Our previous study demonstrated that isothermal titration microcalorimetry (ITC) could be used to determine the thermodynamics of binding of a series of synthetic multivalent carbohydrates to the Man/Glc-specific lectins concanavalin A (ConA) and Dioclea grandiflora lectin (DGL) [Dam, T. K., Roy, R., Das, S. K., Oscarson, S. and Brewer, C. F. (2000) J. Biol. Chem. 275, 14223-14230]. The higher affinities of the multivalent carbohydrates for the two lectins were shown to be due to their greater positive entropy of binding contributions relative to monovalent analogues. In the present study, ITC data from our previous report for binding of di-, tri-, and tetravalent carbohydrate analogues possessing terminal 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranoside residues to ConA and DGL were subjected to Hill plot analysis. Hill plots of the binding of monovalent methyl 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranoside to ConA and DGL are linear with slopes near 1.0, demonstrating a lack of binding cooperativity and allosteric transitions in the proteins. However, Hill plots for the binding of the di-, tri-, and tetravalent trimannoside analogues to both lectins are curvilinear with decreasing tangent slopes below 1.0, indicating increasing negative cooperativity upon binding of the analogues to the lectins. The curvilinear Hill plots are consistent with decreasing affinity and functional valencies of the multivalent analogues upon sequential binding of lectin molecules to the carbohydrate epitopes of the analogues. The following paper [Dam, T. K., Roy, R., Pagé, D., and Brewer, C. F. (2002) Biochemistry 41, 1359-1363] provides direct evidence of the decreasing affinity constants of multivalent carbohydrates upon sequential binding of lectin molecules.

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The preceding paper [Dam, T. K., Roy, R., Pagé, D., and Brewer, C. F. (2002) Biochemistry 41, 1351-1358] demonstrated that Hill plots of isothermal titration microcalorimetry (ITC) data for the binding of di-, tri-, and tetravalent carbohydrate analogues possessing terminal 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranoside residues to the lectin concanavalin A (ConA) show increasing negative cooperativity upon binding of the analogues to the lectin. The present study demonstrates "reverse" ITC experiments in which the lectin is titrated into solutions of di- and trivalent analogues. The results provide direct determinations of the thermodynamics of binding of ConA to the individual epitopes of the two multivalent analogues. The n values (number of binding sites per carbohydrate molecule) derived from reverse ITC demonstrate two functional binding epitopes on both the di- and trivalent analogues, confirming previous "normal" ITC results with the two carbohydrates [Dam, T. K., Roy, R., Das, S. K., Oscarson, S., and Brewer, C. F. (2000) J. Biol. Chem. 275, 14223-14230]. The reverse ITC measurements show an 18-fold greater microscopic affinity constant of ConA for the first epitope of the divalent analogue versus its second epitope and a 53-fold greater microscopic affinity constant of ConA binding to the first epitope of the trivalent analogue versus its second epitope. The data also demonstrate that the microscopic enthalpies of binding of the two epitopes on the di- and trivalent analogues are essentially the same and that differences in the microscopic K(a) values of the epitopes are due to their different microscopic entropies of binding values. These findings are consistent with the increasing negative Hill coefficients of these analogues binding to ConA in the previous paper.