Mathematical models for estimating the parameters of ruminal degradation kinetics of protein concentrates

TEIXEIRA, Ubiara Henrique Gomes; SIMIONI, Tiago Adriano; BEZERRA, Rayane Pinho; SOARES, Kaio Augusto Ribeiro Santana Cavalini; ROMUALDO, Thayse Gomes; TORRES, Rodrigo de Nazaré Santos; SILVA, Henrique Melo; PINA, Douglas dos Santos

doi:10.1590/S1519-99402016000100008

Acessibilidade / Reportar erro

Brasil

Revista Brasileira de Saúde e Produção Animal

Español English

Brasil

Español English

sumário « anterior atual seguinte »

Sumário

Nutrição Animal • Rev. bras. saúde prod. anim. 17 (1) • Apr 2016 • https://doi.org/10.1590/S1519-99402016000100008 copy

Mathematical models for estimating the parameters of ruminal degradation kinetics of protein concentrates

Authorship SCIMAGO INSTITUTIONS RANKINGS

SUMMARY

This studied aimed to evaluate the parameters of ruminal degradation kinetics of protein concentrates, soybean meal (SM) and cotton cake (CC).To estimate the in situ degradation parameters of DM and CP from coproducts were fitted 5different non-linear mathematical models: Exponencial, Van Milgen, Logístico, Gompertz and Richards. For in situ evaluation were used two cattle cannulated in the rumen. The samples were incubate dat 0, 2, 4, 6, 12, 16, 24, 36, 48 and 72 hours and in the incubation residues were determined DM and CP and their degradability. The DM degradability of SM were 86.35, 74.23, 65.50% and to CC were 53.44, 41.70 and 35.21% in passage rates of 0.02; 0.05 and 0.08.h^-1, respectively. The SM and CC showed values for the CP soluble fraction of the 18.15, 34.77% and 79.76, 55.10% to insoluble potentially degradable fraction, respectively. According to the Akaike weights (Wi) the model of Richards has 95.45 and 49.64% of chance to be the most suitable model to characterize the in situ DM degradation of SM and CC. However, the Gompertz model has 63.86 and 66.49% chance to be the most suitable model to characterize the CP in situ degradation of SM and CC.

cotton cake; degradability; in situ soybeanmeal

Item	Coproduto

	Farelo de soja (%)	Torta de algodão
Matéria Seca	87,48	93,4
Matéria Orgânica*	92,61	93,5
Matéria Mineral*	7,4	6,5
Proteína Bruta*	53,2	28,01
Fibra detergente Neutro*	13,69	44,09
Extrato Etéreo*	1,36	9,31

Item¹	NP²	Restrições	Equações³
1	3	A, B e kd ≥ 0	Ŷ = A + B(1-exp^-kdt)
2	3	A, B e L≥ 0	Ŷ = A + B[1-(1+Lti)exp^(-Lti)]
3	3	A, B e kd ≥ 0	Ŷ = A + B / [1 + exp^{(2 – 4Kdt)}]
4	3	A, B e kd ≥ 0	Ŷ = A + Bexp^{- exp(1-kdt )}
5	4	A, B e kd≥ 0 e n ≥ -1	Ŷ = A + (AB)[(Aⁿ + ((Bⁿ- Aⁿ)exp^(-kdt))]^{(-1 /n)}

Item	M¹	Parâmetros e Erro Padrão (EP)							Estatísticas

		A	EP	B	EP	Kd	EP	Wi	RR	NS
Farelo de Soja	1	21,09	1,92	77,75	2,21	0,0966	0,0072	2,88	4,80	15
	2	27,03	1,76	69,38	2,05	0,1041	0,0122	0,16	4,96	15
	3	18,33	1,98	77,05	2,38	0,0665	0,0035	0,01	5,19	15
	4	21,18	1,81	75,16	2,14	0,1812	0,0101	1,50	4,81	16
	5	11,77	1,05	85,66	1,92	0,1346	0,0246	95,45	4,36	19

Torta de Algodão	1	25,35	1,31	43,14	1,89	0,0542	0,0064	49,64	3,67	13
	2	29,08	1,48	36,76	2,04	0,0609	0,0129	0,16	4,82	5
	3	24,41	1,70	40,33	2,35	0,0403	0,0038	0,06	5,07	5
	4	25,86	1,53	39,98	2,14	0,1064	0,0107	0,50	4,67	6
	5	11,35	1,31	55,81	2,14	0,0542	0,0064	49,64	3,67	13

Alimentos	Modelos	A	B	Kd	Degradabilidade Efetiva

					0,02	0,05	0,08
Farelo de Soja	Richards	11,77	85,66	0,1346	86,35	74,23	65,50
Torta de Algodão	Richards	12,67	55,81	0,0542	53,44	41,70	35,21

Item	M¹	Parâmetros e erro padrão (EP)							Estatísticas

		A	EP	B	EP	Kd	EP	Wi	RR	NS
Farelo de Soja	1	18,04	2,93	82,30	3,36	0,0980	0,0105	10,56	7,2908	15
	2	24,36	2,55	73,60	2,96	0,1047	0,0084	15,75	7,1709	15
	3	15,12	2,74	81,85	3,29	0,0666	0,0045	9,09	7,1694	15
	4	18,15	2,66	79,76	3,14	0,1822	0,014	63,86	7,0295	17
	5	11,00	1,54	87,35	2,78	0,1616	0,0444	0,74	7,0613	17

Torta de Algodão	1	28,62	3,63	61,99	3,61	0,1225	0,0184	1,10	7,7647	13
	2	38,95	3,16	50,78	3,55	0,1095	0,0150	31,40	8,2246	5
	3	33,38	3,66	56,76	4,41	0,0593	0,0072	0,01	9,3614	5
	4	34,77	3,29	55,10	3,78	0,1872	0,0245	66,49	8,1107	17
	5	14,31	1,63	76,30	2,51	0,1225	0,0184	1,00	7,7647	17

Alimentos	Modelos	A	B	Kd	Degradabilidade Efetiva

					PDR			PNDR

					0,02	0,05	0,08	0,02	0,05	0,08
F. Soja	Gompertz	18,15	79,76	0,1822	90,02	80,74	73,57	9,98	19,26	26,43
T. Algodão	Gompertz	34,77	55,10	0,1872	84,55	78,26	73,37	15,45	21,74	26,63

UFBA - Universidade Federal da Bahia Avenida Adhemar de Barros nº 500 - Ondina , CEP 41170-110 Salvador-BA Brasil, Tel. 55 71 32836725, Fax. 55 71 32836718 - Salvador - BA - Brazil
E-mail: rbspa@ufba.br

Acompanhe os números deste periódico no seu leitor de RSS

[1] *Endereço para correspondência: ubiara_zootec@hotmail.com