On modelling the parallel diffusion flow in deforming porous media

Mathematics and Computers in Simulation

Volumn 76, Issue 1-3, 2007, Pages 34-43

  Cimrman, Robert ^a   Rohan, Eduard ^a  

^a UNIVERSITY OF WEST BOHEMIA   (Czech Republic)

Author keywords

Darcy flow; Heart modelling; Kidney modelling; Parallel diffusion

Indexed keywords

BIOLOGICAL ORGANS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NUMERICAL METHODS; POROUS MATERIALS; VISCOELASTICITY;

DEFORMABLE POROUS MEDIA; HEART MODELING; HEART MUSCLE BLOOD PERFUSION; PARALLEL DIFFUSION;

FLOW OF FLUIDS;

EID: 34848886826     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2007.01.034     Document Type: Article

References (14)

1. Barenblatt G., Entov V., and Ryzhik V. Theory of Fluid Flows Through Natural Rocks (1990), Kluwer Academic Publishers, Dordrecht
2. Campen D.H., Huyghe J.M., Bovendeerd P.H.M., and Arts T. Biomechanics of the heart muscle. Eur. J. Mech. A: Solids 13 4 (1994) 19-41
3. R. Cimrman, E. Rohan, Modelling heart tissue using a composite muscle model with blood perfusion. In: K. Bathe (Ed.), Computational Fluid and Solid Mechanics 2003, Proceedings of the Second MIT Conference. Elsevier Science, 2003, pp. 1642-1646.
4. de Boer R. Theory of Porous Media (2000), Springer
5. Ene H., and Poliševski D. Model of diffusion in partially fissured media. Z. Angew. Math. Phys. 53 (2002) 1052-1059
6. Guyton A., and Hall J. Textbook of Medical Physiology (1995), W.B. Saunders Company, Philadelphia
7. Hornung U. Homogenization and Porous Media (1997), Springer-Verlag, Berlin
8. Huyghe J.M., and Campen D.H. Finite deformation theory of hierarchically arranged porous solids: I. Balance of mass and momentum. Int. J. Eng. Sci. 33 13 (1995) 1861-1871
9. Maršík F., and Převorovská S. Biological application of irreversible thermodynamics-human cardiovascular system and bone remodelling. Proceedings of Biomechanics of Man. Špičák (2004)
10. Rohan E. On homogenization of the double diffusion problem in deforming porous media. Proceedings of the 19th Conference on Computational Mechanics. Nečtiny (2003) 389-396
11. Rohan E., and Cimrman R. Sensitivity analysis and material identification for activated smooth muscle. Comput. Assisted Mechanics Eng. Sci. 9 (2002) 519-541
12. R.E. Showalter, D.B. Visarraga, Double-diffusion models from a highly heterogeneous medium, Technical Report, Institute for Computational Engineering and Sciences, The University of Texas at Austin (2002).
13. Simo J., and Hughes T. Computational Inelasticity (1998), Springer-Verlag, Berlin
14. van Donkelaar C., Huyghe J., Vankan W., and Drost M. Spatial interaction between tissue pressure and skeletal muscle perfusion during contraction. J. Biomech. 5 34 (2001) 631-637