Using the path integral approach, we obtain characteristic functions of gyration radius distributions for Gaussian star and rosette macromolecules. We derive analytical expressions cumulants both distributions. Applying steepest descent method, estimate probability distribution in limit a large number arms two limiting regimes: strongly expanded collapsed show that cases, regime relative to its...

The conflict between classical and modern theories of criticality is resolved by recognising that both theories work with approximate models, whose relative merits can be assessed by their response to efforts to refine them. Contrary to many claims, critical exponents are not tools fitted to discriminate between different models. True, Riemannian theory which characterises analytic functions in...

The presence of negatively charged, impermeant proteins in the plasma space alters the distribution of diffusible ions in the plasma and interstitial fluid (ISF) compartments to preserve electroneutrality. We have derived a new mathematical model to define the quantitative interrelationship between the Gibbs-Donnan equilibrium, the osmolality of body fluid compartments, and the plasma water Na+...

1. Colloids have been divided into two groups according to the ease with which their solutions or suspensions are precipitated by electrolytes. One group (hydrophilic colloids), e.g., solutions of gelatin or crystalline egg albumin in water, requires high concentrations of electrolytes for this purpose, while the other group (hydrophobic colloids) requires low concentrations. In the latter grou...

The contribution of neutral polymer brush to the curvature elasticity of the grafting surface is investigated theoretically. Using self-consistent field theory, we accurately evaluate the dependence of bending modulus on parameters including chain length, Flory-Huggins parameter and grafting density and reveal the importance of solvent. The results show that the brush-induced bending modulus fo...

The presence of negatively charged, impermeant proteins in the plasma space alters the distribution of diffusible ions in the plasma and interstitial fluid (ISF) compartments to preserve electroneutrality and is known as Gibbs-Donnan equilibrium. In patients with hypoalbuminemia due to underlying cirrhosis, the decrease in the plasma water albumin concentration ([Alb-]pw) would be expected to r...