Stable ring vortex solitons in Bessel optical lattices

Stable ring vortex solitons, featuring a bright-shape, appear to be very rare in nature. However, here we show that they exist and can be made dynamically stable in defocusing cubic nonlinear media with an imprinted Bessel optical lattice. We find the families of vortex lattice solitons and reveal their salient properties, including the conditions required for their stability. We show that the higher the soliton topological charge, the deeper the lattice modulation necessary for stabilization.Comment: 14 pages, 4 figures, submitted to Physical Review Letter

Tracking azimuthons in nonlocal nonlinear media

We study the formation of azimuthons, i.e., rotating spatial solitons, in media with nonlocal focusing nonlinearity. We show that whole families of these solutions can be found by considering internal modes of classical non-rotating stationary solutions, namely vortex solitons. This offers an exhaustive method to identify azimuthons in a given nonlocal medium. We demonstrate formation of azimuthons of different vorticities and explain their properties by considering the strongly nonlocal limit of accessible solitons.Comment: 11 pages, 7 figure

Effects of Long-Range Nonlinear Interactions in Double-Well Potentials

We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves. We find that, while the basic spontaneous-symmetry-breaking (SSB) bifurcation structure in the DWP persists in the presence of the long-range interactions, the critical points at which the SSB emerges are sensitive to the range of the nonlocal interaction. We quantify the dynamics by developing a few-mode approximation corresponding to the DWP structure, and analyze the resulting system of ordinary differential equations and its bifurcations in detail. We compare results of this analysis with those produced by the full partial differential equation, finding good agreement between the two approaches. Effects of the competition between the local self-attraction and nonlocal repulsion on the SSB are studied too. A far more complex bifurcation structure involving the possibility for not only supercritical but also subcritical bifurcations and even bifurcation loops is identified in that case.Comment: 12 pages, 9 figure

Analysis of the Human Kinome Using Methods Including Fold Recognition Reveals Two Novel Kinases

Background: Protein sequence similarity is a commonly used criterion for inferring the unknown function of a protein from a protein of known function. However, proteins can diverge significantly over time such that sequence similarity is difficult, if not impossible, to find. In some cases, a structural similarity remains over long evolutionary time scales and once detected can be used to predict function. Methodology/Principal Findings: Here we employed a high-throughput approach to assign structural and functional annotation to the human proteome, focusing on the collection of human protein kinases, the human kinome. We compared human protein sequences to a library of domains from known structures using WU-BLAST, PSI-BLAST, and 123D. This approach utilized both sequence comparison and fold recognition methods. The resulting set of potential protein kinases was cross-checked against previously identified human protein kinases, and analyzed for conserved kinase motifs. Conclusions/Significance: We demonstrate that our structure-based method can be used to identify both typical and atypical human protein kinases. We also identify two potentially novel kinases that contain an interesting combination o

Carbono do solo e atributos de fertilidade em resposta à calagem superficial em plantio direto

O objetivo deste trabalho foi avaliar o efeito da aplicação de calagem superficial sobre o conteúdo de carbono orgânico total (COT) do solo, em plantio direto, e identificar a relação entre esse conteúdo e outros atributos de fertilidade. O experimento foi realizado em Latossolo Vermelho de textura média, em Ponta Grossa, PR. Os tratamentos consistiram da aplicação de calcário dolomítico na superfície do solo, nas doses 0 e 6 Mg ha-1, em 1993, e da reaplicação de 0 e 3 Mg ha-1, em 2000, nas parcelas com e sem calcário. O solo foi coletado em 2008, e foram analisados os conteúdos de COT e os atributos de fertilidade. A calagem produziu aumento do conteúdo de COT e da saturação por bases, e diminuição da saturação por alumínio. O conteúdo de COT apresentou relação linear com a capacidade de troca catiônica (CTC) efetiva e correlação com os teores de P e K. A CTC potencial apresentou correlação com o COT, e a CTC efetiva com o pH. A calagem superficial em sistema plantio direto, em longo período, proporciona aumento no conteúdo de COT e de N total