1D Measurement of Sodium Ion Flow in Hydrogel After a Bath Concentration Jump

Annals of Biomedical Engineering
R W RoosJ M Huyghe

Abstract

NMR is used to measure sodium flow driven by a 1D concentration gradient inside poly-acrylamid (pAA) hydrogel. A sodium concentration jump from 0.5 M NaCl to 0 M NaCl is applied at the bottom of a cylindrical pAA sample. The sodium level and hydrogen level are measured as a function of time and position inside the sample for 5 days. Then a reversed step is applied, and ion flow is measured for another 5 days. During the measurement, the cylindrical sample is radially confined and allowed to swell in the axial direction. At the same time, sodium and moisture in the sample are measured on a 1D spatial grid in the axial direction. A quadriphasic mixture model (Huyghe and Janssen in Int J Eng Sci 35:793, 1997) is used to simulate the results and estimate the diffusion coefficient of sodium and chloride. The best fit results were obtained for D[Formula: see text] cm(2)/s and D[Formula: see text] cm(2)/s, at 25 degrees centigrade. Different time constants were observed for swelling and deswelling.

References

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Oct 19, 2001·Proceedings of the National Academy of Sciences of the United States of America·U DuvvuriJ S Leigh
May 19, 2004·Journal of Biomaterials Science. Polymer Edition·Cesare ManettiNicola Pescosolido
Apr 30, 2010·Physical Chemistry Chemical Physics : PCCP·Suresh Kumar VasaArno P M Kentgens
Aug 29, 2012·Biomechanics and Modeling in Mechanobiology·Reinder W RoosJacques M Huyghe
Aug 22, 2013·Journal of Biomechanics·Hendrik SchmidtAboulfazl Shirazi-Adl
Dec 24, 2013·Communications in Computational Physics·Jehanzeb Hameed ChaudhryLuke N Olson

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BETA
NMR

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Matlab

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