Physiological interpretation of solute transport parameters for peritoneal dialysis.
Waniewski, Jacek (2001)
Journal of Theoretical Medicine
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Waniewski, Jacek (2001)
Journal of Theoretical Medicine
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Roman Cherniha, Joanna Stachowska-Piętka, Jacek Waniewski (2014)
International Journal of Applied Mathematics and Computer Science
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Bodnár, T., Sequeira, A. (2008)
Computational & Mathematical Methods in Medicine
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Rosar, M. E., Peskin, Charles S. (2001)
The New York Journal of Mathematics [electronic only]
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Anand, M., Rajagopal, K., Rajagopal, K.R. (2003)
Journal of Theoretical Medicine
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Stéphanie Salmon, Marc Thiriet, Jean-Frédéric Gerbeau (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Saccular aneurisms, swelling of a blood vessel, are investigated in order (i) to estimate the development risk of the wall lesion, before and after intravascular treatment, assuming that the pressure is the major factor, and (ii) to better plan medical interventions. Numerical simulations, using the finite element method, are performed in three-dimensional aneurisms. Computational meshes are derived from medical imaging data to take into account both between-subject and within-subject...
Sankar, D.S. (2010)
Mathematical Problems in Engineering
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Fotheringham, P., Gourlay, A.R., Mckee, S., Andrews, S. (2005)
Journal of Theoretical Medicine
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Baigent, Stephen, Unwin, Robert, Yeng, Chee Chit (2001)
Journal of Theoretical Medicine
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Fan, Xiaolin, Sun, Shuyu, Wei, Wei, Kou, Jisheng (2011)
Journal of Applied Mathematics
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Radek Fučík, Jiří Mikyška (2011)
Mathematica Bohemica
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In order to investigate effects of the dynamic capillary pressure-saturation relationship used in the modelling of a flow in porous media, a one-dimensional fully implicit numerical scheme is proposed. The numerical scheme is used to simulate an experimental procedure using a measured dataset for the sand and fluid properties. Results of simulations using different models for the dynamic effect term in capillary pressure-saturation relationship are presented and discussed.