Mathematical Modeling of Neural Impulse Signal Transmission and Biomechanical Dynamics

We present a mathematical model and algebraic equations for the dynamic structural analysis of the human musculoskeletal system, including the arms, muscles, and tendons. This analysis incorporates neural impulse signal transmission and other functions of the human musculoskeletal system. The intricate machinery of the human body, spanning from neurons to organs, provides a fundamental basis for the study of larger, complex systems such as human-like robotic systems. To examine the detailed movements of individual muscle groups, mathematical modeling of artificial arms is essential to understand the signal transmission system and the overall mechanism governing the arm bones in the musculoskeletal system. In this paper, we simulate the neural signal transmission system using algebraic equations and explore the model and significance of artificial arms that can be integrated into human-like robots. Our simulation results demonstrate that neural signals can be transmitted as computational values, specifically transitions between 0 and 1, in the context of human-like robot modeling. Furthermore, this paper provides a mathematical framework to demonstrate that nerve transmission signals act as physical forces, manifesting as electric signals or energy forms akin to human nerve signals. Ultimately, this research represents foundational mathematical modeling that could contribute to the development of robots capable of mimicking human movement, driven by the completion of force or energy transmission via neural impulse pathways within the human musculoskeletal system.