On Some Unifications Arising from the MIMO Rician Shadowed Model

This paper shows that the proposed Rician shadowed model for multi-antenna communications allows for the unification of a wide set of models, both for multiple-input multiple-output (MIMO) and single- input single-output (SISO) communications. The MIMO Rayleigh and MIMO Rician can be deduced from the MIMO Rician shadowed, and so their SISO counterparts. Other more general SISO models, besides the Rician shadowed, are included in the model, such as the κ-μ, and its recent generalization, the κ-μ shadowed model. Moreover, the SISO η-μ and Nakagami-q models are also included in the MIMO Rician shadowed model. The literature already presents the probability density function (pdf) of the Rician shadowed Gram channel matrix in terms of the well-known gamma- Wishart distribution. We here derive its moment generating function in a tractable form. Closed- form expressions for the cumulative distribution function and the pdf of the maximum eigenvalue are also carried out.

A model of increased impulsivity in rats with bilateral parkinsonism treated with Pramipexole

Impulse control disorders (ICD) is a common side effect of the dopaminergic treatment in patients with Parkinson's disease, which is more associated with dopamine agonists than with levodopa. To understand its pathophysiology, reliable animal models are essential. Using the variable delay-to-signal (VDS) paradigm, impulsivity was evaluated in bilateral parkinsonian rats treated with pramipexole (PPX). In this test, rats have to introduce the snout into a nose poke that is signaled by a light (presented at variable delays) triggering the delivery of a food reward after a correct response. Reaching a stable baseline performance, a partial bilateral dopaminergic lesion with 6-OHDA was induced in the dorsolateral striatum (AP: +1mm, L: ±3.4mm, V:-4.7 mm, Bregma). Rats undertook the VDS test under 5 conditions: basal state, 6-OHDA-induced lesion, the effect of two doses of PPX (0,25mg/kg and 3mg/kg; Latin-square design), and the day after the last dose of PPX. Only the acute administration of 3 mg/kg of PPX significantly rised the number of premature responses, indicating an increase of impulsive behavior, in parkinsonian but not in sham rats. Both doses of PPX significantly decreased the accuracy of responding (correct/total number of responses) and increased the incorrect and perseverative (compulsive behavior) responses in both parkinsonian and sham treated groups when compared with saline-treated groups. In conclusion, PPX induced attention deficit (lack of accuracy) as well as compulsive behavior in control and parkinsonian rats, but increased impulsivity only in the parkinsonian animals. This model could constitute a valid tool to investigate the pathophysiology of ICD.

Improving CAS Capabilities: New Rules for Computing Improper Integrals

There are diferent applications in Engineering that require to compute improper integrals of the first kind (integrals defined on an unbounded domain) such as: the work required to move an object from the surface of the earth to in nity (Kynetic Energy), the electric potential created by a charged sphere, the probability density function or the cumulative distribution function in Probability Theory, the values of the Gamma Functions(wich useful to compute the Beta Function used to compute trigonometrical integrals), Laplace and Fourier Transforms (very useful, for example in Differential Equations).