Phase Diagram and Effective Shape of Semiﬂexible Colloidal Rods and Biopolymers
Entry by Max Darnell, AP 225, Fall 2011
Title: Phase Diagram and Effective Shape of Semiﬂexible Colloidal Rods and Biopolymers
Authors: M. Dennison, M. Dijkstra, and R. van Roij
Journal: PRL 106, 208302 (2011)
Rodlike particles show great promise in bioengineering due to their ability to self-assemble into a wide variety of liquid-crystal phases. One of the most important systems is f n viruses, which can be engineered into needles by incorporating a polyethylene-glycol (PEG) coating. Unfortunately, however, these phase diagrams of such systems, and the mechanisms behind each phase, have been poorly understood. This paper identifies the key parameter in the state of the system as flexibility of the needles. Also, the stretching of micelles formed from these needles is examined.
The authors followed a segmented-chain model first introduced by Wessels and Mulder in which flexibility is incorporated into the model by introducing a bending potential parameter between segments in the chain. Also, the excluded volume is taken into account. The model is then generalized to two-component systems and the full phase behavior is mapped out. Also, the effective particle shape is calculated, which turns out to be strongly state-dependent and thus crucial in building phase diagrams. The authors calculated the phase diagrams for mixtures of bare fd particles (species 1, thin) and PEG-coated ones(species 2, thick), with equal contour and persistence lengths.
The authors then cite a theoretical model by Turner and Cates which suggests that not only is high shear necessary for micelle formation, but that highly-aligned flow is also necessary. Thus, the authors employed a microfluidic setup that contained glass bead, forming a porous network. Therefore, flow through the beads is highly ordered but also is strong enough to induce micelle formation. Figure 2 shows different stages of the gel/micelle formation and its interaction with the packed beads. Long, stable gels can be seen. It should be noted that the authors were able to store such gels for months without seeing degradation. This is a marked improvement over previous methods by which the gels immediately dissociated.
Finally, the authors characterized these nanogels to ensure that they properties are suitable with the new manufacturing method. CryoTEM was used to observe the nanostructure of the material, which is given in the figure below. It can be seen that the average micelle width was 28nm and that the average inter-micelle spacing was 41nm.
Connection to Soft Matter
Gels are a very common focus of research in soft matter physics due to their applications in biomedicine, photonics, and sensing. The properties of these gels, however, are often dificult to tailor and require caustic chemicals that prevent their use in biological systems. Many of the current biomaterials used in biomedicine are micro or even macroporous, and the space of nanoporous gels has not been deeply explored. This paper's use of purely physical means to create robust nanoporous gels suggests the potential viability of using nanogels in biological applications. From a manufacturing perspective, this paper highlights one of the more successful broad applications of microfluidics, that being the ability to capitalize on low Reynolds-Number flows to manipulate structures on scales that otherwise were only tractable via chemical means.