We noted that the tunneling-percolation framework is quite well understood at the extreme cases of percolationlike and hoppinglike behaviors but that the intermediate regime has not been previously discussed, in spite of its relevance to the intensively studied electrical properties of nanocomposites. Following that we study here the conductivity of dispersions of particle fillers inside an insulating matrix by taking into account explicitly the filler particle shapes and the interparticle electron-tunneling process. We show that the main features of the filler dependencies of the nanocomposite conductivity can be reproduced without introducing any a priori imposed cutoff in the interparticle conductances, as usually done in the percolationlike interpretation of these systems. Furthermore, we demonstrate that our numerical results are fully reproduced by the critical path method, which is generalized here in order to include the particle filler shapes. By exploiting this method, we provide simple analytical formulas for the composite conductivity valid for many regimes of interest. The validity of our formulation is assessed by reinterpreting existing experimental results on nanotube, nanofiber, nanosheet, and nanosphere composites and by extracting the characteristic tunneling decay length, which is found to be within the expected range of its values. These results are concluded then to be not only useful for the understanding of the intermediate regime but also for tailoring the electrical properties of nanocomposites.

This paper reports the application of molecular dynamics methods to understand the interactions between dendritic molecules with spermine surface groups and double-helical DNA. Importantly, we are able to reproduce the binding effects observed experimentally, indicating that this type of modeling is robust and reliable. The energetic effects were deconvoluted in order to quantify the binding of each spermine unit to the DNA double helix. Importantly, for the first-generation dendron G1, DNA binding was adversely affected by increasing levels of NaCl (>10% of the interaction energy is lost). For second-generation G2 however, we observed a compensation effect, in which some ligands "sacrifice" themselves, losing large amounts of binding energy with DNA. However, these ligands screen the complex, which enables the other spermine residues to bind more effectively to DNA. In this way, the multivalent array is able to maintain its high affinity binding, even as the salt concentration increases (only ca. 1% of the interaction energy is lost). These modeling studies are in agreement with, and provide a unique insight into, the experimental results. Clearly, ligand flexibility and ability to reorganize the interactions with DNA are important, demonstrating that high levels of preorganization and ligand framework rigidity are not always beneficial for multivalent recognition. The concept suggested by this modeling study, in which ligand "sacrifice" and binding site screening combine to enable high-affinity binding, is a new paradigm in multivalency.

Polycationic nanocarriers attract increasing attention to the field of siRNA delivery. We investigated the self-assembly of siRNA vs pDNA with polycations, which are broadly used for nonviral gene and siRNA delivery. Although polyethyleneimine (PEI) was routinely adopted as siRNA carrier based on its efficacy in delivering pDNA, it has not been investigated yet why PEI efficiently delivers pDNA to cells but is controversially discussed in terms of efficacy for siRNA delivery. We are the first to investigate the self-assembly of PEI/siRNA vs PEI/pDNA and the steps of complexation and aggregation through different levels of hierarchy on the atomic and molecular scale with the novel synergistic use of molecular modeling, molecular dynamics simulation, isothermal titration calorimetry, and other characterization techniques. We are also the fist to elucidate atomic interactions, size, shape, stoichiometry, and association dynamics for polyplexes containing siRNA vs pDNA. Our investigation highlights differences in the hierarchical mechanism of formation of related polycation–siRNA and polycation–pDNA complexes. The results of fluorescence quenching assays indicated a biphasic behavior of siRNA binding with polycations where molecular reorganization of the siRNA within the polycations occurred at lower N/P ratios (nitrogen/phosphorus). Our results, for the first time, emphasize a biphasic behavior in siRNA complexation and the importance of low N/P ratios, which allow for excellent siRNA delivery efficiency. Our investigation highlights the formulation of siRNA complexes from a thermodynamic point of view and opens new perspectives to advance the rational design of new siRNA delivery systems.