Delay and Uncertainty in Human Balancing Tasks (Paperback)
Language: English
Published by Springer Nature Switzerland AG, Cham, 2021
Series: Book 17 of 17 - Lecture Notes on Mathematical Modelling in the Life Sciences
- First Edition
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
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Condition: New
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Paperback. This 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9783030845810
- Title
- Delay and Uncertainty in Human Balancing Tasks (Paperback)
- Author
- John Milton
- Publisher
- Springer Nature Switzerland AG, Cham
- Publication year
- 2021
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3030845818
- ISBN 13
- 9783030845810
- Edition
- 1st Edition
- Series
- Book 17 of 17: Lecture Notes on Mathematical Modelling in the Life Sciences
This 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.
"Synopsis" may belong to another edition of this title.
About the Author
John Milton is a professor of computational neuroscience at The Claremont Colleges. He has authored three books: “Mathematics as a Laboratory tool: Dynamics, delays and noise” with Toru Ohira, “Epilepsy as a dynamic disease” with Peter Jung and “Dynamics of small neural populations”.
"About the title" may belong to another edition of this title.
Grand Eagle Retail
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