[1] BALDWIN R L.Modeling ruminant digestion and metabolism[M].London:Chapman & Hall,1995:9-26.
[2] TEDESCHI L O,FOX D G,SAINZ R D,et al.Mathematical models in ruminant nutrition[J].Scientia Agricola,2005,62:76-91.
[3] MCNAMARA J P.Research,improvement and application of mechanistic,biochemical,dynamic models of metabolism in lactating dairy cattle[J].Animal Feed Science and Technology,2004,112(1):155-176.

[4] THORNLEY J H M,FRANCE J.Mathematical models in agriculture:quantitative methods for the plant,animal and ecological sciences[M].Wallingford:CABI,2007:7-10.
[5] ØRSKOV E R,MCDONALD I.The estimation of protein degradability in the rumen from incubation measurements weighted according to rate of passage[J].The Journal of Agriculture Science,1979,92(2):499-503.

[6] 熊本海,罗清尧,马毅,等.中国荷斯坦奶牛第三泌乳期泌乳曲线模型的研究[J].中国农业科学,2011,44(2):402-408.
[7] FRANCE J,KEBREAB E.Mathematical modelling in animal nutrition[M].Wallingford:CABI,2008:2-3.
[8] DUMAS A,DIJKSTRA J,FRANCE J.Mathematical modelling in animal nutrition:a centenary review[J].The Journal of Agricultural Science,2008,146(2):123-142.
[9] 倪银华,吴涛,金黎,等.哺乳动物营养代谢的时间生物学研究进展[J].中国细胞生物学学报,2011,33(2):190-196.
[10] 卢德勋.系统动物营养学导论[M].北京:中国农业出版社,2004:73.
[11] FRIGGENS N C,BRUN-LAFLEUR L,FAVERDIN P,et al.Advances in predicting nutrient partitioning in the dairy cow:recognizing the central role of genotype and its expression through time[J].Animal,2011.doi:10.1017/S1751731111001820.
[12] 卢德勋.动物机体自我营养调控功能及其实践意义[J].内蒙古畜牧科学,1995(1):1-10.
[13] INGVARTSEN K L.Feeding- and management-related diseases in the transition cow:physiological adaptations around calving and strategies to reduce feeding-related diseases[J].Animal Feed Science and Technology,2006,126(3):175-213.

[14] BAUMAN D E,CURRIE W B.Partitioning of nutrients during pregnancy and lactation:a review of mechanisms involving homeostasis and homeorhesis[J].Journal of Dairy Science,1980,63(9):1514-1529.

[15] FRIGGENS N C,NEWBOLD J R.Towards a biological basis for predicting nutrient partitioning:the dairy cow as an example[J].Animal,2007,1(1):87-97.

[16] SAUVANT D.Modelling homeostatic and homeorhetic regulations in lactating animals[J].Livestock Production Science,1994,39(1):105-113.

[17] BERGMAN E N.Energy contributions of volatile fatty acids from the gastrointestinal tract in various species[J].Physiological Reviews,1990,70(2):567-590.
[18] MURPHY M R,BALDWIN R L,KOONG L J.Estimation of stoichiometric parameters for rumen fermentation of roughage and concentrate diets[J].Journal of Animal Science,1982,55(2):411-421.
[19] BALDWIN R L,THORNLEY J H,BEEVER D E.Metabolism of the lactating cow:Ⅱ.Digestive elements of a mechanistic model[J].Journal of Dairy Research,1987,54(1):107-131.

[20] DIJKSTRA J,NEAL H D,BEEVER D E,et al.Simulation of nutrient digestion,absorption and outflow in the rumen:model description[J].The Journal of Nutrition,1992,122(11):2239-2256.
[21] BANNINK A,KOGUT J,DIJKSTRA J,et al.Estimation of the stoichiometry of volatile fatty acid production in the rumen of lactating cows[J].Journal of Theoretical Biology,2006,238(1):36-51.

[22] BANNINK A,FRANCE J,LOPEZ S,et al.Modelling the implications of feeding strategy on rumen fermentation and functioning of the rumen wall[J].Animal Feed Science and Technology,2008,143(1):3-26.

[23] HANIGAN M D,CROMPTON L A,REYNOLDS C K,et al.An integrative model of amino acid metabolism in the liver of the lactating dairy cow[J].Journal of Theoretical Biology,2004,228(2):271-289.

[24] FREETLY H C,KNAPP J R,CALVERT C C,et al.Development of a mechanistic model of liver metabolism in the lactating cow[J].Agricultural Systems,1993,41(2):157-195.

[25] FRANCE J,HANIGAN M D,REYNOLDS C K,et al.An isotope dilution model for partitioning leucine uptake by the liver of the lactating dairy cow[J].Journal of Theoretical Biology,1999,198(1):121-133.

[26] NEAL H D S C,THORNLEY J H M.The lactation curve in cattle:a mathematical model of the mammary gland[J].The Journal of Agricultural Science,1983,101(2):389-400.

[27] DIJKSTRA J,FRANCE J,DHANOA M S,et al.A model to describe growth patterns of the mammary gland during pregnancy and lactation[J].Journal of Dairy Science,1997,80(10):2340-2354.

[28] VETHARANIAM I,DAVIS S R,SOBOLEVA T K,et al.Modeling the interaction of milking frequency and nutrition on mammary gland growth and lactation[J].Journal of Dairy Science,2003,86(6):1987-1996.

[29] VETHARANIAM I,DAVIS S R,UPSDELL M,et al.Modeling the effect of energy status on mammary gland growth and lactation[J].Journal of Dairy Science,2003,86(10):3148-3156.

[30] POLLOTT G E.A biological approach to lactation curve analysis for milk yield[J].Journal of Dairy Science,2000,83(11):2448-2458.

[31] POLLOTT G E.Deconstructing milk yield and composition during lactation using biologically based lactation models[J].Journal of Dairy Science,2004,87(8):2375-2387.

[32] BALDWIN R L,FRANCE J,BEEVER D E,et al.Metabolism of the lactating cow:Ⅲ.Properties of mechanistic models suitable for evaluation of energetic relationships and factors involved in the partition of nutrients[J].Journal of Dairy Research,1987,54(1):133-145.

[33] BALDWIN R L,FRANCE J,GILL M.Metabolism of the lactating cow:Ⅰ.Animal elements of a mechanistic model[J].Journal of Dairy Research,1987,54(1):77-105.

[34] MARTIN O,SAUVANT D.A teleonomic model describing performance(body,milk and intake)during growth and over repeated reproductive cycles throughout the lifespan of dairy cattle:1.Trajectories of life function priorities and genetic scaling[J].Animal,2010,4(12):2030-2047.

[35] DANFAER A.A dynamic model of nutrient digestion and metabolism in lactating dairy cows[D].Ph.D.thesis.Foulum:National Institute of Animal Sciences,1990.
[36] HERBEIN J H,AIELLO R J,ECKLER L I,et al.Glucagon,insulin,growth hormone,and glucose concentrations in blood plasma of lactating dairy cows[J].Journal of Dairy Science,1985,68(2):320-325.

[37] MARTIN O,SAUVANT D.Dynamic model of the lactating dairy cow metabolism[J].Animal,2007,1(8):1143-1166.
[38] ELLIS J L,QIAO F,CANT J P.Evaluation of net energy expenditures of dairy cows according to body weight changes over a full lactation[J].Journal of Dairy Science,2006,89(5):1546-1557.

[39] ALLEN M S.Mind over models[C]//EASTRIDGE M L.Proceedings of the 20th annual tri-state dairy nutrition conference.Ohio:Ohio State University,2011:29-44.
[40] LUCY M C,VERKERK G A,WHYTE B E,et al.Somatotropic axis components and nutrient partitioning in genetically diverse dairy cows managed under different feed allowances in a pasture system[J].Journal of Dairy Science,2009,92(2):526-539.

[41] SUMNER-THOMSON J M,VIERCK J L,MCNAMARA J P.Differential expression of genes in adipose tissue of first-lactation dairy cattle[J].Journal of Dairy Science,2011,94(1):361-369.

[42] ALLAN M F,EISEN E J,POMP D.Genomic mapping of direct and correlated responses to long-term selection for rapid growth rate in mice[J].Genetics,2005,170(4):1863-1877.

[43] GO V L,NGUYEN C T,HARRIS D M,et al.Nutrient-gene interaction:metabolic genotype-phenotype relationship[J].The Journal of Nutrition,2005,135(12):3016S-3020S.
[44] LAVELLE C,BERRY H,BESLON G,et al.From molecules to organisms:towards multiscale integrated models of biological systems[J].Theoretical Biology Insights,2008(1):13-22.
[45] GILL M,BEEVER D E,FRANCE J.Biochemical bases needed for the mathematical representation of whole animal metabolism[J].Nutrition Research Reviews,1989,2(1):181-200.