Traditional and biphasic nonlinear models to describe the growth of goat kids of specialized dairy breeds

Rocha, Norberto Silva; Vieira, Ricardo Augusto Mendonça; Abreu, Matheus Lima Corrêa; Araújo, Raphael Pavesi; Glória, Leonardo Siqueira; Tamy, Wagner Pessanha; Nova, Carlos H. P. Camisa; Fernandes, Alberto Magno

doi:10.1016/j.smallrumres.2014.11.002

Cited by 9 publications

(13 citation statements)

References 23 publications

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“…The application of nonlinear mathematical model had been done on some research such as Saanen goat growth (Rocha et al, 2015), fat tailed goat growth (Hamouda and Atti, 2011), and male Gujarat cattle growth (Loaiza-Echeverrri et al, 2013). In Indonesia, the application of nonlinear mathematical models was growth and age puberty in Brahman Cross cattle (Maharani et al, 2001), Holstein Frisian cattle growth (Budimulyati et al, 2012) and rabbit growth (Setiaji et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Predicting the age and weight at puberty of Ongole Grade cattle using nonlinear mathematical model in Kebumen Farmer Association

Maharani

Amrullah

Widayati

et al. 2017

J. Indonesian Trop. Anim. Agric.

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ABSTRAKPenelitian ini bertujuan untuk mengevaluasi penggunaan model matematika non-linear dalam memprediksi umur dan bobot saat pubertas sapi Peranakan Ongole (PO). Data yang digunakan berupa catatan bobot badan (768) ABSTRACTThis research is aimed to evaluate the nonlinear mathematical model in predicting the age and weight of Kebumen Ongole Grade (PO) cattle at puberty. The data used in this research was weight recordings of (768) PO cattle, ranging from calf (< 1 month) to adult (60 months), collected by Kebumen PO cattle Breeder Association (ASPOKEB) from 2013 to 2015. These cattle were reared by a group of farmers located in six sub-districts: Mirit, Lembu Purwo, Ambal, Puring, Petanahan, and Klirong in Kebumen district, Jawa Tengah Province. Brody, Bertalanfy, Logistic and Gompertz mathematical models were used to analyze the data. The analysis showed that the R 2 of the four models classify high in the category (R 2 >0.70). Mature weight (A) of PO cattle predicted by Logistic (349 kg) and Gompertz (358 kg) were most appropriate. Out of the four models, the Logistic model was the most accurate in predicting the weight at puberty (174 kg) of PO cattle, but all observed cattle are still in the follicular phase.

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Section: Introductionmentioning

confidence: 99%

Predicting the age and weight at puberty of Ongole Grade cattle using nonlinear mathematical model in Kebumen Farmer Association

Maharani

Amrullah

Widayati

et al. 2017

J. Indonesian Trop. Anim. Agric.

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“…where F t is the experimental time to freeze and parameters A , k , and b are all parameters that are predicted via least squares regression modeling (Rocha and others, ). Parameter “ A ” corresponds to the y ‐intercept of the linearized model, parameter “ k ” corresponds to the severity if the 1st order decrease and parameter “ b ” corresponds to the asymptotic value of the response variable, henceforth referred to as the maximum texture loss (MTL).…”

Section: Methodsmentioning

confidence: 99%

Effect of Freezing Rate and Microwave Thawing on Texture and Microstructural Properties of Potato (Solanum tuberosum)

Phinney

Frelka

Wickramasinghe

et al. 2017

Journal of Food Science

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Food freezing is a preservation process that works by lowering temperature while simultaneously decreasing water activity. It is accepted that although freezing preserves foods, it generally has a negative effect on textural quality. This research investigated the texture response of potatoes (Solanum tuberosum) as a function of time to freeze (defined as the time for the center temperature to reach -20 °C) and thawing process. Potatoes slices (6 mm) were blanched then frozen in an ethanol/carbon dioxide bath, a pilot scale high velocity air freezer (HVAF) and a still air freezer to achieve various times to freeze. Slices were stabilized at -20 °C and thawed by 2 methods; room temperature air and microwave. Afterwards, samples were allowed to come to room temperature prior to texture profile analysis (TPA). Results indicate a maximum texture loss of the potato was reached at a time to freeze of approximately 8 min (corresponding to the HVAF). The texture difference between room temperature and microwave thawing methods was not shown to be significant (P = 0.05). SEM images showed the cellular structure of the potato in a HVAF to be similar to that of the still air freezer, validating that the matrix was maximally damaged in both conditions. This work created a continuous quality loss model for the potato as a function of time to freeze and showed no textural benefit to high velocity over still air freezing.

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“…The monomolecular or Brody growth model is combined with the Gompertz model to form the biphasic function shown by Eqn (4), in which Y f 1 is a scale parameter (mass units) representing the asymptotic phase of the monomolecular growth phase, b is a scale parameter (mass units) and k 1 (1/day) is the specific growth rate of the first-order initial growth. The parameter Y 20 (mass units) is a scale parameter representing the intercept of the sigmoid phase of growth, and k 2 and D , both expressed as 1/day, are the specific growth rate and its fractional rate of reduction during the sigmoid growth phase, respectively (Rocha et al 2015).…”

Section: Methodsmentioning

confidence: 99%

“…Estimates of the 99% confidence intervals (99%CI) presented asĝðθ; tÞ ± t 1Àα; df ð Þ SEĝ ðθ; tÞ for the average daily rates of retention (ΔYt/Δt) of body weight (BW), empty body weight (EBW), crude protein (EBCP), crude fat (EBCF) and energy (EBE), and estimates of the 99%CI asĝðθ; X t Þ ± t 1Àα; df ð Þ SEĝ ðθ; X t Þ for EBCP, EBCF and EBE gains ðΔY t =ΔX t Þ for X t = BW and X t = EBW at specific age intervals balance between catabolic and anabolic processes scaled to the body proper as suggested by von Bertalanffy (1957). Biphasic models such as Eqn (4) can be introduced to address an asymptotic firstorder growth combined with sigmoid growth so that dY=dt ¼ k 1 ðY f 1 À YÞ þ Yk 2 expðÀDtÞ; it is assumed that the first-order growth occurs primarily during the birth-weaning period and the sigmoid growth prevails after the weaning shock (Rocha et al 2015); therefore, the constraint k 2 < k 1 must hold. Rocha et al (2015) used a set of growing Saanen kids and a smaller subset of the present data, and found some influence of short-term effects and some likely existence of inflection points for growing kids until 200 and 365 days old.…”

Section: (2014) ‡mentioning

confidence: 99%

“…Biphasic models such as Eqn (4) can be introduced to address an asymptotic firstorder growth combined with sigmoid growth so that dY=dt ¼ k 1 ðY f 1 À YÞ þ Yk 2 expðÀDtÞ; it is assumed that the first-order growth occurs primarily during the birth-weaning period and the sigmoid growth prevails after the weaning shock (Rocha et al 2015); therefore, the constraint k 2 < k 1 must hold. Rocha et al (2015) used a set of growing Saanen kids and a smaller subset of the present data, and found some influence of short-term effects and some likely existence of inflection points for growing kids until 200 and 365 days old. Because short-term effects have less influence on model fitting than a more complete time profile of animals growing to maturity (Strathe et al 2010), and for the sake of statistical rigour, Eqn (4) and its intrinsic assumptions were not likely to represent the long-term growth of the body, body parts and composition of gain of goat wethers.…”

Section: (2014) ‡mentioning

confidence: 99%

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Long-term growth of body, body parts and composition of gain of dairy goat wethers

et al. 2015

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SUMMARYThe goal of the present study was to characterize the growth of body parts and composition of the growing empty body to infer how these aspects relate to the long-term growth of goat wethers from dairy breeds. Animals were slaughtered at several ages from birth to maturity (≅900 days old). All body parts were weighed and sampled to determine chemical constituent dry matter, crude protein, crude fat, ash and specific energy. The monomolecular (Brody), Gompertz, and Richards models, a biphasic model formed by the combined Brody and Gompertz functions, and a simple linear model were fitted to the growth profiles with different variance functions and were all evaluated using likelihood-information criteria. The effect of breed (genotype) was accounted for in all models but the resulting models were not more likely than the models without the breed effect. Remarkable differences were observed regarding inflection points, growth rates and trends for all body parts and chemical constituents of the body. The biphasic model did not supplant the monomolecular, Gompertz, Richards or the linear model in terms of likelihood-information criteria. Therefore, body parts and chemical constituents of the empty body presented monomolecular, sigmoid and linear time-trends. The growth profiles of fat, protein and energy of the empty body did not scale isometrically with the empty body proper. In addition, the variance was heteroscedastic along the time scale and was better represented by both an exponential variance over time or by a power function of the mean.

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Traditional and biphasic nonlinear models to describe the growth of goat kids of specialized dairy breeds

Cited by 9 publications

References 23 publications

Predicting the age and weight at puberty of Ongole Grade cattle using nonlinear mathematical model in Kebumen Farmer Association

Predicting the age and weight at puberty of Ongole Grade cattle using nonlinear mathematical model in Kebumen Farmer Association

Effect of Freezing Rate and Microwave Thawing on Texture and Microstructural Properties of Potato (Solanum tuberosum)

Long-term growth of body, body parts and composition of gain of dairy goat wethers

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