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The lactation curve in cattle: a mathematical model of the mammary gland

Published online by Cambridge University Press:  27 March 2009

Heather D. St. C. Neal  and
J. H. M. Thornley
Heather D. St. C. Neal
Affiliation:
The Grassland Research Institute, Hurley, Maidenhead, Berkshire, SL6 5LR
J. H. M. Thornley
Affiliation:
The Grassland Research Institute, Hurley, Maidenhead, Berkshire, SL6 5LR
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Summary

A simple model of the mammary gland is described. In this model secretory cells are produced by cell division from undifferentiated cells, and the rate of division is determined by the level of a postulated hormone. The total activity of the milk secreting cells depends on the number of cells, substrate supply (assumed constant), and the amount of milk currently present in the animal. The secretory cells have a finite life, although their death may be expedited by milk remaining in the animal over a longer period of time. The model gives a good description of an experimental lactation curve; it is able to simulate the removal of milk by a suckling calf and machine milking with a variable number of milking periods a day.

Type
Research Article
Information
The Journal of Agricultural Science , Volume 101 , Issue 2 , October 1983 , pp. 389 - 400
Copyright
Copyright © Cambridge University Press 1983

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References

Austin, C. R. & Short, R. V. (ed.) (1972). Hormones in Reproduction. Book 3 of Reproduction in Mammals.Cambridge University Press.Google Scholar
Baker, R. D., Barker, J. M. & Le, Du Y. L. P. (1982). The influence of winter nutrition, grazing system and stocking rate on the performance of spring-calving Hereford × Friesian cows and their calves. 2. Grazing system and stocking rate. Animal Production 34, 225–237.Google Scholar
Cobby, J. M. & Le, Du Y. L. P. (1978). On fitting curves to lactation data. Animal Production 26, 127–133.Google Scholar
Cowie, A. T. & Tindal, J. S. (1971). The Physiology of Lactation. London: Edward Arnold.Google Scholar
Dhanoa, M. S. (1981). A note on an alternative form of the lactation model of Wood. Animal Production 32, 349–351.Google Scholar
Gaines, W. L. (1927). Persistency of lactation in dairy cows. Illinois Agricultural Experimental Station Bulletin, no. 288.Google Scholar
Johnson, C. L. (1983). Influence of feeding pattern on the biological efficiency of high yielding dairy cows. Journal of Agricultural Science, Cambridge 100, 191–199.CrossRefGoogle Scholar
Knight, C. H. (1981). The mammary cell population in relation to milk yield. In Hannah Research Institute Report 1981. Ayr.Google Scholar
Lainson, R. A. & Thornley, J. H. M. (1982). A model of leaf expansion in cucumber. Annals of Botany 50, 407–425.CrossRefGoogle Scholar
Mepham, B. (1976). The Secretion of Milk. London: Edward Arnold.Google Scholar
Mumford, R. E. (1964). A review of anatomical and biochemical changes in the mammary gland with particular reference to quantitative methods of assessing mammary development. Dairy Science 26, 293–304 (Abstract).Google Scholar
Nelder, J. A. (1966). Inverse polynomials, a useful group of multi-factor response functions. Biometrics 22, 128–141.CrossRefGoogle Scholar
Poole, D. A. (1981). Three times a day milking. Animal Production 32, 363 (Abstract).Google Scholar
Rowlands, G. J., Lucey, S. & Russell, A. M. (1982). A comparison of different models of the lactation curve in dairy cattle. Animal Production 35, 135–144.Google Scholar
Roy, J. H. B. (1980). The Calf, 4th ed.Sevenoaks: Butterworths.Google Scholar
Wood, P. D. P. (1967). Algebraic models of the lactation curve in cattle. Nature 216, 164–165.CrossRefGoogle Scholar
Wood, P. D. P. (1977). The biometry of lactation. Journal of Agricultural Science, Cambridge 88, 333–339.CrossRefGoogle Scholar