Mustafa ŞAHİN

Comparison of Ten Different Mathematical Models Used in In-Vitro Gas Production Technique

In this study, the usability of models commonly used in in vitro gas production techniques in different feed sources was comparatively investigated. For this purpose, Richard, Logistic, Orskov, Verhulst, Janoschek, Weibull, Bridges, Mitscherling, Monomolecular and Von Bertalanffy models, which are widely used in the literature, were used. In comparing these models, criteria such as mean square error (MSE), coefficient of determination(?2), corrected coefficient of determination (R ̅^2), accuracy factor (AF), bias factor (BF), Akaike information criterion (AIC) and Bayesian information criterion (BIC) were used. As a result of the research, according to these criteria, the best model in Arbutus andrachne plant was determined as Richard, and the worst model was determined as Janoscheck and Weibull model. For Arbutus unedo, Ceratonia siliqua and Laurus nobilis L. plants, the best models were determined as Orskov, Mitscherling, Monomolecular and Von Bertalanffy models, and the worst models were Logistic and Verhulst models.

Keywords:

In-vitro, Ruminant Model comparison,

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Bayazıt M, Şahin M, Tolun T. 2022. Modeling of in vitro gas production. BSJ Agri, 5(3): 260-264.
Brody S. 1945. Bioenergetics and growth; with special reference to the efficiency complex in domestic animals. Reinhold, Oxford, UK, pp: 254.
Canbolat Ö, Kamalak A, Efe E, Şahin M, Özkan ÇÖ. 2005. Effect of heat treatment on in situ rumen degradability and in vitro gas production of full-fat soybeans and soybean meal. South African J Anim Sci, 35(3): 186-194.
Canbolat Ö, Özkan ÇÖ, Kamalak A. 2007. Effects of NaOH treatment on condensed tannin contents and gas production kinetics of tree leaves. Animal Feed Sci Technol, 138(2): 189-194.
Cankaya S, Sahin M, Abaci SH. 2014. Comparison of wood and cubic spline models for the first lactation curve of jersey cows. J Anim Plant Sci, 24(4): 1018-7081.
Getachew G, Makkar HPS, Becker K.1998. The in vitro gas coupled with ammonia measurement for evaluation of nitrogen degradability in low quality roughages using incubation medium of different buffering capacity. J Sci Food Agric, 77: 87-95.
Gök Y, Şahin M, Yavuz E. 2021. Bazı sığır irklarinda bireysel laktasyon eğrisi modellerinin karşılaştırmalı olarak incelenmesi. KSU J Agri Nat, 24(5): 1118-1125.
Groot JCJ, Cone JW, Williams BA. 1996. Debersaques, F.M.A.; Lantinga, E.A. Multiphasic analysis of gas production kinetics for in vitro fermentation of ruminant feeds. Anim Feed Sci Technol, 64: 77-89.
Kamalak A, Canbolat Ö, Gürbüz Y, Özay O, Özkan ÇÖ, Sakarya M. 2004. Chemical composition and in vitro gas production characteristics of several tannin containing tree leaves. Livestock Res Rural Devel, 16(6): 60-67.
Korkmaz M, Uckardes F, Kaygısız A. 2011. Comparison of wood, gaines, parabolic, hayashi, dhanno, and polynomial, models for lactation season curve of simmental cows. J Anim Plant Sci, 21(3): 448-458.
Lopez S, France J, Dhanoa MS, Mould F, Dijkstra J. 1999. Comparison of mathematical models to describe disappearance curves obtained using the polyester bag technique for incubating feeds in the rumen. J Anim Sci, 77: 1875-1888.
Orskov ER, Mcdonald I.1979. The estimation of protein degradability in the rumen from incubation measurements weighted according to rate of passage. J Agri Sci, 92: 499-503.
Özkan ÇÖ, Şahin M. 2006. Comparison of In situ dry matter degradation with in vitro gas production of oak leaves supplemented with or without polyethylene glycol (PEG). Asian-Australasian J Anim Sci, 19(8): 1120-1126.
Richards FJ. 1959. A flexible growth function for empirical use. J Exp Bot, 10: 290-301.
Sahin M, Guven İ, Ozkan CO, Atalay AI, Tatliyer A. 2011. Comparison of some mathematical models used in gas production technique. J Anim Vet Adv, 10(18): 2465-2469.
SAS. 1999. The SAS System for Windows. Release 8.0.1. SAS Institutue Inc, Cary, US.
Schofield P, Pitt RE, Pell AN. 1994. Kinetics of fiber digestion from in vitro gas production. J Anim Sci, 72: 2980-2991.
Tahtalı Y, Sahin M, Bayburt L. 2020. Comparison of different growth curve models in Romanov lambs. Kafkas Univ Vet Fak Derg, 26(5): 609-615.
Üçkardeş F, Efe E. 2014. Investigation on the usability of some mathematical models in vitro gas production techniques. Slovak J Anim Sci, 47: 172-179.