A least action principle for interceptive walking
Abstract 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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-01-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-81722-6 |
| _version_ | 1818344775131070464 |
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| author | Soon Ho Kim Jong Won Kim Hyun Chae Chung MooYoung Choi |
| author_facet | Soon Ho Kim Jong Won Kim Hyun Chae Chung MooYoung Choi |
| author_sort | Soon Ho Kim |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-12-13T16:51:50Z |
| format | Article |
| id | doaj.art-7df849a763224faba96b55cf2fda2896 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-13T16:51:50Z |
| publishDate | 2021-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-7df849a763224faba96b55cf2fda28962022-12-21T23:38:00ZengNature PortfolioScientific Reports2045-23222021-01-011111710.1038/s41598-021-81722-6A least action principle for interceptive walkingSoon Ho Kim0Jong Won Kim1Hyun Chae Chung2MooYoung Choi3Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National UniversityDepartment of Healthcare Information Technology, Inje UniversityDepartment of Sport and Exercise Sciences, Kunsan National UniversityDepartment of Physics and Astronomy and Center for Theoretical Physics, Seoul National UniversityAbstract 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.https://doi.org/10.1038/s41598-021-81722-6 |
| spellingShingle | Soon Ho Kim Jong Won Kim Hyun Chae Chung MooYoung Choi A least action principle for interceptive walking Scientific Reports |
| title | A least action principle for interceptive walking |
| title_full | A least action principle for interceptive walking |
| title_fullStr | A least action principle for interceptive walking |
| title_full_unstemmed | A least action principle for interceptive walking |
| title_short | A least action principle for interceptive walking |
| title_sort | least action principle for interceptive walking |
| url | https://doi.org/10.1038/s41598-021-81722-6 |
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