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Handbook of Size Exclusion Chromatography and Related ...

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homogeneous copolymer, that is, taking some kind <strong>of</strong> average dn/dc value<br />

measured experimentally from a set <strong>of</strong> unfractionated sample aliquots. The<br />

“accuracy” <strong>of</strong> such an assumption may then be checked by integrating the<br />

concentration detector response <strong>and</strong> comparing this recovered mass with<br />

the known injected mass. The greater the departure from homogeneity, the<br />

greater should be the discrepancy <strong>of</strong> these two results. Unfortunately, the total<br />

mass recovered may not be complete because <strong>of</strong> column retention <strong>of</strong> some<br />

components: a further complication. Although some form <strong>of</strong> molar mass<br />

distribution may be generated on this basis, its accurately reflecting the true nature<br />

<strong>of</strong> the real molecular structure must remain uncertain.<br />

There are certain classes <strong>of</strong> copolymers for which mass, size, <strong>and</strong><br />

compositional distributions (stoichiometry) may be obtained following separation<br />

by using MALS in combination with both UV <strong>and</strong> DRI detectors. These<br />

copolymers have a homopolymeric component that produces no UV signal, that is,<br />

it has no absorption at the UV wavelength commonly used. Among them are socalled<br />

conjugated proteins comprised <strong>of</strong> a protein to which has been attached<br />

(either by natural or synthetic means) a polymer (conjugate) that has no<br />

chromophoric components. Most common among these are polysaccharides<br />

(producing “glycosylated proteins”) <strong>and</strong> poly(ethylene) glycol (producing<br />

“pegylated proteins”). The stoichiometry <strong>of</strong> protein–protein complexes where<br />

each protein constituent may be conjugated has been studied by many groups. Wen<br />

et al. (21) <strong>and</strong> Kendrick et al. (22) illustrate the techniques most frequently applied<br />

using UV, DRI, <strong>and</strong> MALS detectors, although there are some questions remaining<br />

as to how the weighted dn/dc values are calculated. The Wen et al. paper provides<br />

an interesting discussion <strong>of</strong> an iterative approach whereby the relative proportions<br />

<strong>of</strong> the (possible) two conjugated proteins are derived iteratively. The special case<br />

whereby the UV detector may be used adds some simplification to the Benoit <strong>and</strong><br />

Froelich (20) method that introduced the concept <strong>of</strong> an apparent molar mass that<br />

varied with the solvent used. The UV detector adds additional information <strong>of</strong> help<br />

in establishing the stoichiometry <strong>of</strong> the molar mass distribution expected to be<br />

present even within an SEC-separated elution slice.<br />

A particularly simple example associated with such conjugated structures<br />

occurs when the “core” is a single protein monomer. Separation <strong>of</strong> the conjugate by<br />

SEC should be by hydrodynamic size <strong>and</strong> this in turn depends only on the amount<br />

<strong>of</strong> conjugate attached. Each component has its distinct value <strong>of</strong> dn/dc <strong>and</strong> the<br />

MALS measurements are combined with both UV <strong>and</strong> DRI measurements <strong>of</strong> the<br />

eluting sample. The UV signal at each elution volume yields the concentration <strong>of</strong><br />

the polypeptide (protein) in that elution. If 1p is the protein extinction coefficient<br />

whose corresponding differential refractive index increment (for the solvent used)<br />

is (dn=dc) p, the protein concentration cpi at elution slice i is simply UV =1p where<br />

UV is the calibrated UV detector response. If (dn=dc) B is the differential refractive<br />

index increment <strong>of</strong> the conjugate, the weighted differential refractive index<br />

© 2004 by Marcel Dekker, Inc.

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