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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Anand, M., Rajagopal, K., Rajagopal, K.R. (2003)
Journal of Theoretical Medicine
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Bodnár, T., Sequeira, A. (2008)
Computational & Mathematical Methods in Medicine
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M.ª Isabel Asensio, Luis Ferragut, Jacques Simon (2002)
RACSAM
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We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.
Kumar, Vineet, Pandey, R.N., Upadhyay, S.N. (2000)
Mathematical Problems in Engineering
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Jaroslav Hron, Maria Neuss-Radu, Petra Pustějovská (2011)
Applications of Mathematics
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In this paper, we propose a mathematical model for flow and transport processes of diluted solutions in domains separated by a leaky semipermeable membrane. We formulate transmission conditions for the flow and the solute concentration across the membrane which take into account the property of the membrane to partly reject the solute, the accumulation of rejected solute at the membrane, and the influence of the solute concentration on the volume flow, known as osmotic effect. The model...
Roman Cherniha, Joanna Stachowska-Piętka, Jacek Waniewski (2014)
International Journal of Applied Mathematics and Computer Science
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El-Amin, M.F., Sun, Shuyu (2011)
Journal of Applied Mathematics
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Baigent, Stephen, Unwin, Robert, Yeng, Chee Chit (2001)
Journal of Theoretical Medicine
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Eberl, Hermann J., Khassehkhan, Hassan, Demaret, Laurent (2010)
Computational & Mathematical Methods in 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...