| Brings together the range of control processes involved in the effective regulation of human cardiovascular and respiratory control systems and develops modeling themes, strategies, and key clinical applications using contemporary mathematical and control methodologies. |
| Jerry J. Batzel is Research Associate at the Institute for Mathematics and Scientific Computing at the University of Graz, Austria. |
| List of Symbols and Abbreviations Preface 1 The Cardiovascular System under an Ergometric Workload 1.1 Some Physiological Facts 1.2 The Basic Model 1.3 Analysis of the Basic Model 1.3.1 Existence of equilibria 1.3.2 An invariance property of Grodins' system 1.4 The Linear-Quadratic Regulator Problem 1.5 The Bicycle Ergometer Test 1.6 Parameter Identification 1.6.1 A priori determined parameters 1.6.2 The output least-squares formulation of the parameter identification problem 1.7 Numerical Results 1.7.1 Parameter identification 1.7.2 Gradient computations 1.7.3 Sensitivity analysis 2 Respiratory Modeling 2.1 Respiratory Control Physiology 2.1.1 General features of respiration 2.1.2 The chemical control system for ventilation 2.1.3 Structural features of ventilation 2.1.4 Blood gas transport 2.1.5 Respiratory control stresses and problems 2.1.6 Approaches to modeling respiratory control 2.2 Respiratory Control Model 2.2.1 The lung compartment 2.2.2 The tissue compartment 2.2.3 The brain compartment 2.2.4 Dissociation relations 2.2.5 State delays 2.2.6 Empirical control equation 2.2.7 Minute ventilation and tidal volume 2.2.8 Cardiac output and CBF 2.3 Stability of Respiratory Control 2.3.1 Computation of the delays 2.3.2 Stability and delays 2.4 Modeling Applications 2.4.1 Sleep and PB 2.4.2 PB and high altitude 2.4.3 Respiratory complications of HF 2.4.4 Other modeling issues 3 Cardiorespiratory Modeling 3.1 Physiology Introduction 3.1.1 Global control of the CVS 3.1.2 Local control of the CVS and autorcgulation 3.1.3 Blood volume shift 3.1.4 Interaction of CVS and RS control 3.2 The Combined Model 3.2.1 Model equations 3.2.2 State dependency of the delays 3.2.3 Control formulation 3.2.4 Steady-stdte relations 3.3 Modeling Applications 3.3.1 CHF 3.3.2 Orthostatic and k B NP stress 3.3.3 Blood volume control and hemorrhage 3.3.4 CBF and OID 4 Blood Volume and the Venous System 4.1 Introduction 4.2 Scaling 4.2.1 Isometric relationships 4.2.2 Allometric relationships 4.2.3 Cardiovascular entities 4.3 The Venous System 4.4 Capacitance 4.4.1 Passive mechanisms 4.4.2 Active mechanisms 4.4.3 Flow effects 4.4.4 Modeling and measurement 4.4.5 System of compliances 4.4.6 Mean circulatory filling pressure 4.4.7 Parallel arrangement 4.5 Blood Volume …… 5 Future Directions A Supplemental Calculations B A Nonlinear Feedback Law C Retarded Functional Differential Equations:Basic Theory Bibliography Index |
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