We study the virial expansion of mixtures of countably many different types of particles. The main tool is the Lagrange–Good inversion formula, which has other applications such as counting coloured trees or studying probability generating functions in multi-type branching processes. We prove that the virial expansion converges absolutely in a domain of small densities. In addition, we establis...

Experimental Investigations into Interactions and Collective Behavior in Protein/Polymer Mixtures and Granular Rods A dissertation presented to the Faculty of the Graduate School of Arts and Sciences of Brandeis University, Waltham, Massachusetts by Joshua David Bloustine Interactions and collective behavior are studied for two examples of protein/polymer mixtures and for dynamic and static ens...

A new approach, consisting of using radial basis function networks to obtain the long-range part of diatomic potential energy functions from simulated second virial coefficients, is presented. From these simulated data the artiÐcial neural network was able not only to learn but also to predict properties for systems that were not considered during the training process. Fifteen di†erent diatomic...

New model xDLVO-CGhybr calculating second osmotic virial coefficient of protein solutions is developed. Data calculated agrees well with experiments due to accurate estimation electrostatic protein–protein interactions using a hybrid methodology.