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001440422 001__ 1440422
001440422 003__ OCoLC
001440422 005__ 20230309004602.0
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001440422 019__ $$a1280107717$$a1280197371$$a1287767559
001440422 020__ $$a9783030845827$$q(electronic bk.)
001440422 020__ $$a3030845826$$q(electronic bk.)
001440422 020__ $$z3030845818
001440422 020__ $$z9783030845810
001440422 0247_ $$a10.1007/978-3-030-84582-7$$2doi
001440422 035__ $$aSP(OCoLC)1280046787
001440422 040__ $$aYDX$$beng$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCF$$dDCT$$dOCLCO$$dOCLCQ$$dOCLCO$$dSFB$$dUKAHL$$dOCLCQ
001440422 049__ $$aISEA
001440422 050_4 $$aQP471
001440422 08204 $$a612.7/6015118$$223
001440422 1001_ $$aInsperger, T.$$q(Tamás)
001440422 24510 $$aDelay and uncertainty in human balancing tasks /$$cTamás Insperger, John Milton.
001440422 260__ $$aCham, Switzerland :$$bSpringer,$$c2021.
001440422 300__ $$a1 online resource
001440422 336__ $$atext$$btxt$$2rdacontent
001440422 337__ $$acomputer$$bc$$2rdamedia
001440422 338__ $$aonline resource$$bcr$$2rdacarrier
001440422 347__ $$atext file
001440422 347__ $$bPDF
001440422 4901_ $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001440422 504__ $$aIncludes bibliographical references and index.
001440422 5050_ $$a1. Introduction -- 2. Background -- 3. Pole Balancing at the Fingertip -- 4. Sensory Dead Zones: Switching Feedback -- 5. Microchaos in Balance Control -- 6. Postural Sway During Quiet Standing -- 7. Stability Radii and Uncertainty in Balance Control -- 8. Challenges for the Future -- References -- Semi-discretization Method -- Stability Radii: Some Mathematical Aspects -- Index.
001440422 506__ $$aAccess limited to authorized users.
001440422 520__ $$aThis book demonstrates how delay differential equations (DDEs) can be used to compliment the laboratory investigation of human balancing tasks. This approach is made accessible to non-specialists by comparing mathematical predictions and experimental observations. For example, the observation that a longer pole is easier to balance on a fingertip than a shorter one demonstrates the essential role played by a time delay in the balance control mechanism. Another balancing task considered is postural sway during quiet standing. With the inverted pendulum as the driver and the feedback control depending on state variables or on an internal model, the feedback can be identified by determining a critical pendulum length and/or a critical delay. This approach is used to identify the nature of the feedback for the pole balancing and postural sway examples. Motivated by the question of how the nervous system deals with these feedback control challenges, there is a discussion of "microchaotic" fluctuations in balance control and how robust control can be achieved in the face of uncertainties in the estimation of control parameters. The final chapter suggests some topics for future research. Each chapter includes an abstract and a point-by-point summary of the main concepts that have been established. A particularly useful numerical integration method for the DDEs that arise in balance control is semi-discretization. This method is described and a MATLAB template is provided. This book will be a useful source for anyone studying balance in humans, other bipedal organisms and humanoid robots. Much of the material has been used by the authors to teach senior undergraduates in computational neuroscience and students in bio-systems, biomedical, mechanical and neural engineering
001440422 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 28, 2021).
001440422 650_0 $$aEquilibrium (Physiology)$$xMathematical models.
001440422 650_0 $$aHuman mechanics$$xMathematical models.
001440422 650_0 $$aDelay differential equations.
001440422 650_6 $$aMécanique humaine$$xModèles mathématiques.
001440422 650_6 $$aÉquations différentielles à retard.
001440422 655_0 $$aElectronic books.
001440422 7001_ $$aMilton, John,$$d1950-$$eauthor.
001440422 77608 $$iPrint version: $$z3030845818$$z9783030845810$$w(OCoLC)1260193217
001440422 830_0 $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001440422 852__ $$bebk
001440422 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-84582-7$$zOnline Access$$91397441.1
001440422 909CO $$ooai:library.usi.edu:1440422$$pGLOBAL_SET
001440422 980__ $$aBIB
001440422 980__ $$aEBOOK
001440422 982__ $$aEbook
001440422 983__ $$aOnline
001440422 994__ $$a92$$bISE