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Based on numerical simulation of Hodgkin and Huxley type neuron stimulated
from many synaptic inputs, an abstract concept of signal processin...
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Latest: Oct. 2, 2020, 6:49 p.m.
The Cauchy problem for a coupled Schroedinger and Benjamin - Ono system is
shown to be globally well-posed for a class of data without finite...
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Latest: Nov. 19, 2020, 6:05 p.m.
We consider a noise driven network of integrate-and-fire neurons. The network
evolves as result of the activities of the neurons following
sp...
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Latest: Oct. 2, 2020, 6:43 p.m.
Electrical and chemical synapses shape the dynamics of neural networks and
their functional roles in information processing have been a longs...
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Latest: Oct. 2, 2020, 6:49 p.m.
We review the issue of Borel summability in the framework of multiscale
analysis and renormalization group, by discussing a proof of Borel su...
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Latest: Oct. 2, 2020, 6:57 p.m.
We study weak coupling perturbative series in 4d N=2 and 5d N=1
supersymmetric gauge theories with Lagrangians. We prove that the perturbativ...
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Latest: Oct. 2, 2020, 7 p.m.
Most of our understanding of bacterial chemotaxis comes from studies of
Escherichia coli. However, recent evidence suggests significant depar...
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Latest: Oct. 2, 2020, 6:31 p.m.
Connectomics aims to recover a complete set of synaptic connections within a
dataset imaged by volume electron microscopy. Many systems have ...
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Latest: Oct. 2, 2020, 6:43 p.m.
There has been significant recent interest towards achieving highly efficient
deep neural network architectures. A promising paradigm for ach...
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Latest: Oct. 2, 2020, 6:46 p.m.
Recent experiments suggested that homeostatic regulation of synaptic balance
leads the visual system to recover and maintain a regime of powe...
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Latest: Oct. 2, 2020, 6:49 p.m.
In this study we compare Ces\`{a}ro and Euler weighted mean methods of
summability of sequences of fuzzy numbers with Abel and Borel power se...
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Latest: Oct. 2, 2020, 6:54 p.m.
In this paper we study the almost everywhere convergence of the expansions
related to the self-adjoint extension of the Laplace operator. The...
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Latest: Oct. 2, 2020, 6:57 p.m.
We prove that every unconditionally summable sequence in a Hilbert space can
be factorized as the product of a square summable scalar sequenc...
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Latest: Oct. 2, 2020, 6:58 p.m.
The space $\widehat{\ell }_k$ of absolutely almost convergent series was
introduced and studied by Das et al [4]; which plays an important ro...
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Latest: Oct. 2, 2020, 6:59 p.m.
We give a geometric interpretation of sheaf cohomology for higher degrees n
in terms of torsors on the member of degree d=n-1 in hypercoverin...
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Latest: Oct. 2, 2020, 6:24 p.m.
Regulatory networks have evolved to allow gene expression to rapidly track
changes in the environment as well as to buffer perturbations and ...
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Latest: Oct. 2, 2020, 6:31 p.m.
Escherichia coli and other bacteria use rotating helical filaments to swim.
Each cell typically has about four filaments, which bundle or dis...
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Latest: Oct. 2, 2020, 6:38 p.m.
Trafficking of AMPA receptors in and out of synapses is crucial for synaptic
plasticity. Previous studies have focused on the role of endo/ex...
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Latest: Oct. 2, 2020, 6:43 p.m.
We introduce a mathematical framework where the statistics of spikes trains,
produced by neural networks evolving under synaptic plasticity, ...
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Latest: Oct. 2, 2020, 6:49 p.m.
When an action potential is transmitted to a postsynaptic neuron, a small
change in the postsynaptic neuron's membrane potential occurs. ...
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Latest: Oct. 2, 2020, 6:45 p.m.
Experimental observations on synaptic plasticity at individual glutamatergic
synapses from the CA3 Shaffer collateral pathway onto CA1 pyrami...
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Latest: Oct. 2, 2020, 6:47 p.m.
We present some new results on strongly summable ultrafilters. As the main
result, we extend a theorem by N. Hindman and D. Strauss on writin...
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Latest: Oct. 2, 2020, 6:52 p.m.
We generalize the notion of summable Szlenk index from a Banach space to an
arbitrary weak$^*$-compact set. We prove that a weak$^*$-compact ...
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Latest: Oct. 2, 2020, 6:53 p.m.
In this paper we study the exponential uniform strong summability of
two-dimensional Vilenkin-Fourier series. In particular, it is proved tha...
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Latest: Oct. 2, 2020, 6:54 p.m.
We prove that the $c_0$-sum of separable Banach spaces with uniformly
summable Szlenk index has summable Szlenk index, whereas this result is...
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Latest: Oct. 2, 2020, 6:55 p.m.
In this paper, we'll show the robustness of global stability for perturbed
dissipative dynamical systems.
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Latest: Oct. 2, 2020, 7:03 p.m.
In the present study, we have introduced Ces\`{a}ro summability of integrals
of fuzzy-number-valued functions and given one-sided Tauberian c...
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Latest: Oct. 2, 2020, 6:57 p.m.
If $f$ is a transcendental entire function with only algebraic singularities
we calculate the Ruelle operator of $f$. Moreover, we prove both...
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Latest: Oct. 2, 2020, 6:58 p.m.
We extend a series of results due to Makienko, Dominguez and Sienra on the
rigidity of some holomorphic dynamical systems with summable criti...
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Latest: Oct. 2, 2020, 6:58 p.m.
Light sterile neutrinos can be excited by oscillations with active neutrinos
in the early universe. Their properties can be constrained by th...
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Latest: Nov. 10, 2020, 8:35 a.m.
As brown dwarfs cool, a variety of species condense in their atmospheres,
forming clouds. Iron and silicate clouds shape the emergent spectra...
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Latest: Oct. 2, 2020, 6:20 p.m.
It is shown that the K3 spectra which refine the local rings of the moduli
stack of ordinary p-primitively polarized K3 surfaces in character...
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Latest: Oct. 2, 2020, 6:23 p.m.
This paper reports X-ray microtomographic visualization of the microorganism
Escherichia coli overexpressing a metalloprotein ferritin. The
t...
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Latest: Oct. 2, 2020, 6:27 p.m.
We have developed a mathematical model of transcriptional activation by MarA
in Escherichia coli, and used the model to analyze measurements ...
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Latest: Oct. 2, 2020, 6:31 p.m.
A model for the aerobic and anaerobic growth of Escherichia coli (HB101 K12
pGLO) depending on the concentration of oxygen and DOC as substra...
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Latest: Oct. 2, 2020, 6:36 p.m.
The presence of clusters of rare codons is known to negatively impact the
efficiency and accuracy of protein production. In this paper, we de...
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Latest: Oct. 2, 2020, 6:37 p.m.
The responses of synapses in the neocortex show highly stochastic and
nonlinear behavior. The microscopic dynamics underlying this behavior, ...
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Latest: Oct. 2, 2020, 6:41 p.m.
Dendritic spines, the carriers of long-term memory, occupy a small fraction
of cortical space, and yet they are the major consumers of brain ...
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Latest: Oct. 2, 2020, 6:42 p.m.
With growing model complexity, mapping Spiking Neural Network (SNN)-based
applications to tile-based neuromorphic hardware is becoming increa...
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Latest: Oct. 2, 2020, 6:44 p.m.
We are currently carrying out a K_s band survey for core-collapse supernovae
in the nuclear (central kpc) regions of nearby starburst galaxie...
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Latest: Nov. 10, 2020, 2:32 p.m.
We study a neural network model in which both neurons and synaptic
interactions evolve in time simultaneously. The time evolution of synaptic...
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Latest: Oct. 2, 2020, 6:45 p.m.
Synaptic plasticity depends on the interaction between electrical activity in
neurons and the synaptic proteome, the collection of over 1000 ...
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Latest: Oct. 2, 2020, 6:45 p.m.
It is shown that long term behavior of two connected Integrate- and- Fire
neurons with excitatory synapses is determined by some fixed-points...
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Latest: Oct. 2, 2020, 6:46 p.m.
In this work, we perform an exploratory study on synthesizing deep neural
networks using biological synaptic strength distributions, and the ...
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Latest: Oct. 2, 2020, 6:47 p.m.
We investigated the influence of efficacy of synaptic interaction on firing
synchronization in excitatory neuronal networks. We found spike d...
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Latest: Oct. 2, 2020, 6:51 p.m.
As a means of dynamically reconfiguring the synaptic weight of a
superconducting optoelectronic loop neuron, a superconducting flux storage l...
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Latest: Oct. 2, 2020, 6:48 p.m.
A theory of temporally asymmetric Hebb (TAH) rules which depress or
potentiate synapses depending upon whether the postsynaptic cell fires be...
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Latest: Oct. 2, 2020, 6:50 p.m.
The main purpose of this paper is to introduce the concepts of Wijsman
$C_{\lambda}$ statistical convergence, Wijsman $C_{\lambda}$ summabili...
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Latest: Oct. 2, 2020, 6:52 p.m.
In this paper, by using an almost increasing and $\delta$-quasi-monotone
sequence, a general theorem on $\phi-{\mid{C},\alpha\mid}_k$ summabi...
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Latest: Oct. 2, 2020, 6:54 p.m.
We introduce the notion of index of summability for pairs of Banach spaces;
for Banach spaces E; F, this index plays the role of a kind of me...
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Latest: Oct. 2, 2020, 6:54 p.m.
This work studies the stability of solitary waves of a class of sixth-order
Boussinesq equations.
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Latest: Oct. 2, 2020, 7:03 p.m.
A definition of summability is put forward in the framework of general
Carleman ultraholomorphic classes in sectors, so generalizing $k-$summ...
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Latest: Oct. 2, 2020, 6:55 p.m.
The aim of this paper is to continue the study of asymptotic expansions and
summability in a monomial in any number of variables. In particul...
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Latest: Oct. 2, 2020, 6:55 p.m.
A configuration space of intervals in $\mathbb R^1$ with partially summable
labels is constructed. It is a kind of an extension of the config...
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Latest: Oct. 2, 2020, 6:55 p.m.
Inverse problem for Dirac systems with locally square summable potentials and
rectangular Weyl functions is solved. For that purpose we use a...
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Latest: Oct. 2, 2020, 6:57 p.m.
We introduce the notion of an adelically summable normalized weight $g$,
which is a family of normalized weights on the Berkovich projective ...
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Latest: Oct. 2, 2020, 6:57 p.m.
Recently Ruckle \cite{RuckleArithmeticalSummability} introduced the theory of
arithmetical summability suggested by the sum $ \sum_{k|m}f(k) ...
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Latest: Oct. 2, 2020, 6:58 p.m.
The concept of moment differentiation is extended to the class of moment
summable functions, giving rise to moment differential properties. T...
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Latest: Oct. 2, 2020, 6:58 p.m.
In this paper, we extend the notions of statistically convergence of order
$\beta $ and strong Ces\`{a}ro summability of order $\beta ,$ and ...
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Latest: Oct. 2, 2020, 6:58 p.m.
An analogue of D. Waterman's result on the summability of the Fourier series
for functions of bounded \Lambda-variation by the Ces\'a...
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Latest: Oct. 2, 2020, 6:58 p.m.
In this paper we will show that monomial summability can be characterized
using Borel-Laplace like integral transformations depending of a pa...
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Latest: Oct. 2, 2020, 6:59 p.m.
It is shown that a pointwise amenable Banach algebra need not be amenable.
This positively answer a question raised by Dales, Ghahramani and ...
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Latest: Oct. 2, 2020, 7:03 p.m.
The paper introduces a novel iterative method that assigns a reputation to n
+ m items: n raters and m objects. Each rater evaluates a subset...
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Latest: Oct. 2, 2020, 6:02 p.m.
In this paper we have characterized the space of summability kernels for the
case p=1 and p=2. For other values of p we give a necessary cond...
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Latest: Oct. 2, 2020, 6:55 p.m.
Public debate about AI is dominated by Frankenstein Syndrome, the fear that
AI will become superhuman and escape human control. Although supe...
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Latest: Oct. 2, 2020, 6:22 p.m.
Photonic synthesis of radiofrequency revived the quest for unrivalled
microwave purity by its seducing ability to convey the benefits of the ...
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Latest: Oct. 2, 2020, 6:22 p.m.
Growth in confined spaces can drive cellular populations through a jamming
transition from a fluid-like state to a solid-like state. Experime...
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Latest: Oct. 2, 2020, 6:25 p.m.
This paper presents the plnauty~library, a Prolog interface to the nauty
graph-automorphism tool. Adding the capabilities of nauty to Prolog ...
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Latest: Oct. 2, 2020, 6:27 p.m.
Run-and-tumble motility is widely used by swimming microorganisms including
numerous prokaryotic eukaryotic organisms. Here, we experimentall...
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Latest: Oct. 2, 2020, 6:28 p.m.
Positioning of the midcell division plane within the bacterium E. coli is
controlled by the min system of proteins: MinC, MinD and MinE. Thes...
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Latest: Oct. 2, 2020, 6:29 p.m.
Martincorena et al. estimated synonymous diversity ({\theta}s = 2N{\mu})
across 2,930 orthologous gene alignments from 34 Escherichia coli ge...
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Latest: Oct. 2, 2020, 6:35 p.m.
In a letter published in Molecular Biology Evolution [10], Chen and Zhang
argue that the variation of the mutation rate along the Escherichia...
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Latest: Oct. 2, 2020, 6:35 p.m.
Desulfoferrodoxin is a small protein found in sulfate-reducing bacteria that
contains two independent mononuclear iron centers, one ferric an...
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Latest: Oct. 2, 2020, 6:36 p.m.
Understanding the organization of reaction fluxes in cellular metabolism from
the stoichiometry and the topology of the underlying biochemica...
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Latest: Oct. 2, 2020, 6:37 p.m.
We study unbounded "supersolutions" of the Evolutionary $p$-Laplace equation
with slow diffusion. They are the same functions as th...
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Latest: Oct. 2, 2020, 6:59 p.m.
In Diffusive Molecular Communication (DMC), information is transmitted by
diffusing molecules. Synaptic signaling is a natural implementation...
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Latest: Oct. 2, 2020, 6:41 p.m.
Leaky integrate-and-fire (LIF) models are mean-field limits, with a large
number of neurons, used to describe neural networks. We consider in...
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Latest: Oct. 2, 2020, 6:42 p.m.
Thanks to the 2dF spectrograph on the Anglo-Australian Telescope, we have
recently completed the first stage of a complete spectroscopic surv...
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Latest: Nov. 10, 2020, 2:32 p.m.
Synapses are functional links between neurons, through which "information"
flows in the neural network. These connections vary sign...
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Latest: Oct. 2, 2020, 6:44 p.m.
We study the effect of competition between short-term synaptic depression and
facilitation on the dynamical properties of attractor neural ne...
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Latest: Oct. 2, 2020, 6:47 p.m.
We study periodic travelling waves in the Theta model for a linear continuum
of synaptically-interacting neurons. We prove that when the neur...
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Latest: Oct. 2, 2020, 6:44 p.m.
In the cerebral cortex, neurons are subject to a continuous bombardment of
synaptic inputs originating from the network's background acti...
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Latest: Oct. 2, 2020, 6:45 p.m.
We obtain some optimal estimates for multilinear forms on $\ell _{p}$ spaces.
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Latest: Oct. 2, 2020, 7 p.m.
The density of synaptic receptors in front of presynaptic release sites is
stabilized in the presence of scaffold proteins, but the receptors...
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Latest: Oct. 2, 2020, 6:45 p.m.
The highly parallel process in the neuron networks is mediated through a mass
of synaptic interconnections. Mimicking single synapse behavior...
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Latest: Oct. 2, 2020, 6:45 p.m.
Spike-Timing Dependent Plasticity (STDP) is believed to play an important
role in learning and the formation of computational function in the...
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Latest: Oct. 2, 2020, 6:45 p.m.
Message passing between components of a distributed physical system is
non-instantaneous and contributes to determine the time scales of the ...
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Latest: Oct. 2, 2020, 6:46 p.m.
The interplay between structure and function is crucial in determining some
emerging properties of many natural systems. Here we use an adapt...
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Latest: Oct. 2, 2020, 6:46 p.m.
In the paper we give a complete classification of schemes of abstract
perspectives between two tetrahedrons such that intersecting edges core...
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Latest: Nov. 19, 2020, 6:35 a.m.
Recent experimental studies strongly suggest the influence of glial
purinergic transmission in the modulation of synaptic dynamics. By releas...
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Latest: Oct. 2, 2020, 6:47 p.m.
Alzheimer's disease (AD) is a common form of dementia observed in the elderly
due to neurodegenerative disorder and dysfunction. This ari...
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Latest: Oct. 2, 2020, 6:47 p.m.
To understand the behavior of a neural circuit it is a presupposition that we
have a model of the dynamical system describing this circuit. T...
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Latest: Oct. 2, 2020, 6:47 p.m.
Learning and memory in the brain are implemented by complex, time-varying
changes in neural circuitry. The computational rules according to w...
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Latest: Oct. 2, 2020, 6:48 p.m.
Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of
a periodically forced stochastic neuron exhibits a maximum for a...
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Latest: Oct. 2, 2020, 6:48 p.m.
We compute the firing rate of a leaky integrate-and-fire (LIF) neuron with
stochastic conductance-based inputs in the limit when synaptic dec...
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Latest: Oct. 2, 2020, 6:50 p.m.
The influence of the synaptic channel properties on the stability of delayed
activity maintained by recurrent neural network is studied. The ...
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Latest: Oct. 2, 2020, 6:50 p.m.
We analyze the control of frequency for a synchronized inhibitory neuronal
network. The analysis is done for a reduced membrane model with a
...
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Latest: Oct. 2, 2020, 6:50 p.m.
In this paper we study the tensor product of two $f$-algebras. We show that
the Riesz Subspace generated by a subalgebra in an $f$-algebra is...
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Latest: Oct. 2, 2020, 7:06 p.m.
In our previous paper (ArXiv:1306.1492) we have proved that a representation
of the infinitesimal generators $L$ for Levy processes $X_t$ can...
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Latest: Oct. 2, 2020, 6:54 p.m.
The theorems of Kozlov and Sullivan characterize Gibbs measures as measures
with positive continuous specifications. More precisely, Kozlov s...
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Latest: Oct. 2, 2020, 7:01 p.m.
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