Francisco J. Martinez-Veracoechea

Receptor-Mediated Endocytosis of Nanoparticles of Various Shapes

Cellular uptake through endocytosis is crucial for drug delivery and nanomedicine. However, the conditions under which passive endocytosis (i.e., not ATP driven) takes place are not well understood. We report MD simulations of the passive uptake of ligand-coated nanoparticles with varying size, shape, coverage, and membrane-binding strength. We find that the efficiency of passive endocytosis is higher for spherocylindrical particles than for spheres and that endocytosis is suppressed for particles with sharp edges.

Designing super selectivity in multivalent nano-particle binding

A key challenge in nano-science is to design ligand-coated nano-particles that can bind selectively to surfaces that display the cognate receptors above a threshold (surface) concentration. Nano-particles that bind monovalently to a target surface do not discriminate sharply between surfaces with high and low receptor coverage. In contrast, “multivalent” nano-particles that can bind to a larger number of ligands simultaneously, display regimes of “super selectivity” where the fraction of bound particles varies sharply with the receptor concentration. We present numerical simulations that show that multivalent nano-particles can be designed such that they approach the “on-off” binding behavior ideal for receptor-concentration selective targeting. We propose a simple analytical model that accounts for the super selective behavior of multivalent nano-particles. The model shows that the super selectivity is due to the fact that the number of distinct ligand-receptor binding arrangements increases in a highly nonlinear way with receptor coverage. Somewhat counterintuitively, our study shows that selectivity can be improved by making the individual ligand-receptor bonds weaker. We propose a simple rule of thumb to predict the conditions under which super selectivity can be achieved. We validate our model predictions against the Monte Carlo simulations.

Spatiotemporal control and superselectivity in supramolecular polymers using multivalency.

Multivalency has an important but poorly understood role in molecular self-organization. We present the noncovalent synthesis of a multicomponent supramolecular polymer in which chemically distinct monomers spontaneously coassemble into a dynamic, functional structure. We show that a multivalent recruiter is able to bind selectively to one subset of monomers (receptors) and trigger their clustering along the self-assembled polymer, behavior that mimics raft formation in cell membranes. This phenomenon is reversible and affords spatiotemporal control over the monomer distribution inside the supramolecular polymer by superselective binding of single-strand DNA to positively charged receptors. Our findings reveal the pivotal role of multivalency in enabling structural order and nonlinear recognition in water-soluble supramolecular polymers, and it offers a design principle for functional, structurally defined supramolecular architectures.

Intracellular Release of Endocytosed Nanoparticles Upon a Change of Ligand–Receptor Interaction

During passive endocytosis, nanosized particles are initially encapsulated by a membrane separating it from the cytosol. Yet, in many applications the nanoparticles need to be in direct contact with the cytosol in order to be active. We report a simulation study that elucidates the physical mechanisms by which such nanoparticles can shed their bilayer coating. We find that nanoparticle release can be readily achieved by a pH-induced lowering of the attraction between nanoparticle and membrane only if the nanoparticle is either very small or nonspherical. Interestingly, we find that in the case of large spherical nanoparticles, the reduction of attraction needs to be accompanied by exerting an additional tension on the membrane (e.g., via nanoparticle expansion) to achieve release. We expect these findings will contribute to the rational design of drug delivery strategies via nanoparticles.

Quantitative Prediction of the Phase Diagram of DNA-Functionalized Nanosized Colloids

We present a coarse-grained model of DNA-functionalized colloids that is computationally tractable. Importantly, the model parameters are solely based on experimental data. Using this highly simplified model, we can predict the phase behavior of DNA-functionalized nanocolloids without assuming pairwise additivity of the intercolloidal interactions. Our simulations show that, for nanocolloids, the assumption of pairwise additivity leads to substantial errors in the estimate of the free energy of the crystal phase. We compare our results with available experimental data and find that the simulations predict the correct structure of the solid phase and yield a very good estimate of the melting temperature. Current experimental estimates for the contour length and persistence length of single-stranded (ss) DNA sequences are subject to relatively large uncertainties. Using the best available estimates, we obtain predictions for the crystal lattice constants that are off by a few percent: this indicates that more accurate experimental data on ssDNA are needed to exploit the full power of our coarse-grained approach.

Predicting DNA-mediated colloidal pair interactions

Recently, Rogers and Crocker (1) proposed a method to predict the interaction between colloids coated with two kinds of ssDNA, A and B. A key step in ref. 1 was to estimate the average number of DNA bonds, 〈N〉, assuming local chemical equilibrium (LCE) between hybridized and unhybridized sticky end concentrations:

Nanoparticle Organization in Sandwiched Polymer Brushes

The organization of nanoparticles inside grafted polymer layers is governed by the interplay of polymer-induced entropic interactions and the action of externally applied fields. Earlier work had shown that strong external forces can drive the formation of colloidal structures in polymer brushes. Here we show that external fields are not essential to obtain such colloidal patterns: we report Monte Carlo and molecular dynamics simulations that demonstrate that ordered structures can be achieved by compressing a sandwich of two grafted polymer layers, or by squeezing a coated nanotube, with nanoparticles in between. We show that the pattern formation can be efficiently controlled by the applied pressure, while the characteristic length-scale, that is, the typical width of the patterns, is sensitive to the length of the polymers. Based on the results of the simulations, we derive an approximate equation of state for nanosandwiches.

The entropic impact of tethering, multivalency and dynamic recruitment in systems with specific binding groups

This Highlight Article discusses the important yet frequently overlooked entropic effects in soft matter systems that have one or more tethered binding groups. We show that the effective interactions depend sensitively on a combination of configurational, combinatorial and translational entropy factors, which have to do with the tethering of the binding groups, the binding state multiplicity in multivalent systems, and the dynamic recruitment of surface-mobile binding groups. Importantly, these entropic effects can give rise to qualitatively new behavior, e.g. in the phase behavior of DNA-functionalized colloids or in the targeting of ligand-functionalized nanoparticles to cell receptors. A better understanding of the thermodynamics of tethered (multivalent) bond interactions thus impacts a wide range of fields, including soft materials science, biophysics, nanomedicine and biosensing, supramolecular and colloidal self-assembly, and nanofabrication.

Anomalous phase behavior of liquid–vapor phase transition in binary mixtures of DNA-coated particles

We report a Monte Carlo study of a 1u2006:u20061 binary mixture of particles coated with DNA chains with “sticky” ends. The system was modeled using a coarse-grained representation. In order to map out the phase diagram of this model system we combined biased Monte Carlo simulations with histogram reweighting techniques. We find that, at low temperatures (strong hybridization) this system undergoes a phase separation between a dilute vapor-like phase and a dense network-forming liquid-like phase. We observe a surprising non-monotonic dependence of the coexistence pressure on the temperature, or more precisely, on the reduced hybridization free energy (fhyb/kBT). This anomalous behavior can be understood in terms of a cross-over between two distinct regimes for the driving force of the phase transition: a hybridization-free-energy-driven regime and an entropy-driven regime. In the former regime, we observe a “normal” vapor–liquid equilibrium where during condensation, the system gains hybridization free energy but loses entropy. In the entropy-driven regime, the phase transition is driven by the increase in entropy due to the re-arrangement of sticky-end bonds in the liquid phase. Finally, we observe that the system can only undergo phase separation if the valence (i.e., the number of DNA-chains per particle) is larger than two. The coexistence region widens markedly as the valence is increased.

Collective ordering of colloids in grafted polymer layers

We present Monte Carlo simulations of colloidal particles pulled into grafted polymer layers by an external force. The insertion free energy for penetration of a single colloid into a polymer layer is qualitatively different for surfaces with an ordered and a disordered distribution of grafting points and the tendency of colloidal particles to traverse the grafting layer is strongly size dependent. In dense colloidal suspensions, under the influence of sufficiently strong external forces, colloids penetrate and form internally ordered, columnar structures spanning the polymer layer. The competition between the tendency for macro-phase separation of colloids and polymers and the elastic-like penalty for deforming the grafted layer results in the micro-phase separation, i.e. finite colloidal clusters characterized by a well-defined length scale. Depending on the conditions, these clusters are isolated or laterally percolating. The morphology of the observed patterns can be controlled by the external fields, which opens up new routes for the design of thin structured films.