A CFD level-set method for soft tissue growth: Theory and fundamental equations

Journal of Biomechanics

Volumn 38, Issue 1, 2005, Pages 185-190

  Lappa, Marcello ^a,b  

^a MARS srl   (Italy)

^b San Giorgio ^*  (Italy)

Author keywords

Fluid motion; Growth kinetics; Mathematical models; Morphology evolution; Moving boundary method; Rotating vessel; Tissue Engineering

Indexed keywords

BIOREACTORS; COMPUTATIONAL FLUID DYNAMICS; HEAT CONVECTION; SOLUTIONS;

ORGANIC SPECIMEN; TISSUE GROWTH;

TISSUE;

ARTICLE; BIOREACTOR; DYNAMICS; FLUID FLOW; PRIORITY JOURNAL; SOFT TISSUE; THERMODYNAMICS; TISSUE ENGINEERING; TISSUE GROWTH;

GROWTH; HUMANS; KINETICS; MODELS, BIOLOGICAL; TISSUE ENGINEERING;

EID: 7044251624     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2004.02.037     Document Type: Article

References (16)

1. Bennon W.D., Incropera F.P. A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems-I. Model formulation. International Journal of Heat and Mass Transfer. 30(10):1987;2161-2170
2. Chen S., Merriman B., Osher S., Smereka P. A simple level set method for solving Stefan problems. Journal of Computational Physics. 135(1):1997;8-29
3. Gueyffier D., Li J., Nadim A., Scardovelli S., Zaleski S. Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows. Journal of Computational Physics. 152:1999;423-456
4. Hammond T.G., Hammond J.M. Optimized suspension culture. the rotating-wall vessel American Journal of Physiology Renal Physiology. 281:2001;F12-F25
5. Hirt C.W., Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of Computational Physics. 39:1981;201-218
6. Lappa M. The growth and the fluid-dynamics of protein crystals and soft organic tissues. models and simulations, similarities and differences Journal of Theoretical Biology. 224/2:2003;225-240
7. Lappa M. An 'attachment-kinetics-based' volume of fraction method for organic crystallization. a fluid-dynamic approach to macromolecular crystal engineering Journal of Computational Physics. 191(1):2003;97-129
8. Lappa M. Growth and mutual interference of protein seeds under reduced gravity conditions. Physics of Fluids. 15(4):2003;1046-1057. This article has been also selected by the American Physical Society for the 15 March 2003 issue of the Virtual Journal of Biological Physics Research (Volume 5, Issue 6)
9. Lappa M. Organic tissues in rotating bioreactors. fluid-mechanical aspects, dynamic growth models and morphological evolution Biotechnology & Bioengineering. 84(5):2003;518-532
10. Obradovic B., Meldon J.H., Freed L.E., Vunjak-Novakovic G. Glycosaminoglycan deposition in engineered cartilage. experiments and mathematical model AIChE Journal. 46(9):2000;1860-1871
11. Osher S., Fedkiw R. The Level Set Method and Dynamic Implicit Surfaces. 2002;Springer, New York
12. Osher S., Sethian J.A. Fronts propagating with curvature-dependent speed. Algorithms based on Hamilton-Jacobi formulations Journal of Computational Physics. 79:1988;12-49
13. Rider W.J., Kothe D.B. Reconstructing volume tracking. Journal of Computational Physics. 141:1998;112-152
14. Taber L.A. Biomechanical growth laws for muscle tissue. Journal of Theoretical Biology. 193:1998;201-213
15. Sethian J. Level-Set Methods and Fast Marching Methods. 1999;Cambridge University Press, Cambridge
16. Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. Journal of Computational Physics. 114:1994;146-159