Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-27T02:27:46.367Z Has data issue: false hasContentIssue false
  • English
  • Français

Derivation of a mathematical model for the mechanism of casein micelle coagulation by rennet

Published online by Cambridge University Press:  01 June 2009

Donald F. Darling  and
Antoon C. M. Van Hooydonk
Donald F. Darling
Affiliation:
Unilever Research Laboratory, Colworth House, Sharnbrook, Beds
Antoon C. M. Van Hooydonk
Affiliation:
Netherlands Institute for Dairy Research (N.I.Z.O.), Ede, The Netherlands
Get access Rights & Permissions [Opens in a new window]

Summary

The action of rennet on the stability of casein micelles has been described theoretically by combining Michaelis–Menten enzyme kinetics with von Smoluchow-ski's theory for slow coagulation. The casein micelle is considered to be stabilized by stcric interactions arising from a highly hydrated surface protein layer. The stability factor, in von Smoluchowski's theory, is then considered as a variable and determined by the concentration of unhydrolysed κ-casein.

The theoretical approach describes semi-quantitatively experimental observations on clotting time (CT) as a function of temperature, rennet concentration, and total protein concentration. The model also predicts that, under certain circumstances, the CT is inversely proportional to the enzyme concentration. Furthermore, the model agrees with other workers' experimental observations on the effect of κ-cascin concentration, the presence of a lag phase, and that the lag phase is commonly about 60% of the CT.

Type
Original Articles
Information
Journal of Dairy Research , Volume 48 , Issue 2 , June 1981 , pp. 189 - 200
Copyright
Copyright © Proprietors of Journal of Dairy Research 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Castle, A. V. & Wheelock, J. V. (1972). Journal of Dairy Research 39. 15–22.CrossRefGoogle Scholar
Claesson, O. & Nitschmann, H. (1957), Acta Agriculturae Scandinarica 7, 341–360.Google Scholar
Creamer, L. K., Berry, G. P. & Mills, O. E. (1977). New Zealand Journal of Dairy Science and Technology 12, 58–66.Google Scholar
Darling, D. F. & Dickson, J. (1979). Journal of Dairy Research 46. 441–451.CrossRefGoogle Scholar
Foltmann, B. (1959). 15th International Dairy Congress. London 2, 655–661.Google Scholar
Garnier, J. (1963). Biochimica et Biophysica Acta 66, 366–377.CrossRefGoogle Scholar
Green, M. L., Hobbs, D. G., Morant, S. V. & Hill, V. A. (1978). Journal of Dairy Research 45, 413–422.Google Scholar
Guthy, Kl. & Novak, G. (1977). Journal of Dairy Research 44. 303–366.CrossRefGoogle Scholar
Hesselink, F. Th., Vrij, A. & Overbeek, J. Th. G. (1971). Journal of Physical Chemistry 75, 2094–2103.CrossRefGoogle Scholar
Hossain, M. A. (1976). Kieler Milchuirctschaftliche Forschungsberichte 28. 43–58.Google Scholar
Jenness, R. (1970). In Milk proteins. I. Chemistry and molecular biology pp. 17–43 (Ed. McKenzie, H. A..) New York: Academic Press.Google Scholar
Lindqvist, B. (1963). Dairy Science Abstracts 25, 299–308.Google Scholar
Nitschmann, H. & Bohren, H. U. (1955). Helvetica Chimica Acta 38. 1953–1963.CrossRefGoogle Scholar
Overbeek, J. Th. G. (1952). In Colloid science. I. p. 278 (Ed. Kruyt, H. K..) Amsterdam: Elsevier Publishing Co. Inc.Google Scholar
Payens, T. A. J. (1976). Netherlands Milk and Dairy Journal 30. 55–59.Google Scholar
Payens, T. A. J. (1978a). Faraday Discussions of the Chemical Society no. 65, pp. 164–174.CrossRefGoogle Scholar
Payens, T. A. J. (1978b). Netherlands Milk and Dairy Journal 32. 170–183.Google Scholar
Reerink, H. & Overbeek, J. Th. G. (1954). Discussions of the Faraday Society no. 18. pp. 74–84.Google Scholar
Schmidt, D. G. & Koops, J. (1977). Netherlands Milk and Dairy Journal 31. 342 351.Google Scholar
Schmidt, D. G., Koops, J. & Westerbeek, D. (1977). Netherlands Milk and Dairy Journal 31, 328–341.Google Scholar
Schmidt, D. G., Walstra, P. & Buchhelm, M. W. (1973). Netherlands Milk and Dairy Journal 27, 128–142.Google Scholar
Trszyński, W. B. (1971). Journal of Dairy Research 38. 115–125.CrossRefGoogle Scholar
Vincent, B. (1974). Adcances in Colloid and Interface Science 4. 193.CrossRefGoogle Scholar
Walstra, P. (1979). Journal of Dairy Research 46. 317–323.CrossRefGoogle Scholar