Concentration distribution around a growing gas bubble in tissue.

Autor: Mohammadein SA; Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt. selimali2009@yahoo.com, Mohamed KG
Jazyk: angličtina
Zdroj: Mathematical biosciences [Math Biosci] 2010 May; Vol. 225 (1), pp. 11-7. Date of Electronic Publication: 2010 Jan 18.
DOI: 10.1016/j.mbs.2010.01.003
Abstrakt: This paper presents the concentration distribution around a growing nitrogen gas bubble in the blood and other tissues of divers who surface too quickly, when the ambient pressure through the decompression process is variable and constant. This effort is a modification of Sirinivasan et al. model (1999) [9]. The mathematical model is solved analytically to find the growth rate of a gas bubble in a tissue after decompression in the ambient pressure. Moreover, the concentration distribution around the growing bubble is introduced. The growth process is affected by ascent rate alpha (t), tissue diffusivity D(T), initial concentration difference DeltaC(0), surface tension sigma and void fraction varphi(0).
(2010 Elsevier Inc. All rights reserved.)
Databáze: MEDLINE
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