Jet-Ricci geometry of time-dependent human biomechanics. (English) Zbl 1342.92028
Summary: We propose the time-dependent generalization of an “ordinary” autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. We introduce a general framework for time-dependent biomechanics in terms of jet manifolds derived from the extended musculo-skeletal configuration manifold. The corresponding Riemannian geometrical evolution follows the Ricci flow diffusion. In particular, we show that the exponential-like decay of total biomechanical energy (due to exhaustion of biochemical resources) is closely related to the Ricci flow on the biomechanical configuration manifold.
MSC:
| 92C10 | Biomechanics |
Keywords:
time-dependent biomechanics; extended configuration manifold; configuration bundle; jet manifolds; Ricci flow diffusionReferences:
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