The Role of Bacteria and Fungi on Forage Degradation \u3ci\u3ein Vitro\u3c/i\u3e

The study was conducted to evaluate the interactive role of bacteria and fungi on forage degradation in vitro. Samples of Cynodon spp. were incubated in a 48-h in vitro gas assay with incubation medium containing or not antimicrobial substances. Treatments were: antibiotic (Ab), antifungal (Af), negative control (i.e. without antimicrobials) or positive control (i.e. with both Ab and Af). Three replicate assays were conducted and, in each assay the gas volume was measured at 3, 6, 9, 12, 24, 36 and 48 h of incubation. Data of cumulative gas production in each flask in each assay was fitted to a one-pool logistic model which generated three kinetic parameters: total gas production, rate of gas production and lag time. For statistical analysis, data of triplicates in each run were averaged and each run was considered a replicate. All variables were significantly affected by treatments (P \u3c 0.05). Compared to negative control treatment, Ab decreased total gas production and the rate of gas production by 26 and 13 %, respectively, and increased the lag time by 5.5 hours. The inclusion of Af also decreased total gas production and the rate of gas production by 5 and 29%, respectively, whereas decreased the lag time by 1 hour. When both Ab and Af were included in the incubation medium, gas production was almost completely inhibited and no convergent data of fermentation parameters was generated. In conclusion, bacteria had a major role on forage degradation what, however, was increased by fungi activity. The mechanisms by which fungi interact with bacteria for degrading forage into the rumen needs to be elucidated

On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis

We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energy inequalities (log-Sobolev) that generalize the corresponding known results in the undeformed theory.Comment: 42 pages, 3 figure

Kinetic models with randomly perturbed binary collisions

We introduce a class of Kac-like kinetic equations on the real line, with general random collisional rules, which include as particular cases models for wealth redistribution in an agent-based market or models for granular gases with a background heat bath. Conditions on these collisional rules which guarantee both the existence and uniqueness of equilibrium profiles and their main properties are found. We show that the characterization of these stationary solutions is of independent interest, since the same profiles are shown to be solutions of different evolution problems, both in the econophysics context and in the kinetic theory of rarefied gases

Composição química e valor nutritivo da silagem de genótipos de sorgo.

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On Poincare and logarithmic Sobolev inequalities for a class of singular Gibbs measures

This note, mostly expository, is devoted to Poincar{\'e} and log-Sobolev inequalities for a class of Boltzmann-Gibbs measures with singular interaction. Such measures allow to model one-dimensional particles with confinement and singular pair interaction. The functional inequalities come from convexity. We prove and characterize optimality in the case of quadratic confinement via a factorization of the measure. This optimality phenomenon holds for all beta Hermite ensembles including the Gaussian unitary ensemble, a famous exactly solvable model of random matrix theory. We further explore exact solvability by reviewing the relation to Dyson-Ornstein-Uhlenbeck diffusion dynamics admitting the Hermite-Lassalle orthogonal polynomials as a complete set of eigenfunctions. We also discuss the consequence of the log-Sobolev inequality in terms of concentration of measure for Lipschitz functions such as maxima and linear statistics.Comment: Minor improvements. To appear in Geometric Aspects of Functional Analysis -- Israel Seminar (GAFA) 2017-2019", Lecture Notes in Mathematics 225

Influência do fornecimento de altas quantidades de leite com ou sem suplementação com feno no peso vivo de bezerros leiteiros.

O trabalho teve como objetivo avaliar a influência do fornecimento de altas quantidades de leite e de feno na dieta de bezerros sobre seu peso vivo (PV) e o ganho total de peso vivo (GTPV). O experimento foi conduzido na Embrapa Clima Temperado - Estação de Terras Baixas (ETB), utilizando-se 16 bezerros da raça Jersey, sendo 8 fêmeas e 8 machos, dispostos em um delineamento inteiramente casualizado. Foram utilizados 2 tratamentos, que continham o mesmo nível de inclusão de leite, sendo que o que lhes diferenciou foi a suplementação ou não com feno. No tratamento 1 (T1) os animais receberam 20% de leite de acordo com o peso ao nascimento mais concentrado ad libitum e no tratamento 2 (T2) a mesma quantidade de leite, porém com disponibilização de concentrado e feno à vontade. Ao nascer, ao desaleitamento e semanalmente durante o período experimental, os animais foram pesados individualmente utilizando balança mecânica com precisão de 100g. Para este trabalho foram consideradas as pesagens feitas ao nascimento, aos 60 dias e as ajustadas para 30 dias de idade. A inclusão de feno na dieta dos animais interferiu no PV aos 30 dias e no GTPV dos 0-30 dias, sendo maior para o tratamento T2 em relação ao T1. Os mesmos não foram observados no PV aos 60 dias e no GTPV dos 30-60 dias

Interacting Particles on the Line and Dunkl Intertwining Operator of Type A: Application to the Freezing Regime

We consider a one-dimensional system of Brownian particles that repel each other through a logarithmic potential. We study two formulations for the system and the relation between them. The first, Dyson's Brownian motion model, has an interaction coupling constant determined by the parameter beta > 0. When beta = 1,2 and 4, this model can be regarded as a stochastic realization of the eigenvalue statistics of Gaussian random matrices. The second system comes from Dunkl processes, which are defined using differential-difference operators (Dunkl operators) associated with finite abstract vector sets called root systems. When the type-A root system is specified, Dunkl processes constitute a one-parameter system similar to Dyson's model, with the difference that its particles interchange positions spontaneously. We prove that the type-A Dunkl processes with parameter k > 0 starting from any symmetric initial configuration are equivalent to Dyson's model with the parameter beta = 2k. We focus on the intertwining operators, since they play a central role in the mathematical theory of Dunkl operators, but their general closed form is not yet known. Using the equivalence between symmetric Dunkl processes and Dyson's model, we extract the effect of the intertwining operator of type A on symmetric polynomials from these processes' transition probability densities. In the strong coupling limit, the intertwining operator maps all symmetric polynomials onto a function of the sum of their variables. In this limit, Dyson's model freezes, and it becomes a deterministic process with a final configuration proportional to the roots of the Hermite polynomials multiplied by the square root of the process time, while being independent of the initial configuration.Comment: LaTeX, 30 pages, 1 figure, 1 table. Corrected for submission to Journal of Physics