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With the aim to describe the interaction between a couple of neurons a stochastic model is proposed and formalized. In such a model, maintaining statements of the Leaky Integrate-and-Fire framework, we include a random component in the synaptic current, whose role is to modify the equilibrium point… |
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The problem of reconstructing a piecewise constant function from a finite number of its Fourier coefficients perturbed by noise is considered. A reconstruction method, based on the computation of the Padè approximants to the Z-transform of the sequence of the noisy Fourier coefficients is proposed… |
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We study a quasilinear parabolic equation of forward-backward type, under assumptions on the nonlinearity which hold for a wide class of mathematical models, using a pseudo-parabolic regularization of power type.We prove existence and uniqueness of positive solutions of the regularized problem in a… |
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We study the inverse problem of determining the conformational freedom of
two protein domains from residual dipolar coupling (RDC) measurements. For
each paramagnetic ion attached to one of the domains we obtain a magnetic
susceptibility tensor ? from the RDC of couples of atoms of that domain,
and… |
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Nonparametric univariate regression via wavelets is usually implemented under the assumptions of dyadic sample size, equally spaced fixed sample points, and i.i.d. normal errors. In this work, we propose, study and compare some wavelet based nonparametric estimation methods designed to recover a… |
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The Smoothed Particle Hydrodynamics (SPH) method, often used for the modelling of the Navier-
Stokes equations by a meshless Lagrangian approach, is revisited from the point of view of Large
Eddy Simulation (LES). To this aim, the LES filtering procedure is recast in a Lagrangian framework
by… |
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Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic
helicity, in direct analogy with magnetic helicity, is a measure of entwining of the gravitomagnetic field
lines. We discuss gravitomagnetic helicity within the gravitoelectromagnetic (GEM)… |
