Epidemics in networks of spatially correlated three-dimensional root-branching structures

Using digitized images of the three-dimensional, branching structures for root systems of bean seedlings, together with analytical and numerical methods that map a common susceptible-infected- recovered (`SIR`) epidemiological model onto the bond percolation problem, we show how the spatially correlated branching structures of plant roots affect transmission efficiencies, and hence the invasion criterion, for a soil-borne pathogen as it spreads through ensembles of morphologically complex hosts. We conclude that the inherent heterogeneities in transmissibilities arising from correlations in the degrees of overlap between neighbouring plants render a population of root systems less susceptible to epidemic invasion than a corresponding homogeneous system. Several components of morphological complexity are analysed that contribute to disorder and heterogeneities in the transmissibility of infection. Anisotropy in root shape is shown to increase resilience to epidemic invasion, while increasing the degree of branching enhances the spread of epidemics in the population of roots. Some extension of the methods for other epidemiological systems are discussed.

Evidence of fluoride oxidation for development of the electrochemically-induced crystallization observed in lead oxyfluoroborate glasses

This work reports on a distinct experimental procedure conceived to closely approach the question of development of crystallization in lead oxyfluoroborate glasses in the presence of an electric field. After proposing earlier that this phenomenon should involve occurrence of redox-type electrochemical reactions occurring at the electrodes. it was in fact recently shown that a direct contact of the glasses with both the cathode and anode revealed essential, provided that crystallization did not develop when ions migration to these electrodes became frustrated. The present study demonstrates that. even in Pt,Ag/Glass/YSZ:PbF(2)/Ag,Pt-type electrochemical cells subjected to electric field action, where YSZ:PbF(2) represents composite-like mixtures (formed by Y(2)O(3)-doped ZrO(2) and PbF(2)) placed between the glass and anode. crystallization was observable in given cases. In summary, supported by (micro)structural and electrical characterizations, clear evidence is provided here that, besides Pb(2+) reduction at the cathode, crystallization really involves simultaneous F(-) oxidation at the anode, completing thus the whole redox electrochemical reaction so far postulated. In these cases, F(-) migration to the anode was achievable following PbF(2) percolative-like paths through the YSZ:PbF(2) mixtures. (C) 2010 Elsevier B.V. All rights reserved.

Complexity and anisotropy in host morphology make populations less susceptible to epidemic outbreaks

One of the challenges in epidemiology is to account for the complex morphological structure of hosts such as plant roots, crop fields, farms, cells, animal habitats and social networks, when the transmission of infection occurs between contiguous hosts. Morphological complexity brings an inherent heterogeneity in populations and affects the dynamics of pathogen spread in such systems. We have analysed the influence of realistically complex host morphology on the threshold for invasion and epidemic outbreak in an SIR (susceptible-infected-recovered) epidemiological model. We show that disorder expressed in the host morphology and anisotropy reduces the probability of epidemic outbreak and thus makes the system more resistant to epidemic outbreaks. We obtain general analytical estimates for minimally safe bounds for an invasion threshold and then illustrate their validity by considering an example of host data for branching hosts (salamander retinal ganglion cells). Several spatial arrangements of hosts with different degrees of heterogeneity have been considered in order to separately analyse the role of shape complexity and anisotropy in the host population. The estimates for invasion threshold are linked to morphological characteristics of the hosts that can be used for determining the threshold for invasion in practical applications.

Elastomeric Composites Based on Ethylene-Propylene-Diene Monomer Rubber and Conducting Polymer-Modified Carbon Black

Thermally stable elastomeric composites based on ethylene-propylene-diene monomer (EPDM) and conducting polymer-modified carbon black (CPMCB) additives were produced by casting and crosslinked by compression molding. CPMCB represent a novel thermally stable conductive compound made via ""in situ"" deposition of intrinsically conducting polymers (ICP) such as polyaniline or polypyrrole on carbon black particles. Thermogravimetric analysis showed that the composites are thermally stable with no appreciable degradation at ca. 300 degrees C. Incorporating CPMCB has been found to be advantageous to the processing of composites, as the presence of ICP lead to a better distribution of the filler within the rubber matrix, as confirmed by morphological analysis. These materials have a percolation threshold range of 5-10 phr depending on the formulation and electrical dc conductivity values in the range of 1 x 10(-3) to 1 x 10(-2) S cm(-1) above the percolation threshold. A less pronounced reinforcing effect was observed in composites produced with ICP-modified additives in relation to those produced only with carbon black. The results obtained in this study show the feasibility of this method for producing stable, electrically conducting composites with elastomeric characteristics. POLYM. COMPOS., 30:897-906, 2009. (C) 2008 Society of Plastics Engineers

The n-site approximation for the triplet-creation model

The nonequilibrium phase transition of the one-dimensional triplet-creation model is investigated using the n-site approximation scheme. We find that the phase diagram in the space of parameters (gamma, D), where gamma is the particle decay probability and D is the diffusion probability, exhibits a tricritical point for n >= 4. However, the fitting of the tricritical coordinates (gamma(t), D(t)) using data for 4 <= n <= 13 predicts that gamma(t) becomes negative for n >= 26, indicating thus that the phase transition is always continuous in the limit n -> infinity. However, the large discrepancies between the critical parameters obtained in this limit and those obtained by Monte Carlo simulations, as well as a puzzling non-monotonic dependence of these parameters on the order of the approximation n, argue for the inadequacy of the n-site approximation to study the triplet-creation model for computationally feasible values of n.

Fluoride in the groundwater of the Tubarao and Crystaline aquifers, Salto-Indaiatuba region (SP)

Anomalous concentrations of fluoride in groundwater were identified in 19 drilling wells in the Salto-Indaiatuba region, Sao Paulo State, with an average concentration of 3.03 mg dm(-3) and a maximum of 6.95 mg dm(-3), which constitute a restriction for the water`s usage in terms of human consumption. The wells exploit water from the Tubarao Aquifer (sedimentary, granular) and Crystalline Aquifer (granitic, fractured), used for sanitary or industrial purposes. These groundwaters are typically HCO(3) and HCO(3)-SO(4) types, with high concentrations of HCO(3) -and Na(+) and high pH-values between 7.5 and 10.0. The highest concentrations of F-are associated to the Tubarao and Tubarao/Crystalline aquifer drilling wells. The presence of F-in groundwater is controlled by these high pH-values, alkalinity, and fluorine availability. The source of fluoride in the Tubarao and Crystalline Aquifers can be related to the percolation of hydrothermal fluids associated with Mesozoic lava flow, emplaced due to the opening of Atlantic Ocean and/or hydrolysis of fluorine-rich minerals and clay minerals.

RUMOR PROCESSES ON N

We study four discrete-time stochastic systems on N, modeling processes of rumor spreading. The involved individuals can either have an active or a passive role, speaking up or asking for the rumor. The appetite for spreading or hearing the rumor is represented by a set of random variables whose distributions may depend on the individuals. Our goal is to understand-based on the distribution of the random variables-whether the probability of having an infinite set of individuals knowing the rumor is positive or not.

Análise de modelos geológicos utilizando percolação dinâmica

In the present study we elaborated algorithms by using concepts from percolation theory which analyze the connectivity conditions in geological models of petroleum reservoirs. From the petrophysical parameters such as permeability, porosity, transmittivity and others, which may be generated by any statistical process, it is possible to determine the portion of the model with more connected cells, what the interconnected wells are, and the critical path between injector and source wells. This allows to classify the reservoir according to the modeled petrophysical parameters. This also make it possible to determine the percentage of the reservoir to which each well is connected. Generally, the connected regions and the respective minima and/or maxima in the occurrence of the petrophysical parameters studied constitute a good manner to characterize a reservoir volumetrically. Therefore, the algorithms allow to optimize the positioning of wells, offering a preview of the general conditions of the given model s connectivity. The intent is not to evaluate geological models, but to show how to interpret the deposits, how their petrophysical characteristics are spatially distributed, and how the connections between the several parts of the system are resolved, showing their critical paths and backbones. The execution of these algorithms allows us to know the properties of the model s connectivity before the work on reservoir flux simulation is started

Estudo de adsorvente obtido de terras diatomáceas para remoção de metais pesados em águas produzidas: processamento, caracterização e dinâmica em leito fixo

The acceleration of industrial growth in recent decades on all continents aroused the interest of the companies to counter the impacts produced on the environment, spurred primarily by major disasters in the petroleum industry. In this context, the water produced is responsible for the largest volume of effluent from the production and extraction of oil and natural gas. This effluent has in its composition some critical components such as inorganic salts, heavy metals (Fe, Cu, Zn, Pb, Cd, ), presence of oil and chemicals added in the various production processes. In response to impact, have been triggered by research alternative adsorbent materials for water treatment and water produced, in order to removing oils and acids and heavy metals. Many surveys of diatomaceous earth (diatomite) in Brazil involve studies on the physico-chemical, mineral deposits, extraction, processing and applications. The official estimated Jazi are around 2.5 million tonnes, the main located in the states of Bahia (44%) and Rio Grande do Norte (37,4%). Moreover, these two states appear as large offshore producers, earning a prominent role in research of adsorbents such as diatomite for treatment of water produced. Its main applications are as an agent of filtration, adsorption of oils and greases, industrial load and thermal insulator. The objective of this work was the processing and characterization of diatomite diatomaceous earth obtained from the municipality of Macaíba-RN (known locally as tabatinga) as a low cost regenerative adsorbent for removal of heavy metals in the application of water produced treatment. In this work we adopted a methodology for batch processing, practiced by small businesses located in producing regions of Brazil. The characterization was made by X-ray diffraction (XRD), scanning electron microscopy (SEM) and specific surface area (BET). Research conducted showed that the improvement process used was effective for small volume production of diatomite concentrated. The diatomite obtained was treated by calcination at temperature of 900 oC for 2 hours, with and without fluxing Na2CO3 (4%), according to optimal results in the literature. Column adsorption experiments were conducted to percolation of the in nature, calcined and calcined fluxing diatomites. Effluent was used as a saline solution containing ions of Cu, Zn, Na, Ca and Mg simulating the composition of produced waters in the state of Rio Grande do Norte, Brazil. The breakthrough curves for simultaneous removal of copper ions and zinc as a result, 84.3% for calcined diatomite and diatomite with 97.3 % for fluxing. The calcined fluxing diatomite was more efficient permeability through the bed and removal of copper and zinc ions. The fresh diatomite had trouble with the permeability through the bed under the conditions tested, compared with the other obtained diatomite. The results are presented as promising for application in the petroleum industry

Estudo das propriedades críticas do processo epidêmico por par com difusão de pares

The pair contact process - PCP is a nonequilibrium stochastic model which, like the basic contact process - CP, exhibits a phase transition to an absorbing state. While the absorbing state CP corresponds to a unique configuration (empty lattice), the PCP process infinitely many. Numerical and theoretical studies, nevertheless, indicate that the PCP belongs to the same universality class as the CP (direct percolation class), but with anomalies in the critical spreading dynamics. An infinite number of absorbing configurations arise in the PCP because all process (creation and annihilation) require a nearest-neighbor pair of particles. The diffusive pair contact process - PCPD) was proposed by Grassberger in 1982. But the interest in the problem follows its rediscovery by the Langevin description. On the basis of numerical results and renormalization group arguments, Carlon, Henkel and Schollwöck (2001), suggested that certain critical exponents in the PCPD had values similar to those of the party-conserving - PC class. On the other hand, Hinrichsen (2001), reported simulation results inconsistent with the PC class, and proposed that the PCPD belongs to a new universality class. The controversy regarding the universality of the PCPD remains unresolved. In the PCPD, a nearest-neighbor pair of particles is necessary for the process of creation and annihilation, but the particles to diffuse individually. In this work we study the PCPD with diffusion of pair, in which isolated particles cannot move; a nearest-neighbor pair diffuses as a unit. Using quasistationary simulation, we determined with good precision the critical point and critical exponents for three values of the diffusive probability: D=0.5 and D=0.1. For D=0.5: PC=0.89007(3), β/v=0.252(9), z=1.573(1), =1.10(2), m=1.1758(24). For D=0.1: PC=0.9172(1), β/v=0.252(9), z=1.579(11), =1.11(4), m=1.173(4)

Influência do resíduo de colheita de cana-de-açúcar sem queima sobre a eficiência dos herbicidas imazapic e imazapic + pendimethalin

Os resíduos deixados sobre o solo por ocasião da colheita mecanizada da cana-de-açúcar podem constituir-se em uma barreira física para a ação dos herbicidas no controle de plantas daninhas, quando aplicados em pré-emergência destas plantas sobre a palha da cana. em virtude disso, o presente trabalho teve por objetivos analisar e quantificar a interferência dessa camada de palha sobre o solo na ação dos herbicidas imazapic e imazapic + pendimethalin no controle de plantas daninhas em áreas onde a cana-de-açúcar foi colhida mecanicamente sem a queima da palhada previamente à colheita. Foram realizados dois ensaios simultâneos: um com a retirada da palha dois dias após a aplicação dos herbicidas e o outro com a manutenção desta, ambos conduzidos em casa de vegetação. O imazapic isolado foi aplicado nas dosagens de 0, 122,5 e 147 g i.a.ha-1 e em mistura com pendimethalin na dosagem de 75 + 1500 g i.a.ha-1, com simulação de chuvas nas intensidades de 30, 60 e 90 mm. Após análise dos resultados de biomassa seca, altura e número de folhas das plantas de Sorghum bicolor e Cyperus rotundus, além de nota visual e biomassa seca de Panicum maximum, Brachiaria plantaginea, Digitaria horizontalis, Amaranthus viridis, Ipomoea grandifolia e Brachiaria decumbens, constatou-se eficiência proporcional dos herbicidas à dosagem utilizada, independentemente da presença da palha, à exceção de Ipomoea grandifolia e Brachiaria decumbens, além de haver menor controle nos tratamentos submetidos à chuva de 90 mm. Esses resultados indicam boas perspectivas quanto à aplicação destes herbicidas em áreas de colheita mecanizada de cana-de-açúcar sem queima, para controle de plantas daninhas em condições de pré-emergência.

Lixiviação de sulfentrazone e amicarbazone em colunas de solo com adição de óleo mineral

O presente trabalho teve por objetivo avaliar a lixiviação dos herbicidas sulfentrazone e amicarbazone, com e sem óleo mineral, em área de plantio de cana-de-açúcar sobre um Latossolo Vermelho-Escuro, por meio de colunas de solo. Para avaliação da lixiviação, após acumuladas as precipitações de 35, 67 e 106 mm, tubos de PVC de 10 cm de diâmetro, seccionados longitudinalmente, foram enterrados até a profundidade de 35 cm, procurando-se manter a estrutura original do solo. Os tubos foram retirados, separados em suas metades e acondicionados em casa de vegetação, onde se semearam as plantas-teste sorgo (Sorghum bicolor) e corda-de-viola (Ipomoea nil) longitudinalmente ao longo do perfil de cada metade dos tubos. O delineamento experimental utilizado foi o de blocos ao acaso em esquema de parcelas subdivididas, com quatro repetições. As parcelas consistiram da aplicação dos dois herbicidas, adicionados ou não de adjuvante, e uma testemunha sem herbicida. Nas subparcelas estudaram-se as profundidades de percolação (0,0-2,5; 2,5-5,0; 5,0-10; 10-15; 15-20; 20-25; 25-30; e 30-35 cm). Aos 20 dias após a semeadura, determinou-se a matéria seca das plântulas. Observou-se que o sulfentrazone lixiviou até 10 cm de profundidade, mesmo com 106 mm de precipitação, sem efeito diferenciado do óleo. Os efeitos foram mais pronunciados para o sorgo. O amicarbazone não interferiu na matéria seca das plântulas de sorgo. Quanto à corda-de-viola, o herbicida sob precipitação de 35 mm reduziu o desenvolvimento das plântulas, independentemente da profundidade e sem efeito diferenciado do óleo; com 67 mm de precipitação, o herbicida lixiviou pelo solo, e o óleo mineral o manteve na camada mais superficial. Com 106 mm, o herbicida foi totalmente lixiviado e não se constatou efeito do óleo.

Condutividade elétrica da solução nutritiva para o cultivo do crisântemo em vaso

Em se tratando do crisântemo de vaso, que constitui relevante contribuição à atividade de plantas ornamentais, ainda há necessidade de uma recomendação consistente sobre a condutividade elétrica (CE) da solução nutritiva para seu cultivo. Nesse sentido, realizou-se um experimento em ambiente protegido, objetivando avaliar o crescimento do crisântemo cv. Miramar cultivado em vaso, em função da CE da solução nutritiva e da lixiviação de sais do substrato. O delineamento experimental foi em blocos casualizados, com quatro repetições; os tratamentos foram distribuídos em esquema fatorial 5 x 2, referentes aos valores de CE da solução nutritiva (2,1; 2,8; 3,5; 4,2; e 4,9 dS m-1), em substrato com e sem lavagem para lixiviação dos sais. O aumento da CE inibiu o crescimento e desempenho vegetativo, mas estimulou o diâmetro da haste. A lixiviação dos sais estimulou, exceto quanto ao diâmetro da haste, o maior crescimento avaliado pelas demais variáveis fitotécnicas. A CE de 2,1 dS m-1 possibilita a produção de crisântemo dentro de padrões qualitativos de comercialização, mediante lixiviação periódica do substrato.

Uso de renderização volumétrica e realidade virtual para problemas de percolação na engenharia

In the recovering process of oil, rock heterogeneity has a huge impact on how fluids move in the field, defining how much oil can be recovered. In order to study this variability, percolation theory, which describes phenomena involving geometry and connectivity are the bases, is a very useful model. Result of percolation is tridimensional data and have no physical meaning until visualized in form of images or animations. Although a lot of powerful and sophisticated visualization tools have been developed, they focus on generation of planar 2D images. In order to interpret data as they would be in the real world, virtual reality techniques using stereo images could be used. In this work we propose an interactive and helpful tool, named ZSweepVR, based on virtual reality techniques that allows a better comprehension of volumetric data generated by simulation of dynamic percolation. The developed system has the ability to render images using two different techniques: surface rendering and volume rendering. Surface rendering is accomplished by OpenGL directives and volume rendering is accomplished by the Zsweep direct volume rendering engine. In the case of volumetric rendering, we implemented an algorithm to generate stereo images. We also propose enhancements in the original percolation algorithm in order to get a better performance. We applied our developed tools to a mature field database, obtaining satisfactory results. The use of stereoscopic and volumetric images brought valuable contributions for the interpretation and clustering formation analysis in percolation, what certainly could lead to better decisions about the exploration and recovery process in oil fields

Métodos de determinação de cálcio e magnésio trocáveis e estimativa do calcário residual em um Latossolo submetido à aplicação de calcário e gesso em superfície

A determinação da fração do calcário remanescente no solo (calcário residual), em área onde foi realizada aplicação de calcário em superfície, sem incorporação, na implantação do sistema plantio direto, pode ser uma ferramenta importante para auxiliar na definição do momento em que se faz necessária a reaplicação de calcário. Nesse sentido, os objetivos deste trabalho foram avaliar: quais os teores de Ca e Mg trocáveis, extraídos por percolação com solução de KCl e resina trocadora de íons; a quantidade do calcário aplicado que ainda não havia reagido no solo, mediante a determinação dos teores de Ca e Mg não-trocáveis; e qual a influência do gesso nos teores de Ca e Mg trocáveis e na dissolução do calcário, 18 meses após a aplicação em superfície. O experimento foi realizado em um Latossolo Vermelho distroférrico, em Botucatu (SP). O delineamento experimental foi de blocos casualizados com parcelas subdivididas e quatro repetições. Nas parcelas, foram aplicadas quatro doses de calcário dolomítico (0, 1.100, 2.700 e 4.300 kg ha-1), com PRNT = 71,2 %, e nas subparcelas, duas doses de gesso agrícola (0 e 2.100 kg ha-1). O calcário e o gesso foram aplicados em superfície, sem incorporação. Houve alta correlação na determinação de Ca e Mg trocável entre os métodos de percolação com solução de KCl e resina trocadora de íons. A extração pelo método da resina trocadora de íons superestimou os teores de Ca e Mg trocáveis em solo com recente aplicação de calcário em superfície. A aplicação de gesso em superfície reduziu a dissolução do calcário na camada superficial (0-0,10 m). Os teores de Ca e Mg não-trocáveis podem ser utilizados para estimar a quantidade de calcário residual no solo.