Mathematical modeling of controlled release from a hollow fiber

Ritesh Ramraj; Stephanie Farrell; Norman W. Loney

doi:10.1016/S0376-7388(99)00124-6

Mathematical modeling of controlled release from a hollow fiber

Ritesh Ramraj, Stephanie Farrell, Norman W. Loney

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The closed form solution to a mathematical model of a cylindrical membrane device successfully predicts the release profile of benzoic acid. Physically the device consists of a given concentration of benzoic acid in octanol or decanol, bounded by a nylon porous hollow fiber with water-filled pores. The prediction shows excellent agreement with the experimentally derived release profile from two different systems. In comparison to the experimentally derived release profile, the benzoic acid/octanol system prediction gives a maximum relative difference of <5%, and a 3% maximum relative difference in the benzoic acid/decanol case. Predicted results are obtained from the use of the steady state plus the first term of the transient solution (infinite series) and with the use of the first nonzero eigenvalue. Copyright (C) 1999 Elsevier Science B.V.

Original language	English (US)
Pages (from-to)	73-81
Number of pages	9
Journal	Journal of Membrane Science
Volume	162
Issue number	1-2
DOIs	https://doi.org/10.1016/S0376-7388(99)00124-6
State	Published - Sep 1 1999
Externally published	Yes

All Science Journal Classification (ASJC) codes

Biochemistry
General Materials Science
Physical and Theoretical Chemistry
Filtration and Separation

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10.1016/S0376-7388(99)00124-6

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title = "Mathematical modeling of controlled release from a hollow fiber",

abstract = "The closed form solution to a mathematical model of a cylindrical membrane device successfully predicts the release profile of benzoic acid. Physically the device consists of a given concentration of benzoic acid in octanol or decanol, bounded by a nylon porous hollow fiber with water-filled pores. The prediction shows excellent agreement with the experimentally derived release profile from two different systems. In comparison to the experimentally derived release profile, the benzoic acid/octanol system prediction gives a maximum relative difference of <5%, and a 3% maximum relative difference in the benzoic acid/decanol case. Predicted results are obtained from the use of the steady state plus the first term of the transient solution (infinite series) and with the use of the first nonzero eigenvalue. Copyright (C) 1999 Elsevier Science B.V.",

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T1 - Mathematical modeling of controlled release from a hollow fiber

AU - Ramraj, Ritesh

AU - Farrell, Stephanie

AU - Loney, Norman W.

PY - 1999/9/1

Y1 - 1999/9/1

N2 - The closed form solution to a mathematical model of a cylindrical membrane device successfully predicts the release profile of benzoic acid. Physically the device consists of a given concentration of benzoic acid in octanol or decanol, bounded by a nylon porous hollow fiber with water-filled pores. The prediction shows excellent agreement with the experimentally derived release profile from two different systems. In comparison to the experimentally derived release profile, the benzoic acid/octanol system prediction gives a maximum relative difference of <5%, and a 3% maximum relative difference in the benzoic acid/decanol case. Predicted results are obtained from the use of the steady state plus the first term of the transient solution (infinite series) and with the use of the first nonzero eigenvalue. Copyright (C) 1999 Elsevier Science B.V.

AB - The closed form solution to a mathematical model of a cylindrical membrane device successfully predicts the release profile of benzoic acid. Physically the device consists of a given concentration of benzoic acid in octanol or decanol, bounded by a nylon porous hollow fiber with water-filled pores. The prediction shows excellent agreement with the experimentally derived release profile from two different systems. In comparison to the experimentally derived release profile, the benzoic acid/octanol system prediction gives a maximum relative difference of <5%, and a 3% maximum relative difference in the benzoic acid/decanol case. Predicted results are obtained from the use of the steady state plus the first term of the transient solution (infinite series) and with the use of the first nonzero eigenvalue. Copyright (C) 1999 Elsevier Science B.V.

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Mathematical modeling of controlled release from a hollow fiber

Abstract

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