Wienke B R
Applied Theoretical Physics Division, Los Alamos National Laboratory, NM 87545.
Undersea Biomed Res. 1989 Jan;16(1):53-89.
Mathematical models for inert gas transport and decompression are summarized. Both semi-infinite and finite media are treated, and resulting analytic expressions are obtained and compared against each other. One-dimensional plane and cylindrical geometries are considered, and limiting forms are explicitly detailed. Models are placed into three categories for discussion--bounded, bulk, and perfusion-diffusion. The intent is to collect treatments and techniques into one source for reference. Staging criteria, where appropriate to a model, are also included in the development. Bounded, bulk, and perfusion-diffusion models are described in supersaturation, statistical, and thermodynamic frameworks. Some strengths and weaknesses of deterministic and statistical models are noted. Today, models can be nested in hi-tech decomputers utilizing precision depth sensors and elapsed timers. The ability to solve equations and check criteria in an essentially continuous time mode imparts new dimensionality, enhancing capability and optimizing performance. However, there are limits on all computational models, both in theory and application, and herein we review range, physical correctness, and history of the algorithm.
总结了惰性气体传输和减压的数学模型。对半无限介质和有限介质都进行了处理，得到了相应的解析表达式并相互比较。考虑了一维平面和圆柱几何形状，并明确详细说明了极限形式。模型分为三类进行讨论——有界模型、整体模型和灌注扩散模型。目的是将各种处理方法和技术汇集在一个来源以供参考。在模型开发过程中，还包括了适用于模型的分期标准。有界模型、整体模型和灌注扩散模型在过饱和、统计和热力学框架下进行了描述。指出了确定性模型和统计模型的一些优点和缺点。如今，模型可以嵌套在利用精密深度传感器和计时装置的高科技减压计算机中。在基本连续的时间模式下求解方程和检查标准的能力赋予了新的维度，增强了能力并优化了性能。然而，所有计算模型在理论和应用方面都存在局限性，在此我们回顾了算法的范围、物理正确性和历史。
