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Papers

A study of lactation curves in dairy cattle using the optimal design of experiments methodology

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Pages 594-600 | Received 02 Apr 2018, Accepted 25 Oct 2018, Published online: 22 Jan 2019

References

  • Campos-Barreiro S, López-Fidalgo J. 2013. Experimental designs for a Benign Paroxysmal Positional Vertigo model. Theor Biol Med Model. 10:1–14.
  • Cankaya S, Unalan A, Soydan E. 2011. Selection of a mathematical model to describe the lactation curves of Jersey cattle. Archiv Fur Tierzucht. 54:27–35.
  • Cobby JM, Le Du LP. 1978. Fitting curves to lactation data. Animal Prod. 26:127–134.
  • Dudouet E. 1982. Courbe de lactation théorique de la chèvre et applications (Theoretical lactation curve of the goat and its applications). Point Vet. 14:53–61.
  • Gengler N. 1996 Persistency of lactation yields: a review. Proceedings of the International Workshop on Genetic Improvement of Functional Traits in Cattle, Gembloux, Belgium. Interbull Bull. 12:87–96.
  • Gipson TA, Grossman M. 1990. Lactation curves in dairy goats: a review. Small Ruminant Res. 3:383–396.
  • Graesbøll K, Kirkeby C, Nielsen SS, Halasa T, Toft N, Christiansen LE. 2016. Models to estimate lactation curves of milk yield and somatic cell count in dairy cows at the herd level for the use in simulations and predictive models. Front Vet Sci. 3:115.
  • Haines LM. 1992. Optimal design for inverse quadratic polynomials. South African Stat J. 26:25–41.
  • Han C, Chaloner K. 2003. D- and c-optimal designs for exponential regression models used in pharmacokinetics and viral dynamics. J Stat Plan Inference. 115:585–601.
  • Hossein-Zadeh NG. 2016. Modelling lactation curve for fat to protein ratio in Holstein cows. Animal Sci Papers Rep. 34:233–246.
  • Karlin S, Studden WJ. 1966. Optimal experimental designs. Ann Math Stat. 37:783–815.
  • Kiefer J. 1974. General equivalence theory for optimum designs. Approximate theory. Ann Stat. 2:849–879.
  • Kitsos CP, Kolovos KG. 2013. A compilation of the D-optimal designs in chemical kinetics. Chem Eng Commun. 200:185–204.
  • Landete-Castillejos T, Gallego L. 2000. Technical note: the ability of mathematical models to describe the shape of lactation curves. J Animal Sci. 78:3010–3013.
  • Macciotta NPP, Dimauro C, Rassu SPG, Steri R, Pulina G. 2011. The mathematical description of lactation curves in dairy cattle. Ital J Animal Sci. 16:213–223.
  • Martínez-López I, Ortiz-Rodríguez I, Rodríguez-Torreblanca C. 2009. Optimal designs for weighted rational models. Appl Math Lett. 22:1892–1895.
  • Melzer N, Trißl S, Nürnberg G. 2017. Estimating lactation curves for highly inhomogeneous milk yield data of an F2 population (Charolais x German Holstein). J Dairy Sci. 100:9136–9142.
  • Olori VE, Brotherstone S, Hill WG, McGuirk BJ. 1999. Fit of standard models of the lactation curve to weekly records of milk production of cows in a single herd. Livestock Prod Sci. 58:55–63.
  • Quintero JC, Serna JI, Hurtado NA, Rosero Noguera R, Cerón-Muñoz MF. 2007. Modelos matemáticos para curvas de lactancia en ganado lechero. Rev Colom Cienc Pec. 20:149–156.
  • Torshizi ME, Aslamenejad AA, Nassiri MR, Farhangfar H. 2011. Comparison and evaluation of mathematical lactation curve functions of Iranian primiparous Holsteins. South African J Animal Sci. 41:105–115.
  • Wilmink J. 1987. Comparison of different methods of predicting 305-day milk yield means calculated from within herd lactation. Livestock Prod Sci. 17:1–17.
  • Wood PDP. 1967. Algebraic model of the lactation curve in cattle. Nature. 216:164–165.