1986
DOI: 10.1002/polb.1986.090240214
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Solute and penetrant diffusion in swellable polymers. I. Mathematical modeling

Abstract: A mathematical model was developed to describe diffusion of a penetrant and a solute in a swellable polymer slab. The model was applied to the case of a hydrophilic polymer loaded with a soluble bioactive agent, in which the penetrant (water) is sorbed and solute is desorbed. The model allows the incorporation of any appropriate form of the diffusion coefficients. A Fujita‐type exponential dependence on penetrant concentration was chosen and shown to be adequate for prediction of a range of transport behavior.… Show more

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Cited by 245 publications
(149 citation statements)
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“…Although there is an abundance of data in the literature on the dissolution time of particles of ordinary solutions, there are no reported data on the dissolution time of polymeric particles of different sizes. There are also a number of publications on the dissolution of bioerodible hydrogels (Heller, 1978;Korsmeyer et al, 1986;Lee, 1987). However, the dissolution process of bioerodible hydrogels is essentially controlled by the molecular weight degradation rates.…”
Section: Experimental Validation Of the Modelmentioning
confidence: 99%
“…Although there is an abundance of data in the literature on the dissolution time of particles of ordinary solutions, there are no reported data on the dissolution time of polymeric particles of different sizes. There are also a number of publications on the dissolution of bioerodible hydrogels (Heller, 1978;Korsmeyer et al, 1986;Lee, 1987). However, the dissolution process of bioerodible hydrogels is essentially controlled by the molecular weight degradation rates.…”
Section: Experimental Validation Of the Modelmentioning
confidence: 99%
“…Lustig and Peppas [49] ( [52], to describe the transport of both the solvent ( i = 1 ) and the solute ( i = 3 ) within the polymeric network:…”
Section: Free Volume Theorymentioning
confidence: 99%
“…The free volume theory simplification originally proposed by Korsmeyer et al 18 utilizes coefficients /3, and which are material constants. The relative time scales for the penetrant sorption and solute release differ by the ratio of the solute diffusivity in the swollen gel, I)+, to the penetrant diffusivity in the swollen gel, Ill, s.…”
Section: Lomentioning
confidence: 99%