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Mathematical Modeling of High G Protection Afforded by Various Anti-G Equipment and Techniques

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Lu H-B, Zhang L-F, Bai J, Liu X, Zhang G. Mathematical modeling of high G protection afforded by various anti-G equipment and techniques. Aviat Space Environ Med 2007; 78:100–109.

Background: It is difficult to assess how different combinations of recently developed anti-G protective equipment will affect +Gz tolerance and central hemodynamics during high G solely by centrifuge experiments. In this paper we report a mathematical model simulating the effects of various combinations on human circulatory response and +Gz tolerance, and its validation with published centrifuge data. Methods : A structurally based mechanistic model incorporating cardio-pulmonary function, as well as a more detailed modeling of vessel segments for different anatomic regions, was established to simulate hemodynamic responses during high-G exposure and the protection afforded by various protective modalities, such as tilt-back seats, extended coverage anti-G suits (ECGS), and positive pressure breathing for +Gz (PBG). Results : There were 43 pairs of human data from centrifuge trials and model outputs under the same or similar conditions that were compared. This comparison indicated that in 86% of cases the differences were less than 15%. From the model outputs, the best combinations which satisfied different protective needs, such as protection to +9 Gz, +10 Gz, and +12 Gz, respectively, could be discovered. They also suggested that while the combined protection of ECGS with PBG may be expressed as a simple addition of the two effects, the combined effect of the tilt-back seat with ECGS and/or PBG seemed to be better fitted by a synergistic model. Conclusions: Comparisons with published centrifuge data have suggested the validity and confidence of the model developed. The benefits and limitations of the model for future high-G physiology and protection are discussed.
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Keywords: +Gz tolerance; anti-G suit; extended coverage anti-G suit; high-G protection; mathematical model; positive pressure breathing for +Gz; reclining-back seat

Document Type: Research Article

Publication date: February 1, 2007

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