Dissolution of an ensemble of differently shaped poly-dispersed drug particles undergoing solubility reduction: mathematical modelling

Michela Abrami; Lucia Grassi; Rosario Di Vittorio; Dritan Hasa; Beatrice Perissutti; Dario Voinovich; Gabriele Grassi; Italo Colombo; Mario Grassi

doi:10.5599/admet.841

Authors

Michela Abrami Dept. of Engineering and Architecture, Trieste University, Via Alfonso Valerio, 6/A, Trieste, I-34127 Italy
Lucia Grassi Liceo Scientifico G. Galilei, Trieste, Via Mameli 4, I-34139 Italy
Rosario Di Vittorio Dept. of Engineering and Architecture, Trieste University, Via Alfonso Valerio, 6/A, Trieste, I-34127 Italy
Dritan Hasa Dept. of Chemical and Pharmaceutical Sciences, Trieste University, Piazzale Europa 1, Trieste, I-34127, Italy
Beatrice Perissutti Dept. of Chemical and Pharmaceutical Sciences, Trieste University, Piazzale Europa 1, Trieste, I-34127, Italy
Dario Voinovich Dept. of Chemical and Pharmaceutical Sciences, Trieste University, Piazzale Europa 1, Trieste, I-34127, Italy
Gabriele Grassi Dept. of Life Sciences, Cattinara University Hospital, Trieste University, Strada di Fiume 447, Trieste, I-34149 Italy
Italo Colombo Dept. of Engineering and Architecture, Trieste University, Via Alfonso Valerio, 6/A, Trieste, I-34127 Italy
Mario Grassi Dept. of Engineering and Architecture, Trieste University, Via Alfonso Valerio, 6/A, Trieste, I-34127 Italy http://orcid.org/0000-0002-3532-3200

DOI:

https://doi.org/10.5599/admet.841

Dissolution of an ensemble of differently shaped poly-dispersed drug particles undergoing solubility reduction: mathematical modelling

Abstract

The aim of this theoretical paper is to develop a mathematical model for describing the dissolution process, in a finite liquid environment, of an ensemble of poly-dispersed drug particles, in form of sphere, cylinder and parallelepiped that can undergo solubility reduction due to phase transition induced by dissolution. The main result of this work consists in its simplicity as, whatever the particular particles size distribution, only two ordinary differential equations are needed to describe the dissolution process. This, in turn, reflects in a very powerful and agile theoretical tool that can be easily implemented in electronic sheets, a widespread tool among the research community. Another model advantage lies on the possibility of determining its parameters by means of common independent techniques thus enabling the evaluation of the importance of solid wettability on the dissolution process.