Sodium MRI measurement of ion convection-diffusion in swelling gels

J.M.R.J. Huyghe; R.W. Roos; H.P. Huinink; L. Pel

Sodium MRI measurement of ion convection-diffusion in swelling gels

J.M.R.J. Huyghe
, R.W. Roos
, H.P. Huinink
, L. Pel

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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 language	English
Title of host publication	Proceedings 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
Editors	B., Schrefler, E., Onate
Place of Publication	Barcelona
Publisher	International Center for Numerical Methods in Engineering (CIMNE)
Pages	MoM03-1/4
Publication status	Published - 2007
Event	International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007) - Santa Eualia, Spain Duration: 21 May 2007 → 23 May 2007

Conference

Conference	International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007)
Abbreviated title	COUPLED 2007
Country/Territory	Spain
City	Santa Eualia
Period	21/05/07 → 23/05/07
Other	Intl. Conference on Computational Methods for Coupled Problems, CIMNE, Barcelona, Spain

Cite this

Huyghe, J. M. R. J., Roos, R. W., Huinink, H. P., & Pel, L. (2007). Sodium MRI measurement of ion convection-diffusion in swelling gels. In B. . Schrefler, & E. . Onate (Eds.), Proceedings 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 (pp. MoM03-1/4). International Center for Numerical Methods in Engineering (CIMNE).

Huyghe, J.M.R.J. ; Roos, R.W. ; Huinink, H.P. et al. / Sodium MRI measurement of ion convection-diffusion in swelling gels. Proceedings 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. editor / B., Schrefler ; E., Onate. Barcelona : International Center for Numerical Methods in Engineering (CIMNE), 2007. pp. MoM03-1/4

@inproceedings{24a3d20e12994c1a995dcac08ce1d8b0,

title = "Sodium MRI measurement of ion convection-diffusion in swelling gels",

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.",

author = "J.M.R.J. Huyghe and R.W. Roos and H.P. Huinink and L. Pel",

year = "2007",

language = "English",

pages = "MoM03--1/4",

editor = "B., Schrefler and E., Onate",

booktitle = "Proceedings 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",

publisher = "International Center for Numerical Methods in Engineering (CIMNE)",

note = "International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007), COUPLED 2007 ; Conference date: 21-05-2007 Through 23-05-2007",

}

Huyghe, JMRJ, Roos, RW, Huinink, HP & Pel, L 2007, Sodium MRI measurement of ion convection-diffusion in swelling gels. in B Schrefler & E Onate (eds), Proceedings 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. International Center for Numerical Methods in Engineering (CIMNE), Barcelona, pp. MoM03-1/4, International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007), Santa Eualia, Spain, 21/05/07.

Sodium MRI measurement of ion convection-diffusion in swelling gels. / Huyghe, J.M.R.J.; Roos, R.W.; Huinink, H.P. et al.
Proceedings 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. ed. / B., Schrefler; E., Onate. Barcelona: International Center for Numerical Methods in Engineering (CIMNE), 2007. p. MoM03-1/4.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Sodium MRI measurement of ion convection-diffusion in swelling gels

AU - Huyghe, J.M.R.J.

AU - Roos, R.W.

AU - Huinink, H.P.

AU - Pel, L.

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

M3 - Conference contribution

SP - MoM03-1/4

BT - Proceedings 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

A2 - Schrefler, B.,

A2 - Onate, E.,

PB - International Center for Numerical Methods in Engineering (CIMNE)

CY - Barcelona

T2 - International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED 2007)

Y2 - 21 May 2007 through 23 May 2007

ER -

Huyghe JMRJ, Roos RW, Huinink HP , Pel L. Sodium MRI measurement of ion convection-diffusion in swelling gels. In Schrefler B, Onate E, editors, Proceedings 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. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 2007. p. MoM03-1/4

Sodium MRI measurement of ion convection-diffusion in swelling gels

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