We study the dynamics and conformation of polymers composed by active monomers. By means of Brownian dynamics simulations we show that when the direction of the self-propulsion of each monomer is aligned with the backbone, the polymer undergoes a coil-to-globule-like transition, highlighted by a marked change of the scaling exponent of the gyration radius. Concurrently, the diffusion coefficient of the center of mass of the polymer becomes essentially independent of the polymer size for sufficiently long polymers or large magnitudes of the self-propulsion. These effects are reduced when the self-propulsion of the monomers is not bound to be tangent to the backbone of the polymer. Our results, rationalized by a minimal stochastic model, open new routes for activity-controlled polymer and, possibly, for a new generation of polymer-based drug carriers.
Proteins self-organization is a hallmark of biological systems. Physico-chemical principles governing protein-protein interactions have long been known. However, the principles by which such nanoscale interactions generate diverse phenotypes of mesoscale assemblies, including phase-separated compartments, remain challenging to characterize. To illuminate such principles, we create a system of two proteins designed to interact and form mesh-like assemblies. We devise a novel strategy to map high-resolution phase diagrams in living cells, which provide self-assembly signatures of this system. The structural modularity of the two protein components allows straightforward modification of their molecular properties, enabling us to characterize how interaction affinity impacts the phase diagram and material state of the assemblies in vivo. The phase diagrams and their dependence on interaction affinity were captured by theory and simulations, including out-of-equilibrium effects seen in growing cells. Finally, we find that cotranslational protein binding suffices to recruit an mRNA to the designed micron-scale structures.
We present a numerical/theoretical
approach to efficiently evaluate
the phase diagram of self-assembling DNA nanostars. Combining input
information based on a realistic coarse-grained DNA potential with
the Wertheim association theory, we derive a parameter-free thermodynamic
description of these systems. We apply this method to investigate
the phase behavior of single components and mixtures of DNA nanostars
with different numbers of sticky arms, elucidating the role of the
system functionality and of salt concentration. Specifically, we evaluate
the propensity to demix, the gas–liquid phase boundaries and
the location of the critical points. The predicted critical parameters
compare very well with existing experimental results for the available
compositions. The approach developed here is very general, easily
extensible to other all-DNA systems, and provides guidance for future
experiments.
We report the results of comprehensive experiments and numerical calculations of interfacial morphologies of water confined to the hydrophilic top face of rectangular posts of width W = 500 μm and lengths between L = 5W and 30W. A continuous evolution of the interfacial shape from a homogeneous liquid filament to a bulged filament and back is observed during changes in the liquid volume. Above a certain threshold length of L* = 16.0W, the transition between the two morphologies is discontinuous and a bistability of interfacial shapes is observed in a certain interval of the reduced liquid volume V/W(3).
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