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Mathematical Biosciences Subseries

Mathematical Modeling and Validation in Physiology

Applications to the Cardiovascular and Respiratory Systems

Editors: Batzel, Jerry J., Bachar, Mostafa, Kappel, Franz (Eds.)

  • Focused study of modeling from model design to model identifiability and validation
  • Written by current leading experts in the field and including topics of current research interest in state of the art questions and methods
  • Focus on interdisciplinary (physiological and mathematical) collaboration and applications of modeling with clinical relevance
  • Presentation of key theoretical ideas and current areas of research interest through clear and motivated examples of application and implementation
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eBook $69.99
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  • ISBN 978-3-642-32882-4
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  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-32881-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this book

This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.

Table of contents (11 chapters)

  • Merging Mathematical and Physiological Knowledge: Dimensions and Challenges

    Batzel, Jerry J. (et al.)

    Pages 3-19

  • Mathematical Modeling of Physiological Systems

    Heldt, Thomas (et al.)

    Pages 21-41

  • Parameter Selection Methods in Inverse Problem Formulation

    Banks, H. T. (et al.)

    Pages 43-73

  • Application of the Unscented Kalman Filtering to Parameter Estimation

    Attarian, Adam (et al.)

    Pages 75-88

  • Integrative and Reductionist Approaches to Modeling of Control of Breathing

    Tin, Chung (et al.)

    Pages 89-103

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-642-32882-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.95
price for USA
  • ISBN 978-3-642-32881-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Modeling and Validation in Physiology
Book Subtitle
Applications to the Cardiovascular and Respiratory Systems
Editors
  • Jerry J. Batzel
  • Mostafa Bachar
  • Franz Kappel
Series Title
Mathematical Biosciences Subseries
Series Volume
2064
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-32882-4
DOI
10.1007/978-3-642-32882-4
Softcover ISBN
978-3-642-32881-7
Edition Number
1
Number of Pages
XX, 254
Number of Illustrations and Tables
49 b/w illustrations, 34 illustrations in colour
Topics