Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-26T23:54:17.079Z Has data issue: false hasContentIssue false
  • English
  • Français

Derivation of the probability density function for ultimate muscle pH in slaughtered animals

Published online by Cambridge University Press:  17 February 2009

A. B. Pleasants ,
G. C. Wake  and
C. C. Daly
A. B. Pleasants
Affiliation:
AgResearch, Private Bag 3123, Hamilton, New Zealand; e-mail: tony.pleasants@agresearch.co.nz, clyde.daly@agresearch.co.nz.
G. C. Wake
Affiliation:
Department of Mathematics and Statistics, The University of Canterbury, Private Bag 4800, Christchurch, New Zealand; e-mail: graeme.wake@canterbury.ac.nz.
C. C. Daly
Affiliation:
AgResearch, Private Bag 3123, Hamilton, New Zealand; e-mail: tony.pleasants@agresearch.co.nz, clyde.daly@agresearch.co.nz.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We consider the form of the probability density function for the ultimate muscle pH in slaughtered animals. Muscle pH in slaughtered animals is dependent on a biochemical process which forms lactic acid from the breakdown of glycogen stored in the muscle at slaughter. The relationship between glycogen and muscle pH after slaughter is expressed as a pair of coupled differential equations. The solution of this system for the equilibrium muscle pH as time → ∞ gives the form of the probability density for the ultimate muscle pH. When the initial density for the muscle glycogen is normal, the density for the ultimate muscle pH is shown to be approximately a mixed normal density.

Type
Research Article
Information
The ANZIAM Journal , Volume 45 , Issue 1 , July 2003 , pp. 27 - 34
Copyright
Copyright © Australian Mathematical Society 2003

References

[1]Agha, M. and Ibrahim, M. T., “Maximum likelihood estimation of mixtures of distributions. Algorithm AS 203”, Appl. Stat. 32 (1984) 327–332.Google Scholar
[2]Bendall, J. R., “Post mortem changes in muscle”, in The structure and function of muscle (ed. Bourne, G. H.), Volume 11, (Academic Press, New York, 1973) 244–306.Google Scholar
[3]Hosmer, D. W., “A comparison of iterative maximum likelihood estimates of the parameters of a mixture of two normal distributions under three different types of sample”, Biometrics 29 (1973) 761–770.CrossRefGoogle Scholar
[4]Lehninger, A. L., Principles of biochemistry (Worth Publ., New York, 1982).Google Scholar
[5]Purchas, R. W. and Keohane, B. E., “Sources of variation in the ultimate muscle pH of M. Longissimus from prime steers”, Proc. New Zealand Soc. Animal Production 57 (1997) 271–277.Google Scholar
[6]Tarrant, P. V. and Hood, D. E., The problems of dark-cutting in beef (Marinus Nijhoff, Den Haag, 1981).Google Scholar