Goldman Saul, Solano-Altamirano J M
Department of Chemistry, the Guelph-Waterloo Centre for Graduate Work in Chemistry and the Guelph-Waterloo Physics Institute University of Guelph, Guelph, Ontario N1G 2W1, Canada.
Math Biosci. 2015 Apr;262:1-9. doi: 10.1016/j.mbs.2015.01.001. Epub 2015 Jan 15.
We solved the Laplace equation for the radius of an arterial gas embolism (AGE), during and after breath-hold diving. We used a simple three-region diffusion model for the AGE, and applied our results to two types of breath-hold dives: single, very deep competitive-level dives and repetitive shallower breath-hold dives similar to those carried out by indigenous commercial pearl divers in the South Pacific. Because of the effect of surface tension, AGEs tend to dissolve in arterial blood when arteries remote from supersaturated tissue. However if, before fully dissolving, they reach the capillary beds that perfuse the brain and the inner ear, they may become inflated with inert gas that is transferred into them from these contiguous temporarily supersaturated tissues. By using simple kinetic models of cerebral and inner ear tissue, the nitrogen tissue partial pressures during and after the dive(s) were determined. These were used to theoretically calculate AGE growth and dissolution curves for AGEs lodged in capillaries of the brain and inner ear. From these curves it was found that both cerebral and inner ear decompression sickness are expected to occur occasionally in single competitive-level dives. It was also determined from these curves that for the commercial repetitive dives considered, the duration of the surface interval (the time interval separating individual repetitive dives from one another) was a key determinant, as to whether inner ear and/or cerebral decompression sickness arose. Our predictions both for single competitive-level and repetitive commercial breath-hold diving were consistent with what is known about the incidence of cerebral and inner ear decompression sickness in these forms of diving.
我们求解了屏气潜水期间及之后动脉气体栓塞(AGE)半径的拉普拉斯方程。我们针对AGE采用了一个简单的三区扩散模型,并将结果应用于两种屏气潜水类型:单次的、深度极大的竞技级潜水以及类似于南太平洋本土商业珍珠潜水员进行的重复性较浅屏气潜水。由于表面张力的作用,当动脉远离过饱和组织时,AGE往往会溶解于动脉血中。然而,如果在完全溶解之前,它们到达了灌注大脑和内耳的毛细血管床,它们可能会因从这些相邻的暂时过饱和组织转移而来的惰性气体而膨胀。通过使用大脑和内耳组织的简单动力学模型,确定了潜水期间及之后的氮组织分压。这些被用于从理论上计算滞留在大脑和内耳毛细血管中的AGE的生长和溶解曲线。从这些曲线发现,在单次竞技级潜水中,偶尔会发生大脑和内耳减压病。从这些曲线还确定,对于所考虑的商业重复性潜水,水面间隔时间(将各个重复性潜水彼此分开的时间间隔)是内耳和/或大脑减压病是否会出现的关键决定因素。我们对单次竞技级和重复性商业屏气潜水的预测与这些潜水形式中大脑和内耳减压病的已知发病率一致。