Validity of the simulation model of the human biomechanical system

D. V. Gorbunov^ab, S. G. Elovoi<sup>ab

a</sup> Surgut Branch of Scientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”, Surgut, Russian Federation
^b Surgut State University, Surgut, Russian Federation

Abstract: An effective approach to studying complex systems is the use of simulation models. We developed a model of the human biomechanical system based on differential equations with a discontinuous right-hand side. This approach was required because reproducing the chaotic dynamics of voluntary and involuntary movements cannot be achieved with deterministic or stochastic methods due to the complexity of the subsystem under study.
We also noted that validating such models is difficult when using standard methods in the classical interpretation of calculation results, since chaotic dynamics complicate direct comparisons. Therefore, we demonstrated an approach to validating the model that applies standard methods while accounting for chaotic dynamics in the outputs of both real and simulated systems.
Our validation showed that the proposed simulation model is valid, and its results can be used for further research in which tremor is a significant and integral component.

Keywords: tremor, tapping, simulation model, model validity, validity verification methods.