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Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems (2013)

Contributor(s): Batzel, Jerry J (Editor), Bachar, Mostafa (Editor), Kappel, Franz (Editor)

ISBN: 9783642328817

Publisher: Springer

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Pub Date: December 14, 2012

Dewey: 570.285

Lexile Code: 0000

Features: Illustrated

Target Age Group: NA to NA

Physical Info: 0.60" H x 9.00" L x 6.00" W ( 0.85 lbs) 254 pages

Series: Lecture Notes in Mathematics

Descriptions, Reviews, etc.

Description: 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.

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