A R T I C L E S
Nativi et al.
progressively saturated. When comparing, for example, the
affinities of two reagents A and A′ (e.g., two hosts H and H′)
for the same ligand (G), while the selectivity ratio BC50(H)/
BC50(H′) will remain constant in the entire xH range and equal
to the BC0 (H)/BC0 (H′) ratio, the actual BC50 values will
Table 3. Intrinsic Median Binding Concentration BC050 (µM) with
Standard Deviation (σ) for Complexes of Receptors 1, 3, and 4
with Octylglycosides in CDCl3 at T ) 298 Ka
BC050
(σ)
glycoside
1b
3
4
50
50
increase with increasing xH from BC0 to saturation, reflecting
RGlc
âGlc
1720(40)
1970(90)
268(2)
4.8(5)
570(20)
24(2)
50
the decreasing binding ability of the receptors with the increasing
extent of saturation (see Supporting Information). We believe
that the BC50 and BC050 descriptors represent the most useful
and most general indicators of binding affinity.17
6780(50)c
7750(90)d
368(1)
19000(1000)c
11500 (300)d
790(20)
70(1)
RGal
1520(30)
1190(30)
1600(200)
6000(200)
2000(200)
2600(200)
âGal
120(1)
262(4)
660(10)
1179(3)
30(2)
RMan
43(1)
37(1)
72(7)
18(1)
It should be emphasized that, although not necessary, BC50
and BC050 can be appropriately employed in cases where a 1:1
association is the only equilibrium involved, allowing for a direct
comparison of results with those from more complex systems
and, thus, heterogeneous in nature. In this case, it has been
demonstrated7 that BC500 coincides with the dissociation con-
stant Kd ) 1/Ka, also known as the affinity constant, where Ka
is the association constant of the 1:1 binding equilibrium,
making apparent the chemical meaning of the intrinsic median
binding concentration, which can be viewed as a “global”
affinity constant.18
âMan
RGlcNAc
âGlcNAc
a Calculated from the log â values reported in Table 1. b Calculated from
log â values from ref 7. c Calculated from the log â values measured by
NMR in CD3CN. d Calculated from the log â values measured by ITC in
CH3CN.
Table 4. Intrinsic Median Binding Concentration BC050 (µM) with
Standard Deviation (σ) for Complexes of Receptors 2, 5, and 6
with Octylglycosides in CDCl3 at T ) 298 Ka
receptor
glycoside
BC050
(σ)
Glycoside Binding Affinity and Selectivity. Using the
affinity descriptors, we are now able to quantitatively evaluate
the binding ability of the pyrrolic tripodal receptors, which can
be most appropriately discussed in terms of intrinsic median
binding concentrations. The BC050 values calculated for 3 and 4
from â11, â21, and âdim of Table 1 are reported in Table 3
together with the corresponding values calculated for 1 from
previously reported data7 for direct comparison. In contrast to
1, whose affinities are in the millimolar range, BC050 values for
3 and 4 lie in the micromolar range, demonstrating a dramati-
cally improved binding ability with respect to the ureidic
progenitor. Besides the remarkable figure of 4.8 µM shown by
3 for âGlc, which improves on the affinity of 1 by over 400-
fold, in general, the observed affinities compete favorably with
data reported in the chemical literature, establishing the
described tripodal hosts as a new generation of highly effective
receptors for monosaccharides.
2
5
5
6
âGlc
RGlc
âGlc
âGlc
3690(50)
8300(300)
5400(100)
62000(1000)
a Calculated from the log â values reported in text.
are strongly bound to 4; on the contrary, âGlc is preferred by
3 by orders of magnitude with respect to the other mono-
saccharides.
To our knowledge, the selectivities shown by 3 for âGlc,
not only versus the R-anomer but also versus the other
monosaccharides, appear to be among the largest reported for
neutral synthetic receptors. The fact that âGlcNAc, which, like
âGlc, possesses all equatorial substituents, is bound only 6-fold
less effectively than âGlc indicates that the correct comple-
mentarity is achieved for equatorial H-bonding groups. An
analogous conclusion can be drawn for 4, for which âGlcNAc
is bound even more strongly than âGlc. In contrast, axial
hydroxyl groups seem to feature a mismatched binding geom-
etry, affecting 3 distinctly more than 4 and showing that
geometric and coordinative requirements are significantly more
strict for the former than for the latter. It can be concluded that
the pyrrolic tripodal architecture is well suited to preferentially
bind to the all-equatorial conformation of glucose and glu-
cosamine, while conformational restrictions imposed by the
imine double bonds of 3 significantly improve selectivity with
respect to the aminic receptor 4, as a result of a reduced
flexibility.
A peculiar feature emerging from Table 3 is that the aminic
receptor 4 is generally more effective than the iminic receptor
3, whereas the latter is distinctly more selective than the former.
Indeed, both are selective for âGlc, but selectivity spans a range
of over 30-fold for 4 and nearly 250-fold for 3. Except for RGlc
and RGal, for which lower affinities are observed, all glycosides
(17) Care must be paid to the presence of complex species multinuclear in the
analyte B. From BC50 equations (see Appendix in the Supporting Informa-
tion), it is apparent that, in contrast to all other species, they contribute to
the descriptor with a coefficient that depends on the stoichiometry of the
species. When comparing systems fitting different models and featuring
complex species multinuclear in B of different stoichiometry, the contribu-
tion of the latter species to BC50 will not be equally scaled unless weighted
for the corresponding coefficients. It must be stressed that this represents
a matter of concern only when complex species multinuclear in the analyte
B of different stoichiometry are present, for example, when comparing
binding abilities of two reagents A and A′ toward a common reagent B
and species AB2 and A′B3 are formed. In these cases, it is easily seen that
Comparison with the reference compounds highlights the
contributions to binding of the pyrrolic and the imino/amino
groups. The BC050 values calculated for 2, 5, and 6 from the
measured constants are reported in Table 4. Although the
triaminic receptor 2 is indeed capable of binding âGlc with
millimolar affinity, the improvement brought by the pyrrolic
binding sites is 770-fold for 3 and 150-fold for 4. It is also
worth noting that the affinity of 2 for âGlc is only 2-fold lower
than that of the triureidic receptor 1. It is evident that the
contribution of the pyrrolic substituents is substantial, whereas
converting the triaminic receptor to the corresponding triureidic
the contributions of these species to BC050 become indefinite, while those
to BC50 will not be equally weighted (see Appendix in the Supporting
Information). Since, most frequently, multinuclear complex species, if any,
appear for only one of the two reagents, typically the titrating agent, an
alternative approach in such cases would consist of calculating the BC50
value toward the reagent lacking multinuclear complex species.
(18) To expedite the calculation of the descriptors from the values of the binding
constants, the computer program “BC50 Calculator” has been developed
and made available for free upon request. The equations used by the
program to calculate BC50 values are described in the Appendix in the
Supporting Information.
9
4382 J. AM. CHEM. SOC. VOL. 129, NO. 14, 2007