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Generation of models from existing models composition: An application to agrarian sciences


Autoři: André Luiz Pinto dos Santos aff001;  Guilherme Rocha Moreira aff001;  Frank Gomes-Silva aff001;  Cícero Carlos Ramos de Brito aff002;  Maria Lindomárcia Leonardo da Costa aff003;  Luiz Gustavo Ribeiro Pereira aff004;  Rogério Martins Maurício aff005;  José Augusto Gomes Azevêdo aff006;  José Marques Pereira aff007;  Alexandre Lima Ferreira aff005;  Moacyr Cunha Filho aff001
Působiště autorů: Department of statistics and informatics, Federal Rural University of Pernambuco, Recife, Pernambuco, Brazil aff001;  Federal Institute of Pernambuco, Recife, Pernambuco, Brazil aff002;  Animal Science Department, Federal University of Paraíba, Areia, Paraíba, Brazil aff003;  Embrapa Dairy Cattle, Juiz de Fora, Minas Gerais, Brazil aff004;  Bioengineering Department, Federal University of São Joãodel-Rei, São João del-Rei, Brazil aff005;  Universidade Estadual de Santa Cruz, Ilhéus, BA, Brazil aff006;  CEPLAC-ESSUL, Itabela, Bahia, Brazil aff007
Vyšlo v časopise: PLoS ONE 14(12)
Kategorie: Research Article
doi: https://doi.org/10.1371/journal.pone.0214778

Souhrn

Mathematical models that describe gas production are widely used to estimate the rumen degradation digestibility and kinetics. The present study presents a method to generate models by combining existing models and to propose the von Bertalanffy-Gompertz two-compartment model based on this method. The proposed model was compared with the logistic two-compartment one to indicate which best describes the kinetic curve of gas production through the semi-automated in vitro technique from different pinto peanut cultivars. The data came from an experiment grown and harvested at the Far South Animal Sciences station (Essul) in Itabela, BA, Brazil and gas production was read at 2, 4, 6, 8, 10, 12, 14, 17, 20, 24, 28, 32, 48, 72, and 96 h after the start of the in vitro fermentation process. The parameters were estimated by the least squares method using the iterative Gauss-Newton process in the software R version 3.4.1. The best model to describe gas accumulation was based on the adjusted coefficient of determination, residual mean squares, mean absolute deviation, Akaike information criterion, and Bayesian information criterion. The von Bertalanffy-Gompertz two-compartment model had the best fit to describe the cumulative gas production over time according to the methodology and conditions of the present study.

Klíčová slova:

Carbohydrates – Curve fitting – Fermentation – Grasses – Maize – Mathematical models – Peanut – Two-compartment models


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