Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control

Overview

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 ...
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Overview

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.
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Product Details

  • ISBN-13: 9780898716177
  • Publisher: SIAM
  • Publication date: 9/20/2007
  • Series: Frontiers in Applied Mathematics Series , #34
  • Edition description: New Edition
  • Pages: 184
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.59 (d)

Meet the Author

Jerry J. Batzel is Research Associate at the Institute for Mathematics and Scientific Computing at the University of Graz, Austria.

Franz Kappel is Full Professor and Department Head at the Institute for Mathematics and Scientific Computation at the University of Graz, Austria.

Daniel Schneditz is Associate Professor and Director at the Laboratory for Extracorporeal Analysis and Diagnosis (LEAD) at the Institute of Physiology at the Medical University of Graz, Austria.

Hien T. Tran is Professor and Associate Head at the Department of Mathematics at North Carolina State University, Raleigh, USA.

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Table of Contents

Preface; 1. The cardiovascular system under an ergometric workload; 2. Respiratory modeling; 3. Cardio-Respiratory Modeling; 4. Blood volume and the venous system; 5. Future directions; Appendix A. Supplemental calculations; B. A Nonlinear feedback law; C. Retarded functional differential equations: Basic theory; Bibliography; Index.
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