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Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems (Lecture Notes in Mathematics, nr. 2064)

Editat de Jerry J. Batzel, Mostafa Bachar, Franz Kappel
Notă GoodReads:
en Limba Engleză Carte Paperback – 14 Dec 2012
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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Specificații

ISBN-13: 9783642328817
ISBN-10: 3642328814
Pagini: 280
Ilustrații: 49 schwarz-weiße und 34 farbige Abbildungen
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.43 kg
Ediția: 2013
Editura: Springer
Colecția Springer
Seriile Lecture Notes in Mathematics , Mathematical Biosciences Subseries

Locul publicării: Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

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.

Caracteristici

Focused study of modeling from model design to model identifiability and validation
Written by current leading experts in the field and including topics of current research interest in state of the art questions and methods
Focus on interdisciplinary (physiological and mathematical) collaboration and applications of modeling with clinical relevance
Presentation of key theoretical ideas and current areas of research interest through clear and motivated examples of application and implementation