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The performance dynamic physiology model (DPM-PE) integrates a modified muscle fatigue model with an exercise physiology model that calculates the transport and delivery of oxygen to working muscles during exposures of oxygen-limiting environments. This mathematical model implements a number of physiologic processes (respiration, circulation, tissue metabolism, diffusion-limited gas transfer at the...
This paper deals with the multi-scale optimal control of transport-reaction systems with the underlying dynamics governed by the second order rigid body dynamics, coupled with the parabolic partial differential equations (PDEs) with time-varying spatial domains, developed by considering the first principles dynamical equations for continuum mechanics. A functional theory is employed to explore the...
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