A Two-Layer Mathematical Modelling of Drug Delivery to Biological Tissues

TL;DR

This paper presents a two-layer mathematical model for drug release and transport in biological tissues, integrating physicochemical processes to better predict drug efficacy and aid therapeutic development.

Contribution

It introduces a comprehensive two-layer PDE model that captures drug release, diffusion, binding, and internalization in tissues, advancing systemic understanding of drug delivery.

Findings

Model elucidates roles of diffusion and binding parameters

Predicts drug transport dynamics in tissue layers

Provides framework for optimizing drug delivery systems

Abstract

Local drug delivery has received much recognition in recent years, yet it is still unpredictable how drug efficacy depends on physicochemical properties and delivery kinetics. The purpose of the current study is to provide a useful mathematical model for drug release from a drug delivery device and consecutive drug transport in biological tissue, thereby aiding the development of new therapeutic drug by a systemic approach. In order to study the complete process, a two-layer spatio-temporal model depicting drug transport between the coupled media is presented. Drug release is described by considering solubilisation dynamics of drug particle, diffusion of the solubilised drug through porous matrix and also some other processes like reversible dissociation / recrystallization, drug particle-receptor binding and internalization phenomena. The model has led to a system of partial differential equations describing the important properties of drug kinetics. This model contributes towards the perception of the roles played by diffusion, mass-transfer, particle binding and internalization parameters.