Combining gravity with the forces of the standard model on a cosmological scale

We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the underlying spacetime is a Friedman universe with flat spatial slices and where the matter fields are comprised of the strong interaction, with \SU(3) replaced by a general \SU(n), $n\ge 2$, and the electro-weak interaction. The wave functions are maps from $\R[4n+10]$ to a subspace of the antisymmetric Fock space, and one noteworthy result is that, whenever the electro-weak interaction is involved, the image of an eigenfunction is in general not one dimensional, i.e., in general it makes no sense specifying a fermion and looking for an eigenfunction the range of which is contained in the one dimensional vector space spanned by the fermion.Comment: 53 pages, v6: some typos correcte

Critical properties of the one-dimensional spin-1/2 antiferromagnetic Heisenberg model in the presence of a uniform field

In the presence of a uniform field the one-dimensional spin-$\frac{1}{2}$ antiferromagnetic Heisenberg model develops zero frequency excitations at field-dependent 'soft mode' momenta. We determine three types of critical quantities, which we extract from the finite-size dependence of the lowest excitation energies, the singularities in the static structure factors and the infrared singularities in the dynamical structure factors at the soft mode momenta. We also compare our results with the predictions of conformal field theory.Comment: 12 pages, REVTEX, 7 figures, submitted to Physical Review

Construction of an isotropic cellular automaton for a reaction-diffusion equation by means of a random walk

We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the reaction-diffusion equation with a random walk of microscopic particles and a discrete vector field which defines the time evolution of the particles. The cellular automaton thus obtained can retain isotropy and therefore reproduces the patterns found in the numerical solutions of the reaction-diffusion equation. As a specific example, we apply the method to the Belousov-Zhabotinsky reaction in excitable media

Swiss Democracy on the Web 2010 : Society and Politics in a Connected Age

The rapid adoption of online media like Facebook, Twitter or Wikileaks leaves us with little time to think. Where is information technology taking us, our society and our democratic institutions ? Is the Web replicating social divides that already exist offline or does collaborative technology pave the way for a more equal society ? How do we find the right balance between openness and privacy ? Can social media improve civic participation or do they breed superficial exchange and the promotion of false information ? These and lots of other questions arise when one starts to look at the Internet, society and politics. The first part of this paper gives an overview of the social changes that occur with the rise of the Web. The second part serves as an overview on how the Web is being used for political participation in Switzerland and abroad. Le développement rapide de nouveaux médias comme Facebook, Twitter ou Wikileaks ne laisse que peu de temps à la réflexion. Quels sont les changements que ces technologies de l'information impliquent pour nous, notre société et nos institutions démocratiques ? Internet ne fait-il que reproduire des divisions sociales qui lui préexistent ou constitue-t-il un moyen de lisser et d'égaliser ces mêmes divisions ? Comment trouver le bon équilibre entre transparence et respect de la vie privée ? Les médias sociaux permettent-ils de stimuler la participation politique ou ne sont-ils que le vecteur d'échanges superficiels et de fausses informations ? Ces questions, parmi d'autres, émergent rapidement lorsque l'on s'intéresse à la question des liens entre Internet, la société et la politique. La première partie de ce cahier est consacrée aux changements sociaux générés par l'émergence et le développement d'Internet. La seconde fait l'état des lieux de la manière dont Internet est utilisé pour stimuler la participation politique en Suisse et à l'étranger

VEGF guides angiogenic sprouting utilizing endothelial tip cell filopodia

Vascular endothelial growth factor (VEGF-A) is a major regulator of blood vessel formation and function. it controls several processes in endothelial cells, such as proliferation, survival, and migration, but it is not known how these are coordinately regulated to result in more complex morphogenetic events, such as tubular sprouting, fusion, and network formation. We show here that VEGF-A controls angiogenic sprouting in the early postnatal retina by guiding filopodial extension from specialized endothelial cells situated at the tips of the vascular sprouts. The tip cells respond to VEGF-A only by guided migration; the proliferative response to VEGF-A occurs in the sprout stalks. These two cellular responses are both mediated by agonistic activity of VEGF-A on VEGF receptor 2. Whereas tip cell migration depends on a gradient of VEGF-A, proliferation is regulated by its concentration. Thus, vessel patterning during retinal angiogenesis depends on the balance between two different qualities of the extracellular VEGF-A distribution, which regulate distinct cellular responses in defined populations of endothelial cells

The Starburst Nature of Lyman-Break Galaxies: Testing UV Extinction with X-rays

We derive the bolometric to X-ray correlation for a local sample of normal and starburst galaxies and use it, in combination with several UV reddening schemes, to predict the 2--8 keV X-ray luminosity for a sample of 24 Lyman-break galaxies in the HDF/CDF-N. We find that the mean X-ray luminosity, as predicted from the Meurer UV reddening relation for starburst galaxies, agrees extremely well with the Brandt stacking analysis. This provides additional evidence that Lyman-break galaxies can be considered as scaled-up local starbursts and that the locally derived starburst UV reddening relation may be a reasonable tool for estimating the UV extinction at high redshift. Our analysis shows that the Lyman-break sample can not have far-IR to far-UV flux ratios similar to nearby ULIGs, as this would predict a mean X-ray luminosity 100 times larger than observed, as well as far-IR luminosities large enough to be detected in the sub-mm. We calculate the UV reddening expected from the Calzetti effective starburst attenuation curve and the radiative transfer models of Witt & Gordon for low metallicity dust in a shell geometry with homogeneous or clumpy dust distributions and find that all are consistent with the observed X-ray emission. Finally, we show that the mean X-ray luminosity of the sample would be under predicted by a factor of 6 if the the far-UV is unattenuated by dust.Comment: 7 pages, 3 figures. Accepted for publication in A

Amidated Dopamine Neuron Stimulating Peptides for CNS Dopaminergic Upregulation

The present invention relates to novel proteins, referred to herein as amidated glial cell line-derived neurotrophic factor (GDNF) peptides (or Amidated Dopamine Neuron Stimulating peptides (ADNS peptides) ), that are useful for treating brain diseases and injuries that result in dopaminergic deficiencies

Model of the Belousov-Zhabotinsky reaction

The article describes results of the modified model of the Belousov-Zhabotinsky reaction, which resembles rather well the limit set observed upon experimental performance of the reaction in the Petri dish. We discuss the concept of the ignition of circular waves and show that only the asymmetrical ignition leads to the formation of spiral structures. From the qualitative assumptions on the behavior of dynamic systems, we conclude that the Belousov-Zhabotinsky reaction likely forms a regular grid.Comment: 17 pages, 12 figure

Method of Treating Parkinson\u27s Disease in Humans by Convection-Enhanced Infusion of Glial Cell-Line Derived Neurotrophic Factor to the Putamen

A method of treating Parkinson\u27s disease in humans is disclosed, wherein glial cell-line derive neurotrophic factor (GDNF) is chronically administered directly to one or both putamen of a human in need of treatment thereof via convection-enhanced infusion using at least one implantable pump and at least one catheter. In one aspect of the present invention the GDNF is infused directly into one or both putamen through one or more indwelling intraparenchymal multiport brain catheters connected to one or more implantable pumps wherein the flow rate is pulsed