Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University, Seoul, 08826, Korea.
Brain Science Institute, Korea Institute of Science and Technology, Seoul, 02792, Korea.
Sci Rep. 2021 Jan 26;11(1):2198. doi: 10.1038/s41598-021-81722-6.
The principle of least effort has been widely used to explain phenomena related to human behavior ranging from topics in language to those in social systems. It has precedence in the principle of least action from the Lagrangian formulation of classical mechanics. In this study, we present a model for interceptive human walking based on the least action principle. Taking inspiration from Lagrangian mechanics, a Lagrangian is defined as effort minus security, with two different specific mathematical forms. The resulting Euler-Lagrange equations are then solved to obtain the equations of motion. The model is validated using experimental data from a virtual reality crossing simulation with human participants. We thus conclude that the least action principle provides a useful tool in the study of interceptive walking.
最小努力原则被广泛用于解释与人类行为相关的现象，从语言话题到社会系统话题都有涉及。它源自经典力学的拉格朗日表述中的最小作用量原理。在这项研究中，我们提出了一个基于最小作用量原理的人类截停行走模型。受到拉格朗日力学的启发，我们定义了一个拉格朗日量，它等于努力减去安全，有两种不同的具体数学形式。然后求解得到的欧拉-拉格朗日方程，以获得运动方程。该模型使用人类参与者虚拟现实穿越模拟的实验数据进行验证。因此，我们得出结论，最小作用量原理为截停行走研究提供了一个有用的工具。
