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the handbook of food engineering practice crc press chapter 10 ...

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<strong>10</strong>.2 KINETICS OF FOOD DETERIORATION<br />

<strong>10</strong>.2.1. Reaction modeling principles<br />

Applying fundamental chemical kinetic principles <strong>the</strong> rate <strong>of</strong> <strong>food</strong> quality change may in<br />

general be ex<strong>press</strong>ed as a function <strong>of</strong> composition and environmental factors (Saguy and<br />

Karel, 1980):<br />

dQ<br />

dt = F (C i, E j ) (1)<br />

where C i , are composition factors, such as concentration <strong>of</strong> reactive compounds, inorganic<br />

catalysts, enzymes, reaction inhibitors, pH, water activity, as well as microbial populations<br />

and E j environmental factors, such as temperature, relative humidity, total <strong>press</strong>ure and<br />

partial <strong>press</strong>ure <strong>of</strong> different gases, light and mechanical stresses. What <strong>the</strong> <strong>food</strong> kineticist<br />

is thus faced with, is a physicochemical system <strong>of</strong> high complexity involving numerous<br />

physical and chemical variables and coefficients which in most cases are imposible or<br />

impractical to quantitatively define. Even if <strong>the</strong> system could be explicitly ex<strong>press</strong>ed in<br />

terms <strong>of</strong> measurable parameters, an analytical solution is usually nonexistent and exact<br />

numerical solutions are too complicated and laborious to be useful as working tools.<br />

The established methodology consists <strong>of</strong> first identifying <strong>the</strong> chemical and<br />

biological reactions that influence <strong>the</strong> quality and <strong>the</strong> safety <strong>of</strong> <strong>the</strong> <strong>food</strong>. Then, through a<br />

careful study <strong>of</strong> <strong>the</strong> <strong>food</strong> components and <strong>the</strong> process, <strong>the</strong> reactions judged to have <strong>the</strong><br />

most critical impact on <strong>the</strong> deterioration rate, are deternined (Labuza, 1985). Excluding <strong>the</strong><br />

effect <strong>of</strong> <strong>the</strong> environmental factors, E j , by assuming <strong>the</strong>m constant, at <strong>the</strong> most propable<br />

level or judging it negligible within <strong>the</strong>ir expected variation, a simplified reaction scheme<br />

that ex<strong>press</strong>es <strong>the</strong> effect <strong>of</strong> <strong>the</strong> concentration <strong>of</strong> <strong>the</strong> reactants, is developed. The ultimate<br />

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