Proposal of a non-linear model to adjust in vitro gas production at different incubation times

This work aims to propose a new model named Gompertz-Von Bertalanffy bicompartmental (GVB), a combination of the models Gompertz and Von Bertalanffy. The GVB models is applied to fit the kinetic curve of cumulative gas production (CGP) of four foods (SS ­ sunflower silage; CS ­ corn silage; and the mixtures 340SS ­ 660 gkg-1 of corn silage and 340 gkg-1 of sunflower silage; and 660SS ­ 340 gkg-1 of corn silage and 660 gkg-1 of sunflower silage). The GVB fit is compared to models Logistic-Von Bertalanffy bicompartmental (LVB) and bicompartmental logistic (BL). All the process studied employed the semi-automatic "in vitro" technique of producing gases used in ruminant nutrition. The gas production readout was performed at times 2, 4, 6, 8, 10, 12, 15, 19, 24, 30, 48, 72, and 96 h. The data generated were used to estimate the models' parameters by the least squared method with the iterative Gauss-Newton process. The data fit quality of the models was verified using the adjusted coefficient of determination criterion (), mean residual square (MRS), Akaike information criterion (AIC), and mean absolute deviation (MAD). Among the analyzed models, the LVB model presented the best quality of fit evaluators for CS. In contrast, the GVB model showed better quality of fit to describe CGP over time for 340SS, 660SS, and SS, presenting the highest values of () and the lowest values of MSR, AIC, and MAD.

The effect of ambient temperature on the activity influenza like illness andlaboratory-confirmed influenza in Wuxi City / 中华疾病控制杂志

Objective To evaluate the effect of ambient temperature on the activity influenza like illness (ILI) and laboratory-confirmed influenza (LAB) in Wuxi City. Methods Daily data of meteorological, ILI and detected influenza virus from 31 December 2012 to 31 December 2017 were collected. Distributed lag non-linear model (DLNM) was used to evaluate the exposure-lag-response of ILI and LAB activity to daily ambient temperature.Results During the period, the overall ILI% was 4.96% and influenza detection positive rate was 12.28% in Wuxi city. The overall cumulative association analysis suggested non-linear relationship between ambient temperature and influenza: U-shaped for ILI, while L-shaped relationship for LAB. Low temperature (＜10℃ ) had strong and longer delay effect than hightemperature (＞20℃ ) for ILI. The cold effect for LAB was stronger and longer delay，and the low temperature (＜10℃ ) was risk factor for LAB. Conclusions The ambient temperature significant correlates with ILI and LAB, and low temperature might be risk factor with lag effect.

Effects of daily average temperature on the daily number of outpatient visits for eczema in two third-grade class-A hospitals in Lanzhou city / 中华皮肤科杂志

Objective To evaluate effects of the daily average temperature on the daily number of outpatient visits for eczema in Lanzhou city.Methods Clinical data were obtained from outpatients with eczema in the Department of Dermatology of 2 third-grade class-A hospitals in Lanzhou city from January 1st 2007 to December 31st 2015,and meteorological data during this period were also collected.Controlling for confounding factors like long-term trends and day of the week,a distributed lag non-linear model (DLNM) fitted with quasi-Poisson link function was used to assess the effects of daily average temperature on the daily number of outpatient visits for eczema,and the analysis was stratified by season,age and gender.Results The exposure-response relationship between the daily average temperature and daily number of outpatient visits for eczema could be roughly described by a W-shaped curve.Stratification analysis showed that the effect of the daily average temperature on outpatient visits for eczema was strongest in autumn and winter,followed by summer,and weakest in spring.Low temperature may have lagged,cumulative and persistent effects on the daily number of outpatient visits for eczema,with the maximum relative risk (RR) value (1.12 [95％ CI:1.03-1.22]) observed at-9 ℃ on lag day 14.With a 1 ℃decrease in the temperature,16％ (RR =1.16,95％ CI:1.00-1.03),14％ (RR =1.14,95％ CI:1.02-1.26) and 13％ (RR =1.13,95％ CI:1.02-1.25) increases in the daily number of outpatient visits for eczema were observed in men,teenagers and middle-aged adults respectively (P ＜ 0.05).However,low temperature had no significant effects on outpatient visits for eczema among women or the elderly (P ＞0.05).The effect of high temperature usually occurred following exposure without lag periods,and was gradually weakened over lag time (P ＞ 0.05).Conclusions In Lanzhou,the effect of daily average temperature on outpatient visits for eczema was strongest in autumn and winter.Changes of the daily temperature may be one of risk factors for eczema.Low temperature had lagged effects on the daily number of outpatient visits for eczema,and the effects were strongest on lag day 14.

Curvas de crescimento para codornas de corte / Growth curve for quails

Objetivou-se com este trabalho comparar modelos não lineares para descrever o crescimento de codornas de corte machos e fêmeas do nascimento ao 42° dia de idade. Foram utilizados 24.679 registros de peso corporal de codornas de corte da linha fêmea LF1, pertencente ao Programa de Melhoramento de Codornas da UFVJM, em Diamantina, MG. As codornas de três gerações sucessivas foram pesadas a cada sete dias (nascimento, 7, 14, 21, 35 e 42 dias de idade). Os modelos de Brody, von Bertalanffy, Richards, Logístico e Gompertz foram ajustados ao conjunto de dados observados. Os parâmetros dos modelos foram estimados, para machos e fêmeas separadamente, pelo algoritmo de Gauss Newton, utilizando-se o procedimento NLIN do SAS. Os critérios utilizados para escolha do modelo de melhor ajuste da curva de crescimento foram o coeficiente de determinação (R²), o desvio padrão assintótico (DPA), o desvio médio absoluto dos resíduos (DMA) e o índice assintótico (IA). Dos cinco modelos utilizados, apenas o modelo de Richards não apresentou convergência, tanto para machos como para fêmeas. O menor valor para o índice assintótico (IA) foi observado para o modelo de Gompertz em machos (26,57) e o Logístico para fêmeas (25,02), indicando serem estes os modelos que mais se ajustaram aos dados.

The objective of this study was comparing non-linear models to describe the growth of quails males and females from birth to 42 days old. We used 24,679 records of body weight of quails from the female line LF1, belonging to UFVJM´s Improvement Program of Quail in Diamantina, MG. The three successive generations of quails were weighed every seven days (birth, 7, 14, 21, 35 and 42 days old). The models Brody, von Bertalanffy, Richards, Logistic and Gompertz were fitted to the data set. The model parameters were estimated for males and females separately, the Gauss Newton algorithm using the NLIN procedure of SAS The criteria used to choose the model best fit the curve of growth were the coefficient of determination (R²), the asymptotic standard deviation (ASD), the mean absolute deviation of the waste (DMA) and the asymptotic index (AI). Of the five models used only the Richards model showed no convergence, both for males and females. The lower asymptotic value for the index (AI) was observed for the Gompertz model in males (26.57) for females and Logistics (25.02), indicating that these models that best fit the data.

Modelación del crecimiento de pollitas Lohmann LSL con redes neuronales y modelos de regresión no lineal / Modeling of growth in Lohmann LSL pullets with neural networks and nonlinear regression models

Objetivo. Modelar la curva del crecimiento de aves de la línea Lohmann LSL utilizando modelos no lineales (MNL), no lineales mixtos (MNLM) y redes neuronales artificiales (RNA). Materiales y métodos. Periódicamente se pesaron 33 aves en promedio, desde el día 21 al 196 de vida para un total de 558 registros individuales de peso. En el ajuste de la curva de crecimiento se utilizaron los modelos: no lineal de Von Bertalanffy (MNL), no lineal Mixto de Von Bertalanffy (MNLM) y redes neuronales artificiales (RNA). Los modelos se compararon con coeficiente de correlación y medidas de precisión cuadrado medio del error (CME), desviación media absoluta (MAD) y porcentaje de la media absoluta del error (MAPE). Resultados. Los valores de correlación entre los datos reales y estimados, fueron 0.999, 0.990 y 0.986 para MNLM, RNA y MNL respectivamente. El modelo más preciso con base en los criterios MAPE, MAD y CME fue el MNLM, seguido por la RNA. La gráfica de predicción generada la RNA es similar a la del MNLM. La RNA presentó un desempeño superior al MLN. Conclusiones. El mejor modelo para la predicción de curvas de crecimiento de aves comerciales de la línea Lohmman LSL hasta los 196 días de edad, con múltiples mediciones por animal en el tiempo, fue el MNLM. La RNA presentó un desempeño superior al MNL.

Objective. Modeling the pullet growth curve of the Lohmann LSL line, by using nonlinear model (MNL), nonlinear mixed model (MNLM) and artificial neural networks (ANN). Materials and methods. An average of 33 birds, were weighed from day 21 to 196 of life for 558 individual weight records. To adjust the growth curve the following models were used: nonlinear Von Bertalanffy (MNL), nonlinear mixed Von Bertalanffy (MNLM) and artificial neural networks (RNA). The models were compared with a correlation coefficient and precision measurements: mean square error (MSE), Mean Absolute Deviation (MAD) and the mean absolute percentage error (MAPE). Results. Correlation values, between actual and estimated data, were 0.999, 0.990 and 0.986 for MNLM, RNA and MNL respectively. The most accurate model based on the MAPE, MAD and CME criteria was MNLM followed by RNA. The prediction graph for RNA was similar to MNLM. The RNA performance was higher than MLN. Conclusions. The best model for the prediction of growth curves of commercial Lohmman LSL birds to 196 days of age, was the MNLM, with multiple measurements per animal at the time. RNA performance was higher MLN.

Método de comparação de modelos de regressão não-lineares em bananeiras / Method of comparison of models non-linear regression in bananas trees

A utilização de modelos matemáticos para descrever o crescimento de vegetais possui uma larga aplicação na pesquisa agropecuária. Nesse tipo de pesquisa, dois problemas são freqüentes: encontrar o modelo que melhor se ajusta ao fenômeno biológico e identificar as curvas entre os tratamentos que sejam estatisticamente semelhantes. Assim, o presente trabalho teve por objetivos comparar a qualidade do ajuste de modelos de regressão não-linear e comparar as curvas provenientes desse melhor modelo em relação aos diferentes tratamentos. Para essa análise, foram utilizados os dados de um experimento instalado no arranjo fatorial 2x5, sob o delineamento em blocos casualizados. Os níveis dos fatores foram constituídos por duas cultivares de bananeira e cinco doses de um regulador de crescimento. A comparação das curvas de diferentes tratamentos foi realizada a partir da análise de agrupamento com o auxílio de três estatísticas que permitiam acessar o número ideal de grupos. Na avaliação das curvas de crescimento, o modelo logístico demonstrou-se superior. Na comparação dos tratamentos, verificou-se que o método da análise de agrupamento, com as modificações propostas, possibilitou detectar três grupos de tratamentos, assemelhando-se ao comportamento biológico.

The use of models to describe the growths of plants has a wide application in the agronomy and cattle research. In this type of research, two problems are often present: to find the model that shows more information, which is best fitted to the biologic phenomenon and identifying curves that are statistically equal. Thus, the objective of the present work was to compare the quality adjustments models of non linear regression in the description of growth and to compare the curves from this best model in relation to different treatments. Data from an experiment installed in a factorial arrangement 2x5, in a randomized design of blocks with eight repetitions were used. The levels of treatments were constituted by two banana tree cultivars and five doses of a growth regulator. The cluster analysis was used with three statistics that allowed access to the ideal number of groups. In the comparison of growth models, the superiority of the logistic model was observed. For comparison of treatments, it was verified that the cluster method analysis with the changes proposed allowed to detect three groups of treatments, that are similar to the biologic behavior.

Curvas de crescimento morfométrico de piracanjuba (Brycon orbignyanus) / Morphometric growth curves of piracanjuba (Brycon orbignyanus)

Conduziu-se um experimento no setor de piscicultura da Universidade Federal de Lavras M.G., com o objetivo de estabelecer curvas de crescimento morfométrico em função do peso corporal para a piracanjuba (Brycon orbignyanus). Alevinos de piracanjuba foram cultivados em viveiros de terra e alimentados com ração comercial até atingirem peso aproximado de 1 kg. Durante o período experimental realizaram-se amostragens aleatórias, onde foram avaliadas as medidas morfométricas comprimento da cabeça (CCAB), comprimento padrão (CP), altura (AND) e largura (LND) tomada no 1ºraio da nadadeira dorsal e as razões morfométricas (CCAB/CP, AND/CP, LND/CP, AND/LND) utilizando-se as funções de Brody, von Bertalanffy, Gompertz e Logística. As funções estudadas apresentaram bom ajuste para todas as medidas morfométricas e para a razão CCAB/CP. As funções de Brody, von Bertalanffy e Gompertz apresentaram qualidades de ajuste semelhantes e superiores à função Logística para as medidas morfométricas. Para a razão CCAB/CP a função Logística apresentou-se superior às demais. A taxa de crescimento da CCAB e LND foi superior às do CP e AND, indicando um crescimento mais rápido da cabeça e largura do que do comprimento padrão e altura. Conclui-se que todos os modelos estudados apresentaram bom ajuste, sendo o de Brody e o de von Bertalanffy os que descrevem melhor o crescimento morfométrico da piracanjuba.

An experiment was carried out at the fish farming sector of the Universidade Federal de Lavras M.G., with the objective of establishing morphometric growth curves as a function of the body weight of piracanjuba (Brycon orbignyanus). Fingerlings of piracanjuba were cultivated in earthen ponds and fed a commercial diet (ad libitum) until they reached weight of about 1 kg. During the experimental period, samplings were randomly selected to take morphometric measures of the head length (CCAB), standard length (CP), height (AND), and breadth (LND), taken at the first ray of the dorsal fin. Measures and the morphometric ratios CCAB/CP, AND/CP, LND/CP, AND/LND were evaluated by Brody, von Bertalanffy, Gompertz and Logistic functions. All models showed a good fit for morphometric measures and the CCAB/CP ratio. Brody, von Bertalanffy and Gompertz functions presented similar fit qualities when studying morphometric measures while the Logistic function provided poor fit. However, the Logistic function presented better fit quality for the CCAB/CP ratio than the other functions. Growth rate of the variables CCAB and LND was higher than CP and AND, indicating a faster growth of head and breadth in relation to standard length and height. All models studied presented good fit, but the Brody and von Bertalanffy functions better described the morphometric growth of the fish.

Modelo logístico difásico no estudo do crescimento de fêmeas da raça Hereford / Difasics logistic model in the study of the growth of Hereford breed females

Este trabalho teve como objetivo comparar modelos logísticos difásicos ponderados aplicados ao estudo de curvas de crescimento de fêmeas Hereford com três diferentes estruturas de erros: erros independentes (EI), auto-regressivos de primeira ordem (AR (1)) e auto-regressivo de segunda ordem (AR (2)) a dados de peso-idade de 55 fêmeas da raça Hereford avaliadas desde o nascimento até 675 dias de idade. Utilizou-se o procedimento model do software Statistical Analysis System (SAS) por meio das opções weight e por centoAR. A comparação entre os modelos foi realizada com base na interpretação biológica dos parâmetros e nos avaliadores de qualidade de ajuste (coeficiente de determinação ajustado, teste de Durbin-Watson, desvio padrão residual, número de iterações), além do critério de informação de Akaike (AIC) e do teste F para comparação de modelos. Os resultados obtidos para o ajuste dos modelos aos dados médios indicaram que o modelo logístico difásico AR (2) foi o mais eficiente para descrever a curva de crescimento do rebanho. Ao se considerar o conjunto de dados individuais, nenhum dos modelos abordados foi recomendado por produzirem estimativas não condizentes com a realidade.

This study had the objective of comparing weighted difasics logistic models applied to the study of Hereford females growth curves with three different error structures: independent errors (IE), first-order auto-regressive (AR (1)) and second-order auto-regressive (AR (2)) to weight-age data of 55 females of the Hereford breed, raised in the Bagé region, RS, Brazil, evaluated from birth to 675 days old. The weight and percentAR options of model procedure, available in the software Statistical Analysis System (SAS), was used to fit data. The comparison among the models was carried out through the biological interpretation basis of the parameters and in the adjustment of quality measures (adjusted determination coefficient, Durbin-Watson test, residual standard desviation, number of iterations), beyond the Akaike information criteria (AIC) and the F test for model comparison. The models fitted to mean data indicated that the difasic logistic with AR(2) structure was the most efficient to describe the herd growth curve. In the individual fit, none of the models was accepted because they didn't produce consistent estimates.

Modeling of gene regulatory networks / 第二军医大学学报

Gene regulatory networks(GRN),which focuses on the complex interactions of genes in life,is an important part in the study of the functional genomics and is the frontier of bioinformatics research.Application of gene-chip technique in bioinformatics provides a great number of basic data for the research of GRN.This paper reviews the origin and recent development of GRN,explicates the preconditions and rationales for construction of GRN,and analyzes several classic GRN models: Boolean networks,linear models,non-linear models and Bayesian networks.The rationales,basic algorithms,advantages,disadvantages and applicability of the models are reviewed based on the characteristics of gene-chip data.