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Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems

Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors
Format
Book
Published
Heidelberg ; New York : Springer, c2013.
Language
English
Series
Lecture Notes in Mathematics
Mathematical Biosciences Subseries
Lecture Notes in Mathematics (Springer-Verlag)
Lecture Notes in Mathematics (Springer-Verlag) Mathematical Biosciences Subseries
ISBN
3642328814, 9783642328817
Contents
  • Merging mathematical and physiological knowledge : dimensions and challenges
  • Mathematical modeling of physiological systems
  • Parameter selection methods in inverse problem formulation
  • Application of the unscented Kalman filtering to parameter estimation
  • Integrative and reductionist approaches to modeling of control of breathing
  • Parameter identification in a respiratory control system model with delay
  • Experimental studies of respiration and apnea
  • Model validation and control issues in the respiratory system
  • Experimental studies of the baroreflex
  • Development of patient specific cardiovascular models predicting dynamics in response to orthostatic stress challenges
  • Parameter estimation of a model for baroreflex control of unstressed volume.
Description
xx, 254 p. : ill. (some col.) ; 23 cm.
Notes
Includes bibliographical references and index.
Series Statement
Lecture notes in mathematics ; 2064. Mathematical biosciences subseries
Lecture notes in mathematics (Springer-Verlag) 2064
Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries
Technical Details
  • Access in Virgo Classic
  • Staff View

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    a| Includes bibliographical references and index.
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    a| Merging mathematical and physiological knowledge : dimensions and challenges -- Mathematical modeling of physiological systems -- Parameter selection methods in inverse problem formulation -- Application of the unscented Kalman filtering to parameter estimation -- Integrative and reductionist approaches to modeling of control of breathing -- Parameter identification in a respiratory control system model with delay -- Experimental studies of respiration and apnea -- Model validation and control issues in the respiratory system -- Experimental studies of the baroreflex -- Development of patient specific cardiovascular models predicting dynamics in response to orthostatic stress challenges -- Parameter estimation of a model for baroreflex control of unstressed volume.
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    a| Human physiology x| Mathematical models.
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    a| Cardiovascular system x| Mathematical models.
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    a| Bachar, Mostafa.
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