Evaluation of mathematical models to describe gas production kinetics of some tropical and temperate forages
ABSTRACT Our objective was to identify the best fit mathematical models for in vitro gas production kinetics using rumen fluid and forage plants commonly used in ruminant feed to obtain better estimates of parameters that describe the rumen fermentation. Four mathematical models were tested, two uni...
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| Abstract | ABSTRACT Our objective was to identify the best fit mathematical models for in vitro gas production kinetics using rumen fluid and forage plants commonly used in ruminant feed to obtain better estimates of parameters that describe the rumen fermentation. Four mathematical models were tested, two unicompartmental (M1 = first order, M2 = Gompertz) and two bicompartmental (M3 = M1 + M2; M4 = M2 + M2). Two temperate grasses were evaluated, as well as four tropical grasses and three temperate forage legumes. The fit of the models was verified by the corrected Akaike information criterion (AICcr) and the difference among AICcr values (Δr), likelihood probability (Wr), and relative likelihood (ERr). Temperate forages reached maximum gas production between 48 and 72 h. In the tropical forages, it occurred only after 72 h. In profiles in which M3 was the best choice, the values of parameters Vf 1 were higher than those of Vf 2, and k1 values were higher than k2 values. The only exception was for Tifton 85 profile, whose Vf 2 value was higher than Vf 1. The model M3 has a better fit for tropical forages with higher fiber content and lower levels of nonfibrous carbohydrates and crude protein. The model M1 has a better fit for forage with higher nonfibrous carbohydrate contents and low lignin content. |
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| AbstractList | ABSTRACT Our objective was to identify the best fit mathematical models for in vitro gas production kinetics using rumen fluid and forage plants commonly used in ruminant feed to obtain better estimates of parameters that describe the rumen fermentation. Four mathematical models were tested, two unicompartmental (M1 = first order, M2 = Gompertz) and two bicompartmental (M3 = M1 + M2; M4 = M2 + M2). Two temperate grasses were evaluated, as well as four tropical grasses and three temperate forage legumes. The fit of the models was verified by the corrected Akaike information criterion (AICcr) and the difference among AICcr values (Δr), likelihood probability (Wr), and relative likelihood (ERr). Temperate forages reached maximum gas production between 48 and 72 h. In the tropical forages, it occurred only after 72 h. In profiles in which M3 was the best choice, the values of parameters Vf 1 were higher than those of Vf 2, and k1 values were higher than k2 values. The only exception was for Tifton 85 profile, whose Vf 2 value was higher than Vf 1. The model M3 has a better fit for tropical forages with higher fiber content and lower levels of nonfibrous carbohydrates and crude protein. The model M1 has a better fit for forage with higher nonfibrous carbohydrate contents and low lignin content. |
| Author | Costa, Olmar Antônio Denardin Abreu, Matheus Lima Corrêa Atoji-Henrique, Katia Fluck, Ana Carolina Mayer, Lilian Regina Rothe Henrique, Douglas Sampaio Oliveira, Jhone Gleison de |
| AuthorAffiliation | Universidade Tecnológica Federal do Paraná Universidade Estadual do Norte Fluminense Universidade Federal de Mato Grosso |
| AuthorAffiliation_xml | – name: Universidade Federal de Mato Grosso – name: Universidade Tecnológica Federal do Paraná – name: Universidade Estadual do Norte Fluminense |
| Author_xml | – sequence: 1 givenname: Jhone Gleison de orcidid: 0000-0001-5471-6133 surname: Oliveira fullname: Oliveira, Jhone Gleison de – sequence: 2 givenname: Douglas Sampaio surname: Henrique fullname: Henrique, Douglas Sampaio – sequence: 3 givenname: Matheus Lima Corrêa orcidid: 0000-0002-3533-7338 surname: Abreu fullname: Abreu, Matheus Lima Corrêa – sequence: 4 givenname: Ana Carolina orcidid: 0000-0001-9133-2446 surname: Fluck fullname: Fluck, Ana Carolina – sequence: 5 givenname: Lilian Regina Rothe orcidid: 0000-0002-0244-8592 surname: Mayer fullname: Mayer, Lilian Regina Rothe – sequence: 6 givenname: Olmar Antônio Denardin orcidid: 0000-0001-5201-2618 surname: Costa fullname: Costa, Olmar Antônio Denardin – sequence: 7 givenname: Katia orcidid: 0000-0003-0250-2840 surname: Atoji-Henrique fullname: Atoji-Henrique, Katia |
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| CitedBy_id | crossref_primary_10_3389_fvets_2022_896270 crossref_primary_10_3390_fermentation8060248 |
| Cites_doi | 10.1128/AEM.56.6.1875-1881.1990 10.1093/jaoac/86.5.899 10.7591/9781501732355 10.3168/jds.S0022-0302(91)78429-4 10.1016/j.jtbi.2008.08.014 10.1590/S1413-70542013000500010 10.2134/agronj1989.00021962008100010004x 10.1021/ac60111a017 10.1590/s1806-92902017001200009 10.1093/jaoac/85.2.309 10.1177/0049124104268644 10.1016/j.anifeedsci.2011.05.001 10.3168/jds.2016-12364 10.1016/j.anifeedsci.2007.09.013 10.3168/jds.2006-689 10.1079/9780851992884.0000 10.1079/BJN19950004 10.1080/03610927808827599 10.1016/0377-8401(95)00837-3 10.1016/j.anifeedsci.2011.11.001 10.3168/jds.S0022-0302(91)78551-2 10.5713/ajas.2013.13343 10.1590/S0100-40422010000700023 10.2527/1994.72112980x 10.1093/jaoac/92.1.74 |
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| Keywords | kinetic parameters ruminal kinetics in vitro |
| Language | English Portuguese |
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| Title | Evaluation of mathematical models to describe gas production kinetics of some tropical and temperate forages |
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