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Food Lipids: Chemistry, Nutrition, and Biotechnology

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is a thin layer located directly next to the surface of the support. In the case of<br />

hydrophobic supports <strong>and</strong> hydrophobic substrates, such as triacylglycerols, the concentration<br />

of substrates in the Nernst layer is more concentrated than in the bulk<br />

solution since the hydrophobic substrate tends to partition toward the hydrophobic<br />

support material. Another layer surrounding the support particles is a diffusion or<br />

boundary layer. A concentration gradient is established between the diffusion layer<br />

<strong>and</strong> the bulk phase as substrate is converted to product by the lipase. The product<br />

concentration in the diffusion layer is higher than in the bulk phase as it must diffuse<br />

from the surface of the support into the bulk phase. Consequently, due to the higher<br />

product concentration in the diffusion layer, the substrate concentration is lower than<br />

in the bulk phase, producing concentration gradient with more substrate diffusing<br />

toward the support <strong>and</strong> immobilized lipase. Differences in substrate concentration<br />

between the Nernst layer <strong>and</strong>/or the boundary layer <strong>and</strong> the bulk phase can affect<br />

the determination of K m since substrate concentration will be measured in the bulk<br />

layer, which may not be the concentration of substrate closer to the lipase. With a<br />

lower substrate concentration at the support in comparison with the bulk phase, the<br />

apparent K m will appear higher <strong>and</strong> the activity will appear lower than its actual<br />

values. The opposite will occur with a higher substrate concentration at the interface.<br />

A third factor that can affect the activity of immobilized lipase is electrostatic<br />

effects. If the support <strong>and</strong> substrate possess the same charge then they will experience<br />

repulsion, whereas if they have opposite charge they will be attracted. This factor<br />

can have an effect on the apparent K m. As well, electrostatic effects can have an<br />

impact on other components in the reaction. For example, if the support was anionic,<br />

the local concentration of hydrogen ions would be higher in the vicinity of the<br />

immobilized lipase, which would cause a decrease in the pH around the enzyme.<br />

Combining the electrostatic effects <strong>and</strong> the effect of the Nernst layer, the value<br />

of the apparent K m can be modified as follows (88):<br />

� �<br />

x RT<br />

K� m = K m � Vmax<br />

D RT � xzFV<br />

where K� m is the apparent Km of the lipase, x is the thickness of Nernst layer, R is<br />

the universal gas constant, T is the absolute temperature, z is the valence of the<br />

substrate, F is Faraday’s constant, V is the magnitude of the electric field around the<br />

enzyme support, <strong>and</strong> D is the diffusion coefficient of the substrate.<br />

If the thickness of the Nernst layer decreases, then the ratio x/D would decrease<br />

<strong>and</strong> K�m would decrease, approaching Km. B. Stability of Immobilized Enzymes<br />

The stability of immobilized enzymes depends on the method of immobilization <strong>and</strong><br />

the susceptibility of the enzyme to inactivation. Inactivation can be caused by contaminants<br />

<strong>and</strong> changes in temperature, pH, <strong>and</strong> ionic strength. High shear, microbial<br />

contamination, fouling, <strong>and</strong> breakage of support particles have also been found to<br />

inactivate immobilized enzymes. Depending on the strength of the immobilization<br />

method, the enzyme can also be desorbed from the support. The stability of immobilized<br />

enzymes is evaluated by determining the half-life of the enzyme under the<br />

reaction conditions. In diffusion-limited systems, there is a linear decay in enzyme<br />

activity in time, as enzymes on the surface of the support are inactivated <strong>and</strong> the<br />

Copyright 2002 by Marcel Dekker, Inc. All Rights Reserved.

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