A new mathematical model for combining growth and energy intake in animals: The case of the growing pig

Journal of Theoretical Biology

Volumn 261, Issue 2, 2009, Pages 165-175

  Strathe, A B ^a,b   Sorensen H ^c   Danfaer A ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b DANISH INSTITUTE OF AGRICULTURAL SCIENCES   (Denmark)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Energy intake; Growth; Pigs; Stochastic differential equations

Indexed keywords

ALLOMETRY; AUTOCORRELATION; BIOLOGY; BODY MASS; DATA SET; GROWTH CURVE; GROWTH RATE; GROWTH RESPONSE; MAXIMUM LIKELIHOOD ANALYSIS; METABOLISM; NUMERICAL MODEL; NUTRIENT UPTAKE; PARAMETERIZATION; STOCHASTICITY; TWO-DIMENSIONAL MODELING; WEANING;

ARTICLE; BODY WEIGHT; CALORIC INTAKE; GROWTH CURVE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; NONHUMAN; PRIORITY JOURNAL; STATISTICAL ANALYSIS; SWINE; VALIDATION PROCESS;

ANIMAL NUTRITIONAL PHYSIOLOGICAL PHENOMENA; ANIMALS; BIOMETRY; BODY WEIGHT; DIET; ENERGY INTAKE; FEMALE; MALE; MODELS, BIOLOGICAL; STOCHASTIC PROCESSES; SUS SCROFA; WEIGHT GAIN;

ANIMALIA; SUIDAE;

EID: 70349779181     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2009.07.039     Document Type: Article

References (33)

1. Andersen S., and Pedersen B. Growth and feed intake curves for group-housed gilts and castrated male pigs. J. Anim. Sci. 63 (1996) 457-464
2. Boisen S., and Fernández J.A. Prediction of the total tract digestibility of energy in feedstuffs and pig diets by in vitro analyses. Anim. Feed Sci. Technol. 68 (1997) 277-286
3. Craig B.A., and Schinckel A.P. Nonlinear mixed effects model for swine growth. Prof. Anim. Sci. 17 (2001) 256-260
4. Davidian M., and Giltinan D. Nonlinear Models for Repeated Measures Data (1995), Chapman & Hall, London
5. Emmans G.C. A method to predict the food intake of domestic animals from birth to maturity as a function of time. J. Theor. Biol. 186 (1997) 189-200
6. France J., and Thornley J.H.M. Mathematical Models in Agriculture (1984), Butterworths Publishing, London pp. 335
7. Fowler V.R. Growth in mammals for meat production. In: Lawrence T.L.J. (Ed). In Growth in Animals (1980), Butterworths, London 249-263
8. Garcia O. A stochastic differential equation model for height growth of forest stands. Biometrics 39 (1983) 1059-1072
9. Just A. The net energy value of balanced diets for growing pigs. Livest. Prod. Sci. 8 (1982) 541-551
10. Kanis E., and Koop W.J. Daily gain, food intake and food efficiency in pigs during the growth period. Anim. Prod. 50 (1990) 353-364
11. Kristensen N.R., and Madsen H. Continuous Time Stochastic Modelling-CTSM 2.3 (2003), User and Mathematics Guide-Technical University of Denmark, Lyngby, Denmark
12. Kloeden P.E., and Platen E. Numerical Solution to Stochastic Differential Equations (1992), Springer, New York
13. Kebreab E., Schulin-Zeuthen M., Lopez S., Soler J., Dias R.S., de Lange C.F.M., and France J. Comparative evaluation of mathematical functions to describe growth and efficiency of phosphorus utilization in growing pigs. J. Anim. Sci. 85 (2007) 2498-2507
14. Littell R.C., Milliken G.A., Stroup W.W., Wolfinger R.D., and Schabenberger O. SAS System for Mixed Models. second ed. (2006), SAS Institute Inc, Cary North, Carolina, USA
15. Lopez S., France J., Gerrits W.J.J., Dhanoa M.S., Humphries D.J., and Dijkstra J. A generalized Michaelis-Menton equation for the analysis of growth. J. Anim. Sci. 78 (2000) 1816-1828
16. Lorenzo J.B., Roehe R., Rave G., and Kalm E. Comparison of linear and nonlinear functions and covariance structures to estimate feed intake pattern in growing pigs. Livest. Prod. Sci. 82 (2003) 15-26
17. Mortensen S.B., Klim S., Dammann B., Kristensen N.R., Madsen H., and Overgaard R.V. A matlab framework for estimation of NLME models using stochastic differential equations-applications for estimation of insulin secretion rates. J. Pharmacokinet. Pharmacodyn. 34 (2007) 623-642
18. Mortensen, S., Klim, S., 2008. PSM: Non-linear mixed-effects modelling using stochastic differential equations. R package version 0.8-3 〈http://www.imm.dtu.dk/psm〉.
19. National Research Council, 2000. Nutrient Requirements of Beef Cattle: Seventh Revised Edition: Update 2000. National Academic Press, Washington, DC.
20. Nisbet R.M., Muller E.B., Lika K., and Kooijman S. From molecules to ecosystems through dynamic energy budget models. J. Anim. Ecol. 69 (2000) 913
21. Noblet J., Fortune H., Shi X.S., and Dubois S. Prediction of net energy value of feeds for growing pigs. J. Anim. Sci. 72 (1994) 344-354
22. Noblet, J., Shi, X.S., Dubois, S., 1994b. Effect of body weight of the net energy value of feeds for growing pigs. J. Anim. Sci. 72, 648-657.
23. Pinheiro J., and Bates D.M. Mixed Effects Models in S and S-PLUS Statistics and COMPUTING (2000), Springer, New York USA
24. Sandland R., and McGilchrist C. Stochastic growth curve analysis. Biometrics 35 (1979) 255-271
25. Schiemann R., Nehring K., Hoffmann L., Jentsch W., and Chudy A. Energetische Futterbevertung und Energienormen VEB Deutscher Landwirtschatsverlag (1972), Berlin, Germany
26. Schinckel A.P., and de Lange C.F.M. Characterization of growth parameters needed as inputs for pig growth models. J. Anim. Sci. 74 (1996) 2021-2036
27. Strathe, A.B., Danfr, A., Sorensen, H., Kebreab, E. A multilevel nonlinear mixed-effects approach to model growth in pigs. J. Anim. Sci., in press.
28. Taylor St C.S. Use of genetic size-scaling in evaluation of animals growth. J. Anim. Sci. Supp. 2 (1985) 118-143
29. Tauson A.H., Chwalibog A., Jacobsen K., and Thorbek G. Pattern of protein retention in growing boars of different breeds, and estimation of maximum protein retention. Arch. Anim. Nutr. 51 (1998) 253-262
30. Tess M.W., Dickerson G.E., Nienaber J.A., and Ferrell C.L. The effects of body composition on fasting heat production in pigs. J. Anim. Sci. 58 (1984) 99-110
31. Thompson J.M., Sun F., Kuczek T., Schinckel A.P., and Stewart T.S. The effect of genotype and sex on the patterns of protein accretion in pigs. J. Anim. Sci. 63 (1996) 265-276
32. van Milgen, J., Noblet, J., 1999. Energy partitioning in growing pigs: the use of a multivariate model as an alternative for the factorial analysis. J. Anim. Sci. 77, 2154-2162.
33. Whittemore C.T., Green D.M., and Knap P.W. Technical review of the energy and protein requirements of growing pigs: food intake. Anim. Sci. 73 (2001) 3-17