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Related Experiment Videos

Tissue gas exchange models and decompression computations: a review.

B R Wienke1

  • 1Applied Theoretical Physics Division, Los Alamos National Laboratory, NM 87545.

Undersea Biomedical Research
|January 1, 1989
PubMed
Summary

This study summarizes mathematical models for inert gas transport and decompression, comparing analytical expressions for various geometries and model types. It highlights the integration of computational tools for enhanced performance while acknowledging theoretical and practical limitations.

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Area of Science:

  • Physiology
  • Biophysics
  • Applied Mathematics

Background:

  • Inert gas transport and decompression are critical in diving and hyperbaric medicine.
  • Existing mathematical models vary in complexity and applicability.
  • A unified reference for these models is needed for accurate physiological assessments.

Purpose of the Study:

  • To comprehensively summarize and categorize mathematical models for inert gas transport and decompression.
  • To compare analytical solutions derived from different model assumptions and geometries.
  • To provide a consolidated reference for researchers and practitioners in hyperbaric sciences.

Main Methods:

  • Review and categorization of existing mathematical models (bounded, bulk, perfusion-diffusion).

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  • Derivation and comparison of analytical expressions for semi-infinite and finite media.
  • Consideration of one-dimensional plane and cylindrical geometries.
  • Inclusion of staging criteria and discussion of model frameworks (supersaturation, statistical, thermodynamic).

    • Main Results:

    • Analytical expressions were obtained and compared for various inert gas transport and decompression models.
    • Models were categorized and discussed within different theoretical frameworks.
    • Strengths and weaknesses of deterministic and statistical models were noted.
    • The impact of modern computational approaches on model application was assessed.

    Conclusions:

    • A comprehensive overview of inert gas transport and decompression models is presented.
    • Modern computational methods enhance model application but have inherent limitations.
    • This work serves as a valuable reference for understanding and applying these complex physiological models.