Sodium MRI measurement of ion convection-diffusion in swelling gels

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Abstract

Convection diffusion of ions plays a major role in munerous cellular processses in biology. A quadriphasic mixture model has been developed to model the coupling between diffusion, convection, swelling and deformation in gels and tissues. Sodium and hydrogen MRI is used to measure convection-diffusion of sodium ions in homogenous ionised gels subject to swelling. A sodium chloride concentration jump from 0.5 M to 0 M at the boundary of a pAA sample is applied. Subsequently, sodium and hydrogen levels are measured in the sample for 5 days. Then the boundary condition is reversed and measurement is continued for another 5 days. The quadriphasic mixture model is fitted to the experimental data to estimate the di??usion coefficient of sodium and chloride. The best fit results were obtained forDNa = 1:1510-5cm2=s and for DCl = 2:1510-5cm2=s. Different time constants were observed for the swelling and deswelling.
Original languageEnglish
Title of host publicationProceedings of the International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2007) 21-23 May 2007, Santa Eualia, Ibiza, Spain
EditorsB., Schrefler, E., Onate
Place of PublicationBarcelona
PublisherInternational Center for Numerical Methods in Engineering (CIMNE)
PagesMoM03-1/4
Publication statusPublished - 2007
EventInternational Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007) - Santa Eualia, Spain
Duration: 21 May 200723 May 2007

Conference

ConferenceInternational Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007)
Abbreviated titleCOUPLED 2007
Country/TerritorySpain
CitySanta Eualia
Period21/05/0723/05/07
OtherIntl. Conference on Computational Methods for Coupled Problems, CIMNE, Barcelona, Spain

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