Full Paper
At 20 mm initial concentration (Condition I), we found the
simulated ratio of cis-AZ/cis-BZ within a DCL to be very similar
to the experimentally determined values for dynamic selection,
confirming it to be an accurate model of our dynamic library
system. The simulated ratio of cis-AZ/cis-BZ is lower in the DCL
selection than in the kinetic selection, and continues to fall
with decreasing concentration of starting materials (for details,
see the Supporting Information). This observation, while
counterintuitive, can be attributed to the recognition nitrone
AZ being present at lower concentrations than the nitrone BZ
in the library. As mentioned previously, the higher electron
density around the pyridine ring in BZ nitrone makes the alde-
hyde component B less reactive towards hydroxylamine Z. This
effect becomes more pronounced at lower initial concentra-
tions (for details, see the Supporting Information), effectively
eroding the advantage available to AZ nitrone as a result of its
achieved when the selection occurs from the DCL. However,
the optimum concentration ranges for selectivity (grey zones,
Figure 9) are significantly narrower when selection occurs from
the DCL as opposed to purely kinetically. The narrowing of the
optimum concentration window is proportional to the number
of compounds present within the DCL—the larger the library,
the narrower the window will be.
Ultimately, while the simulations here allow us to determine
the effect of different recognition and reaction parameters on
the selectivity generated in this system by two reactive binary
complexes within a DCL, nonlinear reaction processes, such as
autocatalysis, are an obvious extension and implementing
these processes within DCLs may, in principle, generate more
dramatic selectivity for a single product, this expectation
awaits experimental testing.
higher K value. A similar effect on the cis-AZ/cis-BZ ratio was
not observed in conditions II to IV, likely because the increas-
a
Conclusions
ing K and EM ratios compensate for the lower reactivity. In-
a
A simple recognition event has a profound effect on the distri-
bution of a dynamic library and can be used to amplify chem-
ical species from within a number of interconverting compo-
nents. Nevertheless, the rapid exchange reactions within the
dynamic library and the experimental conditions employed
enable both recognition-mediated reaction processes to oper-
ate efficiently, thereby allowing kinetic selection to prevail.
Through simulations and kinetic fitting, we were able to de-
velop an understanding of the intricate interconnected net-
work and formulate a set of rules that govern the selectivity
within the dynamic system and how it compares to selectivity
in a purely kinetic scenario. Finally, we have demonstrated that
creasing either the K or EM ratio (Condition II and III) revealed
a
that it is possible for a lower concentration to have the desired
effect on the selectivity within a system, if the K or EM ratios
a
for the two competing processes are larger than those ex-
pressed by AZ and BZ in our experimental system. In fact,
analysis of Condition IV revealed that a concurrent increase in
both K and EM ratio affords an even more significant increase
a
in selectivity for one recognition cycloadduct in the system.
Nevertheless, as observed experimentally for nitrone AZ, we
know from experience that increasing the strength of recogni-
tion on element A can potentially also affect the reactivity of
this component towards nucleophiles and its ability to ex-
change within the library. However, as we have no means of
predicting the extent to which the aldehyde reactivity might
be affected, we cannot account for it in the simulation and the
rates of exchange reactions are kept constant throughout the
simulations. We further examined the influence of simulated
initial conditions on the overall conversion to cycloadducts
and the percentage of recognition-enabled species in the
product pool. The simulations showed that there is an opti-
mum window of concentration for obtaining the best selectiv-
ity for recognition products within each set of conditions. Fur-
thermore, we found that selectivity for products formed
through recognition-mediated reactions is affected more
strongly by decreasing concentration within a DCL as com-
pared to under kinetic selection. A drop in selectivity for recog-
nition species is also observed at higher concentrations as
a result of increased contribution of the bimolecular pathway
working at concentrations below the K values of the recogni-
d
tion processes can positively influence the difference in se-
lectivity between two amplified species. However, in order to
induce significant selectivity in a recognition-mediated system,
the difference in the association constants and the effective
molarities of the employed recognition and reactive elements
must be much greater than in our current experimental
system. The results presented here suggest that the successful
resolution of DCLs, where multiple recognition-mediated path-
ways are open to the system, may be impractical. Therefore,
resolution of DCLs using irreversible recognition-mediated ap-
proaches may have to rely on the interplay of multiple kinetic
selection modes, for example, binary reactive complexes and
autocatalytic templates, in order to be effective. This strategy
is currently under investigation in our laboratory.
to the overall product pool. However, this effect is more no- Acknowledgements
ticeable in conditions employing the rather low experimental
EM ratio.
These kinetic simulations demonstrate that a clear set of
This work was supported by the award of a Postgraduate Stu-
dentship from EPSRC (EP/K503162/1) to T.K. The research data
rules exists that describes library performance. A substantial in-
crease in selectivity for cis-AZ over cis-BZ can only be achieved
under Condition IV. In this situation, both the ratio of associ-
ation constants and the ratio of effective molarities for the two
recognition-mediated processes within the reaction network
embedded are 10. In these circumstances, better selectivity is
Keywords: combinatorial chemistry · cycloaddition reaction ·
kinetics · molecular recognition · NMR spectroscopy
Chem. Eur. J. 2016, 22, 1831 – 1839
1838
ꢀ 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim