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* National Centre for Macromolecular Hydrodynamics, School of Biosciences, University of Nottingham, Sutton Bonington Campus, Sutton Bonington, LE12 5RD United Kingdom;
Center of Excellence, Institute of Chemistry, Slovak Academy of Sciences, 845 48 Bratislava, Slovakia; and
Institute of Pharmacy, University of Oslo, Blindern, Oslo, Norway
Correspondence: Address reprint requests to Prof. Stephen E. Harding, NCMH, School of Biosciences, University of Nottingham, Sutton Bonington, LE12 5 RD UK. Tel.: 44-11-5951-6148; Fax: 44-11-5951-6142; E-mail: steve.harding{at}nottingham.ac.uk.
| ABSTRACT |
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| INTRODUCTION |
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Molecular interaction strengths are conveniently represented in terms of equilibrium dissociation constants, Kd, whose units are conventionally M, µM, or nM: the larger the Kd the weaker the interaction. Interaction strengths (1
) are conventionally regarded as "strong" (Kd < 100 nM), "moderate" (100 nM to 10 µM), or "weak" (>10 µM). The CCIs measured so far have been found to be generally in the "tighter" end of the binding range as compared to PPI/CPIs, and nothing has been observed in the important "weak" region (10s and 100s of µM level) associated withand reported forcell adhesion and immunological phenomena (Table 1). One of the reasons given for the absence of data in this important physiological region has been the difficulty in measuring such interaction strengths in this range (4
) although the greater availability of hydrodynamic methodspreferred tools for looking at weak interactions (22
,23
)now renders this region accessible for study. Using this technology we can now demonstrate for the first time to our knowledge that carbohydrates from a class of polysaccharide known as the heteroxylans can show well-defined weak self-interaction at the level frequently found in protein systems. This observation is particularly interesting in that many of these hemicellulose polysaccharides exhibit immunostimulatory and complement activation properties (24
30
). The demonstration that weak interactions are possible in carbohydrates may help toward a proper understanding of the mechanisms involved in such behavior.
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4) linked D-xylopyranosyl residue backbone with side chains of
(1
3) linked L-arabinofuranose residues (31
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| MATERIALS AND METHODS |
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Before all experiments, samples were dissolved in a phosphate-chloride (pH 7.0, I = 0.1 M) buffered solution (45
) in screw-capped tubes with constant stirring at low speed. During this period, the temperature was raised to 80.0°C for 10 min to obtain maximum solubility. Stirring continued at room temperature (20.0°C) overnight at low speed. Samples were then subjected to preparative centrifugation at 40,000 rpm for 15 min (Beckman L8-55 M Ultracentrifuge, Beckman Instruments, Palo Alto, CA) to remove any insoluble particles or aggregates. Solution concentrations were estimated using a differential refractometer (Atago DD5, Jencons Scientific, Leighton Buzzard, UK) and a refractive index increment, dn/dc, of 0.151 mL/g (46
).
Composition analysis
Residual protein content was calculated as percentage nitrogen x 6.25 using an Elemental Analyser (Perkin-Elmer, Model 240, Wellesley, MA). Samples were hydrolyzed in 2 M TFA (2,2,2 trifluoroacetic acid) for 2 h to measure the monosaccharide composition (47
) using article chromatography and gas-liquid chromatography of alditol trifluoroacetates (Hewlett-Packard, Model HP 5890, Palo Alto, CA). The amount of feruloyl groups (mg FA/g sample) was determined using a spectrophotometer (48
) by direct absorbance measurement at 375 nm of freshly prepared solutions of hemicelluloses (0.5 mg/mL) in 0.07 M glycine-NaOH buffer (pH 10.0) with the Specord M-20 ultraviolet-visible spectrophotometer (Zeiss, Jena, Germany). A calibration curve was constructed using ferulic acid as standard.
Lymphocyte transformation test
The method described by Iribe and Koga (49
) was followed to study the level of bioactivity (29
,50
). Rat thymocytes (strain Wistar, males weighing
200 g) in Roswell Park Memorial Institute-1640 medium supplemented with 5% fetal calf serum were cultivated at 1.5 x 106 cells in 0.2 mL per well with or without 25 µg/mL of the T-mitogen phytohemagglutinin (PHA). Test compounds were added at final concentrations of 3, 10, 30, 100, 300, and 1000 µg/mL. After 72 h of cultivation, thymocyte proliferation was measured by incorporation of 3H-thymidine expressed in counts per minute (cpm). In each of three independent experiments, mean cpm for each set of four replicas was used to calculate the stimulation indices (SI).
Complement fixation activity
The procedure of Michaelsen et al. (51
) and Nergard et al. (52
) was followed and is based on the inhibition of hemolysis of antibody-sensitized sheep erythrocytes by human sera. The percentage of inhibition of lysis = 100 x (Acontrol Asample/Acontrol).
Sedimentation velocity experiments
An Optima XL-I analytical ultracentrifuge (Beckman Instruments) was employed equipped with a Rayleigh interference optical system. Solutions (380 µL)/reference solvent (400 µL) were injected into double sector, carbon-filled 12-mm path length centerpieces and then loaded into an 8-hole titanium rotor. Solutions of PO2, PO5, and PO6 were run at a rotor speed of 40,000 rpm and a temperature of 20.0°C. PO5 solutions were also measured at temperatures of 5.0°C and at 30.0°C. Changes in the concentration distribution in the ultracentrifuge cell as a function of time were analyzed using the so-called least squares g*(s) methods incorporated into the finite-difference algorithm SEDFIT (53
,54
), with scans taken every 4 min. Scans were used from attainment of meniscus depletion (typically after 90+ min at 20°C) up to the point at which the midpoint of the boundary had traversed a further
20% of column lengthwhich meant that
40 scans were analyzed depending on the temperature of the measurement (more scans were used at 5°C, where the sedimentation rates are slower because of the higher viscosity of the solvent, than at 30°C. A regularization setting was set at 0.68.
The weight average s for a particular component was then corrected to standard solvent conditions (density and viscosity of water at 20°C) to yield s20,w (S) (55
). The s20,w was measured at a range of concentration, c, for all samples. The s20,w vs. c dependence was then analyzed using the routine MONOMER-DIMER to yield estimates for the zero concentration or "ideal" value
and the association constant ka (mL/g), and hence the molar association constant Ka (µM1) if the molar mass (molecular weight) M of the monomer species is known. MONOMER-DIMER is a locally written algorithm defined within the software pro Fit (Quantum Soft, Zürich, Switzerland). It derives from the original work of Gilbert and Gilbert (56
), adjusted to take into account the hydrodynamic dependence (nonspecific or "nonideality" effects) of the (weight-averaged) s value of the sedimenting species (57
,58
). ks for the monomer species was computed independently, knowing the molecular weight and
values and the partial specific volume. The ks for the dimer was assumed to be identical, and both were fixed in the fitting (58
). The equations employed in this fitting are derived as follows. From the law of mass action, we solve in the conventional manner for the roots of a quadratic expression, thus providing the degree of association (
) of monomer units to dimers, in terms of the total solute concentration, c:
![]() | (1) |
![]() | (2) |
![]() | (3) |
![]() | (4) |
![]() | (5) |
and
are the sedimentation coefficients at infinite dilution of the monomer and dimer species, respectively, Vs is the swollen specific volume of the species (taken here as 1.4 mL/g), and
p is the maximal packing volume, assumed to be identical for both species and taken as equal to 0.45 v/v (the precise value assumed is virtually irrelevant for fitting of these dilute solutions).
The weight-averaged sedimentation coefficient (sw, in which the subscript "w" denotes the nature of the average) at (total) concentration, c, is then given by
![]() | (6) |
are floated as variables. The
value was computed from
on the assumption that to an approximation,
x 22/3. By varying this calculated
value over a range, it was shown that the level of variation in Ka estimates resulting was within the size exclusion of the estimate of Ka (as is expected for weak interaction). The values for ks for the monomer (typically close to 22 mL/g at 20°C) were computed from the equation of Rowe (42
![]() | (7) |
The frictional ratio was computed conventionally from the molecular weight, sedimentation coefficient, and partial specific volume via the software package BIOMOLS (http://www.nottingham.ac.uk/ncmh). Finally, an estimate for Kd was obtained from the reciprocal of Ka. The above theory has been derived for the case of a single monomeric species, undergoing association to the dimer level, the resultant mixture being characterized by its weight-averaged sedimentation coefficient. Clearly in our case, where we have a polymeric species of narrow distribution, we have a whole set of self-interactions taking place. However, since the weight-averaged s value of two distributions, each of which is a weight-averaged distribution must, of algebraic necessity, be itself a weight-averaged value over the whole distribution, we consider that the approach will be valid to a level more than adequate for making an "interaction/no interaction" judgment and to giving a reasonable estimate for its strength. We have also assumed the interaction is monomer-dimer and proceeds no further within the concentration range (limited by the solubility of the polysaccharide) studied. If the association were to proceed indefinitely, because of the weakness of the association the levels of n-mers higher than dimer would not be significant.
Molecular weight determination
A value for the (weight average) molecular weight Mw for each of PO2, PO5, and PO6 was required to enable conversion of kd values to molar dissociation constants, Kd. Size exclusion chromatography (SEC) coupled with multiangle laser light scattering (MALLs) was used. The chromatographic assembly consisted of an high-performance liquid chromatography pump (Model PU-1580, Jasco, Tokyo, Japan), a Rheodyne injection valve (Model 7125, Rheodyne, St Louis, MO) fitted with a 100-µL loop, a Phenomenex guard column (Phenomenex, Macclesfield, UK), TSK (Tosoh Bioscience, Tokyo, Japan) Gel G4000 PW connected in series with TSK Gel G3000 PW. The angular scattering envelope was recorded using a Dawn DSP MALL photometer, and concentration was determined using an Optilab 903 interferometric refractometer (both instruments from Wyatt Technology, Santa Barbara, CA) with phosphate buffer saline as mobile phase. The SEC-MALLs system was equilibrated overnight with the phosphate-chloride buffer at flow rate of 0.8 mL/min and room temperature. Samples (100 µL) with accurately know concentration and filtered through 0.45-µm filters (Whatman, Maidstone, UK) were injected at the same flow rate. The primary data obtained from the light scattering photometer and the refractometer were captured and analyzed on a PC using the ASTRA (for Windows 98) software supplied by the manufacturer. Because of the low injection concentrations (<1.7 mg/mL) used followed by considerable dilution on the columns, thermodynamic nonideality effects were not taken into consideration.
| RESULTS AND DISCUSSION |
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Sedimentation velocity and molar dissociation constants
The sedimentation distribution profiles for PO2, PO5, and PO6 revealed a nearly quasicontinuous distribution, confirming the integrity of the sample preparation procedure (Fig. 3). The distributions shown with s (Fig. 3 a) and log(s) (Fig. 3 b) as the abscissae are apparent ones as they are not corrected for diffusion or nonideality effects. The latter plot is also shown since polysaccharides usually exhibit a log-normal distribution with regard to molecular weight (although we do not know the functional dependence of s with M for these polysaccharides). The so called c(s) procedure popularly used in protein work for correcting for diffusion is not applicable here since the assumption of a single frictional ratio is invalid. Simulations of the g*(s) vs. s profiles were performed based on what would be the expected distribution for an ideal monodispersed monomer species with no self-association (i.e., the breadth of the distribution being solely due to translational diffusion); such a simulation is shown in Fig. 3 a, top. Comparison of the experimental g*(s) s profile with that generated from a simulated ideal data for a monomeric system shows that the former profile is a little broader than the latter and a little more "skewed" toward the upper end. This is exactly what would be expected for a simple monomer-dimer system, on the basis of Gilbert and Gilbert theory. Essentially, the polydispersity of the system is so low that it would actually be difficult, on the basis of our results, to say with any certainty that the system is other than quasimonodisperse, and this is supported by the lack of symmetry when we plot g*(s) log s (Fig. 3 b); a more symmetrical distribution would be expected for a broader log-normal distribution of molecular species. In regard to the possible presence of higher n-mers of the (narrowly distributed with respect to mass) base species (plural), we note that the g(s) profile returns to the baseline in the region above
5S, where any such higher species should contribute. This is clear evidence for their absence on any significant scale. Thus we are not identifying an interaction which is other than weak; this implies that at our working concentrations the greater number of the species present in our narrow distribution of monomers will be in the nonassociated state.
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and kd, the dissociation constant (g/mL), and the data are presented in Table 3. To convert kd values to molar dissociation constants, Kd, we use the weight average Mw from SEC-MALLs (
32,700 g/mol) for all samples. PO2 and PO5 are classical "weak" interactions (Kds
340 and 660 µM, respectively), with PO6 showing little or no interaction (Kd > 3000 µM).
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versus concentration. The "monomer" and "dimer" lines refer to the 30.0°C sample, which shows the highest degree of s-c dependence as a consequence of its elevated frictional ratio. The corresponding "monomer" and "dimer" lines for the 5.0°C and 20.0°C data are omitted in the interest of clarity: they are much less steep than the 30.0°C lines. Interestingly the highest degree of self-association occurred at 30.0°C with a Kd of
140 µM whereas, at 5.0°C, there was no significant self-interaction (Kd > 3000 µM).
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| CONCLUSION |
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Our finding is, to the best of our knowledge, the first report of a reversible weak self-association both in a polysaccharide and a carbohydrate system not conjugated to a protein. Although this particular weak interaction is not directly important for the bioactive behavior of these substances, the fact that we have demonstrated that carbohydrate groups are capable of weak hydrophilic self-interactionsprecisely in the range that others have shown for proteins to be crucial for molecular recognitionmakes a significant step forward in our understanding of carbohydrates in both bioactivity and other recognition processes: they may be capable of weak interactions with receptor molecules, whatever they may be.
| ACKNOWLEDGEMENTS |
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This work was supported by the SAS-COST D28 action program of the European Community, the UK Engineering and Physical Sciences Research Council, grant No. GR/S17321/01, and the Slovak Grant Agency (Vedecká Grantová Agentúra), grant No. 2/6131/06.
| FOOTNOTES |
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Submitted on November 11, 2006; accepted for publication March 14, 2007.
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