Mathematical modeling and validation in physiology applications to the cardiovascular and respiratory systems Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors

Format:

Book

Contributor:

Batzel, Jerry J.

Bachar, Mostafa

Kappel, F.

Series:

Lecture notes in mathematics (Springer-Verlag) 2064

Lecture notes in mathematics 2064

Language:

English

Subjects (All):

Human physiology--Mathematical models.

Human physiology.

Cardiovascular system--Mathematical models.

Cardiovascular system.

Respiratory organs--Mathematical models.

Respiratory organs.

Mathematical models.

Cardiovascular system--Physiology.

Cardiovascular Physiological Phenomena.

Respiratory Physiological Phenomena.

Models, Theoretical.

mathematical models.

Medical Subjects:

Cardiovascular Physiological Phenomena.

Respiratory Physiological Phenomena.

Models, Theoretical.

Physical Description:

1 online resource

Place of Publication:

Heidelberg New York Springer ©2013

Language Note:

English

System Details:

text file

PDF

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

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

Notes:

Includes bibliographical references and index

Print version record

Other Format:

Print version Mathematical modeling and validation in physiology applications to the

ISBN:

9783642328824

3642328822

OCLC:

822993449

Access Restriction:

Restricted for use by site license