Modelling mass diffusion for a multi-layer sphere immersed in a semi-infinite medium: application to drug delivery

DOI10.1016/j.mbs.2018.04.004zbMath1405.92115arXiv1801.05136OpenAlexW2800814543WikidataQ88357841 ScholiaQ88357841MaRDI QIDQ1711947

Giuseppe Pontrelli, Elliot J. Carr

Publication date: 18 January 2019

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.05136

zbMATH Keywords

Laplace transformmass diffusionsemi-analytical solutiondrug releasecomposite spheres

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Laplace transform (44A10)

Related Items (4)

Generalized Laplace-type transform method for solving multilayer diffusion problems ⋮ Exponential and Weibull models for spherical and spherical-shell diffusion-controlled release systems with semi-absorbing boundaries ⋮ Simplified models of diffusion in radially-symmetric geometries ⋮ Drug delivery from microcapsules: how can we estimate the release time?

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• Talbot quadratures and rational approximations
• Modelling drug-eluting stents

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