Concentration distribution around a growing gas bubble in tissue

Mathematical Biosciences

Volumn 225, Issue 1, 2010, Pages 11-17

  Mohammadein, S A ^a   Mohamed, K G ^b  

^a Tanta University   (Egypt)

^b BENHA UNIVERSITY   (Egypt)

Author keywords

Concentration distribution; Decompression sickness; Gas bubble; Growth; Method of combined variables

Indexed keywords

AMBIENT PRESSURES; ASCENT RATE; CONCENTRATION DISTRIBUTIONS; DECOMPRESSION SICKNESS; DIFFUSIVITIES; GAS BUBBLE; GROWTH PROCESS; INITIAL CONCENTRATION; NITROGEN GAS;

AVIATION MEDICINE; GASES; MATHEMATICAL MODELS; MICROCHANNELS; OCCUPATIONAL DISEASES; SURFACE TENSION; VOID FRACTION;

CONCENTRATION (PROCESS);

NITROGEN;

BLOOD; BUBBLE; DIFFUSIVITY; DIVING; GAS; NITROGEN; NUMERICAL MODEL; SURFACE TENSION;

ARTICLE; BLOOD LEVEL; CONCENTRATION (PARAMETERS); CONTROLLED STUDY; DECOMPRESSION SICKNESS; DIFFUSION; GAS BUBBLE; GROWTH RATE; MATERIAL STATE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRESSURE; SURFACE TENSION; TISSUE LEVEL;

DECOMPRESSION SICKNESS; DIFFUSION; HUMANS; MODELS, BIOLOGICAL; NITROGEN;

EID: 77951498658     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2010.01.003     Document Type: Article

References (12)

1. Davis J.R., Johnson R., Stepanek J., Fogarty J.A. Fundamentals of Aerospace Medicine 2008, Lippincott Williams & Wilkins.
2. Divinis N., et al. Bubbles growing in supersaturated solutions at reduced gravity. AIChE J. 2004, 50(10):2369.
3. Epstein P.S., Plesset M.S. On the stability of gas bubbles in liquid-gas solutions. J. Chem. Phys. 1950, 18:1505.
4. Hashemi S.J., Abedi J. Advances in modeling of new phase growth. J. Energy Fuels 2007, 21(4):2147.
5. M.A. Lang, N.E. Smith (Eds.), Proceedings of the Advanced Scientific Diving Workshop, February 23-24, 2006, Smithsonian Institution, Washington, DC, 2006, 277 p.
6. Lide David R. CRC Handbook of Chemistry and Physics 2005, CRC Press, Boca Raton, FL.
7. Mohammadein S.A., Gouda Sh.A. Temperature distribution in a mixture surrounding a growing vapour bubble. J. Heat Mass Transfer 2006, 42:359.
8. Srinivasan R.S., Gerth W.A., Powell M.R. A mathematical model of diffusion limited gas bubble dynamics in tissue with varying diffusion region thickness. Respir. Physiol. 2000, 123:153.
9. Srinivasan R.S., Gerth W.A., Powell M.R. Mathematical models of diffusion-limited gas bubble dynamics in tissue. J. Appl. Physiol. 1999, 86:732.
10. Tikuisis P., Gault K.A., Nishi R.Y. Prediction of decompression illness using bubble models. Undersea Hyperb. Med. 1994, 21:129.
11. Van Liew H.D., Burkard M.E. Density of decompression bubbles and competition for gas among bubbles, tissue and blood. J. Appl. Physiol. 1993, 75:2293.
12. Wienke B.R. Diving decompression models and bubble metrics: modern syntheses. Comput. Biol. Med. 2009, 39:309.