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Nutrient digestion and utilization in farm animals: modelling approaches.

Book cover for Nutrient digestion and utilization in farm animals: modelling approaches.

Description

This book contains 34 chapters on nutrition physiology and presents scientific research in modelling nutrient digestion and utilization in domestic animals, including cattle, sheep, pigs, poultry and fishes. It is divided into 6 parts that cover fermentation, absorption and passage; growth and development; mineral metabolism; methodology and model development; environmental impacts and animal prod...

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Chapter 7 (Page no: 54)

Functions for microbial growth.

The aim of this study was to evaluate the suitability of several mathematical functions for describing microbial growth curves. The functions considered were three-phase linear, logistic, Gompertz, Richards, Weibull and Baranyi. One data-set was used, comprising 34 curves stemming from viable count enumeration data of Yersinia enterocolitica grown on agar plates under different conditions of pH, temperature and carbon dioxide (time-constant conditions for each culture). Curves were selected to provide a wide variety of shapes with different growth rates and lag times. Statistical criteria used to evaluate model performance were based on goodness-of-fit: lowest residual mean square (RMS), extra residual variance F-test and Akaike's information criterion (AIC). The goodness-of-fit attained with all models was acceptable, with the Baranyi and three-phase linear functions showing best overall performance, followed by the Richards and Weibull, whilst the performances of the Gompertz and logistic were least satisfactory. Estimates of the maximum specific growth rate (µmax) and the lag time (T) were obtained with the six models, and then a multiple comparison was performed based on pairwise correlation analysis. Although Baranyi and three-phase linear gave lower estimates of µmax than the other four models, pairwise Pearson (R), Spearman rank-order (ρ) and Lin concordance (Rc) correlation coefficients were always greater than 0.998, 0.998 and 0.900, respectively, with a high level of statistical significance (P<0.001). These results indicate that all six models gave comparable estimates of µmax, and that all the curves were ranked in almost the same order according to the estimates of this growth attribute. However, the estimates of T varied considerably among the models, and in this case the pairwise correlation coefficients were not so high (R=0.700-0.999; ρ=0.486-0995 and Rc=0.222-0.983). In general, the Baranyi and three-phase linear gave the shortest, and the logistic model the longest, lag times. The position of the point of inflection and the different approaches used to estimate T by each model may explain the discrepancies observed among models. Our results indicate that general application of the Gompertz to describe microbial growth should be reconsidered critically, as other models showed a significantly superior ability to fit experimental data.

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Chapter: 4 (Page no: 33) Simulation of rumen particle dynamics using a non-steady state model of rumen digestion and nutrient availability in dairy cows fed sugarcane. Author(s): Collao-Saenz, E. A. Bannink, A. Kebreab, E. France, J. Dijkstra, J.
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Chapter: 10 (Page no: 99) Prediction of energy requirement for growing sheep with the Cornell Net Carbohydrate and Protein System. Author(s): Cannas, A. Tedeschi, L. O. Atzori, A. S. Fox, D. G.
Chapter: 11 (Page no: 114) Prediction of body weight and composition from body dimension measurements in lactating dairy cows. Author(s): Yan, T. Agnew, R. E. Mayne, C. S. Patterson, D. C.
Chapter: 12 (Page no: 121) Relationships between body composition and ultrasonic measurements in lactating dairy cows. Author(s): Agnew, R. E. Yan, T. Patterson, D. C. Mayne, C. S.
Chapter: 13 (Page no: 127) Empirical model of dairy cow body composition. Author(s): Martin, O. Sauvant, D.
Chapter: 14 (Page no: 135) Simulating chemical and tissue composition of growing beef cattle: from the model to the tool. Author(s): Hoch, T. Pradel, P. Champciaux, P. Agabriel, J.
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Chapter: 19 (Page no: 192) Development of a dynamic model of calcium and phosphorus flows in layers. Author(s): Dijkstra, J. Kebreab, E. Kwakkel, R. P. France, J.
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Chapter: 26 (Page no: 281) Advantages of a dynamical approach to rumen function to help to resolve environmental issues. Author(s): Bannink, A. Dijkstra, J. Kebreab, E. France, J.
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Chapter: 30 (Page no: 349) Metabolic control: improvement of a dynamic model of lactational metabolism in early lactation. Author(s): McNamara, J. P.
Chapter: 31 (Page no: 366) Rostock feed evaluation system - an example of the transformation of energy and nutrient utilization models to practical application. Author(s): Chudy, A.
Chapter: 32 (Page no: 383) The Nordic dairy cow model, Karoline - description. Author(s): Danfær, A. Huhtanen, P. Udén, P. Sveinbjörnsson, J. Volden, H.
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Chapter details

  • Author Affiliation
  • Department of Animal Production, University of León, E-24071 León, Spain.
  • Year of Publication
  • 2006
  • ISBN
  • 9781845930059
  • Record Number
  • 20063093924