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Using the Flory-Huggins theory for uncharged polymer solutions, key concepts of the critical point, coexistence curve, and spinodal curve are presented. These concepts are then generalized to charged systems by explicitly considering restricted primitive model for electrolytes and new developments for polyelectrolyte solutions that include the liquid-liquid phase separation invoked in the formation of membrane-less organelles. Fibrillization in amyloids and collagen is discusses with a focus of electrostatic effects.
A concise introduction to the physics of charged macromolecules, from the basics of electrostatics to cutting-edge modern research developments. This accessible book provides a clear and intuitive view of concepts and theory, and features appendices detailing mathematical methodology. Supported by results from real-world experiments and simulations, this book equips the reader with a vital foundation for performing experimental research. Topics include living matter and synthetic materials including polyelectrolytes, polyzwitterions, polyampholytes, proteins, intrinsically disordered proteins, and DNA/RNA. Serving as a gateway to the growing field of charged macromolecules and their applications, this concept-driven book is a perfect guide for students beginning their studies in charged macromolecules, providing new opportunities for research and discovery.
Phase separation plays an important role in the formation of membraneless compartments within the cell and intrinsically disordered proteins with low-complexity sequences can drive this compartmentalisation. Various intermolecular forces, such as aromatic–aromatic and cation–aromatic interactions, promote phase separation. However, little is known about how the ability of proteins to phase separate under physiological conditions is encoded in their energy landscapes and this is the focus of the present investigation. Our results provide a first glimpse into how the energy landscapes of minimal peptides that contain $ \pi $–$ \pi $ and cation–$ \pi $ interactions differ from the peptides that lack amino acids with such interactions. The peaks in the heat capacity ($ {C}_V $) as a function of temperature report on alternative low-lying conformations that differ significantly in terms of their enthalpic and entropic contributions. The $ {C}_V $ analysis and subsequent quantification of frustration of the energy landscape suggest that the interactions that promote phase separation lead to features (peaks or inflection points) at low temperatures in $ {C}_V $. More features may occur for peptides containing residues with better phase separation propensity and the energy landscape is more frustrated for such peptides. Overall, this work links the features in the underlying single-molecule potential energy landscapes to their collective phase separation behaviour and identifies quantities ($ {C}_V $ and frustration metric) that can be utilised in soft material design.
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