A mathematical model of G time-tolerance.

We propose a model to explain experimentally observed effects of Gz onset rates and levels on the time of occurrence of loss of vision and/or consciousness. The model is based on the existence of two generally accepted parameters: a G limit beyond which cerebral perfusion ceases, and a buffer time between loss of perfusion and loss of function. When applied to ramp onset G profiles, the model predicts a generally hyperbolic locus of endpoints, similar to the well-known Stoll curve, except for the dip. The advantage of the model is its applicability to any G onset profile. Data from the literature support the assumptions of the model and its results, including the absence of the dip in the locus for a ramp onset. The results call into question some concepts used to design G avoidance inflight strategies and the usefulness of some experimental centrifuge methods. The model may enable an increase in the accuracy of predictions of the time of visual or cerebral loss of function under various G profiles.