Research Article
BibTex RIS Cite
Year 2022, Volume: 12 Issue: 3, 1770 - 1775, 01.09.2022
https://doi.org/10.21597/jist.1095933

Abstract

References

  • Karkach AS, 2006. Trajectories and models of individual growth. Demographic Research, 15: 347-400.
  • Khamis A, Ismail Z, Haron H, Mohammed TA, 2005. Nonlinear growth models for modeling oil palm yield growth. Journal of Mathematics and Statistics, 1(3): 225-233.
  • Korkmaz M, Uckardes F, 2013. Transformation to some growth models widely used in agriculture. The J. Anim Plan Sci., 23(3): 840-844.
  • Korkmaz M, 2016. Transformations of some growth models widely used in gas production Measurements. Journal of Scientific and Engineering Research, 3(2): 109-115.
  • Korkmaz M, 2017. An Applied Study on Converting Some Sigmoidal Models in Empirical Form to Meaningful Parameterized Mechanistic Models. Journal of Scientific and Engineering Research, 4(7):82-92.
  • Lopez S, Prieto M, Dijkstra J, Dhanoa MS, France J, 2004. Statistical evaluation of mathematical models for microbial growth. International Journal of Food Microbiology, 96: 289-300.
  • Motulsky HJ, Ransnas LA, 1987. Fitting curves to data using nonlinear regression: A Practical and Nonmathematical Review. FASEB J., 1, 365–374.
  • Soysal MI, Sirlar FG, Gurcan EK, 2004. An investigation on the lactation biometry of black and white dairy cattle herds raised in some public intensive farms in Turkey. Trakia Journal of Sciences, 2(3): 54-58. Tedeschi OL, Fox GD, Saintz DR, Barioni GL, Medeiros RS, Boin C, 2005. Mathematical models in ruminant nutrition. Scielo Agricalture, Brazil, 62(1): 76-91.
  • Uckardes F, 2010. Kahramanmaras Sutcu Imam University Graduate School of Natural and Applied Sciences, (PhD thesis) Kahramanmaras, Turkey.
  • Wood PDP, 1967. Algebraic model of lactation curve in cattle. Nature, 216: 164-165.
  • Zwietering MH, Jongenburger I, Rombouts FM, Van’t Riet K, 1990. Modeling of the bacterial growth curve. Applied And Environmental Microbiology, 56(6): 1875-1991

A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters

Year 2022, Volume: 12 Issue: 3, 1770 - 1775, 01.09.2022
https://doi.org/10.21597/jist.1095933

Abstract

A mathematical model is an important instrument used to get information on the attitude of a system. The mathematical models can be used to have a basic knowledge about the working of a system, lowering product costs and improving performance. In this paper, it is stated that the behavior of the system can be better understood by using biologically meaningful parameters in mathematical models. Mathematical models can be divided into two classes as empirical and mechanical models. Since the parameters not biologically menaningful in empirical models, the importance of converting these models to mechanical models containing biologically meaningful parameters has been expressed. The purpose of this manuscript is related to how Wood model widely used in lactation is converted into the model with the biologically meaningful parameters, time to maximum milk production, maximum milk production reached at time to maximum milk production and time to inflection point. For this aim, all the steps of the conversions were given stepwise.

References

  • Karkach AS, 2006. Trajectories and models of individual growth. Demographic Research, 15: 347-400.
  • Khamis A, Ismail Z, Haron H, Mohammed TA, 2005. Nonlinear growth models for modeling oil palm yield growth. Journal of Mathematics and Statistics, 1(3): 225-233.
  • Korkmaz M, Uckardes F, 2013. Transformation to some growth models widely used in agriculture. The J. Anim Plan Sci., 23(3): 840-844.
  • Korkmaz M, 2016. Transformations of some growth models widely used in gas production Measurements. Journal of Scientific and Engineering Research, 3(2): 109-115.
  • Korkmaz M, 2017. An Applied Study on Converting Some Sigmoidal Models in Empirical Form to Meaningful Parameterized Mechanistic Models. Journal of Scientific and Engineering Research, 4(7):82-92.
  • Lopez S, Prieto M, Dijkstra J, Dhanoa MS, France J, 2004. Statistical evaluation of mathematical models for microbial growth. International Journal of Food Microbiology, 96: 289-300.
  • Motulsky HJ, Ransnas LA, 1987. Fitting curves to data using nonlinear regression: A Practical and Nonmathematical Review. FASEB J., 1, 365–374.
  • Soysal MI, Sirlar FG, Gurcan EK, 2004. An investigation on the lactation biometry of black and white dairy cattle herds raised in some public intensive farms in Turkey. Trakia Journal of Sciences, 2(3): 54-58. Tedeschi OL, Fox GD, Saintz DR, Barioni GL, Medeiros RS, Boin C, 2005. Mathematical models in ruminant nutrition. Scielo Agricalture, Brazil, 62(1): 76-91.
  • Uckardes F, 2010. Kahramanmaras Sutcu Imam University Graduate School of Natural and Applied Sciences, (PhD thesis) Kahramanmaras, Turkey.
  • Wood PDP, 1967. Algebraic model of lactation curve in cattle. Nature, 216: 164-165.
  • Zwietering MH, Jongenburger I, Rombouts FM, Van’t Riet K, 1990. Modeling of the bacterial growth curve. Applied And Environmental Microbiology, 56(6): 1875-1991
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Matematik / Mathematics
Authors

Mehmet Korkmaz 0000-0002-7488-0552

Early Pub Date August 26, 2022
Publication Date September 1, 2022
Submission Date March 30, 2022
Acceptance Date July 1, 2022
Published in Issue Year 2022 Volume: 12 Issue: 3

Cite

APA Korkmaz, M. (2022). A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters. Journal of the Institute of Science and Technology, 12(3), 1770-1775. https://doi.org/10.21597/jist.1095933
AMA Korkmaz M. A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters. J. Inst. Sci. and Tech. September 2022;12(3):1770-1775. doi:10.21597/jist.1095933
Chicago Korkmaz, Mehmet. “A Study on the Conversion of Wood Model Widely Used in Lactation to the Model With the Biologically Meaningful Parameters”. Journal of the Institute of Science and Technology 12, no. 3 (September 2022): 1770-75. https://doi.org/10.21597/jist.1095933.
EndNote Korkmaz M (September 1, 2022) A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters. Journal of the Institute of Science and Technology 12 3 1770–1775.
IEEE M. Korkmaz, “A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters”, J. Inst. Sci. and Tech., vol. 12, no. 3, pp. 1770–1775, 2022, doi: 10.21597/jist.1095933.
ISNAD Korkmaz, Mehmet. “A Study on the Conversion of Wood Model Widely Used in Lactation to the Model With the Biologically Meaningful Parameters”. Journal of the Institute of Science and Technology 12/3 (September 2022), 1770-1775. https://doi.org/10.21597/jist.1095933.
JAMA Korkmaz M. A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters. J. Inst. Sci. and Tech. 2022;12:1770–1775.
MLA Korkmaz, Mehmet. “A Study on the Conversion of Wood Model Widely Used in Lactation to the Model With the Biologically Meaningful Parameters”. Journal of the Institute of Science and Technology, vol. 12, no. 3, 2022, pp. 1770-5, doi:10.21597/jist.1095933.
Vancouver Korkmaz M. A Study on the Conversion of Wood Model Widely Used in Lactation to the Model with the Biologically Meaningful Parameters. J. Inst. Sci. and Tech. 2022;12(3):1770-5.