Supporting data and methods for the multi-scale modelling of freeze-drying of microparticles in packed-beds.

A multi-scale approach can be used to simulate the drying behavior of microparticles in packed-bed. Data outcomes from discrete element method (DEM) and computational fluid dynamics (CFD) simulations can be used to estimate some relevant product characteristics, such as the porosity, tortuosity, voids in the bed and permeability which are required by the multi scale model. Data from DEM simulations are presented, with a particular focus on the influence of the model parameters, packing characteristics and inhomogeneities (wall effect and particles segregation); computational costs and scala bility are also considered. Data on the properties of packings as modeled at the macroscale are presented with regard to the thermal conductivity of gases in the Knudsen regime and effective properties of packed-beds modeled as a pseudo-homogeneous medium. A mathematical model of the freeze-drying of single microparticles and its outcomes are first presented. Data outcomes from the mathematical model at the macroscale concerning the drying behavior of microparticles in a tray and in a vial are then presented and can be used for process design. Some further data, with detailed interpretation and discussion of the presented data, can be found in the related research data article, "A multi-scale computational framework for modelling the freeze-drying of microparticles in packed-beds" (Capozzi et al., 2019).

Achieving continuous manufacturing in lyophilization: Technologies and approaches.

This paper provides an organic overview of the most interesting continuous freeze-drying concepts that have been proposed over the years. Attention has mainly been focused on the field of pharmaceuticals, but some background has also been given on the food industry. This work aims at providing a solid starting point for future research on continuous manufacturing for the freeze-drying of pharmaceuticals.

Looking inside the 'black box': Freezing engineering to ensure the quality of freeze-dried biopharmaceuticals.

The freezing step plays a central role in reaching the most stringent requirements of quality, homogeneity and standardization of freeze-dried products. In this paper, a systematic procedure has been proposed to obtain a quantitative estimation of the pore-size variability of lyophilized products resulting from uncontrollable variations of the nucleation temperature. This procedure consisted in collecting the nucleation temperature from a statistically significant number of samples and correlating each nucleation temperature to the corresponding product morphology, using a mathematical model, to obtain a statistical description of the lyophilized product structure. This approach can also be used to obtain an estimation of the variability of the mass transfer resistance to vapor flow and, finally, of the drying time. Two different freezing configurations, i.e., conventional and suspended-vial freezing, have been used as case studies since they can produce significantly different freezing rates.