Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems
- Heidelberg ; New York : Springer, c2013.
- Physical description
- xx, 254 p. : ill. (some col.) ; 23 cm.
Lecture notes in mathematics (Springer-Verlag) 2064.
Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.
QA3 .L28 V.2064
- Unknown QA3 .L28 V.2064
- Includes bibliographical references and index.
- 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
- 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 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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- Publication date
- Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors.
- 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 (OCoLC)822993449
- 9783642328824 (electronic bk.)
- 3642328822 (electronic bk.)