Numerical modeling of diffusion in extracellular space of biological cell clusters and tumors

2004 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2004

Volumn 1, Issue , 2004, Pages 151-154

  Berthier, J ^a   Rivera, F ^a   Caillat, P ^a  

^a CEA LETI   (France)

Author keywords

Cells; Diffusion; Extracellular space; Modeling; Tumor

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION; MATHEMATICAL MODELS; MONTE CARLO METHODS; POROUS MATERIALS; SURFACE TENSION; TUMORS;

DIFFUSION LENGTH; EXTRACELLULAR SPACES (ECS); MICROSYSTEMS;

CELLS;

EID: 6344258688     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. C. Nicholson and E. Sykova; "Extracellular space structure revealed by diffusion analysis," TINS; vol 21 no5; 207-215; 1998.
2. S. Ramanujan, A. Pluen, T. D. McKee, E. B. Brown, Y. Boucher, and R. K. Jain, "Diffusion and convection in collagen gels: implications for transport in the tumor interstitium," Biophys. J.; vol. 83; 1650-1660; 2002.
3. J. Lankelma, R. F. Luque, H. Dekker, W. Schinkel, and H. M. Pinedo, "A mathematical model of drug transport in human breast cancer," Microvascular Research; vol. 59; 149-161; 2000.
4. A. W. El-Kareh, S.L. Braunstein, T.W. Secomb. "Effect of cell arrangement and interstitial volume fraction on the diffusivity of monoclonal antibodies in tissue," Biophys. J.; vol. 64; 1638-1646; 1993.
5. A. M. Herneth, S. Guccione, M. Bednarski, "Apparent diffusion coefficient: a quantitative parameter for in vivo tumor characterization," European Journal of Radiology; vol 45, 208-213; 2003.
6. M. Martin, "Conséquences d'une irradiation ionisante sur la peau humaine," Clefs CEA, vol. 48, 53-55,2003.
7. K. C. Chen, and C. Nicholson, "Changes in brain cell shape create residual extracellular space volume and explain tortuosity behavior during osmotic challenge," Proc. Natl. Acad. Sci. USA; vol. 97, no 15; 8306-8311; 1999.
8. M. J. Saxton, "Lateral diffusion in an archipelago, the effect of mobile obstacles," Biophys. J.; vol. 52; 989-997; 1987.
9. J.J. Blum, G. Lawler, M. Reed, and I. Shin, "Effect of cytoskeletal geometry on intracellular diffusion," Biophys. J.; vol. 56, 995-1005;1989.
10. A. Szafer, J. Zhong, and J. C. Gore, "Theoretical model for water diffusion in tissues," Magnetics Resonance in Medecine; vol. 33 no5; 697-712; 1995.
11. K. A. Brakke, "The surface evolver," Experimental Mathematics, vol. 1, no2; 141-165; 1992.