Description 
1 online resource 
Series 
Lecture notes on mathematical modelling in the life sciences, 21934797 

Lecture notes on mathematical modelling in the life sciences, 21934797

Contents 
1. 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  Semidiscretization Method  Stability Radii: Some Mathematical Aspects  Index 
Summary 
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 nonspecialists 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 pointbypoint summary of the main concepts that have been established. A particularly useful numerical integration method for the DDEs that arise in balance control is semidiscretization. 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 biosystems, biomedical, mechanical and neural engineering 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed October 28, 2021) 
Subject 
Equilibrium (Physiology)  Mathematical models


Human mechanics  Mathematical models


Delay differential equations.


Delay differential equations.


Human mechanics  Mathematical models.


Equilibri (Fisiologia)


Models matemàtics.


Equacions diferencials retardades.

Genre/Form 
Electronic books

Form 
Electronic book

Author 
Milton, John, 1950 author.

ISBN 
9783030845827 

3030845826 
