A model to describe growth patterns of the mammary gland during pregnancy and lactation.

Extensive proliferation and death of cells in the mammary gland occur during pregnancy and lactation. In this study, a mechanistic model was developed that yielded a single equation to describe the pattern of mammary growth of mammals throughout pregnancy and lactation. The model contains a single pool, which is the cell population of the mammary gland; one influx, representing cell proliferation; and one efflux, representing cell death. The parameters of the equation lend themselves to direct physiological interpretation. The model fitted data on mammary gland DNA adequately and can be related to current knowledge on factors and inhibitors of mammary gland growth. A unique definition of the parameters of the model can be difficult because of the high degree of variation among animals, an improper number of observations, or timing, as indicated by analyses of simulated data. The model can also be applied to the study of the entire lactation curve. The widely applied gamma equation and the equation that was developed in this study were compared using weekly production data from dairy cows. The new model performed well, particularly when a sharp peak in milk production occurred. The model has the advantage of providing, for the first time, a simple biological description of the lactation curve that can be used to discriminate changes in lactational performance that are associated with experimental treatments.

[1]  K. N. Sinha,et al.  Growth of the mammary glands of the golden hamster. Mesocricetus auratus. , 1970, Biology of reproduction.

[2]  E. W. Swanson,et al.  Mammary gland development of dairy heifers during their first gestation. , 1979, Journal of dairy science.

[3]  G. Schmidt,et al.  Deoxyribonucleic acid content and proliferative activity of rabbit mammary gland epithelial cells. , 1968, Experimental cell research.

[4]  H. Tucker,et al.  Nucleic Acid Content of Mammary Glands of Lactating Rats.∗ † , 1963, Proceedings of the Society for Experimental Biology and Medicine. Society for Experimental Biology and Medicine.

[5]  H. Tucker Regulation of mammary nucleic acid content by various suckling intensities. , 1966, The American journal of physiology.

[6]  J. Hermansen,et al.  Plasma-derived protease inhibitors in bovine milk , 1995 .

[7]  E. Depeters,et al.  Three or two times daily milking of older cows and first lactation cows for entire lactations. , 1985, Journal of dairy science.

[8]  A. Gnanasakthy,et al.  A new approach to the mathematical formulation of lactation curves , 1989 .

[9]  H. Tucker,et al.  Quantitative estimates of mammary growth during various physiological states: a review. , 1987, Journal of dairy science.

[10]  R. R. Anderson,et al.  Changes in parenchyma and stroma of goat udders during pregnancy, lactation and involution , 1990 .

[11]  C. W. Turner,et al.  Normal Growth of Mammary Gland in Pregnant and Lactating Mice.∗ , 1959, Proceedings of the Society for Experimental Biology and Medicine. Society for Experimental Biology and Medicine.

[12]  T. W. Keenan,et al.  Mitosis in milk secreting epithelial cells of mammary gland: an ultrastructural study. , 1979, Differentiation; research in biological diversity.

[13]  M. Hanigan,et al.  Kinetics of amino acid extraction by lactating mammary glands in control and sometribove-treated Holstein cows. , 1992, Journal of dairy science.

[14]  H. Traurig Cell proliferation in the mammary gland during late pregnancy and lactation , 1967 .

[15]  C. Knight,et al.  Milk yield in rats in relation to activity and size of the mammary secretory cell population , 1984, Journal of Dairy Research.

[16]  Ralph R. Anderson,et al.  Mammary growth pattern in goats during pregnancy and lactation. , 1981, Journal of dairy science.

[17]  H. Tucker,et al.  Nucleic Acid Content of Mammary Glands of Pregnant Rats.∗ † , 1963, Proceedings of the Society for Experimental Biology and Medicine. Society for Experimental Biology and Medicine.

[18]  R. R. Anderson,et al.  Mammary growth patterns in guinea pigs during puberty, pregnancy and lactation. , 1982, Biology of reproduction.

[19]  W. Hurley,et al.  Involution of the bovine mammary gland: histological and ultrastructural changes. , 1987, Journal of dairy science.

[20]  K. Plaut Role of epidermal growth factor and transforming growth factors in mammary development and lactation. , 1993, Journal of dairy science.

[21]  R. R. Anderson,et al.  Milk production, wet weight, dry weight, potassium, and nucleic acid measurements of cows' udders. , 1974, Journal of dairy science.

[22]  S. Nandi,et al.  Regulation of mammary epithelial cell growth in mice and rats. , 1990, Endocrine reviews.

[23]  I. Politis,et al.  Mammary-derived growth inhibitor in lactation and involution. , 1992, Domestic animal endocrinology.

[24]  W. J. Koops,et al.  Multiphasic analysis of lactation curves in dairy cattle. , 1988 .

[25]  M. Foster,et al.  In-vivo studies of mammary development in the goat using magnetic resonance imaging (MRI). , 1990, Journal of reproduction and fertility.

[26]  C. Knight,et al.  Mammary cell proliferation in mice during pregnancy and lactation in relation to milk yield. , 1982, Quarterly journal of experimental physiology.

[27]  I. Forsyth,et al.  Bromocriptine treatment of periparturient goats: long-term suppression of prolactin and lack of effect on lactation , 1993, Journal of Dairy Research.

[28]  C. Wilde,et al.  The effect of goat milk fractions on synthesis of milk constituents by rabbit mammary explants and on milk yield in vivo. Evidence for autocrine control of milk secretion. , 1987, The Biochemical journal.

[29]  C. Knight,et al.  Mammary development and regression during lactation in goats in relation to milk secretion. , 1984, Quarterly journal of experimental physiology.

[30]  T. Mcfadden,et al.  Effects of plane of nutrition, growth hormone and unsaturated fat on mammary growth in prepubertal lambs. , 1990, Journal of animal science.

[31]  A. N. Corps,et al.  Increase in milk secretion and mammary blood flow by intra-arterial infusion of insulin-like growth factor-I into the mammary gland of the goat. , 1990, The Journal of endocrinology.

[32]  A. Capuco,et al.  Morphometric analysis of involuting bovine mammary tissue after 21 or 42 days on non-suckling. , 1990, Journal of animal science.

[33]  L. Ossowski,et al.  Mammary plasminogen activator: correlation with involution, hormonal modulation and comparison between normal and neoplastic tissue , 1979, Cell.

[34]  D. Bauman,et al.  Prolactin regulation of milk secretion and biochemical differentiation of mammary epithelial cells in periparturient cows. , 1981, Endocrinology.

[35]  M. Dhanoa,et al.  On the mathematical description of lactation curves , 1993, The Journal of Agricultural Science.

[36]  C. Wilde,et al.  Mammary cell changes during pregnancy and lactation , 1993 .

[37]  C. Glasbey,et al.  Non-parametric lactation curves , 1989 .

[38]  I. Papajcsik,et al.  Modelling lactation curves of Friesian cows in a subtropical climate , 1988 .

[39]  I. Politis,et al.  Plasmin and plasminogen in bovine milk: a relationship with involution? , 1989, Journal of dairy science.

[40]  J. H. M. Thornley,et al.  The lactation curve in cattle: a mathematical model of the mammary gland , 1983, The Journal of Agricultural Science.

[41]  W. L. Nelson,et al.  Guinea Pig Mammary Gland Growth Changes in Weight, Nitrogen and Nucleic Acids.∗ , 1962, Proceedings of the Society for Experimental Biology and Medicine. Society for Experimental Biology and Medicine.

[42]  C. Wilde,et al.  Metabolic adaptations in goat mammary tissue during pregnancy and lactation. , 1986, Journal of reproduction and fertility.

[43]  P. D. P. WOOD,et al.  Algebraic Model of the Lactation Curve in Cattle , 1967, Nature.

[44]  P. D. Wood,et al.  The biometry of lactation , 1977, The Journal of Agricultural Science.

[45]  I. Politis,et al.  Identification of mammary-derived growth inhibitor in sheep mammary tissue , 1995 .

[46]  I. Peri,et al.  Partial purification and characterization of putative paracrine/autocrine bovine mammary epithelium growth factors , 1993 .

[47]  R. L. Baldwin,et al.  Enzymatic changes associated with the initiation and maintenance of lactation in the rat. , 1966, The Journal of biological chemistry.

[48]  G. Rowlands,et al.  A comparison of different models of the lactation curve in dairy cattle , 1982 .

[49]  R. Munford CHANGES IN THE MAMMARY GLANDS OF RATS AND MICE DURING PREGNANCY, LACTATION AND INVOLUTION. 3. RELATION OF STRUCTURAL AND BIOCHEMICAL CHANGES. , 1963, The Journal of endocrinology.

[50]  T. Mcfadden,et al.  Effects of plane of nutrition, growth hormone and unsaturated fat on growth hormone, insulin and prolactin receptors in prepubertal lambs. , 1990, Journal of animal science.