Tolerance to the Prophylactic Effects of Carbamazepine and Related Mood Stabilizers in the Treatment of Bipolar Disorders

Tolerance development after successful long-term treatment of bipolar disorder is under recognized, as are ways to prevent or show its occurrence or reverse it once it has occurred. We review the clinical literature which suggests that tolerance can develop to most treatment approaches in bipolar illness and present an animal model of tolerance development to anticonvulsant effects of carbamazepine or lamotrigine on amgydala-kindled seizures. In this model tolerance does not have a pharmacokinetic basis, but is contingent upon the drug being present in the brain at the time of amygdala stimulation. The occurrence of seizures in the absence of drug is sufficient to reverse tolerance and re-establish anticonvulsant efficacy. Based on the model, we hypothesize that some episode-induced compensatory adaptive changes in gene expression fail to occur in tolerant subjects and that episodes off medication re-induce these changes and renew drug effectiveness. Approaches that slow or reverse tolerance development in the animal model are reviewed so that they can be tested for their applicability in the clinic. Criteria for assessing tolerance development are offered in the hope that this will facilitate a more systemic literature about its prevalence, prevention, and reversal. Careful longitudinal monitoring of episode occurrence is essential to understanding tolerance development in the affective disorder and its treatment

Soliton surfaces associated with symmetries of ODEs written in Lax representation

The main aim of this paper is to discuss recent results on the adaptation of the Fokas-Gel'fand procedure for constructing soliton surfaces in Lie algebras, which was originally derived for PDEs [Grundland, Post 2011], to the case of integrable ODEs admitting Lax representations. We give explicit forms of the \g-valued immersion functions based on conformal symmetries involving the spectral parameter, a gauge transformation of the wave function and generalized symmetries of the linear spectral problem. The procedure is applied to a symmetry reduction of the static $\phi^4$-field equations leading to the Jacobian elliptic equation. As examples, we obtain diverse types of surfaces for different choices of Jacobian elliptic functions for a range of values of parameters.Comment: 14 Pages, 2 figures Conference Proceedings for QST7 Pragu

Maxwell's theory on a post-Riemannian spacetime and the equivalence principle

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if torsion and/or nonmetricity fields are allowed for in spacetime. Starting from the conservation laws of electric charge and magnetic flux, we recognize that the Maxwell equations themselves remain the same, but the constitutive law must depend on the metric and, additionally, may depend on quantities related to torsion and/or nonmetricity. We illustrate our results by putting an electric charge on top of a spherically symmetric exact solution of the metric-affine gauge theory of gravity (comprising torsion and nonmetricity). All this is compared to the recent results of Vandyck.Comment: 9 pages, REVTeX, no figures; minor changes, version to be published in Class. Quantum Gra

Semirelativistic stability of N-boson systems bound by 1/r pair potentials

We analyze a system of self-gravitating identical bosons by means of a semirelativistic Hamiltonian comprising the relativistic kinetic energies of the involved particles and added (instantaneous) Newtonian gravitational pair potentials. With the help of an improved lower bound to the bottom of the spectrum of this Hamiltonian, we are able to enlarge the known region for relativistic stability for such boson systems against gravitational collapse and to sharpen the predictions for their maximum stable mass.Comment: 11 pages, considerably enlarged introduction and motivation, remainder of the paper unchange

EVALUATION OF HOCKEY HELMET PERFORMANCE BY FINITE ELEMENT MODELING

Since the advent of helmet use in ice hockey the incidence of traumatic brain injury (TBI) has decreased, however the prevalence of mild traumatic brain injury (mTBI) has not (Wennberg and Tator, 2003). Recently finite element modeling (FEM) has been used in an attempt to identify mTBI thresholds from an impact using shear stress strain (SSS) and other parameters to aid in reducing these injuries (Zhang et al., 2004). The following study employs the University College Dublin Brain Trauma Model (UCDBTM) to evaluate the ability of vinyl nitrile (VN) and expanded polypropolene (EPP) hockey helmets to reduce the risk of brain injury