dorsal/arxiv
View SchemaDynamics of polydisperse irreversible adsorption: a pharmacological example
| Authors | Radek Erban, Jonathan Chapman, Kerry D. Fisher, Ioannis G. Kevrekidis, Leonard W. Seymour |
|---|---|
| Categories | |
| ArXiv ID | physics/0602001 |
| URL | https://arxiv.org/abs/physics/0602001 |
Abstract
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.
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"abstract": "Many drug delivery systems suffer from undesirable interactions with the host\nimmune system. It has been experimentally established that covalent attachment\n(irreversible adsorption) of suitable macromolecules to the surface of the drug\ncarrier can reduce such undesirable interactions. A fundamental understanding\nof the adsorption process is still lacking. In this paper, the classical random\nirreversible adsorption model is generalized to capture certain essential\nprocesses involved in pharmacological applications, allowing for macromolecules\nof different sizes, partial overlapping of the tails of macromolecules, and the\ninfluence of reactions with the solvent on the adsorption process. Working in\none dimension, an integro-differential evolution equation for the adsorption\nprocess is derived and the asymptotic behaviour of the surface area covered and\nthe number of molecules attached to the surface is studied. Finally,\nequation-free dynamic renormalization tools are applied to study the\nasymptotically self-similar behaviour of the adsorption statistics.",
"arxiv_id": "physics/0602001",
"authors": [
"Radek Erban",
"Jonathan Chapman",
"Kerry D. Fisher",
"Ioannis G. Kevrekidis",
"Leonard W. Seymour"
],
"categories": [
"physics.bio-ph",
"cond-mat.soft",
"physics.chem-ph"
],
"title": "Dynamics of polydisperse irreversible adsorption: a pharmacological example",
"url": "https://arxiv.org/abs/physics/0602001"
},
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