Low Firing Rate
... Similar results are found for more general synaptic kinetics, with a rise time different from the decay time. 2.3 Numerical Results. We have estimated numerically the values of the exponents α and β, for ...
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Extending firing rate models to include ionic effects
... so-called firing rate models where the dynamics of the neuron are reduced to the rate at which it fires when presented with a constant ...stop firing due to a phenomenon known as ...
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Peripheral dopa decarboxylase inhibition on striatal neurone firing and dopa kinetics in the rat
... whether synaptic dopamine receptors are different from extra-synaptic ones, either in their classification or effect, their location affects the response to dopa since the latter will respond to dopamine ...
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Self-sustained activity of low firing rate in balanced networks
... stimuli and contributes to signal propagation, neural coding, and dynamic stability. It also plays an important role in cognitive processes. In this work, by means of studying intracellular recordings from CA1 neurons ...
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A novel fractional technique for the modified point kinetics equations
... differential equations. An important peculiarity of the re- actor kinetics is the stiffness of the ...its rate of change are im- portant for the safe startup, accurate determination of reactivity ...
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Analytic solution of nonlinear batch reaction kinetics equations
... Figures 1–4 show comparisons of the ham analytical solutions with numer- ical results obtained using Matlab initial value solvers. As can be clearly observed in the figures, there is an excellent agreement between the ...
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Noise in attractor networks in the brain produced by graded firing rate representations
... highly firing neurons through their particularly strong synaptic weights on other neurons will have the effect of increasing the statistical fluctuations, which will be dominated by the relatively small ...
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Exotic dynamics in a firing rate model of neural tissue with threshold accommodation
... a firing rate model of neural tissue with threshold accommodation S Coombes and M R Owen ...the equations describing the dynamics of neural systems are written in terms of firing rate ...
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Analysis of the equilibrium points of background neural networks with uniform firing rate
... excitatory synaptic connection from neuron j to neuron i, v is the inhibitory synaptic connection by which a neuron decreases another neuron’s gain, τ is a time con- stant, and s is a saturation ...firing ...
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Noise in attractor networks in the brain produced by graded firing rate representations
... highly firing neurons through their particularly strong synaptic weights on other neurons will have the effect of increasing the statistical fluctuations, which will be dominated by the relatively small ...
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The role of cannabinoids in the neurobiology of sensory gating: a firing rate model study
... DSI, as a form of short-term synaptic plasticity of GABAergic transmission, has been suggested to facilitate a form of learning called long-term potentiation (LTP). This is the process by which information is ...
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Stable Control of Firing Rate Mean and Variance by Dual Homeostatic Mechanisms
... neuronal firing rates are essential for normal brain ...neuron’s firing rate naturally maintains a stable homeostatic equilibrium with a char- acteristic mean firing rate; but the ...
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On the effect of a Gaussian firing rate function on the dynamics of a network of Wilson Cowan populations
... Gaussian firing rate function was motivated by observations of ictal activity using a Utah ...experimental firing rate function could be determined using the low-frequency component of the ...
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Efficient calculation of heterogeneous non-equilibrium statistics in coupled firing-rate models
... Keywords: Neural network model; Reduction method; Non-equilibrium statistics; Heterogeneity 1 Introduction Advances in neural recording technologies have enabled experimentalists to simultane- ously measure activity ...
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A Formalism for Evaluating Analytically the Cross-Correlation Structure of a Firing-Rate Network Model
... finite-size firing-rate network with recurrent ...activity equations that include three different sources of randomness: the background noise of the mem- brane potentials, their initial conditions, ...
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Synaptic Plasticity in Neural Networks Needs Homeostasis with a Fast Rate Detector
... the rate of LTD induction using the temporal average of the postsynaptic firing rates over a given time window ...postsynaptic firing (over an extended period before the induction ...learning ...
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Model cerebellar granule cells can faithfully transmit modulated firing rate signals
... model synaptic filter (alpha-function, low-pass filter, with time constant 100 ms) The blue curve shows the output passed through a delta-function filter, approximated in discrete time as a sampling-rate ...
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Metabolic Turnover of Synaptic Proteins: Kinetics, Interdependencies and Implications for Synaptic Maintenance
... turnover, synaptic maintenance and remodeling, we used dynamic SILAC, MS, FUNCAT, quantitative immunohis- tochemistry and bioinformatics to systematically measure the metabolic half-lives of synaptic ...
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