Dynamics of polydisperse irreversible adsorption: a pharmacological example
Many drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug carrier can reduce such undesirable interactions. A fundamental...
Auteurs principaux: | , , , , |
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Format: | Journal article |
Langue: | English |
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2006
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author | Erban, R Chapman, J Fisher, K Kevrekidis, I Seymour, L |
author_facet | Erban, R Chapman, J Fisher, K Kevrekidis, I Seymour, L |
author_sort | Erban, R |
collection | OXFORD |
description | Many drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug carrier can reduce such undesirable interactions. A fundamental understanding of the adsorption process is still lacking. In this paper, the classical random irreversible adsorption model is generalized to capture certain essential processes involved in pharmacological applications, allowing for macromolecules of different sizes, partial overlapping of the tails of macromolecules, and the influence of reactions with the solvent on the adsorption process. Working in one dimension, an integro-differential evolution equation for the adsorption process is derived and the asymptotic behaviour of the surface area covered and the number of molecules attached to the surface is studied. Finally, equation-free dynamic renormalization tools are applied to study the asymptotically self-similar behaviour of the adsorption statistics. |
first_indexed | 2024-03-06T23:19:46Z |
format | Journal article |
id | oxford-uuid:6857ef1a-a4e5-45ce-923e-049ba1402d13 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-06T23:19:46Z |
publishDate | 2006 |
record_format | dspace |
spelling | oxford-uuid:6857ef1a-a4e5-45ce-923e-049ba1402d132022-03-26T18:44:12ZDynamics of polydisperse irreversible adsorption: a pharmacological exampleJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6857ef1a-a4e5-45ce-923e-049ba1402d13EnglishSymplectic Elements at Oxford2006Erban, RChapman, JFisher, KKevrekidis, ISeymour, LMany drug delivery systems suffer from undesirable interactions with the host immune system. It has been experimentally established that covalent attachment (irreversible adsorption) of suitable macromolecules to the surface of the drug carrier can reduce such undesirable interactions. A fundamental understanding of the adsorption process is still lacking. In this paper, the classical random irreversible adsorption model is generalized to capture certain essential processes involved in pharmacological applications, allowing for macromolecules of different sizes, partial overlapping of the tails of macromolecules, and the influence of reactions with the solvent on the adsorption process. Working in one dimension, an integro-differential evolution equation for the adsorption process is derived and the asymptotic behaviour of the surface area covered and the number of molecules attached to the surface is studied. Finally, equation-free dynamic renormalization tools are applied to study the asymptotically self-similar behaviour of the adsorption statistics. |
spellingShingle | Erban, R Chapman, J Fisher, K Kevrekidis, I Seymour, L Dynamics of polydisperse irreversible adsorption: a pharmacological example |
title | Dynamics of polydisperse irreversible adsorption: a pharmacological
example |
title_full | Dynamics of polydisperse irreversible adsorption: a pharmacological
example |
title_fullStr | Dynamics of polydisperse irreversible adsorption: a pharmacological
example |
title_full_unstemmed | Dynamics of polydisperse irreversible adsorption: a pharmacological
example |
title_short | Dynamics of polydisperse irreversible adsorption: a pharmacological
example |
title_sort | dynamics of polydisperse irreversible adsorption a pharmacological example |
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