# Dissolution of variable-in-shape drug particles via the level-set method

Source: [Dissolution of variable-in-shape drug particles via the level-set method](<https://www.sota2.com/research/paper/68fa4bfa1e209131ce949cb4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:01.523Z

Authors: Emiliano Cristiani, Mario Grassi, Francesca L. Ignoto, Giuseppe Pontrelli

Published: 2024-07-11T09:59:49.000Z

## Abstract

In this work, we deal with a mathematical model describing the dissolution process of irregularly shaped particles. In particular, we consider a complete dissolution model accounting for both surface kinetics and convective diffusion, for three drugs with different solubility and wettability: theophylline, griseofulvin, and nimesulide. The possible subsequent recrystallization process in the bulk fluid is also considered. The governing differential equations are revisited in the context of the level-set method and Hamilton-Jacobi equations, then they are solved numerically. This choice allows us to deal with the simultaneous dissolution of hundreds of different polydisperse particles. We show the results of many computer simulations which investigate the impact of the particle size, shape, area/volume ratio, and the dependence of the interfacial mass transport coefficient on the surface curvature.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2407.08350>)

[PDF](<https://arxiv.org/pdf/2407.08350.pdf>)