Comparing dynamical systems concepts and techniques for biomechanical analysis

(整期优先)网络出版时间:2016-01-11
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Traditionalbiomechanicalanalysesofhumanmovementaregenerallyderivedfromlinearmathematics.Whilethesemethodscanbeusefulinmanysituations,theydonotdescribebehaviorsinhumansystemsthatarepredominatelynonlinear.Forthisreason,nonlinearanalysismethodsbasedonadynamicalsystemsapproachhavebecomemoreprevalentinrecentliterature.Theseanalysistechniqueshaveprovidednewinsightsintohowsystems(1)maintainpatternstability,(2)transitionintonewstates,and(3)aregovernedbyshort-andlong-term(fractal)correlationalprocessesatdifferentspatio-temporalscales.Thesedifferentaspectsofsystemdynamicsaretypicallyinvestigatedusingconceptsrelatedtovariability,stability,complexity,andadaptability.Thepurposeofthispaperistocompareandcontrastthesedifferentconceptsanddemonstratethat,althoughrelated,thesetermsrepresentfundamentallydifferentaspectsofsystemdynamics.Inparticular,wearguethatvariabilityshouldnotuniformlybeequatedwithstabilityorcomplexityofmovement.Inaddition,currentdynamicstabilitymeasuresbasedonnonlinearanalysismethods(suchasthefinitemaximalLyapunovexponent)canreveallocalinstabilitiesinmovementdynamics,butthedegreetowhichtheselocalinstabilitiesrelatetoglobalposturalandgaitstabilityandtheabilitytoresistexternalperturbationsremainstobeexplored.Finally,systematicstudiesareneededtorelateobservedreductionsincomplexitywithaginganddiseasetotheadaptivecapabilitiesofthemovementsystemandhowcomplexitychangesasafunctionofdifferenttaskconstraints.