Theoretical study of possible solutions for addressing the kinetic redundancy in lumbar spine by central nervous system

This is mainly achieved by the way that central nervous system [CNS] uses the redundancy in musculoskeletal system. The kinetic redundancy in human musculoskeletal systems is a significant property by which central nervous system achieves many complementary goals. In this study, by explaining the definition and role of uncontrolled manifold for movement kinematics, the kinetic redundancy concept is explored in mathematical terms. The null space of the kinetically redundant system when certain joint moment and/or stiffness are needed is derived and discussed. In this paper, the mathematical methods have been developed for a simpler planar biomechanical model with 3 muscles in which the explained concepts have been utilized

uncontrollend manifold theorem

The Uncontrolled Manifold theorem is an important concept in biomechanics studies, specially in determining the variable which is controlled by the central nervous system in a task. Beyond the explanation of the Uncontrolled Manifold theorem in this article, it is compared to the same theorems in its field. Various applications of this concept are presented according to the investigations of the creators of this theorem. Some related examples are presented and the discussion on the controlled variable is provided by means of this theorem