Concentration distribution around a growing gas bubble in tissue

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 α ˙ ( t ) , tissue diffusivity D T , initial concentration difference Δ C 0 , surface tension σ and void fraction ϕ 0 .