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...
| Main Authors: | , , , , |
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| Format: | Journal article |
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World Scientific
2007
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| _version_ | 1826291422859362304 |
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| author | Erban, R Chapman, S Fisher, K Kevrekidis, I Seymour, L |
| author_facet | Erban, R Chapman, S 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 behavior of the surface area covered and the number of molecules attached to the surface are studied. Finally, equation-free dynamic renormalization tools are applied to study the asymptotically self-similar behavior of the adsorption statistics. |
| first_indexed | 2024-03-07T02:59:09Z |
| format | Journal article |
| id | oxford-uuid:b059c7d4-3869-45ee-8ed2-9f6f941600df |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:59:09Z |
| publishDate | 2007 |
| publisher | World Scientific |
| record_format | dspace |
| spelling | oxford-uuid:b059c7d4-3869-45ee-8ed2-9f6f941600df2022-03-27T03:55:47ZDynamics of polydisperse irreversible adsorption: a pharmacological exampleJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b059c7d4-3869-45ee-8ed2-9f6f941600dfMathematical Institute - ePrintsWorld Scientific2007Erban, RChapman, SFisher, 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 behavior of the surface area covered and the number of molecules attached to the surface are studied. Finally, equation-free dynamic renormalization tools are applied to study the asymptotically self-similar behavior of the adsorption statistics. |
| spellingShingle | Erban, R Chapman, S 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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