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44181-AC10
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What makes "hairy particles" slow? In order to facilitate the self-assembly of ordered DNA-colloidal structures one has to understand the origin of the experimentally observed slow relaxation dynamics in these systems. We studied the kinetics of particles which can form multiple "key-lock" bonds with certain substrate, or other particles [key1]-[key2]. Since the number of bonds is random and depends on the relative orientations and positions of the interacting particles, the overall dynamics is a complex interplay of lateral particle diffusion and the binding-unbinding processes. Our study reveals a number of peculiar properties of this model system. First, there is a wide power-law-like distribution of the relaxation times, consistent with experimental data. Second, the lateral particle motion is typically an anomalous diffusion. Finally, the system exhibits "aging" effect: as the particle explores the binding energy landscape by diffusion, it is able to find dipper and dipper minima and hence dramatically extend the bond lifetime. From the practical point of view, an important prediction of our theory is that the fastest dynamics is achieved when a large number of weak bonds are used instead of small number of strong ones.
Cooperative key-lock binding and drug delivery. The above model is not limited to particle with DNA-mediated interactions. Very similar ideas can be applied to other systems with key-lock binding, which may be of a great biological and medical importance. In particular, we have studied the properties of dendrimer particles decorated with functional groups capable of selective adsorption to certain membrane proteins in living cells. These nanodevices have been suggested for cell specific drug delivery, e.g. for chemotherapy. The scheme is based on the notion that certain membrane proteins (e. g. folic acid receptors) are more expressed in cancerous cells than in normal ones. This contrast should be further enhanced due to the cooperative binding: if each nanodevice can make more than one bond to target the proteins, its binding will be highly specific to cancerous cells. However, our analysis of in-vitro experiments shows that the cooperativity is kinetically limited. In other words, if the target proteins are immobilized (which is often the case in a real biological membrane), it will take many binding-unbinding events to find a configuration with sufficient number of bonds. On smaller time scales, one typically encounters particles with just one or two bonds. The non-trivial prediction of our theory is that the cooperativity and hence the specificity can be enhanced by reducing the strength of individual key-lock bonds. We have suggested a particular realization of this scenario by using the DNA-mediated scheme (see the Figure below).