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Chemical and Functional Properties of Food Saccharides

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© 2004 by CRC Press LLC<br />

branching points), cross-links, oxidation status, compatibility structures,<br />

<strong>and</strong> packing density.<br />

Dimension (md; Equation 22.1a): Molecular weight, degree <strong>of</strong> polymerization,<br />

excluded volume, <strong>and</strong> transition states between geometric molecular<br />

dimensions <strong>and</strong> lengths <strong>of</strong> coherent supermolecular structures.<br />

Interactive properties (ip; Equation 22.1a): Water content, aggregation/association,<br />

supermolecular dimensions (gel-formation), viscoelasticity,<br />

<strong>and</strong> stress management:<br />

V = ip ⋅ md<br />

e<br />

(22.1a)<br />

where V e is the excluded volume, ip the interactive potential, md the molecular<br />

dimension, <strong>and</strong> mc the molecular conformation.<br />

Although variations <strong>of</strong> md, mc, <strong>and</strong> ip already provide countless structural<br />

options, diversity is even more increased by distributions <strong>of</strong> these features. In particular,<br />

starch glucans are a superimposed heterogeneous mix <strong>of</strong> regular <strong>and</strong> irregular<br />

modules <strong>of</strong>:<br />

highly symmetrical helices (multiple helices), primarily by lcb-glucans<br />

irregular “fractal structures ,” primarily by scb-glucans<br />

compact <strong>and</strong> internally H-bond stab ilized structures, dominantly by scbglucans<br />

(crystallinity)<br />

less compact “amorphous” domains with pronounced reorganization capability,<br />

dominantly by lcb-glucans<br />

which easily may be customized either with respect to mass (Equation 22.1b) or<br />

molar (Equation 22.1c) fractions for the major native purpose <strong>of</strong> guaranteeing optimum<br />

energy management:<br />

(22.1b)<br />

where m_V eD is mass fraction <strong>of</strong> excluded volumes distribution; ipD the distribution<br />

<strong>of</strong> interactive potentials, m_mdD the mass fraction <strong>of</strong> molecular dimensions distribution,<br />

<strong>and</strong> mcD the distribution <strong>of</strong> molecular conformation.<br />

(22.1c)<br />

where n_V eD is molar fraction <strong>of</strong> excluded volumes distribution, ipD the distribution<br />

<strong>of</strong> interactive potentials, n_mdD the molar fraction <strong>of</strong> molecular dimensions distribution,<br />

<strong>and</strong> mcD the distribution <strong>of</strong> molecular conformation.<br />

mc<br />

m_V D = ipD ⋅ m_mdD<br />

e<br />

n_V D = ipD ⋅ n_mdD<br />

e<br />

mcD<br />

mcD

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