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Handbook of Size Exclusion Chromatography and Related ...

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number <strong>of</strong> branching points); crosslinks; oxidation status; compatibility<br />

structures; packing density.<br />

. Dimension [md; Eq. (1)]: molecular weight/degree <strong>of</strong> polymerization/<br />

excluded volume; transition states between geometric molecular<br />

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

. Interactive properties [ip; Eq. (1)]: water content; aggregation/<br />

association; supermolecular dimensions (gel-formation); visco-elastic<br />

qualities; stress management.<br />

Ve ¼ ip md mc<br />

where Ve ¼ excluded volume, ip ¼ interactive potential, md ¼ molecular<br />

dimension, <strong>and</strong> mc ¼ molecular conformation. However, although variations <strong>of</strong><br />

md, mc, <strong>and</strong> ip already provide countless options, diversity is increased even more<br />

by distributions <strong>of</strong> these features. In particular, starch glucans are a superimposed<br />

heterogeneous mix <strong>of</strong> regular <strong>and</strong> irregular modules:<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 stabilized structures, predominantly by<br />

scb-glucans (crystallinity),<br />

. Less compact “amorphous” domains with pronounced re-organization<br />

capability, predominantly by lcb-glucans,<br />

which may easily be customized either with respect to mass [Eq. (2)] or molar [Eq.<br />

(3)] fractions <strong>of</strong> components for the major native purpose: to support optimum<br />

energy management.<br />

m VeD ¼ ipD m mdD mcD<br />

where m V eD ¼ mass fractions <strong>of</strong> excluded volumes distribution, ipD ¼<br />

distribution <strong>of</strong> interactive potentials, m mdD ¼ mass fraction <strong>of</strong> molecular<br />

dimensions distribution, <strong>and</strong> mcD ¼ distribution <strong>of</strong> molecular conformation.<br />

n VeD ¼ ipD n mdD mcD<br />

where n V eD ¼ molar fractions <strong>of</strong> excluded volumes distribution, ipD ¼<br />

distribution <strong>of</strong> interactive potentials, n mdD ¼ molar fraction <strong>of</strong> molecular<br />

dimensions distribution, <strong>and</strong> mcD ¼ distribution <strong>of</strong> molecular conformation.<br />

In fact, the separation criterion in SEC is excluded volume (Ve: excluded<br />

volume). Thus, application <strong>of</strong> SEC on starch glucans should provide basic<br />

information about excluded volume heterogeneity (VeD: excluded volume<br />

distribution). Combining SEC with several appropriate on-line detection<br />

© 2004 by Marcel Dekker, Inc.<br />

(1)<br />

(2)<br />

(3)

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