2009/07/07 by Tijana T. Ivancevic, Ivancevic, Tijana T.
Neuroscience · Physics and Astronomy · #Advanced Differential Geometry Research #Biological Physics (physics.bio-ph) #Classical Physics (physics.class-ph) #FOS: Physical sciences #Genetic Neurodegenerative Diseases
paper · pdf · doi:10.48550/arxiv.0907.1209
openalex publication_date 2009/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present the time-dependent generalization of an 'ordinary' autonomous human musculo-skeletal biomechanics. We start with the configuration manifold of human body, given as a set of its all active degrees of freedom (DOF). This is a Riemannian manifold with a material metric tensor given by the total mass-inertia matrix of the human body segments. This is the base manifold for standard autonomous biomechanics. To make its time-dependent generalization, we need to extend it with a real time axis. On this extended configuration space we develop time-dependent biomechanical Lagrangian dynamics, using derived jet spaces of velocities and accelerations, as well as the underlying geometric evolution of the mass-inertia matrix. Keywords: Human time-dependent biomechanics, configuration manifold, jet spaces, geometric evolution