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

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properly handled and would indicate remaining shelf life. Use <strong>of</strong> TTI as "consumer<br />

indicators" is <strong>the</strong> ultimate goal <strong>of</strong> <strong>the</strong>se systems.<br />

A variety <strong>of</strong> TTI based on different physicochemical principles have been<br />

described by Byrne (1976) and Taoukis et al.(1991). Statistical correlations <strong>of</strong> TTI<br />

performance and product quality characteristics have been reported for a variety <strong>of</strong><br />

perishable and frozen <strong>food</strong>s (Tnker et al.,1985; Chen and Zall,1987; Wells and<br />

Singh,1988). A general approach that allows <strong>the</strong> correlation <strong>of</strong> <strong>the</strong> response <strong>of</strong> a TTI to <strong>the</strong><br />

quality changes <strong>of</strong> a <strong>food</strong> product <strong>of</strong> known deterioration modes, without actual<br />

simultaneous testing <strong>of</strong> <strong>the</strong> indicator and <strong>the</strong> <strong>food</strong>, was developed by Taoukis and Labuza<br />

(1989a). Three types <strong>of</strong> TTI commercially available were ma<strong>the</strong>matically modeled using<br />

Arrhenius kinetics. One type is based on a time-temperature depended diffusion <strong>of</strong> a dye<br />

along a wick , <strong>the</strong> second on a change <strong>of</strong> color due to a controlled enzymatic reaction and<br />

<strong>the</strong> third on development <strong>of</strong> color based on a solid state polymerization . A scheme was<br />

introduced that allows <strong>the</strong> correlation <strong>of</strong> <strong>the</strong> TTI response, X, to <strong>the</strong> quality index A <strong>of</strong> <strong>the</strong><br />

<strong>food</strong>. X can be ex<strong>press</strong>ed as a function <strong>of</strong> time:<br />

F(X) t = k t = k I exp(-E A / RT) t (52)<br />

where F(X) is <strong>the</strong> response function <strong>of</strong> <strong>the</strong> TTI, t is <strong>the</strong> time and k <strong>the</strong> response rate<br />

constant; <strong>the</strong> constant k I and <strong>the</strong> activation energy E A are <strong>the</strong> Arrhenius parameters.<br />

For a<br />

TTI going through <strong>the</strong> same temperature distribution, T(t) as <strong>the</strong> monitored <strong>food</strong>, <strong>the</strong> value<br />

<strong>of</strong> F(X)t is known from <strong>the</strong> response X ; Teff can <strong>the</strong>n be calculated from equation (14)<br />

for T=T eff . T eff and knowledge <strong>of</strong> <strong>the</strong> kinetic parameters <strong>of</strong> deterioration <strong>of</strong> <strong>the</strong> <strong>food</strong><br />

allows <strong>the</strong> evaluation <strong>of</strong> Q(A) and hence <strong>the</strong> quality loss <strong>of</strong> <strong>the</strong> product. The reliability <strong>of</strong><br />

<strong>the</strong> TTI under variable temperature conditions was also assessed(Taoukis and Labuza,<br />

1989b), using <strong>the</strong> relations <strong>of</strong> Table 5, and in general was judged satisfactory.<br />

52

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