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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.
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Abstract

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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.

Information

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

References

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