Construction of Mathematical Relationships and Software Implementation of a Simulation Model of the Behavior of Components of the Musculoskeletal System of a Person

Abstract

The article is devoted to the creation of a software tool for modelling the behaviour of the components of the musculoskeletal system using the example of segments of the spine using the Orne-Liu formalism. A system of differential equations is written that describes the movement of the components of the spine in the sagittal plane (up-down, forward-backward, rotation).A tool has been obtained that allows one to study the evolution of the centres of three vertebrae interconnected when applying standard exposure. The data obtained during the calculations can then be applied to the already developed three-dimensional model of the thoracic spine. In the future, a similar mathematical model can be applied to the entire spine, since the initial data for the cervical, thoracic and lumbar spine are calculated and can be used.