Dataset for paper “An exact bone-wise kinematics of human hind+mid foot”
Description
Multi-line segment foot models propose a triple line segmentation into hindfoot, mid- foot and forefoot; oftentimes, the midfoot is regarded as a rigid line segment. We here present a purely kinematical model of the hind- and midfoot bone complex, regarded as a system of rigid blocks with perfect mutual constraints. To render the geometrical and kinematical complexity of the physical system, we have derived two interdependent systems of nonlinear algebraic equations: one system serves to locate the individual bones in space, the other to guarantee that such multiple location is done in a mutually compatible manner, in the fashion of an unbroken chain. The deformations we choose to consider are those of the foot per se, as if it were severed from the body or made to move passively in vivo, the talocrural joint being kept locked. In full generality, the mathematical problem we formulate defies any attempt to come up with a explicit analytical solution, although numerical solutions are certainly possible. However, we are able to illustrate the qualitative and quantitative descriptive capabilities of our bone-wise kinematical model of the hind+midfoot chain by progressively locking more and more of its joints. This document completes the title paper in that it includes the graphical and analytical information that is important to justify the modelling choices (in Sections 1, 2, and 3) and to exhibit the mathematical developments (in Sections 4, 5, and 6) there presented. The final Section 7 delineates the incremental problem to be solved if interested to find the path of the hind+mid foot chain on its configuration manifold.