Modeling the Competition Between Viruses in a Complex Plant-Pathogen System

In this article, we propose a mathematical model that describes the competition between two plant virus strains (MAV and PAV) for both the host plant (oat) and their aphid vectors. We found that although PAV is transmitted by two aphids and MAV by only one, this fact, by itself, does not explain the complete replacement of MAV by PAV in New York State during the period from 1961 through 1976; an interpretation that is in agreement with the theories of A. G. Power. Also, although MAV wins the competition within aphids, we assumed that, in 1961, PAV mutated into a new variant such that this new variant was able to overcome MAV within the plants during a latent period. As shown below, this is sufficient to explain the swap of strains; that is, the dominant MAV was replaced by PAV, also in agreement with Power`s expectations.

Time series evaluation of traumatic lesions and airsacculitis at one poultry abattoir in the state of Sao Paulo, Brazil (1996-2005)

Ten year official condemnation records of one officially inspected poultry abattoir in state of Sao Paulo. Brazil, were analyzed. Seasonal and cyclical trends were analyzed in relation to traumatic lesions and airsacculitis. which were the most relevant official condemnation causes Time series analysis of the records, seasonal indexes and moving averages was used to describe the adherence to the mathematical model and to offer preventive management strategies for the slaughter house industry Although cause-effect relationships were not defined, some insight was given into the causal mechanisms that generated the series (C) 2010 Elsevier B V All rights reserved

Host selection in phytophagous insects: a new explanation for learning in adults

Insect learning can change the preferences an egg laying female displays towards different host plant species. Current hypotheses propose that learning may be advantageous in adult host selection behaviour through improved recognition, accuracy or selectivity in foraging. In this paper, we present a hypothesis for when learning can be advantageous without such improvements in adult host foraging. Specifically, that learning can be an advantageous strategy for egg laying females when larvae must feed on more than one plant in order to complete development, if the fitness of larvae is reduced when they switch to a different host species. Here, larvae benefit from developing on the most abundant host species, which is the most likely choice of host for an adult insect which increases its preference for a host species through learning. The hypothesis is formalised with a mathematical model and we provide evidence from studies on the behavioural ecology, of a number of insect species which demonstrate that the assumptions of this hypothesis may frequently be fulfilled in nature. We discuss how multiple mechanisms may convey advantages in insect learning and that benefits to larval development, which have so far been overlooked, should be considered in explanations for the widespread occurrence of learning.

Time of treatment influences the appearance of drug-resistant parasites in Plasmodium falciparum infections

A deterministic mathematical model which predicts the probability of developing a new drug-resistant parasite population within the human host is reported, The model incorporates the host's specific antibody response to PfEMP1, and also investigates the influence of chemotherapy on the probability of developing a viable drug-resistant parasite population within the host. Results indicate that early, treatment, and a high antibody threshold coupled with a long lag time between antibody stimulation and activity, are risk factors which increase the likelihood of developing a viable drug-resistant parasite population. High parasite mutation rates and fast PfEMP1 var gene switching are also identified as risk factors. The model output allows the relative importance of the various risk factors as well as the relationships between them to be established, thereby increasing the understanding of the conditions which favour the development of a new drug-resistant parasite population.

The effect of latent heat of fusion on heat transfer in fluidized-bed coating of thin plates

This paper presents a numerical study of fluidized-bed coating on thin plates using an orthogonal collocation technique. Inclusion of the latent heat of fusion term in the boundary conditions of the mathematical model accounts for the fact that some polymer powders used in coating may be partially crystalline. Predictions of coating thickness on flat plates were made with actual polymers used in fluidized-bed coating. Reasonably good agreement between numerical predictions of the coating thickness and experimental coating data of Richart was obtained for steel panels preheated to 316 degreesC. A good agreement was also obtained between numerical predictions and our coating thickness data for nylon-11 and polyethylene powders. Predicted coating thickness for polyethylene powder on flat plates were obtained with values of heat transfer coefficient closer to those obtained from our experiments. (C) 2002 Elsevier Science B.V. All rights reserved.

Surface diffusion of strong adsorbing vapours on porous carbon

Surface diffusion of strongly adsorbing hydrocarbon vapours on activated carbon was measured by using a constant molar flow method (D.D. Do, Dynamics of a semi-batch adsorber with constant molar supply rate: a method for studying adsorption rate of pure gas, Chem. Eng. Sci. 50 (1995) 549), where pure adsorbate is introduced into a semi-batch adsorber at a constant molar flow rate. The surface diffusivity was determined from the analysis of pressure response versus time, using a linear mathematical model developed earlier. To apply the linear theory over the non-linear range of the adsorption isotherm, we implement a differential increment method on the system which is initially equilibrated with some pre-determined loading. By conducting the experiments at different initial loadings, the surface diffusivity can be extracted as a function of loading. Propane, n-butane, n-hexane, benzene, and ethanol were used as diffusing adsorbate on a commercial activated carbon. It is found that the surface diffusivity of these strongly adsorbing vapours increases rapidly with loading, and the surface diffusion flux contributes significantly to the total flux and cannot be ignored. The surface diffusivity increases with temperature according to the Arrhenius law, and for the paraffins tested it decreases with the molecular weight of the adsorbate. (C) 2002 Elsevier Science Ltd. All rights reserved.

Epidemiology and strain characteristics of Echinococcus granulosus in the Benghazi area of eastern Libya

The incidence of surgically confirmed cystic echinococcosis in eastern Libya was estimated to be at least 4.2 cases/100,000, with significantly more female cases than male. The prevalences of infection with Echinococcus granulosus among 1087 sheep, 881 goats, 428 camels and 614 cattle from the same region, determined postmortem in abattoirs, were 20%, 3.4%, 13.6% and 11%, respectively. Infection in the livestock was age-dependent and, generally, the female animals were more often infected than the male. The measurements of rostellar hooks on protoscoleces collected from sheep and cattle were similar but significantly different from the corresponding measurements of parasites of human or camel origin. However, when a portion of the cytochrome c-oxidase subunit I (coxl) gene from each of 30 protoscolex samples from Libya (12 from cattle, three from humans, five from camels and 10 from sheep) was sequenced, the sequences were all found to be identical to that published for the common sheep strain of E. granulosus.

Database technologies for l-system simulations in virtual plant applications on bioinformatics

One of the most important advantages of database systems is that the underlying mathematics is rich enough to specify very complex operations with a small number of statements in the database language. This research covers an aspect of biological informatics that is the marriage of information technology and biology, involving the study of real-world phenomena using virtual plants derived from L-systems simulation. L-systems were introduced by Aristid Lindenmayer as a mathematical model of multicellular organisms. Not much consideration has been given to the problem of persistent storage for these simulations. Current procedures for querying data generated by L-systems for scientific experiments, simulations and measurements are also inadequate. To address these problems the research in this paper presents a generic process for data-modeling tools (L-DBM) between L-systems and database systems. This paper shows how L-system productions can be generically and automatically represented in database schemas and how a database can be populated from the L-system strings. This paper further describes the idea of pre-computing recursive structures in the data into derived attributes using compiler generation. A method to allow a correspondence between biologists' terms and compiler-generated terms in a biologist computing environment is supplied. Once the L-DBM gets any specific L-systems productions and its declarations, it can generate the specific schema for both simple correspondence terminology and also complex recursive structure data attributes and relationships.

Use of confocal microscopy to follow the development of penetrative hyphae during growth of Rhizopus oligosporus in an artificial solid-state fermentation system

Two methods were compared for determining the concentration of penetrative biomass during growth of Rhizopus oligosporus on an artificial solid substrate consisting of an inert gel and starch as the sole source of carbon and energy. The first method was based on the use of a hand microtome to make sections of approximately 0.2- to 0.4-mm thickness parallel to the substrate surface and the determination of the glucosamine content in each slice. Use of glucosamine measurements to estimate biomass concentrations was shown to be problematic due to the large variations in glucosamine content with mycelial age. The second method was a novel method based on the use of confocal scanning laser microscopy to estimate the fractional volume occupied by the biomass. Although it is not simple to translate fractional volumes into dry weights of hyphae due to the lack of experimentally determined conversion factors, measurement of the fractional volumes in themselves is useful for characterizing fungal penetration into the substrate. Growth of penetrative biomass in the artificial model substrate showed two forms of growth with an indistinct mass in the region close to the substrate surface and a few hyphae penetrating perpendicularly to the surface in regions further away from the substrate surface. The biomass profiles against depth obtained from the confocal microscopy showed two linear regions on log-linear plots, which are possibly related to different oxygen availability at different depths within the substrate. Confocal microscopy has the potential to be a powerful tool in the investigation of fungal growth mechanisms in solid-state fermentation. (C) 2003 Wiley Periodicals, Inc.

Analysis of multicomponent adsorption kinetics on activated carbon

An integrated mathematical model for the kinetics of multicomponent adsorption on microporous carbon was developed. Transport in this bidisperse solid is represented by balance equations in the macropore and micropore phases, in which gas-phase diffusion dominates the mass transfer in the macropores, with the phenomenological diffusivities represented by the generalized Maxwell-Stefan (GMS) formulation. Viscous flow also contributes to the macropore fluxes and is included in the MS expressions. Diffusion of the adsorbed phase controls the mass transfer in the micro ore phase, p which is also described in a similar way by the MS method. The adsorption isotherms are represented by a new heterogeneous modified vacancy solution theory formulation of adsorption, which has proved to be a robust method for adsorption on activated carbons. The model is applied to the coadsorption and codesorption of C2H6 and C3H8 on Ajax and Norit carbon, as well as the displacement on Ajax carbon. The effect of the viscous flow in the macropore phase is not significant for the cases studied. The model accurately predicts the overshoot behavior and rollup of C2H6 during coadsorption. The prediction for the heavier compound C3H8 is always satisfactory, though at higher C3H8 mole fraction, the overshoot extent of C2H6 is overpredicted, possibly due to neglect of heat effects.

Estudo do processo de secagem em leito de espuma de cenoura, tomate, beterraba e morango

Em geral, produtos agrícolas são produzidos em larga escala e essa produtividade cresce proporcionalmente ao seu consumo. Entretanto, outro fator também cresce de forma proporcional, as perdas pós-colheita, o que sugere a utilização de tecnologias para aumentar a utilização desses produtos mitigando o desperdício e aumentando sua a vida de prateleira. Além disso, oferecer o produto durante o período de entressafra. No presente trabalho, foi utilizado à tecnologia de secagem em leito de espuma aplicada a cenoura, beterraba, tomate e morango, produtos amplamente produzidos e consumidos no Brasil. Neste trabalho, os quatros produtos foram submetidos à secagem em leito de espuma em secador com ar circulado em temperaturas controladas de 40, 50, 60, 70 e 80 °C. A descrição da cinética de secagem foi realizada pelo ajuste de modelos matemáticos para cada temperatura do ar de secagem. Além disso, foi proposto um modelo matemático generalizado ajustado por regressão não linear. O modelo de Page obteve o melhor ajuste sobre os dados de secagem em todos os produtos testados, com um coeficiente de determinação (R²) superior a 98% em todas as temperaturas avaliadas. Além disso, foi possível modelar a influência da temperatura do ar sobre o parâmetro k do modelo de Page através da utilização de um modelo exponencial. O coeficiente de difusão efetiva aumentou com a elevação da temperatura, apresentando valores entre 10-8e 10-7 m².s-¹ para as temperaturas de processo. A relação entre o coeficiente de difusão efetiva e a temperatura de secagem pôde ser descrita pela equação de Arrhenius.

Estudo da cinética e influência dos métodos de secagem sobre as propriedades físico-químicas de soro de leite

O soro de leite é um subproduto da fabricação do queijo, seja por acidificação ou por processo enzimático. Em condições ideais, a caseína do leite se agrega formando um gel, que posteriormente cortado, induz a separação e liberação do soro. É utilizado de diversas formas em toda a indústria alimentícia, possui rica composição em lactose, sais minerais e proteínas. A desidratação é um dos principais processos utilizados para beneficiamento e transformação do soro. Diante disto, o objetivo deste trabalho foi avaliar a influência dos métodos de secagem: liofilização, leito de espuma (nas temperaturas de 40, 50, 60, 70 e 80ºC) e spray-dryer (nas temperaturas de 55, 60, 65, 70 e 75ºC), sobre as características de umidade, proteína, cor e solubilidade do soro, bem como estudar o seu processo de secagem. O soro foi obtido e desidratado após concentração por osmose reversa, testando 11 tratamentos, em 3 repetições, utilizando um delineamento inteiramente casualizado. Os resultados demonstraram que o modelo matemático que melhor se ajustou foi o modelo de Page, apresentado um coeficiente de determinação ajustado acima de 0,98 e erro padrão da regressão em todas as temperaturas abaixo de 0,04 para o método por leito de espuma. Para o método de liofilização os respectivos valores foram 0,9975 e 0,01612. A partir disso, pode-se elaborar um modelo matemático generalizado, apresentando um coeficiente de determinação igual a 0,9888. No caso do leito de espuma, observou-se que à medida que se aumenta a temperatura do ar de secagem, o tempo de secagem diminui e os valores do coeficiente de difusão efetiva aumentam. Porém, a redução no tempo de secagem entre os intervalos de temperatura, diminui com o aumento da mesma. A energia de ativação para a difusão no processo de secagem do soro foi de 26,650 kJ/mol e para todas as avaliações físico-químicas e tecnológicas, a análise de variância apresentou um valor de F significativo (p<0,05), indicando que há pelo menos um contraste entre as médias dos tratamentos que é significativo.

Modelo matemático para planejamento da circulação de trens em uma ferrovia de linha singela

Diversos fatores têm contribuído para o aumento da demanda por transporte ferroviário no Brasil. Dentre eles, citam-se: o aumento das exportações brasileiras nos últimos anos e a aprovação do novo marco regulatório para o setor ferroviário brasileiro que permitiu o uso da capacidade ociosa das ferrovias e o compartilhamento da malha por diversos operadores. Investimentos para construção de novas ferrovias e melhorias nas já existentes são muito elevados, o que dificulta a implantação de novos projetos. Assim, faz-se necessário melhorar o planejamento da circulação de trens visando o aumento de capacidade sem a necessidade de novos investimentos, otimizando o uso da estrutura já existente. Esta dissertação tem como objetivo propor um modelo matemático para realizar o planejamento da circulação de trens em uma ferrovia de linha singela, que minimize o transit time, isto é, o tempo total de viagem de todos os trens e consequentemente reduza o tempo parado em pátios de cruzamento. O modelo proposto permite que os trens sejam atrasados ou adiantados na partida visando reduzir o tempo parado em pátios de cruzamento. O modelo é resolvido de forma ótima usando o solver CPLEX 12.6. Foram realizados testes com dados reais da Ferrovia Centro Atlântica (FCA) e os resultados alcançados pelo CPLEX foram comparados com os resultados do planejamento manual da FCA. O modelo obteve redução do tempo de viagem dos trens em todos os cenários testados.

REENGINEERING THE CONCEPT OF URBAN CARS: A CASE STUDY

Based on a previously developed mathematical model for fuel consumption of a modular car, here we discuss the cross impacts of engineering scenarios vs. flexibility in use for modular vehicle architectures to achieve the reduction of CO2 emissions targeted by the European Union, in 2009. A systems perspective is adopted in conceptualizing a modular architecture of vehicles. From a theoretical viewpoint, we found modular architecture of vehicles a potential design strategy to minimize fuel inefficiencies and, thus, a strategy for design for environment.

Virtual simulation of the postsurgical cosmetic outcome in patientswith pectus excavatum

Pectus excavatum is the most common congenital deformity of the anterior chest wall, in which several ribs and the sternum grow abnormally. Nowadays, the surgical correction is carried out in children and adults through Nuss technic. This technic has been shown to be safe with major drivers as cosmesis and the prevention of psychological problems and social stress. Nowadays, no application is known to predict the cosmetic outcome of the pectus excavatum surgical correction. Such tool could be used to help the surgeon and the patient in the moment of deciding the need for surgery correction. This work is a first step to predict postsurgical outcome in pectus excavatum surgery correction. Facing this goal, it was firstly determined a point cloud of the skin surface along the thoracic wall using Computed Tomography (before surgical correction) and the Polhemus FastSCAN (after the surgical correction). Then, a surface mesh was reconstructed from the two point clouds using a Radial Basis Function algorithm for further affine registration between the meshes. After registration, one studied the surgical correction influence area (SCIA) of the thoracic wall. This SCIA was used to train, test and validate artificial neural networks in order to predict the surgical outcome of pectus excavatum correction and to determine the degree of convergence of SCIA in different patients. Often, ANN did not converge to a satisfactory solution (each patient had its own deformity characteristics), thus invalidating the creation of a mathematical model capable of estimating, with satisfactory results, the postsurgical outcome