Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems / Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors. - Heidelberg : Springer, 2013. - xx, 254 p. : ill. (some col.) ; 23 cm. - Lecture notes in mathematics, Mathematical biosciences subseries. 2064. 0075-8434 ; Lecture notes in mathematics (Springer-Verlag). . - Lecture notes in mathematics (Springer-Verlag) ; 2064. Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries. .

Includes bibliographical references and index.

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.

9783642328817 (alk. paper) RM316.73 3642328814 (alk. paper)


Human physiology--Mathematical models.
Cardiovascular system--Mathematical models.
Respiratory organs--Mathematical models.