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...

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Main Authors:	Soon Ho Kim, Jong Won Kim, Hyun Chae Chung, MooYoung Choi
Format:	article
Language:	EN
Published:	Nature Portfolio 2021
Subjects:	Medicine R Science Q
Online Access:	https://doaj.org/article/7df849a763224faba96b55cf2fda2896
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spelling	oai:doaj.org-article:7df849a763224faba96b55cf2fda28962021-12-02T14:16:06ZA least action principle for interceptive walking10.1038/s41598-021-81722-62045-2322https://doaj.org/article/7df849a763224faba96b55cf2fda28962021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81722-6https://doaj.org/toc/2045-2322Abstract 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.Soon Ho KimJong Won KimHyun Chae ChungMooYoung ChoiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Soon Ho Kim Jong Won Kim Hyun Chae Chung MooYoung Choi A least action principle for interceptive walking
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.
format	article
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
title	A least action principle for interceptive walking
title_short	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_sort	least action principle for interceptive walking
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/7df849a763224faba96b55cf2fda2896
work_keys_str_mv	AT soonhokim aleastactionprincipleforinterceptivewalking AT jongwonkim aleastactionprincipleforinterceptivewalking AT hyunchaechung aleastactionprincipleforinterceptivewalking AT mooyoungchoi aleastactionprincipleforinterceptivewalking AT soonhokim leastactionprincipleforinterceptivewalking AT jongwonkim leastactionprincipleforinterceptivewalking AT hyunchaechung leastactionprincipleforinterceptivewalking AT mooyoungchoi leastactionprincipleforinterceptivewalking
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A least action principle for interceptive walking

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