6,916 research outputs found
Rotational Perturbations of Friedmann-Robertson-Walker Type Brane-World Cosmological Models
First order rotational perturbations of the Friedmann-Robertson-Walker metric
are considered in the framework of the brane-world cosmological models. A
rotation equation, relating the perturbations of the metric tensor to the
angular velocity of the matter on the brane is derived under the assumption of
slow rotation. The mathematical structure of the rotation equation imposes
strong restrictions on the temporal and spatial dependence of the brane matter
angular velocity. The study of the integrable cases of the rotation equation
leads to three distinct models, which are considered in detail. As a general
result we find that, similarly to the general relativistic case, the rotational
perturbations decay due to the expansion of the matter on the brane. One of the
obtained consistency conditions leads to a particular, purely inflationary
brane-world cosmological model, with the cosmological fluid obeying a
non-linear barotropic equation of state.Comment: 14 pages, 5 figures, REVTEX
Update on the management of parkinson's disease
Parkinson's disease is a chronic disabling condition with specific histopathological findings. No cure is yet available although treatment response can be remarkable. Family physicians are often faced with problematic issues on diagnosis and therapy when managing patients with Parkinson's disease. Levodopa is still the mainstay of treatment but its long-term use can be associated with considerable side-effects. We advocate the use of dopamine agonists as de novo therapy in younger onset patients. The application of stereotactic functional surgery has great potential in the treatment of Parkinson's disease.published_or_final_versio
The impact of molecular biology on clinical neurology.
Advances in molecular biology have increased our understanding of both inherited and sporadic forms of neurological disease. In this review, the impact of these advances is discussed in relation to specific neurological conditions. These include the hereditary neuropathies and ataxias, Huntington's disease, and the muscular dystrophies, as well as Alzheimer's disease, Parkinson's disease, and motor neuron disease. Genetic channelopathies, such as familial hemiplegic migraine, are also described. Although knowledge in this area overall is still relatively scant, current advances in molecular biology have helped in the reclassification of some neurological disorders, thereby providing a further step towards the development of rational therapies to treat these conditions.published_or_final_versio
Dehn twists and Lagrangian spherical manifolds
Abstract
We study Dehn twists along Lagrangian submanifolds that are finite free quotients of spheres. We describe the induced auto-equivalences to the derived Fukaya category and explain their relations to mirror symmetry.National Science Foundation under agreement No. DMS-
1128155, EPSRC (Establish Career Fellowship EP/N01815X/1), Simons Collaboration Grant 52442
Efficient Dynamic Compressor Optimization in Natural Gas Transmission Systems
The growing reliance of electric power systems on gas-fired generation to
balance intermittent sources of renewable energy has increased the variation
and volume of flows through natural gas transmission pipelines. Adapting
pipeline operations to maintain efficiency and security under these new
conditions requires optimization methods that account for transients and that
can quickly compute solutions in reaction to generator re-dispatch. This paper
presents an efficient scheme to minimize compression costs under dynamic
conditions where deliveries to customers are described by time-dependent mass
flow. The optimization scheme relies on a compact representation of gas flow
physics, a trapezoidal discretization in time and space, and a two-stage
approach to minimize energy costs and maximize smoothness. The resulting
large-scale nonlinear programs are solved using a modern interior-point method.
The proposed optimization scheme is validated against an integration of dynamic
equations with adaptive time-stepping, as well as a recently proposed
state-of-the-art optimal control method. The comparison shows that the
solutions are feasible for the continuous problem and also practical from an
operational standpoint. The results also indicate that our scheme provides at
least an order of magnitude reduction in computation time relative to the
state-of-the-art and scales to large gas transmission networks with more than
6000 kilometers of total pipeline
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