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Mathematical Modeling and Validation in Physiology Jerry J. Batzel

Mathematical Modeling and Validation in Physiology By Jerry J. Batzel

Mathematical Modeling and Validation in Physiology by Jerry J. Batzel


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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.

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Mathematical Modeling and Validation in Physiology Summary

Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems by Jerry J. Batzel

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.

Table of Contents

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.

Additional information

CIN3642328814VG
9783642328817
3642328814
Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems by Jerry J. Batzel
Used - Very Good
Paperback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2012-12-14
254
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us

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