Brief history and future of animal simulation models for science and application
J. L. BlackJohn L Black Consulting, Warrimoo, NSW 2774, Australia. Email: jblack@pnc.com.au
Animal Production Science 54(12) 1883-1895 https://doi.org/10.1071/AN14650
Submitted: 21 June 2014 Accepted: 16 July 2014 Published: 1 September 2014
Journal Compilation © CSIRO Publishing 2014 Open Access CC BY-NC-ND
Abstract
Mathematical equations have been used to add quantitative rigour to the description of animal systems for the last 100 years. Initially, simple equations were used to describe the growth of animals or their parts and to predict nutrient requirements for different livestock species. The advent of computers led to development of complex multi-equation, dynamic models of animal metabolism and of the interaction between animals and their environment. An understanding was developed about how animal systems could be integrated in models to obtain the most realistic prediction of observations and allow accurate predictions of as yet unobserved events. Animal models have been used to illustrate how well animal systems are understood and to identify areas requiring further research. Many animal models have been developed with the aim of evaluating alternative management strategies within animal enterprises. Several important gaps in current animal models requiring further development are identified: including a more mechanistic representation of the control of feed intake; inclusion of methyl-donor requirements and simulation of the methionine cycle; plus a more mechanistic representation of disease and the impact of microbial loads under production environments. Reasons are identified why few animal models have been used for day-to-day decision making on farm. In the future, animal simulation models are envisaged to function as real-time control of systems within animal enterprises to optimise animal productivity, carcass quality, health, welfare and to maximise profit. Further development will be required for the integration of models that run real time in enterprise management systems adopting precision livestock farming technologies.
Additional keywords: adoption, decision making, farming systems, feed intake, immune response, metabolism, methyl-donor metabolism, monogastrics, ruminants, simulation modelling.
References
Adelson DL (1991) Experimental tests of an initiation model. In ‘Workshop on wool biology’. (Ed. PI Hynd) pp. 49–56. (Australian Wool Corporation: Melbourne)Al-Rabadi GJS, Gilbert RG, Gidley MJ (2009) Effect of particle size on kinetics of starch digestion in milled barley and sorghum grains by porcine alpha-amylase. Journal of Cereal Science 50, 198–204.
| Effect of particle size on kinetics of starch digestion in milled barley and sorghum grains by porcine alpha-amylase.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1MXhtVKlsr3O&md5=13113d36f27ad8a3f7d9e7c74270c5c7CAS |
Al-Rabadi GJS, Torley PJ, Williams BA, Bryden WL, Gidley MJ (2011a) Effect of extrusion temperature and pre-extrusion particle size on starch digestion kinetics in barley and sorghum grain extrudates. Animal Feed Science and Technology 168, 267–279.
| Effect of extrusion temperature and pre-extrusion particle size on starch digestion kinetics in barley and sorghum grain extrudates.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXhtVKksLfM&md5=2a3c248f7c14bb3a0fa72daeab2bff92CAS |
Al-Rabadi GJS, Sopade PA, Gidley MJ (2011b) Particle size of milled barley and sorghum and physico-chemical properties of grain following extrusion. Journal of Food Engineering 103, 464–472.
| Particle size of milled barley and sorghum and physico-chemical properties of grain following extrusion.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXjsVeqtw%3D%3D&md5=9a254dc842dad95b485ed6cfc054c49eCAS |
Anon. (1947) Present knowledge of methyl groups in nutrition. Nutrition Reviews 5, 131–134.
ARC (Agricultural Research Council) (1965) ‘The nutrient requirements of farm livestock. No 2. Ruminants.’ (Agricultural Research Council London: London)
Baldwin RL (1995) ‘Modelling ruminant digestion and metabolism.’ (Chapman & Hall: London)
Baldwin RL, Black JL (1979) ‘Simulation of the effects of nutritional status and physiological status’. Research Laboratories Technical Paper No. 6. (CSIRO Publishing: Melbourne)
Baldwin RL, Koong LJ (1980) Mathematical modelling in analysis of ruminant digestive function: philosophy, methodology and application. In ‘Digestive physiology and metabolism in ruminants’. (Eds Y Ruckerbusch, P Thivend) pp. 251–268. (MTP Press: Lancaster, UK)
Baldwin RL, Smith NE (1971) Application of simulation modelling techniques in analysis of dynamic aspects of animal energetics. Federation Proceedings 30, 1459–1465.
Baldwin RL, France J, Gill M (1987a) Metabolism of the lactating cow: 1. Animal elements of a mechanistic model. The Journal of Dairy Research 54, 107–131.
| Metabolism of the lactating cow: 1. Animal elements of a mechanistic model.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL2sXkvFWhsg%3D%3D&md5=8442cb40efc705f11b46c7f5dcf45b46CAS | 3819150PubMed |
Baldwin RL, Thornley JHM, Beever DE (1987b) Metabolism of the lactating cow: 2. Digestive elements of a mechanistic model. The Journal of Dairy Research 54, 77–105.
| Metabolism of the lactating cow: 2. Digestive elements of a mechanistic model.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL2sXkslKitA%3D%3D&md5=43d67267723bd391d3469df7c55f71aaCAS | 3819156PubMed |
Baldwin RL, France J, Beever DE, Gill M, Thornley JHM (1987c) Metabolism of the lactating cow: 3. Properties of mechanistic models suitable for evaluation of energetic relationships and factors involved in the partition of nutrients. The Journal of Dairy Research 54, 133–145.
| Metabolism of the lactating cow: 3. Properties of mechanistic models suitable for evaluation of energetic relationships and factors involved in the partition of nutrients.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL2sXkvFWhsw%3D%3D&md5=53889228d65f8fab5fc050ac3e0b5f6fCAS | 3819152PubMed |
Banhazi TM, Black JL (2009) Precision livestock farming: a suite of electronic systems to ensure the application of best practice management on livestock farms. Australian Journal of Multi-Disciplinary Engineering 7, 1–14.
Banhazi TM, Black JL (2011) The precision livestock farming journey: from a scientific dream towards commercial reality. In ‘Multi-disciplinary approach to acceptable and practical precision livestock farming foe SME’s in Europe and world wide’. (Eds IG Smith, H Lehr) pp 192–207 (European Commission: Halifax, UK)
Banhazi TM, Lehr H, Black JL, Crabtree H, Schofield P, Tscharke M, Berckmans D (2012) Precision livestock farming: an international review of scientific and commercial aspects. International Journal of Agricultural and Biological Engineering 5, 1–9.
Bastianelli D, Sauvant D (1998) Digestion absorption and excretion. In ‘A quantitative biology of the pig’. (Ed. I Kyriazakis) pp. 249–273. (CAB International: Wallingford)
Baudracco J, Lopez-Villalobos N, Holmes CW, Comeron EA, Macdonald KA, Barry TN (2013) Dairy: a dynamic and stochastic whole-farm model that predicts biophysical and economic performance of grazing dairy systems. Animal 7, 870–878.
| Dairy: a dynamic and stochastic whole-farm model that predicts biophysical and economic performance of grazing dairy systems.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC3s3js1CqtQ%3D%3D&md5=596b9fe963eeab75f88e61c6764bcd5fCAS | 23257214PubMed |
Becu N, Neef A, Schreinemachers P, Sangkapitux C (2008) Participatory computer simulation to support collective decision-making: potential and limits of stakeholder involvement. Land Use Policy 25, 498–509.
| Participatory computer simulation to support collective decision-making: potential and limits of stakeholder involvement.Crossref | GoogleScholarGoogle Scholar |
Black JL (1995) Approaches to modelling. In ‘Modelling growth in the pig’. (Eds PJ Moughan, MWA Verstegen, MI Visser-Reyneveld) pp. 11–22. (Wageningen Pers: Wageningen, The Netherlands)
Black JL (2005) Review of the needs and availability of suitable models and decision support tools for the on-farm portfolio of Dairy Australia and its industry clients. Final report. Dairy Australia, Melbourne.
Black JL (2009) Models to predict feed intake. In ‘Voluntary feed intake in pigs’. (Eds D Torrallardona, E Roura) pp. 323–351. (Wageningen Academic Publishers: Wageningen, The Netherlands)
Black JL (2014) Cereal grains as animal feed. In ‘Encyclopaedia of food grains. Vol. 3’. (Eds H Corke, K Seetharaman, CW Wrigley) In Press. (Elsevier Publishing: Oxford, UK)
Black JL, Banhazi TM (2013) Economic and social advantages of precision livestock farming in the pig industry. In ‘The proceedings of the 6th European conference on precision livestock farming’. (Eds D Berckmans, J Vandermeulen) pp. 199â208. (Catholic University of Leuven: Leuven, Belgium)
Black JL, de Lange CFM (1995) Introduction to the principles of nutrient partitioning for growth. In ‘Modelling growth in the pig’. (Eds PJ Moughan, MWA Verstegen, MI Visser-Reyneveld) pp. 33–45. (Wageningen Pers: Wageningen, The Netherlands)
Black JL, Reis PJ (1979) Speculation on the control of nutrient partition between wool growth and other body functions. In ‘Physiological and environmental limitations to wool growth’. (Eds JL Black, PJ Reis) pp. 269–294. (University of New England Publishing Unit: Armidale, NSW)
Black JL, Beever DE, Faichney GJ, Howarth BR, Graham NMcC (1981) Simulation of the effects of rumen function on the flow of nutrients from the stomach of sheep: Part 1. Description of a computer program. Agricultural Systems 6, 195–219.
| Simulation of the effects of rumen function on the flow of nutrients from the stomach of sheep: Part 1. Description of a computer program.Crossref | GoogleScholarGoogle Scholar |
Black JL, Campbell RG, Williams IH, James KJ, Davies GT (1986) Simulation of energy and amino acid utilisation in the pig. Research and Development in Agriculture 3, 121–145.
Black JL, Davies GT, Fleming JF (1993) Role of computer simulation in the application of knowledge to animal industries. Australian Journal of Agricultural Research 44, 541–555.
| Role of computer simulation in the application of knowledge to animal industries.Crossref | GoogleScholarGoogle Scholar |
Black JL, Giles LR, Wynne PC, Knowles AG, Kerr CA, Jones MR, Strom AD, Gallagher NL, Eamens GJ (2001) A review – Factors limiting the performance of growing pigs in commercial environments. In ‘Manipulating pig production VIII’. (Ed. PD Cranwell) pp. 9–36. (Australasian Pig Science Association: Werribee, Vic.)
Black JL, Williams BA, Gidley MJ (2009) Metabolic regulation of feed intake in monogastric mammals. In ‘Voluntary feed intake in pigs’'. (Eds D Torrallardona, E Roura) pp. 189-213. (Wageningen Academic Publishers: Wageningen, The Netherlands)
Black JL, Hughes RJ, Diffey S, Tredrea AM, Flinn PC, Spragg JC, Kim JC (2014) Rapid assessment of feed ingredient quality. In ‘Annual Australian poultry science symposium 25’. pp. 23–30. (The University of Sydney: Sydney)
Blaxter KL (1962) ‘Energy metabolism of ruminants.’ (Hutchinson: London)
Borel MJ, Buchowski MS, Turner EA, Goldstein RE, Flakoll PJ (1998) Protein turnover and energy expenditure increases during exogenous nutrient availability in sickle cell disease. The American Journal of Clinical Nutrition 68, 607–614.
Brody S, Ragsdale AC (1921) The rate of growth of the dairy cow: extrauterine growth in weight. The Journal of General Physiology 3, 623–633.
| The rate of growth of the dairy cow: extrauterine growth in weight.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaB3MXhtlaitw%3D%3D&md5=68ffdd1a20ff500c05d5d6bac22f5740CAS | 19871892PubMed |
Brosnan JT, Brosnan ME (2006) The sulphur containing amino acids: an overview. The Journal of Nutrition 136, 1636S–1640S.
Brosnan ME, Edison EE, da Silva R, Brosnan JT (2007) New insights into creatine function and synthesis. Advances in Enzyme Regulation 47, 252–260.
| New insights into creatine function and synthesis.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXhtVOhsbc%3D&md5=1c28c54d8df2d0e14b5e1f769cfe1847CAS | 17335874PubMed |
Bruce JM, Clark JJ (1979) Models of heat production and critical temperature of growing pigs. Animal Production 28, 353–369.
| Models of heat production and critical temperature of growing pigs.Crossref | GoogleScholarGoogle Scholar |
Cadogan DJ, Choct M, Campbell RG, Kershaw S (1999) Effect of new season’s wheat on the growth performance of young male pigs. In ‘Manipulating pig production VII’. (Ed. PD Cranwell) p. 40. (Australasian Pig Science Association: Werribee, Vic.)
Chambers JD Thomas EA Bornstein JC (2013 )
Cronjé P (2008) The requirements of pigs for methyl groups. Report to the Pork CRC Ltd, Roseworthy, SA.
Dalla Man C, Rizza RA, Cobelli C (2007) Meal simulation model of the glucose-insulin system. IEEE Transactions on Bio-Medical Engineering 54, 1740–1749.
| Meal simulation model of the glucose-insulin system.Crossref | GoogleScholarGoogle Scholar | 17926672PubMed |
de Lange CFM, Marty B, Birkett S, Moral P, Szkotnicki B (2001) Application of pig growth models in commercial production. Canadian Journal of Animal Science 81, 1–8.
| Application of pig growth models in commercial production.Crossref | GoogleScholarGoogle Scholar |
Dhital S, Shrestha AK, Gidley MJ (2010) Relationships between granule size and in-vitro digestibility of maize and potato starches. Carbohydrate Polymers 82, 480–488.
| Relationships between granule size and in-vitro digestibility of maize and potato starches.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXptValtr4%3D&md5=6f92624b457f1f5e07682b146dab5eecCAS |
Dijkstra J, Neal HD, Beever DE, France J (1992) Simulation of nutrient digestion, absorption and outflow in the rumen: model description. The Journal of Nutrition 122, 2239–2256.
Dumas A, Dijkstra J, France J (2008) Mathematical modelling in animal nutrition: a centenary review. The Journal of Agricultural Science 146, 123–142.
| Mathematical modelling in animal nutrition: a centenary review.Crossref | GoogleScholarGoogle Scholar |
Ellis JL, Dijkstra J, Kebreab E, Bannink A, Odongo NE, McBride BW, France J (2008) Aspects of rumen microbiology central to mechanistic modelling of methane production in cattle. Journal of Agricultural Science 146, 213–233.
| Aspects of rumen microbiology central to mechanistic modelling of methane production in cattle.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXjs12kuro%3D&md5=094e65bd32dcf71ad8fcbedc978d1c52CAS |
Ellis JL, Dijkstra J, Bannink A, Parsons AJ, Rasmussen S, Edwards GR, Kebreab E, France J (2011) The effect of high-sugar grass on predicted nitrogen excretion and milk yield simulated using a dynamic model. Journal of Dairy Science 94, 3105–3118.
| The effect of high-sugar grass on predicted nitrogen excretion and milk yield simulated using a dynamic model.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXnvFCnsrw%3D&md5=6065edfd12b131a52bcfef171c4f8229CAS | 21605779PubMed |
Emmans GC (1981) A model of the growth and feed intake of ad libitum fed animals, particularly poultry. In ‘Computers in animal production’. (Eds GM Hillyer, CT Whittemore, RG Gunn) pp. 103–110. Occasional Publication No. 5. (British Society of Animal Production: Thames Ditton, UK)
Emmans GC (1989) The growth of turkeys. In ‘Recent advances in turkey science’. (Eds C Nixey, TC Grey) pp. 135–166. (Butterworths: London)
Emmans GC, Fisher C (1986) Problems in nutritional theory. In ‘Nutrient requirements of poultry and nutritional research’. (Eds C Fisher, KN Boorman) pp. 9–39. (Butterworths: London)
Emmans GC, Oldham JD (1988) Modelling of growth and nutrition in different species. In ‘Modelling livestock production systems’. (Eds S Karver, JAM van Arendonk) pp. 13–21. (Kluwer Academic: Dordrecht, The Netherlands)
FAO/WHO (1957) ‘Protein requirements. Nutrition studies. No. 6.’ (Food and Agriculture Organisation of the United Nations: Rome)
FAO/WHO (1965) ‘Protein Requirements. Nutrition studies. No. 37.’ (Food and Agriculture Organisation of the United Nations: Rome)
Farhy LS (2010) Modeling of oscillations in endocrine networks with feedbacks. In ‘Essential Numerical Computer Methods’. (Ed. ML Johnson) pp. 309–336. (Academic Press: Burlington, MA)
Ferguson NS (2006) Basic concepts describing animal growth and feed intake. In ‘Mechanistic modelling in pig and poultry production’. (Eds RM Gous, TR Morris, C Fisher) pp. 22–53. (CAB International: Wallingford, UK)
Ferguson NS (2014) Commercial application of integrated models to improve performance and profitability in finishing pigs. In ‘Nutrition modelling for pigs and poultry’. (Eds NK Sakmoura, R Gous, I Kyriazakis, L Hauschild) In Press. (CAB International: Wallingford, UK)
Forbes JM (2007) A personal view of how ruminant animals control their intake and choice of food: minimal total discomfort. Nutrition Research Reviews 20, 132–146.
| A personal view of how ruminant animals control their intake and choice of food: minimal total discomfort.Crossref | GoogleScholarGoogle Scholar | 19079866PubMed |
Forbes JM (2009) Integration of pre- and post-absorptive factors in feed intake regulation and prediction with particular respect to the pig. In ‘Voluntary feed intake in pigs’. (Eds D Torrallardona, E Roura) pp. 61–86. (Wageningen Academic Publishers: Wageningen, The Netherlands)
France J, Dijkstra J (2000). Scientific progress and mathematical modelling: different approaches to modelling animal systems. In ‘Modelling nutrient utilisation in farm animals’. (Eds JP McNamara, J France, DE Beever) pp. 6–21. (CAB International: Wallingford, The Netherlands)
Garfinkel D (1966) A simulation study of the metabolism and compartmentation in brain glutamate, aspartate, the krebs cycle, and related metabolites. The Journal of Biological Chemistry 241, 3918–3929.
Gous RM (2014) A model to optimise broiler production. In ‘Nutrition modelling for pigs and poultry’. (Eds NK Sakmoura, R Gous, I Kyriazakis, L Hauschild) In Press. (CAB International: Wallingford, UK)
Gous RM, Berhe ET (2006) Modelling populations for purposes of optimization. In ‘ Mechanistic modelling in pig and poultry production’. (Eds RM Gous, C Fisher, T Morris) pp 76–96 (CAB International: Wallingford, UK)
Graham NMcC, Black JL, Faichney GJ, Arnold A (1976) Simulation of growth and production in liveweight change, day by day for sheep of any age. Agricultural Systems 1, 113–138.
| Simulation of growth and production in liveweight change, day by day for sheep of any age.Crossref | GoogleScholarGoogle Scholar |
Hauschild L, Lovatto PA, Pomar J, Pomar C (2012) Development of sustainable precision farming systems for swine: estimating real-time individual amino acid requirements in growing-finishing pigs. Journal of Animal Science 90, 2255–2263.
| Development of sustainable precision farming systems for swine: estimating real-time individual amino acid requirements in growing-finishing pigs.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC38XhtFehsbvI&md5=6f463a256d4b45d68362f4b15b7d27d6CAS | 22287679PubMed |
Huxley JS (1924) Constant differential growth-ratios and their significance. Nature 114, 895–896.
| Constant differential growth-ratios and their significance.Crossref | GoogleScholarGoogle Scholar |
Huxley JS, Teissier G (1936) Terminology of relative growth. Nature 137, 780–781.
| Terminology of relative growth.Crossref | GoogleScholarGoogle Scholar |
Johnston SA, Gous RM (2006) Modelling egg production in laying hens. In ‘Mechanistic modelling in pig and poultry production’. (Eds RM Gous, TR Morris, C Fisher) pp. 188–208. (CAB International: Wallingford, UK)
Keating BA, McCown RL (2001) Advances in farming systems analysis and intervention. Agricultural Systems 70, 555–579.
Kebreab E, Vitti DMSS, Odongo NE, Dias RS, Crompton LA, France J (2008) Modelling phosphorus metabolism. In ‘Mathematical modelling in animal nutrition’. (Eds J France, E Kebreab) pp. 353–369. (CAB International: Wallingford, UK)
Klasing KC (2007) Nutrition and the immune system. British Poultry Science 48, 525–537.
| Nutrition and the immune system.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2sXhtFyrurrK&md5=e7a83065d713367bcd4f46fd6e585852CAS | 17952723PubMed |
Knap PW (1995) Aspects of stochasticity: variation between animals. In ‘Modelling growth in the pig’. (Eds PJ Moughan, MWA Verstegen, MI Visser-Reyneveld) pp. 165–172. (Wageningen Pers: Wageningen, The Netherlands)
Kyriazakis I, Doeschl-Wilson A (2009) Anorexia during infection in mammals: variation and its sources. In ‘Voluntary feed intake in pigs’. (Eds D Torrallardona, E Roura) pp. 307–321. (Wageningen Academic Publishers: Wageningen, The Netherlands)
Kyriazakis I, Emmans GC (1998) Voluntary feed intake and diet selection. In ‘A quantitative biology of the pig’. (Ed. I Kyriazakis) pp. 229–248. (CAB International: Wallingford, UK)
Mahasukhonthachat K, Sopade PA, Gidley MJ (2010a) Kinetics of starch digestion and functional properties of twin-screw extruded sorghum. Journal of Cereal Science 51, 392–401.
| Kinetics of starch digestion and functional properties of twin-screw extruded sorghum.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXmsVeksrg%3D&md5=ff793731ee9cd45ed944d65cfd301221CAS |
Mahasukhonthachat K, Sopade PA, Gidley MJ (2010b) Kinetics of starch in sorghum as affected by particle size. Journal of Food Engineering 96, 18–28.
| Kinetics of starch in sorghum as affected by particle size.Crossref | GoogleScholarGoogle Scholar |
Menzies TJ, Black JL, Dean M, Fleming JF (1990). Combining heuristics and simulation models: an expert system for optimal management of pigs. In ‘AI’88. Proceedings of the Australian joint artificial intelligence conference’. pp. 48–61. (Springer-Verlag: London)
Moughan PJ (1995) Modelling protein metabolism in the pig – critical evaluation of a simple reference model. In ‘Modelling growth in the pig’. (Eds PJ Moughan, MWA Verstegen, MI Visser-Reyneveld) pp. 103–112. (Wageningen Pers: Wageningen, The Netherlands)
Moughan PJ, Smith WC, Pearson G (1987) Description and validation of a model simulating growth in the pig (20–90 kg liveweight). New Zealand Journal of Agricultural Research 30, 481–489.
| Description and validation of a model simulating growth in the pig (20–90 kg liveweight).Crossref | GoogleScholarGoogle Scholar |
Mudd SH, Brosnan JT, Brosnan ME, Jacobs RL, Stabler SP, Allen RH, Vance DE, Wagner C (2007) Methyl balance and transmethylation fluxes in humans. The American Journal of Clinical Nutrition 85, 19–25.
Mullan BP, Davies GT, Cutler RS (1994) Simulation of the economic impact of transmissible gastroenteritis on commercial pig production in Australia. Australian Veterinary Journal 71, 151–154.
| Simulation of the economic impact of transmissible gastroenteritis on commercial pig production in Australia.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaK2czkslSgtw%3D%3D&md5=a181e51fdc61437e605ad49434263b18CAS | 8067950PubMed |
Muramatsu T, Takasu O, Furuse M, Okumura J-I (1988) Effect of diet type on enhanced intestinal protein synthesis by the gut microflora in the chick. The Journal of Nutrition 118, 1068–1074.
Nagorcka BN, Mooney JR (1989) The reaction-diffusion system as a spatial organiser during initiation and development of hair follicle and formation of fibre. In ‘The biology of wool and hair’. (Eds GE Rogers, PJ Reis, KA Ward, RC Marshall) pp. 365–379. (Chapman & Hall: New York)
Nagorcka BN Zurcher EJ (2002 )
Nagorcka BN, Gordon GLR, Dynes RA (2000) Towards a more accurate representation of fermentation in mathematical models of the rumen. In ‘Modelling nutrient utilisation in farm animals’. (Eds JP McNamara, J France, DE Beever) pp. 37–48. (CAB International: Wallingford, UK)
Nagorcka BN, Charmley E, Duynisveld JL (2004) Using a dynamic model to understand the difference in performance of cattle fed rations based on barley and/or a potato processing by-product. Journal of Animal Science 82, 159 [Abstract].
Newman S, Lynch T, Plummer AA (2000) Success and failure of decision support systems: learning as we go. Journal of Animal Science 77, 1–12.
Niculescu MD (2012) Nutritional epigenetics. ILAR Journal 53, 270–278.
| Nutritional epigenetics.Crossref | GoogleScholarGoogle Scholar | 23744966PubMed |
Nijhout HF, Reed MC, Anderson DF, Mattingly JC, James J, Ulrich CM (2006) Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate. Epigenetics 1, 81–87.
| Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate.Crossref | GoogleScholarGoogle Scholar | 17998813PubMed |
Nyachoti CM, Zilstra RT, de Lange CFM, Patience JF (2004) Voluntary feed intake in growing-finishing pigs: a review of the main determining factors and potential approaches for accurate predictions. Canadian Journal of Animal Science 84, 549–566.
| Voluntary feed intake in growing-finishing pigs: a review of the main determining factors and potential approaches for accurate predictions.Crossref | GoogleScholarGoogle Scholar |
Obeid R (2013) The metabolic burden of methyl donor deficiency with focus on the betaine homocysteine methyltransferase pathway. Nutrients 5, 3481–3495.
| The metabolic burden of methyl donor deficiency with focus on the betaine homocysteine methyltransferase pathway.Crossref | GoogleScholarGoogle Scholar | 24022817PubMed |
Oltjen JW, Bywater AC, Baldwin RL, Garrett WN (1986) Development of a dynamic model of beef cattle growth and composition. Journal of Animal Science 62, 86–97.
Oltjen JW, Selk GE, Burditt LG, Plant RE (1990) Integrated expert system for culling management of cows. Computers and Electronics in Agriculture 4, 333–341.
| Integrated expert system for culling management of cows.Crossref | GoogleScholarGoogle Scholar |
Pannell DJ (2004) Flat-earth economics: the far-reaching consequences of flat payoff functions in economic decision making. Paper presented at 48th annual conference of the Australian Agricultural and Resource Economics Society, Melbourne, 11–13 February 2004.
Pomar C, Pomar J, Rivest J, Cloutier L, Letourneau-Montminy M-P, Andretta I, Hauschild L (2014) Estimating real-time amino acid requirements in growing-finishing pigs: towards a new definition of nutrient requirements in growing-finishing pigs? In ‘Nutrition modelling for pigs and poultry’. (Eds NK Sakmoura, R Gous, I Kyriazakis, L Hauschild) In Press. (CAB International: Wallingford, UK)
Poppi DP (2008) The dilemma in models of intake regulation: mechanistic or empirical. In ‘Mathematical modelling in animal nutrition’. (Eds J France, E Kebreab) pp. 121–141. (CAB International: Wallingford, UK)
Poppi DP, Gill M, France J (1994) Integration of theories of intake regulation in growing ruminants. Journal of Theoretical Biology 167, 129–145.
| Integration of theories of intake regulation in growing ruminants.Crossref | GoogleScholarGoogle Scholar |
Preisler HK, Ager AA, Johnson BK, Kie JG (2004) Modeling animal movements using stochastic differential equations. Environmetrics 15, 643–657.
| Modeling animal movements using stochastic differential equations.Crossref | GoogleScholarGoogle Scholar |
Prudova A, Martinov MV, Vitvitsky VM, Ataullakhanov FI, Banerjee R (2005) Analysis of pathological defects in methionine metabolism using a simple mathematical model. Biochimica et Biophysica Acta 1741, 331–338.
| Analysis of pathological defects in methionine metabolism using a simple mathematical model.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD2MXhtVegurjL&md5=ce5c1cd8f58c6f2e76e5ff9f8049e9b0CAS | 15963701PubMed |
Reed MC, Nijhout HF, Sparks R, Ulrich CM (2004) A mathematical model of the methionine cycle. Journal of Theoretical Biology 226, 33–43.
| A mathematical model of the methionine cycle.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3sXptVers74%3D&md5=488661cbd5cce2b288b3463c602f3314CAS | 14637052PubMed |
Reed MC, Nijhout HF, Neuhouser ML, Gregory JF, Shane B, James SJ, Boynton A, Ulrich CM (2006) A mathematical model gives insights into nutritional and genetic aspects of folate-mediated one-carbon metabolism. The Journal of Nutrition 136, 2653–2661.
Reed MC, Thomas RL, Pavisic J, James SJ, Ulrich CM, Nijhout HF (2008) A mathematical model of glutathione metabolism. Theoretical biology and medical modelling 5:8. Available at http://www.thbiomed.com/content/5/1/8). [Accessed 16 June 2014]
Rigolot C, Espagnol S, Robin P, Hassouna M, Piallat JM, Dourmad J-Y (2010) Modelling of manure production by pigs and NH3, NO2 and CH4 emissions. Part II: effect of animal housing, manure storage and treatment practices. Animal 4, 1413–1424.
| Modelling of manure production by pigs and NH3, NO2 and CH4 emissions. Part II: effect of animal housing, manure storage and treatment practices.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXotVCmtrY%3D&md5=1390d05dd2fb08a646506cabd9a33e37CAS | 22444661PubMed |
Rivera-Torres V (2014) Challenges around the application of poultry models: the case of turkeys. In ‘Nutrition modelling for pigs and poultry’. (Eds NK Sakmoura, R Gous, I Kyriazakis, L Hauschild) In Press. (CAB International: Wallingford, UK)
Rivest J, Bernier JF, Pomar C (2000) A dynamic model of protein digestion in the small intestine of pigs. Journal of Animal Science 78, 328–340.
Robinson B (2004) Learning how to improve the development and application of hard systems tools for farming systems research, development and extension. Abstract, PhD Thesis. University of Western Sydney.
Roche JR, Blanche D, Kay JK, Miller DR, Sheahan AJ, Miller DW (2008) Neuroendocrine and physiological regulation of feed intake with particular reference to domestic ruminant animals. Nutrition Research Reviews 21, 207–234.
Roe CF, Kinney JM (1965) The caloric equivalent of fever. II. Influence of major trauma. Annals of Surgery 161, 140–147.
| The caloric equivalent of fever. II. Influence of major trauma.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DyaF2M%2FlslWhsw%3D%3D&md5=c4c1d312d8bb7eaaf2828be3e9401653CAS | 14252624PubMed |
Rorres C, Pelletier ST, Smith G (2011) Stochastic modeling of animal epidemics using data collected over three different spatial scales. Epidemics 3, 61–70.
| Stochastic modeling of animal epidemics using data collected over three different spatial scales.Crossref | GoogleScholarGoogle Scholar | 21552370PubMed |
Sandberg FB, Emmans GC, Kyriazakis I (2006) A model for predicting feed intake of growing animals during exposure to pathogens. Journal of Animal Science 84, 1552–1566.
Smouse PE, Focardi S, Moorcroft PR, Kei JG, Forester JD, Morales J (2010) Stochastic modelling of animal movement. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences 365, 2201–2211.
| Stochastic modelling of animal movement.Crossref | GoogleScholarGoogle Scholar | 20566497PubMed |
Spiller RC, Trotman IF, Higgins BE, Ghatei MA, Grimble GK, Lee YC, Bloom SR, Misiewicz JJ, Silk DB (1984) The ileal brake-inhibition of jejunal motility after ilela fat perfusion in man. Gut 25, 365–374.
Stevenson MA, Sanson RL, Stern MW, O’Leary BD, Sujau M, Moles-Benfell N, Morris RS (2013) InterSpread Plus: a spatial and stochastic simulation model of disease in animal populations. Preventive Veterinary Medicine 109, 10–24.
| InterSpread Plus: a spatial and stochastic simulation model of disease in animal populations.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC38bos1ygsg%3D%3D&md5=cb7a4c041703c4c0a00815e862475edaCAS | 22995473PubMed |
Thornley JHM (2008) Interesting simple dynamic growth models. In ‘Mathematical modelling in animal nutrition’. (Eds J France, E Kebreab) pp. 89–120. (CAB International: Wallingford, UK)
Thornley JHM, France J (2008) Modelling bovine spongiform encephalopathy. Journal of Agricultural Science 146, 183–194.
| Modelling bovine spongiform encephalopathy.Crossref | GoogleScholarGoogle Scholar |
Thornley JHM, France J (2009) Modelling foot and mouth disease. Preventive Veterinary Medicine 89, 139–154.
| Modelling foot and mouth disease.Crossref | GoogleScholarGoogle Scholar |
Tinus T, Damour M, van Riel V, Sopade PA (2012) Particle size-starch-protein digestibility relationships in cowpea (Vigna unguiculata). Journal of Food Engineering 113, 254–264.
| Particle size-starch-protein digestibility relationships in cowpea (Vigna unguiculata).Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC38Xpt1SgsLc%3D&md5=9abda9cf8217181674e297e9e7af5770CAS |
Tolkamp BJ, Ketelaars JJMH (1992) Towards a new theory of feed intake regulation in ruminants. 2. Costs and benefit of feed consumption: and optimization approach. Livestock Production Science 30, 297–317.
| Towards a new theory of feed intake regulation in ruminants. 2. Costs and benefit of feed consumption: and optimization approach.Crossref | GoogleScholarGoogle Scholar |
van Milgen J, Valancogne A, Dubois S, Dourmond J-Y, Steve B, Noblet J (2008) InraPorc: a model and decision support tool for nutrition of growing pigs. Animal Feed Science and Technology 143, 387–405.
| InraPorc: a model and decision support tool for nutrition of growing pigs.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXms1WjsLk%3D&md5=453649f2e8020269351ad476c6b5b9f4CAS |
van Milgen J, Noblet J, Dourmad JY, Labussière G, Garcia-Launay F, Brossard L (2012) Precision pork production; predicting the impact of nutritional strategies on carcass quality. Meat Science 92, 182–187.
| Precision pork production; predicting the impact of nutritional strategies on carcass quality.Crossref | GoogleScholarGoogle Scholar | 1:STN:280:DC%2BC38rnsVensQ%3D%3D&md5=e3f30e03c78eed95a8df00a4c290937cCAS | 22525881PubMed |
Wathes CM, Kristensen HH, Aerts JM, Berckmans D (2008) Is precision farming an engineer’s daydream or a nightmare, an animal’s friend or foe, and a farmer’s panacea or pitfall? Computers and Electronics in Agriculture 64, 2–10.
| Is precision farming an engineer’s daydream or a nightmare, an animal’s friend or foe, and a farmer’s panacea or pitfall?Crossref | GoogleScholarGoogle Scholar |
Whittemore CT (1983) Development of recommended energy and protein allowances for growing pigs. Agricultural Systems 11, 159–186.
| Development of recommended energy and protein allowances for growing pigs.Crossref | GoogleScholarGoogle Scholar |
Whittemore CT, Fawcett RH (1974) Model responses of the growing pig to the dietary intake of energy and protein. Animal Production 19, 221–231.
| Model responses of the growing pig to the dietary intake of energy and protein.Crossref | GoogleScholarGoogle Scholar |
Williams KT, Schalinske KL (2007) New insights into the regulation of methyl groups and homocysteine metabolism. The Journal of Nutrition 137, 311–314.
Wood TB, Yule GU (1914) Statistics of British feeding trials and the starch equivalent theory. Journal of Agricultural Science 6, 233–251.
| Statistics of British feeding trials and the starch equivalent theory.Crossref | GoogleScholarGoogle Scholar |