2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165082This paper presents the scientific body of knowledge behind the Human Biodynamics Engine (HBE), a human motion simulator developed on the concept of Euclidean motion group SE(3), with 270 active degrees of freedom, force-velocity-time muscular mechanics and two-level neural control - formulated in the fashion of nonlinear humanoid robotics. The following aspects of the HBE development are described: geometrical, dynamical, control, physiological, AI, behavioral and complexity, together with several simulation examples. Keywords: Human Biodynamics Engine, Euclidean SE(3)-group, Lagrangian/Hamiltonian biodynamics, Lie-derivative control, muscular mechanics, fuzzy-topological coordination, biodynamical complexity, validation, application20 pages, 11 figures, LatexOther Quantitative BiologyQuantitative Methodstext