Modelo de Gompertz com sazonalidade e autocorrelação nos erros para ajuste do crescimento ponderal em vaca leiteira

In recent work (Kroll, 1990) on dairy cattle growth using its monthly weights, a Gompertz function, first considering the autocorrelated error structure, and second, the independent error structure, was fitted. The last explained 25% more of the total variance than the former. In this work, a Gompertz function was fitted with autocorrelated error structure adding seasonality to the model. This was suggested taking into account the time series autocorrelation function. In order to estimate the six parameters, an iterative procedure was used, employing a matrix X = [G\S], where G is the usual matrix for fitting the Gompertz function, and S is a 0s, 1s, -1s matrix necessary to take into account seasonality. With this model, the adjustment was better in terms of the coefficient determination.

Curvas de crescimento e de deposição dos componentes corporais em aves de postura de diferentes linhagens

Objetivou-se com este trabalho determinar as curvas de crescimento de aves de postura das linhagens semipesadas Hy Line Marrom (HLM) e Hisex Marrom (HSM) e leves Hy Line W36 (HLW36) e Hisex Branca (HSB). Foram utilizadas 300 aves de cada linhagem, distribuídas em um delineamento experimental inteiramente casualizado, com quatro repetições de 75 aves por tratamento. Semanalmente, foram avaliados o peso vivo (PV), o peso de pena (PP) e a composição corporal de proteína, gordura, cinzas e água. As curvas de crescimento foram determinadas aplicando-se os dados na função de Gompertz. As aves semipesadas foram mais tardias para PV que as leves, com taxas de crescimento corporal e pesos à maturidade (PM) maiores. Aves da linhagem HLW36 foram 64,23 g mais leves à maturidade que as HSB. As respostas obtidas para o crescimento das penas e deposição protéica foram semelhantes, todavia, os PM foram maiores para as aves marrons que para as brancas. No entanto, para estes componentes, as Hy Line tiveram maiores deposições que as Hisex. A taxa de peso de pena à maturidade foi menor na linhagem HLW36, tornando-a três dias mais tardia em comparação à HSB. A menor deposição protéica no final do período de crescimento da HSM possibilitou o desvio da energia ingerida para deposição de gordura, resultando em PM superestimado em relação às aves HLM. As aves da linhagem Hy Line foram mais tardias na composição de cinzas, apresentando PM superiores ao das aves Hisex. Entre as variáveis estudadas, os PM foram sempre maiores nas aves Hy Line, no entanto, a deposição de água corporal nas aves Hisex foi maior, assim como as taxas máximas à maturidade foram mais tardias, o que justifica a semelhança no ganho de peso entre as diferentes linhagens, visto que os demais componentes estudados foram maiores para as Hy Line.

Efeito de linhagens e substratos no crescimento miceliano e na produtividade em cultivo axênico de shiitake (Lentinula edodes (Berk.) Pegler)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A procedure to evaluate the efficiency of utilization of dietary amino acid for poultry

The aim of this study was to develop a procedure based on Gompertz function to determine the efficiency of utilization of amino acid. The procedure was applied to determine the efficiency of utilization of dietary lysine, methionine+cystine and threonine by growing pullets and based on the efficiencies were estimated the requirements for the growth phase of birds. The Gompertz function was fitted to the data of feed intake, body weight, feather-free body protein weight and feather protein weight of four strains of laying hens in the growth phase. The rates of consumption and daily protein deposition (PD) were calculated. The amino acid deposition was obtained by multiplying the PD by the amino acid concentration in feather protein and feather-free body protein. The results showed that the efficiency of utilization of amino acid decreased with maturity and, conversely, there was a proportional increase of the requirement per kg of weight gain. The procedure based on the Gompertz function to determine the efficiency of utilization of amino acid proved to be suitable to evaluate the efficiency of utilization of amino acid and can be a useful tool to diagnose the effectiveness of the nutritional management, aiding in decision-making on the nutritional management.

Modelling the maximum potential of nitrogen deposition and requirements of lysine for broilers

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Comparison of growth curve parameters of organs and body components in meat- (Coturnix coturnix coturnix) and laying-type (Coturnix coturnix japonica) quail show interactions between gender and genotype

The objective of this study was to estimate growth parameters of carcass components (wing, thighs and drumsticks, back and breast) and organs (heart, liver, gizzard and gut) in males and females of one meat-type quail strain (Coturnix coturnix coturnix) and two laying strains (Coturnix coturnix japonica) designated either yellow or red.A total of 1350 quail from 1 to 42d old were distributed in a completely randomised design, with 5 replicates of each strain. The carcass component weights and body organs were analysed weekly and evaluated using the Gompertz function; growth rates were evaluated through derivative equations.The meat-type strain presented the highest growth rates in carcass components and organs. Across strains, females showed the highest weight of internal organs at maturity compared to males.Females had greater growth potential in breast, wings and back than males for both yellow and red laying quail.

Growth of Pleurotus ostreatus in culture media based on formulated straw or grass

Mycelial growth strains of POS 98/38, POS 09/100, POS 09/101, and POS 09/102 of Pleurotus ostreatus were evaluated in culture media with various compositions based on extracts of substrates formulated with sugar cane bagasse together with straws and grasses, and with or without nitrogen supplementation. The evaluation was performed during incubation regularly with a ruler graduated in millimeters until total colonization of the culture medium contained in Petri dishes. The statistical model explaining the kinetics of mycelial growth of mushroom strains of P. ostreatus as a deterministic component has an exponential Gompertz function. The results show that the culture medium with sugar cane straw and brizantha grass (supplemented) showed the highest rates of mycelial growth, regardless of strain used compared to wheat straw-based culture media with had the lowest velocities of growth, regardless of supplementation and strains studied.

An approximate method for the solution of an influence function foil rolling model

Fleck and Johnson (Int. J. Mech. Sci. 29 (1987) 507) and Fleck et al. (Proc. Inst. Mech. Eng. 206 (1992) 119) have developed foil rolling models which allow for large deformations in the roll profile, including the possibility that the rolls flatten completely. However, these models require computationally expensive iterative solution techniques. A new approach to the approximate solution of the Fleck et al. (1992) Influence Function Model has been developed using both analytic and approximation techniques. The numerical difficulties arising from solving an integral equation in the flattened region have been reduced by applying an Inverse Hilbert Transform to get an analytic expression for the pressure. The method described in this paper is applicable to cases where there is or there is not a flat region.

Smoothing a Discrete Hazard Function for the Number of Patients Colonized with Methicillin-Resistance Staphylococcus Aureus in an Intensive Care Unit

A new method for estimating the time to colonization of Methicillin-resistant Staphylococcus Aureus (MRSA) patients is developed in this paper. The time to colonization of MRSA is modelled using a Bayesian smoothing approach for the hazard function. There are two prior models discussed in this paper: the first difference prior and the second difference prior. The second difference prior model gives smoother estimates of the hazard functions and, when applied to data from an intensive care unit (ICU), clearly shows increasing hazard up to day 13, then a decreasing hazard. The results clearly demonstrate that the hazard is not constant and provide a useful quantification of the effect of length of stay on the risk of MRSA colonization which provides useful insight.