Brownian dynamics simulations of polyelectrolyte adsorption in shear flow

Adsorption of polyelectrolytes and polyelectrolytes-surfactant mixtures at surfaces: a physico-chemical approach to a cosmetic challenge

The use of polymer and polymer - surfactant mixtures for designing and developing textile and personal care cosmetic formulations is associated with various physico-chemical aspects, e.g. detergency and conditioning in the case of hair or wool, that determine their correct performances in preserving and improving the appearance and properties of the surface where they are applied. In this work, special attention is paid to the systems combining polycations and negatively charged surfactants. The paper introduces the hair surface and presents a comprehensive review of the adsorption properties of these systems at solid-water interfaces mimicking the negative charge and surface energy of hair. These model surfaces include mixtures of thiols that confer various charge densities to the surface. The kinetics and factors that govern the adsorption are discussed from the angle of those used in shampoos and conditioners developed by the cosmetic industry. Finally, systems able to adsorb onto negatively charged surfaces regardless of the anionic character are presented, opening new ways of depositing conditioning polymers onto keratin substrates such as hair.

Mesoscopic simulation of single DNA dynamics in rotational flows

In this numerical study, the transport and dynamics of an isolated DNA in rotational flow generated in a microchannel have been investigated using dissipative particle dynamics. Often, inertial flow through microchannels with a sudden change in surface structure facilitates a re-circulation or vortex region. The conformation and mobility of the bio-polymer under the influence of such rotating fluid inside a square cavity of the microchannel is analyzed. The flexible polymer chain is found to migrate towards the rotating region and follows the vortex streamline. The orientation, size and tumbling period of polymer strands are affected by the strength of the microvortex. At elevated flow rates, the macromolecule prefers to remain inside the vortex and a hydrodynamic trap is formed. Moreover, residence time of the single molecule in the microcavity is significantly influenced by the chain length and flow strength. Further, it has been demonstrated that, such entrapment duration can be strategically altered by modifying the hydrophobicity of the microchannel.

Brownian dynamics simulations of confined tethered polymers in shear flow: the effect of attractive surfaces

Coarse grain Brownian dynamics simulations of the bead-spring model are used to investigate the effect of attractive surfaces on the stretching of confined tethered polymers under shear flow. The weak and strong adsorbed regimes have been addressed by means of a coarse grain van der Waals potential to simulate polymer substrate interactions. Different stationary cyclic dynamics are observed upon varying shear flow intensity and surface potential strength. Polymer stretching decreases as increasing the attractive potential strength, breaking down the scaling predictions for non-adsorbed polymers. We found that adsorption is enhanced by the shear flow strength in agreement to simulations of adsorbed non-tethered polymers.

Conformational properties of interacting neurofilaments: Monte Carlo simulations of cylindrically grafted apposing neurofilament brushes

Neurofilaments are essential cytoskeletal filaments that impart mechanical stability to axons. They are mostly assembled from three neurofilament proteins that form the core of the filament and its sidearms. Adjacent neurofilaments interact with each other through their apposing sidearms and attain unique conformations depending on the ionic condition, phosphorylation state, and interfilament separations. To understand the conformational properties of apposing sidearms under various conditions and gain insight into interfilament interactions, we performed Monte Carlo simulations of neurofilament pairs. We employed a sequence-based coarse-grained model of apposing NF sidearms that are end-tethered to cylindrical geometries according to the stoichiometry of the three neurofilament subunits. Monte Carlo simulations were conducted under different conditions such as phosphorylation state, ionic condition, and interfilament separations. Under salt-free conditions, apposing sidearms are found to adopt mutually excluding stretched but bent away conformations that are reminiscent of a repulsive type of interaction. Under physiological conditions, apposing sidearms are found to be in a coiled conformation, suggesting a short-range steric repulsive type of interaction. Increased sidearm mutual interpenetration and a simultaneous decrease in the individual brush heights were observed as the interfilament separation was reduced from 60 to 40 nm. The observed conformations suggest entropic interaction as a likely mechanism for sidearm-mediated interfilament interactions under physiological conditions.

Phosphorylation-mediated conformational changes in the mouse neurofilament architecture: insight from a neurofilament brush model

Neurofilaments (NFs) are important cytoskeletal filaments that consist of long flexible C-terminal tails that are abundant with charges. The tails attain additional negative charges through serine phosphorylation of Lys-Ser-Pro (KSP) repeat motifs that are particularly found in neurofilament heavy (NF-H) and neurofilament medium (NF-M) proteins. These side-arm protrusions mediate the interaction between neighboring filaments and maintain axonal diameter. However, the precise role of NF proteins and their phosphorylation in regulating interfilament distances and axonal diameter still remains unclear. In this regard, a recent gene replacement study revealed that the phosphorylation of mouse NF-M KSP repeats does not affect axonal cytoarchitecture, challenging the conventional viewpoint on the role of NF phosphorylation. To better understand the effect of phosphorylation, particularly NF-M phosphorylation, we applied a computational method to reveal phosphorylation-mediated conformational changes in mouse NF architecture. We employed a three-dimensional sequence-based coarse-grained NF brush model to perform Monte Carlo simulations of mouse NF by using the sequence and stoichiometry of mouse NF proteins. Our result shows that the phosphorylation of mouse NF-M does not change the radial extension of NF-M side arms under a salt-free condition and in ionic solution, highlighting a structural factor that supports the notion that NF-M KSP phosphorylation has no effect on the axonal diameter of mouse. On the other hand, significant phosphorylation-mediated conformational changes were found in NF-H side arms under the salt-free condition, while the changes in ionic solution are not significant. However, NF-H side arms are found at the periphery of mouse NF architecture, implying a role in linking neighboring filaments.

Brownian dynamics simulations of polyelectrolyte adsorption onto topographically patterned surfaces

The effect of patterned surface topography on the adsorption of single polyelectrolyte molecules is explored using Brownian dynamics simulations. The polyelectrolyte is modeled as a free-draining, freely jointed bead-rod chain, and electrostatic interactions are incorporated using a screened Coulombic potential with excluded volume interactions accounted for by the repulsive part of a Lennard-Jones potential. Topography consisting of periodically spaced valleys of square cross section separated by flat hills is considered. Chain conformations are characterized for a wide range of valley widths, depths, and spacings as well as for several different types of surface charge distributions. Depending on the parameter values describing the topography, the chains are found to adopt conformations ranging from flat and extended to those associated with bridge-, brush-, or semi-bridge-like structures. The formation of these structures is rationalized on the basis of a free-energy model that takes into account the increase in free energy due to entropic confinement, excluded volume interactions, and chain stretching as well as the decrease in free energy due to bead-surface electrostatic attraction. The results of this work are expected to be useful in designing patterned surface topography to control the conformations of adsorbed polyelectrolyte molecules.

Adsorption of Charged Dendrimers: A Brownian Dynamics Study

The adsorption of isolated charged dendrimers onto oppositely charged flat surfaces is studied in this work using Brownian dynamics simulations. The dendrimer is modeled as a freely jointed bead-rod chain in which excluded-volume interactions are modeled by a repulsive Lennard-Jones potential and bead-bead and bead-surface electrostatic interactions are described by screened Coulombic potentials. Adsorption behavior is studied as a function of inverse screening length, dendrimer generation, and dendrimer charge distribution. Adsorbed dendrimers adopt a disclike conformation in which they flatten in the direction normal to the surface and expand in the direction parallel to the surface. As the inverse screening length increases, the dendrimer expands in the normal direction and contracts in the parallel direction, adopting a conformation that is more stretched in the normal direction. When the inverse screening length becomes sufficiently large, the dendrimer desorbs and adopts a spherelike conformation. Bead density profiles show that adsorbed dendrimers form a two-layer structure, with one layer corresponding to adsorbed beads and a second, less dense layer corresponding to beads one rod length away from the surface. They also reveal how the distribution of monomers within the dendrimer and near the surface can be tailored by changing various problem parameters. The results presented here are expected to be helpful in providing qualitative guidance for dendrimer design in various applications.

Brownian dynamics simulations of polyelectrolyte adsorption onto charged patterned surfaces

The adsorption of single polyelectrolyte molecules onto surfaces decorated with periodic arrays of charged patches was studied using Brownian dynamics simulations. A free-draining, freely jointed bead-rod chain was used to model the polyelectrolyte, and electrostatic interactions were incorporated using a screened Coulombic potential with the excluded volume accounted for by a hard-sphere potential. The simulations predicted that the polyelectrolyte lies close to the adsorbing surface if the patch length, surface charge density, and screening length are sufficiently large. Chain conformations were found to be very sensitive to patch length, patch spacing, and the nature of the charge on adjacent patches. This is due both to the size of the polymer relative to patch length and spacing and to the structure of the electric field near the surface. In some cases, the component of the radius of gyration parallel to the surface can be made smaller than its free-solution value, which is contrary to what is observed for a uniformly charged surface. Isolated charged patches were also considered, and significant adsorption was observed above a critical surface charge density. The results demonstrate how polyelectrolyte conformations can be controlled by the design of the charged patches and may be useful for applications in which adsorbed polyelectrolyte films play a key role.