Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems
 Responsibility
 Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors.
 Language
 English.
 Imprint
 Heidelberg ; New York : Springer, c2013.
 Physical description
 xx, 254 p. : ill. (some col.) ; 23 cm.
 Series
 Lecture notes in mathematics (SpringerVerlag) 2064.
 Lecture notes in mathematics (SpringerVerlag). Mathematical biosciences subseries.
Access
Available online
 www.springerlink.com
 dx.doi.org SpringerLink
Math & Statistics Library
Stacks
Call number  Status 

QA3 .L28 V.2064  Unknown 
More options
Creators/Contributors
 Contributor
 Batzel, Jerry J.
 Bachar, Mostafa.
 Kappel, F.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Theory
 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges / Jerry J. Batzel, Mostafa Bachar, John M. Karemaker, Franz Kappel
 Mathematical Modeling of Physiological Systems / Thomas Heldt, George C. Verghese, Roger G. Mark
 Parameter Selection Methods in Inverse Problem Formulation / H. T. Banks, Ariel CintrónArias, Franz Kappel
 Application of the Unscented Kalman Filtering to Parameter Estimation / Adam Attarian, Jerry J. Batzel, Brett Matzuka, Hien Tran
 Integrative and Reductionist Approaches to Modeling of Control of Breathing / Chung Tin, ChiSang Poon
 Parameter Identification in a Respiratory Control System Model with Delay / Ferenc Hartung, Janos Turi
 Practice
 Experimental Studies of Respiration and Apnea / Eugene N. Bruce
 Model Validation and Control Issues in the Respiratory System / James Duffin
 Experimental Studies of the Baroreflex / Clive M. Brown
 Development of Patient Specific Cardiovascular Models Predicting Dynamics in Response to Orthostatic Stress Challenges / Johnny T. Ottesen, Vera Novak, Mette S. Olufsen
 Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume / Karl Thomaseth, Jerry J. Batzel, Mostafa Bachar, Raffaello Furlan.
 Publisher's Summary
 This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascularrespiratory 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 sensitivitybased approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patientspecific model adaptation in the clinical setting, where data is typically limited.
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Subjects
Bibliographic information
 Publication date
 2013
 Series
 Lecture notes in mathematics ; 2064. Mathematical biosciences subseries
 Available in another form
 Online version: Mathematical modeling and validation in physiology. Heidelberg ; New York : Springer, c2013 ( 9783642328824 )
 ISBN
 3642328814
 9783642328817
 9783642328824 (electronic bk.)
 3642328822 (electronic bk.)