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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…

Dynamical Systems · Mathematics 2016-01-26 Koyel Chakravarty , D C Dalal

Drug-Filled Porous Implants (DFPIs) are an innovative solution for delivering drugs in a controlled and sustained manner to target sites. To optimize their performance across various physiological conditions, it is essential to understand…

Chemical Physics · Physics 2026-04-28 Pawan Kumar Pandey , KVS Chaithanya , Prateek K. Jha

A lattice gas model is proposed for investigating the release of drug molecules on devices with semi-permeable, porous membranes in two and three dimensions. The kinetic of this model was obtained through the analytical solution of the…

The transport of biomolecules, drugs, or reactants encapsulated inside stimuli-responsive polymer networks in aqueous media is fundamental for many material and environmental science applications, including drug delivery, biosensing,…

In this work we develop and investigate mathematical and computational models that describe drug delivery from a contact lens during wear. Our models are designed to predict the dynamics of drug release from the contact lens and subsequent…

Biological Physics · Physics 2024-03-04 Daniel M. Anderson , Rayanne A. Luke

The goal of the present study is to develop polymeric matrix films loaded with a combination of free diclofenac sodium (DFSfree) and DFS:Ion exchange resin complexes (DFS:IR) for immediate and sustained release profiles, respectively.…

Drug-loaded hydrogels provide a means to deliver pharmaceutical agents to specific sites within the body at a controlled rate. The aim of this paper is to understand how controlled drug release can be achieved by tuning the initial…

Optimization and Control · Mathematics 2022-02-07 Matthew J. Penn , Matthew G. Hennessy

A computational model is proposed to investigate drug delivery systems in which erosion and diffusion mechanisms are participating in the drug release process. Our approach allowed us to analytically estimate the crossover point between…

We present a mechanistic model of drug release from a multiple emulsion into an external surrounding fluid. We consider a single multi-layer droplet where the drug kinetics are described by a pure diffusive process through different liquid…

Soft Condensed Matter · Physics 2020-09-02 G. Pontrelli , E. J. Carr , A. Tiribocchi , S. Succi

Predicting the release performance of a drug delivery device is an important challenge in pharmaceutics and biomedical science. In this paper, we consider a multi-layer diffusion model of drug release from a composite spherical microcapsule…

Medical Physics · Physics 2019-01-25 Elliot J. Carr , Giuseppe Pontrelli

In this paper we develop two mathematical models to predict the release kinetics of a water soluble drug from a polymer/excipient matrix tablet. The first of our models consists of a random walk on a weighted graph, where the vertices of…

Medical Physics · Physics 2009-09-29 Boris Baeumer , Lipika Chatterjee , Peter Hinow , Thomas Rades , Ami Radunskaya , Ian Tucker

Mathematical modelling and computer simulation are increasingly being used alongside experiments to help optimise and guide the design of drug delivery systems. Recent drug delivery research has (i) highlighted the advantages of drug…

Medical Physics · Physics 2025-08-28 Obi A. Carwood , Elliot J. Carr

We report results of an experimental study, complemented by detailed statistical analysis of the experimental data, on the development of a more effective control method of drug delivery using a pH sensitive acrylic polymer. New copolymers…

Biological Physics · Physics 2014-12-08 N. Panja , A. K. Chattopadhyay

Pulmonary drug delivery systems rely on inhalation of drug-laden aerosols produced from aerosol generators such as inhalers, nebulizers etc. On deposition, the drug molecules diffuse in the mucus layer and are also subjected to mucociliary…

Tissues and Organs · Quantitative Biology 2022-01-14 Aranyak Chakravarty , Mahesh V. Panchagnula , Alladi Mohan , Neelesh A. Patankar

In diffusion-controlled drug delivery, it is possible for drug molecules to bind to the carrier material and never be released. A common way to incorporate this phenomenon into the governing mechanistic model is to include an irreversible…

Medical Physics · Physics 2024-01-19 Elliot J. Carr

Acid-induced release of stored ions from polyacrylic acid hydrogels (with a free surface fully permeable to the ion and acid flux) was observed to increase the gel osmotic pressure that leads to rapid, temporary swelling faster than the…

Soft Condensed Matter · Physics 2024-01-24 Chinmay Katke , Peter A. Korevaar , C. Nadir Kaplan

Drug delivery systems represent a promising strategy to treat cancer and to overcome the side effects of chemotherapy. In particular, polymeric nanocontainers have attracted major interest because of their structural and morphological…

Medical Physics · Physics 2020-01-10 G. Pontrelli , G. Toniolo , S. McGinty , D. Peri , S. Succi , C. Chatgilialoglu

Dileptons serve as a clean and penetrating probe of the Quark--Gluon Plasma created in high-energy heavy-ion collisions. In this work, we investigate thermal dilepton spectra and their elliptic flow through the dynamical conductivity that…

Nuclear Theory · Physics 2025-08-26 Ashutosh Dwibedi , Ankit Kumar Panda , Sabyasachi Ghosh , Victor Roy

The impact of droplets on an inclined falling liquid film is studied experimentally using high-speed imaging. The falling film is created on a flat substrate with controllable thicknesses and flow rates. Droplets with different sizes and…

Fluid Dynamics · Physics 2015-09-09 Zhizhao Che , Amandine Deygas , Omar K. Matar

We propose a mathematical model for computing drug release from multi-layer capsules. The diffusion problem in such heterogeneous layer-by-layer composite medium is described by a system of coupled partial differential equations, which we…

Medical Physics · Physics 2017-08-04 Badr Kaoui , Marco Lauricella , Giuseppe Pontrelli
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