Description 
1 online resource 
Series 
Lecture notes in mathematics ; 2064 

Lecture notes in mathematics (SpringerVerlag) ; 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 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 

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 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 
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.) 
