کاربرد یک مدل غیرخطی مکانیستیک پنج فراسنجه ای در توصیف ریاضی شکل منحنی شیردهی گاوهای زایش اول زینه و اصیل هلشتاین ایران

Abbasi, M. A., Pahlavan, R., Afrazandeh, M. R., Kazemi, M., Hasani Bafarani, A., Kazemi, A., & Jamali, N. (2021). Investigation of standard and atypical lactation curves of Simmental and Jersey cows in Iran. Iranian Journal of Animal Science, 52(2), 123-131. doi: 10.22059/ijas.2021.323864.653826 [In Persian]

Albarrán-Portillo, B., & Pollott, G. E. (2008). Genetic parameters derived from using a biological model of lactation on records of commercial dairy cows. Journal of Dairy Science, 91(9), 3639-3648. doi: 10.3168/jds.2007-0929

Albarrán-Portillo, B., & Pollott, G. E. (2011). Environmental factors affecting lactation curve parameters in the United Kingdom’s commercial dairy herds. Archivos de Medicina Veterinaria, 43(2), 145-153. doi: 10.4067/S0301-732X2011000200007

Angeles-Hernandez, J. C., Pollott, G., Albarran-Portillo, B., Ramírez-Perez, A. H., Lizarazo-Chaparro, A., Ortega, O. A. C., & Ronquillo, M. G. (2018). The application of a mechanistic model to analyze the factors that affect the lactation curve parameters of dairy sheep in Mexico. Small Ruminant Research, 164, 58-63. doi: 10.1016/j.smallrumres.2018.05.003

Appuhamy, J. A. D. R. N., Cassell, B. G, Dechow, C. D., & Cole, J. B. (2007). Phenotypic relationships of common health disorders in dairy cows to lactation persistency estimated from daily milk weights. Journal of Dairy Science, 90(9), 4424-4434. doi: 10.3168/jds.2007-0077

Beever, D. E., Rook, A. J., France, J., Dhanoa, M. S., & Gill, M. (1991). A review of empirical and mechanistic models of lactational performance by the dairy cow. Livestock Production Science, 29(2-3), 115-130. doi: 10.1016/0301-6226(91)90061-T

Bouallegue, M., & M’Hamdi, N. (2020). Mathematical modeling of lactation curves: a review of parametric models. In: Lactation in Farm Animals - Biology, Physiological Basis, Nutritional Requirements, and Modelization, Edited by Naceur M’Hamdi. Part of IntechOpen Book Series: Veterinary Medicine and Science, 3, 95-114. doi: 10.5772/intechopen.78900  

Capuco, A. V., Wood, D. L., Baldwin, R., Mcleod, K., & Paape, M. J. (2001). Mammary cell number, proliferation, and apoptosis during a bovine lactation: relation to milk production and effect of bST. Journal of Dairy Science, 84(10), 2177-2187. doi: 10.3168/jds.S0022-0302(01)74664-4

Chen, Y., Steeneveld, W., Nielen, M., & Hostens, M. (2023). Prediction of persistency for day 305 of lactation at the moment of the insemination decision. Frontiers in Veterinary Science, 10, 1-9. doi: 10.3389/fvets.2023.1264048

Daltro, D. S., Padilha, A. H., Gama, L. T., Silva, M. V. G. B., & Cobuci, J. A. (2021). Breed, heterosis, and recombination effects for lactation curves in Brazilian cattle. Revista Brasileira de Zootecnia, 50, 1-18. doi: 10.37496/rbz5020200085

Davis, S. R., & Collier, R. J. (1985). Mammary blood flow and regulation of substrate supply for milk synthesis. Journal of Dairy Science, 68(4), 1041-1058. doi: 10.3168/jds.S0022-0302(85)80926-7 

Dekkers, J. C. M., Ten Hag, J. H., & Weersink, A. (1998). Economic aspects of persistency of lactation in dairy cattle. Livestock Production Science, 53(3), 237–252. doi: 10.1016/S0301-6226(97)00124-3

Dijkstra, J., France, J., Dhanoa, M.S., Maas, J.A., Hanigan, M.D., Rook, A.J., & Beever, D.E. (1997). A model to describe growth patterns of the mammary gland during pregnancy and lactation. Journal of Dairy Science, 80(10), 2340-2354. doi: 10.3168/jds.S0022-0302(97)76185-X

Dimauro, C., Atzori, A. S., & Pulina, G. (2011). Assessing and optimazing the performance of a mechanistic mathematical model of the sheep mammary gland. In: Sauvant, D., Van Milgen, J., Faverdin, P., Friggens, N. (Eds.), Modelling Nutrient Digestion and Utilisation in Farm Animals. Wageningen Acedemic Publishers, Wageningen, pp. 72–82. doi:10.3920/978-90-8686-712-7

Elahi Torshizi, M. (2016). Effects of season and age at first calving on genetic and phenotypic characteristics of lactation curve parameters in Holstein cows. Journal of Animal Science and Technology, 58(8), 1-14.doi: 10.1186/s40781-016-0089-1

Elahi Torshizi, M., & Farhangfar, H. (2020). The use of dijkstra mechanistic model for genetic analysis of the lactation curve characteristics and their relationships with age at first calving and somatic cell score of Iranian dairy cows. Acta Scientiarum Animal Sciences, 42, 1-12. doi: 10.4025/actascianimsci.v42i1.50181

Farhangfar, H., & Naeemipour, H. (2007). Phenotypic study of lactation curve in Iranian Holsteins. Journal of Agricultural Science and Technology, 9(4), 279-286. doi: 20.1001.1.16807073.2007.9.4.8.9

Farhangfar, H., Nezamdoost, S., Montazar Torbati, M. B., & Asghari, M. R. (2018). Genetic analysis of Pollott-Gootwine mechanistic model parameters for lactation curve of Iranian dairy cows. Journal of Animal Science Research, 28(3), 31-46. [In Persian]

Farhangfar, S. H., Rashidi Toghroljerdi, M. S., Montazer Torbati, M. B. & Sayyad Nezhad, M. B. (2023). A study on the lactation curve characteristics of grade and Iranian purebred Holstein cows with the use of raw, fat corrected, and energy-corrected milk test day records. Animal Production Research, 12(2), 71-84. doi: 10.22124/AR.2023.22771.1718 [In Persian]

Ferris, T. A., Mao, I. L., & Anderson, C. R. (1985). Selection for lactation curve and milk yield in cattle. Journal of Dairy Science, 68(6), 1438-1448. doi: 10.3168/jds.S0022-0302(85)80981-4

Gebreyohanes, G., Tegegne, A., Diedhiou, M. L., & Hegde, B. P. (2007). Persistency of lactation and comparison of different persistency measures in indigenous and crossbred cows at Bako, Ethiopian Journal of Animal Production, 7(1), 1-11.

Gengler, N. (1996). Persistency of lactation yields: a review. Interbull Bulletin, 12, 102-106.

George, D., & Mallery, P. (2020). IBM SPSS Statistics 26 Step by Step: A Simple Guide and Reference. 16^th Edition. Taylor & Francis.

Ghavi Hossein-Zadeh, N. (2014). Comparison of non-linear models to describe the lactation curves of milk yield and composition in Iranian Holsteins. The Journal of Agricultural Science, 152, 309-324. doi: 10.1017/S0021859613000415

Ghavi Hossein-Zadeh, N. (2017).  Application of growth models to describe the lactation curves for test-day milk production in Holstein cows. Journal of Applied Animal Research, 45(1), 145-151, doi: 10.1080/09712119.2015.1124336

Ghavi Hossein-Zadeh, N. (2019a). Application of non-linear mathematical models to describe effect of twinning on the lactation curve features in Holstein cows. Research in Veterinary Science, 122, 111-117. doi: 10.1016/j.rvsc.2018.11.017

Ghavi Hossein-Zadeh, N. (2019b). Comparison of the parameters of the lactation curve between normal and difficult calvings in Iranian Holstein cows. Spanish Journal of Agricultural Research, 17(1), e0401. doi: 10.5424/sjar/2019171-13673

Griver, Y. A. (1994). The FOXPRO 2.6 Codebook. Sybex, San Francisco Inc., USA.

Grossman, M., Kuck, A. L., & Norton, H. W. (1986). Lactation curves of purebred and crossbred dairy cattle. Journal of Dairy Science, 69(1), 195-203. doi: 10.3168/jds.S0022-0302(86)80386-1

Guevara Muñeton, L. P., Gloria, L. S., Benaouda, M., Teuntle-López, I. A., Valdés-Córdoba, X. S., Ángeles-Hernández, J. C., Aniceto, E. S., & Acero, A. P. (2023). The shape of curve lactation of crossbred dairy sheep affects the fitting of empirical and mechanistic models. Archivos Latinoamericanos de Producción Animal, 31(Supl. 1), 305-311. doi: 10.53588/alpa.310553

Harder, B., Bennewitz, J., Hinrichs, D., & Kalm, E. (2006). Genetic parameters for health traits and their relationship to different persistency traits in German Holstein dairy cattle. Journal of Dairy Science, 89(8), 3202-3212. doi: 10.3168/jds.S0022-0302(06)72595-4

Imagawa, W., Bandyopadhyay, G. K., & Nandi, S. (1990). Regulation of mammary epithelial cell growth in mice and rats. Endocrine Reviews, 11(4), 494-523. doi: 10.1210/edrv-11-4-494

Innes, D. J., Pot, L. J., Seymour, D. J., France, J., Dijkstra, J., Doelman, J., & Cant, J. P. (2024). Fitting mathematical functions to extended lactation curves and forecasting late-lactation milk yields of dairy cows. Journal of Dairy Science, 107(1), 329-345. doi: 10.3168/jds.2023-23478

Jamrozik, J., Schaeffer, L. R., & Dekkers, J. C. M. (1997). Genetic evaluation of dairy cattle using test day yields and random regression model. Journal of Dairy Science, 80(6), 1217-1226. doi: 10.3168/jds.S0022-0302(97)76050-8

Knight, C. H., & Wilde, C. J. (1987). Mammary growth during lactation: implications for increasing milk yield. Journal of Dairy Science, 70(9), 1991-2000. doi: 10.3168/jds.S0022-0302(87)80241-2

Koloi, S., Pathak, K., Karunakaran, M., & Mandal, A. (2018). Lactation persistency and its genetic evaluation in cattle- A Review. Research and Reviews: Journal of Dairy Science and Technology, 7(3), 1-8. doi: 10.37591/rrjodst.v7i3.1388

Madalena, F. E., Martinez, M. L., & Freitas, A. F. (1979). Lactation curves of Holstein-Friesian and Holstein-Friesian x Gir cows. Animal Production, 29(1), 101-107. doi: 10.1017/S0003356100012198

Mehraban, H., Farhangfar, H., Rahmaninia, J., & Soltani, H. A. (2009). Comparison of some functions describing the shape of the lactation curve for Holstein cows. Iranian Journal of Animal Science Research, 1(2), 47-55. doi: 10.22067/IJASR.V1I2.1974 [In Persian]

Naeemipour, H., Shariati, M. M., Zerehdaran, S., & Jabbari, M. (2018). Effects of season and age at first caving on phenotypic and genetic characteristic of lactation curve parameters in primiparous Iranian Holstein cows. Animal Science Journal, 30(117), 163-176. doi: 10.22092/ASJ.2018.116054 [In Persian]

Neal, H. D. S. C., & Thornley, J. H. M. (1983). The lactation curve in cattle: a mathematical model of the mammary gland. Journal of Agricultural Science, 101(2), 389-400. doi: 10.1017/S0021859600037710

Pollott, G. (2000). A biological approach to lactation curve analysis for milk yield. Journal of Dairy Science, 83(11), 2448-2458. doi: 10.3168/jds.sS0022-0302(00)75136-8

Pollott, G. E., & Gootwine, E. (2000). Appropriate mathematical models for describing the complete lactation of dairy sheep. Animal Science, 71(2), 197-207. doi: 10.1017/S1357729800055028

Ptak, E., & Schaeffer, L. R. (1993). Use of test day yields for genetic evaluation of dairy sires and cows. Livestock Production Science, 34(1-2), 23-34. doi: 10.1016/0301-6226(93)90033-E

Rook, A. J., France, J., & Dhanoa, M. S. (1993). On the mathematical description of lactation curves. The Journal of Agricultural Science, 121(1), 97-102. doi: 10.1017/S002185960007684X

SAS. (2013). Base SAS® 9.4 Procedures Guide Statistical Procedures. Second Edition. SAS Institute Inc., Cary, NC, USA.

Seangjun, A., Koonawootrittriron, S., & Elzo, M. A. (2009). Characterization of lactation patterns and milk yield in a multibreed dairy cattle population in the central Thailand. Kasetsart Journal - Natural Science, 43(1),74-82.

Sölkner, J., & Fuchs, W. (1987). A comparison of different measures of persistency with special respect to variation of test-day milk yields. Livestock Production Science, 16(4), 305-319. doi: 10.1016/0301-6226(87)90001-7

Svennersten-Sjaunja, K., & Olsson, K. (2005). Endocrinology of milk production. Domestic Animal Endocrinology, 29(2), 241-258. doi: 10.1016/j.domaniend.2005.03.006

Tamminga, S. (2000). Issues arising from genetic change: Ruminants. The Challenge of Genetic Change in Animal Production. W. G. Hill, S. C. Bishop, B. McGuirk, J. C. McKay, G. Simm, and A. J. Webb, ed. British Society of Animal Science, 27, 53-62. doi: 10.1017/s146398150004053x

Tekerli, M., Akinci, Z., Dogan, I., & Akcan, A. (2000). Factors affecting the shape of lactation curves of Holstein cows from the Balikesir province of Turkey. Journal of Dairy Science, 83(6), 1381-1386. doi: 10.3168/jds.S0022-0302(00)75006-5

Thornley, J. H. M., & France, J. (2007). Mathematical Models in Agriculture: Quantitative Methods for the Plant, Animal and Ecological Sciences. 2^nd ed. Wallingford, CABI. 928p.

Vetharaniam, I., Davis, S. R., Upsdell, M., Kolver, E. S., & Pleasants, A. B. (2003). Modeling the effect of energy status on mammary gland growth and lactation. Journal of Dairy Science, 86(10), 3148-3156. doi: 10.3168/jds.S0022-0302(03)73916-2

Wildman, E. E., Jones, G. M., Wagner, P. E., Boman, R. L., Troutt, H. F., & Lesch, T. N. (1982). A dairy cow body condition scoring system and its relationship to selected production characteristics. Journal of Dairy Science, 65(3), 495-501. doi: 10.3168/jds.S0022-0302(82)82223-6

Wilmink, J. B. M. (1987). Adjustment of test-day milk, fat and protein yields for age, season and stage of lactation. Livestock Production Science, 16(4), 335-348. doi: 10.1016/0301-6226(87)90003-0

Wood, P. D. P. (1967). Algebraic model of the lactation curve in cattle. Nature, 216, 164-165. doi: 10.1038/216164A0