A Comprehensive Mathematical Model of the Cardiovascular System under Time-Dependent Acceleration Stress.
Final technical rept.,
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In this study a comprehensive mathematical model of the cardiovascular system under time-dependent accelerations is developed. Recently developed high performance aircraft would expose the human body to acceleration injury if appropriate life-supporting devies are not incorporated in the design. To aid in the construction of desirable life support systems for aerospace maneuvers, the deformation of the arterial and venous segments under dynamic fluid loads caused by blood pooling during GZ acceleration are calculated. Linearized Navier-Stokes equations for blood flow and equations of large elastic deformation theory for blood vessel deformations are used. The resulting nonlinear partial differential equations are solved numerically.