A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood.
Anand, M., Rajagopal, K., Rajagopal, K.R. (2003)
Journal of Theoretical Medicine
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Anand, M., Rajagopal, K., Rajagopal, K.R. (2003)
Journal of Theoretical Medicine
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Baigent, Stephen, Unwin, Robert, Yeng, Chee Chit (2001)
Journal of Theoretical Medicine
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Waniewski, Jacek (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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Guan, X., Segal, R.A., Shearer, M., Martonen, T.B. (2000)
Journal of Theoretical Medicine
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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...
Segal, R.A., Guan, X., Shearer, M., Martonen, T.B. (2000)
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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Shorten, Paul R., Wall, David J.N. (2001)
Journal of Theoretical Medicine
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David, T., de Groot, P.G., Walker, P.G. (2002)
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...