In this paper, we focus on providing a discrete formulation for a reduced aggregation
population balance equation. The new formulation is simpler, easier to code, and adaptable …

The application of multi-dimensional population balance equations (PBEs) for the simulation
of granulation processes is recommended due to the multi-component system. Irrespective …

The batch-production dominated pharmaceutical industries started to evaluate various
continuous production platforms recently. With this wave, transitions from batch to …

The population balance model is the common approach to simulation and prediction of the
size distribution and other properties of particulate systems. Population balance models …

An efficient and accurate discretization method based on a finite volume approach is
presented for solving aggregation population balance equation. The principle of the method …

A new discretization for simultaneous aggregation, breakage, growth and nucleation is
presented. The new discretization is an extension of the cell average technique developed …

This article presents a bi-variant dynamic model of continuous mixed-suspension, mixed-
product-removal (MSMPR) precipitation with agglomeration (aggregation and disruption) …

Population balance equations (PBEs) in conjunction with appropriate kinetic expressions
have been extensively employed as modeling tools to elucidate the dynamic behavior of …

A new discretization method for aggregation equations is developed. It is compared to the
fixed pivot technique proposed by Kumar and Ramkrishna (1996a. On the solution of …

Of utmost importance in the crystallization of active pharmaceutical ingredients (APIs) in the
pharmaceutical industry is to produce crystals of good physical, processing, and …