C O M M U N I C A T I O N S
complementarily direct its own formation. The expression of the
components in the library evolves along both kinetic and thermo-
dynamic biases that both lead to the amplification of the best
duplicator. Because of the double reversibility of the system
(supramolecular H-bonds and molecular imine condensation), the
competition is not only ruled by the differential rates of formation
of the components, but also by the possible takeover of the building
blocks of the antagonistic competitors,11 thus leading to the decrease
of their absolute concentration. From a “Darwinian” point of view,
such a system illustrates the selection of the most efficient self-
duplicator by the destruction of the entities which are not (or less,
such as Al1Am2) able to duplicate themselves. We are currently
studying the possibility to couple a dynamic combinatorial library
with a “self-replicating loop”,7d,12 thus leading to an auto-catalytic
behavior, that is, displaying a sigmoid concentration-time profile
for the self-replicated member of the library.
Figure 1. Representation of the products’ concentration in various dynamic
combinatorial libraries (DCL1-3), determined by 1H NMR at 22 °C in
CDCl3 (c ) 15 mM for each of the starting materials.
Acknowledgment. This work was supported by a doctoral
fellowship from the China Scholarship Council within the frame
of the Colle`ge Doctoral Franco-Chinois between University Louis
Pasteur (Strasbourg, France) and Shandong University (Jinan,
China) (S.X.). We wish to express thanks to Pr. Jean-Marie Lehn
for his help at various stages in the past year.
Supporting Information Available: Characteristic NMR spectra
as well as a discussion of kinetics and thermodynamics data. This
References
(1) Lehn, J.-M. Proc. Natl. Acad. Sci. U.S.A. 2002, 99, 4763-4768.
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Figure 2. Evolution as a function of time of the concentration of the 6
products Al(1-3)Am(1,2) in the 11-member dynamic combinatorial library
(DCL2) described in Scheme 1. Concentrations were determined by 1H
NMR and products are represented as follows: (9) Al1Am1, (b) Al1Am2,
(O) Al2Am1, (+) Al2Am2, (right solid triangle) Al3Am1, and (∆) Al3Am2.
(4) For examples of recent advances, see for instance: (a) Severin, K. Chem.
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mM). Second, this amplification of the self-duplicator is realized
by the takeover of the resources of its direct competitors, that is,
the imines having antagonistic connectivity11 with Al1Am1 (namely
Al1Am2, Al2Am1, and Al3Am1, (3.0 mM each), see middle right
frame in Scheme 1). Thus, the amplification of the self-duplicator
Al1Am1 compared to its direct competitors reaches a value of
+200%. And last, the agonistic connectivity11 between the self-
duplicator Al1Am1 together with Al2Am2 and Al3Am2 leads to a
small increase of the last two products compared to the statistical
distribution (5.7 mM; +14%).
We also studied the kinetic behavior of the 11-member library
DCL2 by plotting the concentration of the constituents as a function
of time (Figure 2). This kinetic evolution is biased compared to
the “non-self-duplicating” DCL1 involving Al2, Al3, Am1, and Am2,
in which the 4 imines display very similar initial rates in the
competition experiment (≈4.5 × 10-1 mM‚h-1, see SI). In DCL2,
the self-duplicator Al1Am1 is produced with a V0 of 59 × 10-1
mM‚h-1, which is about 60 times faster than the condensation of
Al2Am1, and Al3Am1 (0.96 × 10-1 mM‚h-1); 13 times faster than
Al2Am2 and Al3Am2 (4.6 × 10-1 mM‚h-1); and 6 times faster than
Al1Am2 (9.6 × 10-1 mM‚h-1). These differential rates lead to a
maximum (+200%) of amplification (kinetic amplification) of the
self-duplicator (10.98 mM) compared to its immediate competitor
Al1Am2sand of +160% compared to the average concentration
of the six iminessat t ) 16 h (Figure 1, striped bars). We assume
that the kinetic amplification is mainly the result of a pre-association
complex between Al1 and Am1 as indicated by the kinetic studies
of the individual reactions (SI).
(5) (a) Giuseppone, N.; Lehn, J.-M. Chem.-Eur. J. 2006, 12, 1715-1722.
(b) Giuseppone, N.; Fuks, G.; Lehn, J.-M. Chem. Eur. J. 2006, 12, 1723-
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4619-4624.
(6) Lehn, J.-M. Chem. Soc. ReV. 2007, 36, 151-160.
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Curr. Opin. Chem. Biol. 2004, 8, 634-639. (d) Patzke, V.; von
Kiedrowski, G. ARKIVOC 2007, 293-310. For a study of the kinetic
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the final product, see: (e) Terfort, A.; von Kiedrowski, G. Angew. Chem.,
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(8) (a) Tjivikua, T.; Baluster, R.; Rebek, J. J. Am. Chem. Soc. 1990, 112,
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(9) The corresponding Rebek “self-replicator” is made by the association of
adenosine amine 1 and a Kemp’s imide activated ester, producing an
irreVersible amide bond instead of a reVersible imine bond in our case.
(10) Askew, B.; Ballester, P.; Buhr, C.; Jeong, K. S.; Jones, S.; Parris, K.;
Williams, K.; Rebek, J. J. Am. Chem. Soc. 1989, 111, 1082-1090.
(11) Constituents directly related through one of their components may be
considered as antagonists (increasing one, decreases the others), whereas
constituents with no common component behave as agonists (increasing
one, increases the other), as defined in reference 5a; see also 4a.
(12) We use the term “self-replication” for auto-catalytic systems displaying
a sigmoid concentration-time profile and the term “self-duplication” for
a system displaying the general property to thermodynamically or
kinetically (or both) favor its own formation (see also SI).
In conclusion, we have demonstrated that it is possible to self-
amplify one product in a DCL, namely the one that can self-
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