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Title Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems / Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors
Published Heidelberg ; New York : Springer, [2013]
©2013
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Description 1 online resource
Series Lecture notes in mathematics ; 2064
Lecture notes in mathematics (Springer-Verlag) ; 2064
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 Cintrón-Arias, 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, Chi-Sang 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
1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges -- 2 Mathematical Modeling of Physiological Systems -- 3 Parameter Selection Methods in Inverse Problem Formulation.- 4 Application of the Unscented Kalman Filtering to Parameter Estimation -- 5 Integrative and Reductionist Approaches to Modeling of Control of Breathing -- 6 Parameter Identification in a Respiratory Control System Model with Delay -- 7 Experimental Studies of Respiration and Apnea -- 8 Model Validation and Control Issues in the Respiratory System -- 9 Experimental Studies of the Baroreflex -- 10 Development of Patient Specific Cardiovascular Models Predicting Dynamics in Response to Orthostatic Stress Challenges -- 11 Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume
Summary 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Human physiology -- Mathematical models.
Cardiovascular system -- Mathematical models.
Respiratory organs -- Mathematical models.
Cardiovascular Physiological Phenomena.
Respiratory Physiological Phenomena.
Models, Theoretical.
Form Electronic book
Author Batzel, Jerry J.
Bachar, Mostafa.
Kappel, F.
LC no. 2012951624
ISBN 3642328822 (electronic bk.)
9783642328824 (electronic bk.)