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S. J. Shire
Genentech, Inc.
South San Francisco, CA
Introduction
Analytical ultracentrifugation is a classical technique that has played
a critical role in laying the foundations for modern molecular biology. Among its
achievements is the demonstration that proteins are macromolecules rather than complexes
of smaller units, and direct support for the semi-conservative replication mechanism of
DNA as proposed by Watson and Crick. Unlike techniques such as SDS PAGE or gel permeation
chromatography, analytical ultracentrifugation can be used to determine absolute molecular
weights without the use of molecular weight standards or interference from the sieving
matrix used for separation.
With the advent of recombinant DNA technology and the explosion of
protein drugs being developed, there has been a renewed interest in analytical
ultracentrifugation. Many of the proteins being developed as pharmaceuticals exist as
glycosylated proteins. It is unclear how the composition or content of carbohydrate
affects behavior on typical gel permeation chromatography media. Often the standards used
to calibrate the chromatography are globular proteins and are inadequate to obtain an
accurate molecular weight of the glycosylated protein in solution. The apparent molecular
weights determined may be sufficiently in error to result in the conclusion that the
protein exists in an associated state in solution. The experiments presented here show two
examples using glycoproteins produced at Genentech, Inc.: the recombinant DNA-derived
envelope glycoprotein, rgp120 IIIB, of human immunodeficiency virus type 1, and sTNF-R1,
the extracellular domain of human tumor necrosis factor (TNF-alpha) type 1 receptor. Gel
permeation chromatography suggests that these molecules exist as dimers in solution.
Molecular weights, determined by analytical sedimentation equilibrium experiments, showed
these conclusions to be incorrect.
Materials and Methods
rgp120 IIIB
The recombinant DNA-derived envelope glycoprotein of human
immunodeficiency virus type 1 (rgp120 IIIB) was expressed as a fusion protein in Chinese
hamster ovary cells and purified by immunoaffinity chromatography.(1) The fusion protein has a molecular weight of
approximately 53 kDa and consists of a short segment of the herpes gD1 protein fused to
the gp120 protein at the amino terminus. However, SDS PAGE analysis reveals a broad band
centered at approximately 120 kDa because it is glycosylated at 24 Asn residues. The
broadness of the electrophoretic band is typical of glycosylated proteins and may reflect
the heterogeneity of the carbohydrate moieties. Gel permeation chromatography yields
apparent molecular weights that range from 200 to 280 kDa suggesting that the rgp120 IIIB
self associates.
Ultracentrifugation of rgp120 IIIB
The rgp120 IIIB isolate at 0.4 mg/mL in 20 mM sodium phosphate, 117 mM
NaCl, pH 6.5 was centrifuged at 10,000 rpm for approximately 48 h at 20°C. The resulting
absorbance gradient at 280 nm was fit to a single ideal species. The partial specific
volume, 0.68 for this protein, was estimated from the amino acid and carbohydrate
composition. The buoyant molecular weight determined from this analysis was converted to a
molecular weight by dividing by (1 - v-bar rho), where the density, rho, = 1.005 g/mL.
sTNF-R1
The extracellular domain of human tumor necrosis factor (TNF-a) type 1
receptor (sTNF-R1) was expressed in 293S human embryonic kidney cells.(2) The secreted soluble receptor was purified by
chromatography on a TNF-alpha affinity column and reversed phase HPLC. The molecular mass
of this protein is approximately 19 kDa based on the theoretical amino acid composition
derived from the protein sequence encoded by the cDNA. This protein has three potential
N-linked glycosylation sites and this is reflected in its electrophoretic migration in SDS
polyacrylamide gels. The purified protein migrates on SDS PAGE as two major bands with
apparent molecular weights of 28 and 33 kDa and a faint minor band at approximately 24
kDa. The presence of these bands are due to small differences in N-terminal and C-terminal
processing as well as heterogeneity in the carbohydrate composition. Analysis by gel
permeation chromatography yields an apparent molecular weight of 55-60 kDa, and suggests
that this protein exists as a dimer in solution.
Ultracentrifugation of sTNF-R1
sTNF-R1 at 75 µg/mL in PBS was sedimented to equilibrium at 15,000 rpm
in a Beckman Coulter Optima XL-A analytical ultracentrifuge over a period of
18 to 24 h at 20°C. The absorbance as a function of radial position was determined at 232
nm. Buoyant molecular weights, M(1 - v-bar rho), were determined by analyzing the
absorbance gradient as one ideal species as described below. Molecular weights were
computed from the buoyant molecular weights using estimated values for the partial
specific volume of the glycosylated protein. The partial specific volume for sTNF R1 was
calculated assuming that the mass of sTNF R1 is between 10 and 30% carbohydrate and that
the contribution from a carbohydrate chain is 0.63.
Data Analysis
The sedimentation equilibrium data for sTNF-R1 and rgp120 IIIB were
analyzed as a single ideal species. The absorbance, Ar at any radial
position, r, is related to the molecular weight, M, by

where Ar0 is the absorbance at a radial reference
distance, r0, omega is the angular velocity, R is the gas
constant, T is the temperature in Kelvin, v-bar is the partial specific volume of
the molecule, and rho is the solution density. The reference radial distance, r0,
for the analysis was set to a radial position two-thirds of the column height. The data
were fitted to this equation either using a Simplex algorithm implemented in Turbo Pascal,
version 5.5,(3) or with the general curve fitting
routines in the commercially available graphics software package,
KaleidaGraph.
Results and Discussion
Analysis as a single ideal species of the sedimentation equilibrium
concentration gradient in the cell yields buoyant molecular weights. In order to convert
these values to absolute molecular weights, it is necessary to determine the partial
specific volume for the glycoprotein. Experimentally this is done with high-precision
density measurements as a function of protein concentration. Standard physicochemical
methods such as pycnometry require an inordinate amount of material. It is possible to
obtain v-bar values using density meters that make use of the mechanical oscillator
technique,(4) but this technique also requires a fair
amount of protein that may not always be available. Alteration of solvent density using D2O
or D2O18 in sedimentation velocity or sedimentation equilibrium
experiments can also be used to determine v-bar.(5)
An alternative method is to compute the partial specific volume from a weight average of
the partial specific volumes of the component amino acid residues. These calculated and
observed partial specific volumes of many proteins are in good agreement.(6, 7)
In the case of a glycoprotein, a similar calculation can be used to
estimate partial specific volume if the carbohydrate content is known, and again good
agreement between experimental and calculated values has been shown for glycoproteins.(8) Obviously, if the carbohydrate content is unknown, it is
difficult to make estimates for partial specific volume for a glycoprotein. However, the
types of carbohydrate structures found in glycoproteins are generally understood, and it
is possible to estimate the contribution from these oligosacharide chains. Table 1 shows
the typical type of N-linked carbohydrates found in glycoproteins along with an estimate
of partial specific volume for each type of structure. The estimated values range from
0.62 to 0.64 mL/g, and thus it would appear that an estimate of 0.63 mL/g for the average
contribution is not unreasonable. What remains, then, is to compute the partial specific
volume for a glycoprotein with unknown carbohydrate composition, and this is discussed
further below.


The concentration gradients for both glycoproteins after attaining
sedimentation equilibrium are shown in Figures 1 and 2 along with the fit to a single
ideal species model. The residuals are also given in the figures, and aside from some
obvious variations of absorbance (probably due to dirt or imperfections in the quartz
windows of the cells), these data suggest that a single ideal species model is adequate in
both analyses.
Table 2 summarizes the buoyant molecular weights and resulting absolute
molecular weights determined from the estimated partial specific volumes.

Table 2. Molecular Weight of Two Glycoproteins
Determined by Sedimentation Equilibrium
| Glycoprotein |
M(1 v-bar rho)
(kDa) |
v-bar
(mL/g) |
M
(kDa) |
| rgp120 IIIB |
33 |
0.68 |
104 |
| sTNF-R1 |
7.970±0.870 |
0.68-0.70 |
26±2.8 |
Effect of Assumed %Carbohydrate on Molecular Weight of sTNF-R1
| % carbohydrate of sTNF-R1: |
10 |
20 |
30 |
| Estimated v-barsTNF-R1: |
0.70 |
0.69 |
0.68 |
| MsTNF-R1: |
26.9±2.8 |
26±2.7 |
25.2±2.7 |
*All three classes have identical core structure to the right of the
dashed line. Variations may occur due to increased branching or the presence of other
sugars. The values for partial specific volume are calculated on a weight basis using
calculated partial specific volumes for individual sugar residues.(7) The range computed for the complex form is based on a
range of typical structures found in proteins.

It is clear from these data that both glycoproteins are essentially
monomeric in solution rather than dimers as suggested by the gel permeation
chromatography. The determined molecular weight for rgp120 IIIB is approximately 104 kDa,
which is in very good agreement with the expected molecular weight of 102 kDa based on
amino acid and average carbohydrate composition. This agreement is quite good considering
that the partial specific volume was also estimated from amino acid and average
carbohydrate composition. In the case of sTNF-R1, the carbohydrate composition is unknown.
Calculated molecular weights assuming 10, 20 and 30% carbohydrate with an average partial
specific volume of 0.63 mL/g are shown in Table 2. As can be seen, the final values are
relatively insensitive to the carbohydrate content and show that this protein is a monomer
rather than the dimer suggested by the gel permeation chromatography experiments.

Figure 1. Absorbance gradient in centrifuge cell for
sTNF R1, after attaining sedimentation equilibrium. SolidÊline is the result of a fit to
a single ideal sedimenting species. Bottom panel shows the difference in the fitted and
experimental values as a function of radial position.

In conclusion, the sedimentation equilibrium technique can be used to
obtain molecular weights of glycoproteins in solution. Estimation of partial specific
volume using amino acid and carbohydrate composition may be sufficient for these analyses.
Moreover, it may even be possible to estimate the partial specific volume for a
glycoprotein with unknown carbohydrate composition as outlined in this report. The
molecular weights obtained by gel permeation chromatography of the two glycoproteins
discussed in this report are unreliable, but the sedimentation equilibrium technique,
which does not rely on calibration with standard proteins, is an appropriate method to
determine molecular weights of glycoproteins in solution.

Figure 2. Absorbance gradient in centrifuge cell for
rgp120 IIIB, after attaining sedimentation equilibrium. Solid line is the result of a fit
to a single ideal sedimenting species. Bottom panel shows the difference in the fitted and
experimental values as a function of radial position.

References
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