Jerry J. Batzel Knihy

This volume brings together the range of control processes involved in the effective regulation of human cardiovascular and respiratory control systems and develops modelling themes, strategies, and key clinical applications using contemporary mathematical and control methodologies. Readers will gain an appreciation of how analytical techniques and ideas from optimal control theory, systems theory and numerical analysis can be utilized to better understand the regulation processes in these systems.

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.