A class of stochastic algorithms for the numerical treatment of population balance equations is introduced. The algorithms are based on systems of weighted particles, in which coagulation events are modelled by a weight transfer that keeps the number of computational particles constant. The weighting mechanisms are designed in such a way that physical processes changing individual particles (su...

This paper presents a new numerical method for solving the population balance equation using the modi ed method of characteristics. Aggregation and break-up are neglected but the density function variations in the three-dimensional space and its dependence on the external elds are accounted for. The method is an interpretation of the Lagrangian approach. Based on a pre-speci ed grid, it follows...

Background: The ageing process reduces sensory and motor capabilities such as balance & also increases the fear of movement, resulting in a high number falls among elderly. Some therapeutic interventions can directly interrupt this improves kinesiophobia. This study examines effect proprioceptive training on both. Objective: To determine kinesiophobia geriatric population. Methodology: A ra...

Population balance modeling is undergoing phenomenal growth in its applications, and this growth is accompanied by multifarious reviews. This review aims to fortify the model's fundamental base, as well as point to a variety of new applications, including modeling of crystal morphology, cell growth and differentiation, gene regulatory processes, and transfer of drug resistance. This is accompli...