Cardiovascular and respiratory systems: modeling, analysis, and control
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Philadelphia
SIAM
2007
|
| Schriftenreihe: | Frontiers in applied mathematics
34 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 274 S. graph. Darst. |
| ISBN: | 0898716179 9780898716177 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Contents
List of Symbols and Abbreviations xi
Preface xvii
1 The Cardiovascular System under an Ergometric Workload 1
1.1 Some Physiological Facts 1
1.2 The Basic Model 6
1.3 Analysis of the Basic Model 16
1.3.1 Existence of equilibria 18
1.3.2 An invariance property of Grodins system 21
1.4 The Linear-Quadratic Regulator Problem 22
1.5 The Bicycle Ergometer Test 25
1.6 Parameter Identification 27
1.6.1 A priori determined parameters 28
1.6.2 The output least-squares formulation of the parameter
identification problem 30
1.7 Numerical Results 33
1.7.1 Parameter identification 33
1.7.2 Gradient computations 34
1.7.3 Sensitivity analysis 37
2 Respiratory Modeling 45
2.1 Respiratory Control Physiology 46
2.1.1 General features of respiration 46
2.1.2 The chemical control system for ventilation 47
2.1.3 Structural features of ventilation 51
2.1.4 Blood gas transport 53
2.1.5 Respiratory control stresses and problems 57
2.1.6 Approaches to modeling respiratory control 58
2.2 Respiratory Control Model 59
2.2.1 The lung compartment 60
2.2.2 The tissue compartment 62
2.2.3 The brain compartment 62
2.2.4 Dissociation relations 63
vii
viii Contents
2.2.5 State delays 63
2.2.6 Empirical control equation 64
2.2.7 Minute ventilation and tidal volume 65
2.2.8 Cardiac output and CBF 66
2.3 Stability of Respiratory Control 66
2.3.1 Computation of the delays 66
2.3.2 Stability and delays 68
2.4 Modeling Applications 78
2.4.1 Sleep and PB .¦ 78
2.4.2 PB and high altitude 83
2.4.3 Respiratory complications of HF 91
2.4.4 Other modeling issues 94
3 Cardiorespiratory Modeling 105
3.1 Physiology Introduction 105
3.1.1 Global control of the CVS 106
3.1.2 Local control of the CVS and autoregulation 114
3.1.3 Blood volume shift 118
3.1.4 Interaction of CVS and RS control 119
3.2 The Combined Model 125
3.2.1 Model equations 125
3.2.2 State dependency of the delays 128
3.2.3 Control formulation 129
3.2.4 Steady-state relations 130
3.3 Modeling Applications 135
3.3.1 CHF 135
3.3.2 Orthostatic and LBNP stress 141
3.3.3 Blood volume control and hemorrhage 151
3.3.4 CBFandOID 154
4 Blood Volume and the Venous System 165
4.1 Introduction 165
4.2 Scaling 166
4.2.1 Isometric relationships 166
4.2.2 Allometric relationships 167
4.2.3 Cardiovascular entities 168
4.3 The Venous System 169
4.4 Capacitance 171
4.4.1 Passive mechanisms 171
4.4.2 Active mechanisms 174
4.4.3 Flow effects 174
4.4.4 Modeling and measurement 177
4.4.5 System of compliances 178
4.4.6 Mean circulatory filling pressure 178
4.4.7 Parallel arrangement 179
4.5 BloodVolume 180
Contents ix
4.5.1 Characteristic times 181
4.5.2 RBC 182
4.5.3 Plasma 183
4.5.4 Microvascular filtration 183
4.5.5 Volume regulation 183
4.5.6 Volume measurement 187
4.5.7 RBC distribution 188
4.5.8 Hemoconcentration 188
4.6 Hemodialysis 190
4.6.1 Ultrafiltration 191
4.6.2 Vascular refilling 191
4.6.3 Ultrafiltration control 195
4.6.4 Blood pressure control 197
4.6.5 Time-variant system 197
4.6.6 Ultrafiltration pulses 198
4.6.7 Blood volume sequestration 198
4.6.8 Blood volume sensitivity 200
5 Future Directions 201
5.1 Introduction 201
5.2 Physiological Questions 202
5.3 Mathematical and Modeling Issues 206
5.4 Clinical Applications 208
A Supplemental Calculations 213
A.I Equilibrium Computation for the CVS if ^ Is Given 213
A.2 The Jacobian of .F(jc,/ , W, 0) with Respect to x 214
A.3 Sensitivity with Respect to a Variable 216
A.4 Generalized Sensitivity Functions 217
B A Nonlinear Feedback Law 223
B.I The Relative Degree of a System 223
B.2 A Nonlinear Coordinate Transform 224
B.3 Construction of the Feedback Law 227
B.4 The Nonlinear Feedback Law for the Cardiovascular Model 227
C Retarded Functional Differential Equations: Basic Theory 231
C.I Basic Notions 231
C.2 Linear Equations and the Linear-Quadratic Regulator Problem .... 234
C.3 Eigenvalues and Local Stability 237
Bibliography 241
Index 265
|
| adam_txt |
Contents
List of Symbols and Abbreviations xi
Preface xvii
1 The Cardiovascular System under an Ergometric Workload 1
1.1 Some Physiological Facts 1
1.2 The Basic Model 6
1.3 Analysis of the Basic Model 16
1.3.1 Existence of equilibria 18
1.3.2 An invariance property of Grodins' system 21
1.4 The Linear-Quadratic Regulator Problem 22
1.5 The Bicycle Ergometer Test 25
1.6 Parameter Identification 27
1.6.1 A priori determined parameters 28
1.6.2 The output least-squares formulation of the parameter
identification problem 30
1.7 Numerical Results 33
1.7.1 Parameter identification 33
1.7.2 Gradient computations 34
1.7.3 Sensitivity analysis 37
2 Respiratory Modeling 45
2.1 Respiratory Control Physiology 46
2.1.1 General features of respiration 46
2.1.2 The chemical control system for ventilation 47
2.1.3 Structural features of ventilation 51
2.1.4 Blood gas transport 53
2.1.5 Respiratory control stresses and problems 57
2.1.6 Approaches to modeling respiratory control 58
2.2 Respiratory Control Model 59
2.2.1 The lung compartment 60
2.2.2 The tissue compartment 62
2.2.3 The brain compartment 62
2.2.4 Dissociation relations 63
vii
viii Contents
2.2.5 State delays 63
2.2.6 Empirical control equation 64
2.2.7 Minute ventilation and tidal volume 65
2.2.8 Cardiac output and CBF 66
2.3 Stability of Respiratory Control 66
2.3.1 Computation of the delays 66
2.3.2 Stability and delays 68
2.4 Modeling Applications 78
2.4.1 Sleep and PB .¦ 78
2.4.2 PB and high altitude 83
2.4.3 Respiratory complications of HF 91
2.4.4 Other modeling issues 94
3 Cardiorespiratory Modeling 105
3.1 Physiology Introduction 105
3.1.1 Global control of the CVS 106
3.1.2 Local control of the CVS and autoregulation 114
3.1.3 Blood volume shift 118
3.1.4 Interaction of CVS and RS control 119
3.2 The Combined Model 125
3.2.1 Model equations 125
3.2.2 State dependency of the delays 128
3.2.3 Control formulation 129
3.2.4 Steady-state relations 130
3.3 Modeling Applications 135
3.3.1 CHF 135
3.3.2 Orthostatic and LBNP stress 141
3.3.3 Blood volume control and hemorrhage 151
3.3.4 CBFandOID 154
4 Blood Volume and the Venous System 165
4.1 Introduction 165
4.2 Scaling 166
4.2.1 Isometric relationships 166
4.2.2 Allometric relationships 167
4.2.3 Cardiovascular entities 168
4.3 The Venous System 169
4.4 Capacitance 171
4.4.1 Passive mechanisms 171
4.4.2 Active mechanisms 174
4.4.3 Flow effects 174
4.4.4 Modeling and measurement 177
4.4.5 System of compliances 178
4.4.6 Mean circulatory filling pressure 178
4.4.7 Parallel arrangement 179
4.5 BloodVolume 180
Contents ix
4.5.1 Characteristic times 181
4.5.2 RBC 182
4.5.3 Plasma 183
4.5.4 Microvascular filtration 183
4.5.5 Volume regulation 183
4.5.6 Volume measurement 187
4.5.7 RBC distribution 188
4.5.8 Hemoconcentration 188
4.6 Hemodialysis 190
4.6.1 Ultrafiltration 191
4.6.2 Vascular refilling 191
4.6.3 Ultrafiltration control 195
4.6.4 Blood pressure control 197
4.6.5 Time-variant system 197
4.6.6 Ultrafiltration pulses 198
4.6.7 Blood volume sequestration 198
4.6.8 Blood volume sensitivity 200
5 Future Directions 201
5.1 Introduction 201
5.2 Physiological Questions 202
5.3 Mathematical and Modeling Issues 206
5.4 Clinical Applications 208
A Supplemental Calculations 213
A.I Equilibrium Computation for the CVS if ^ Is Given 213
A.2 The Jacobian of .F(jc,/ , W, 0) with Respect to x 214
A.3 Sensitivity with Respect to a Variable 216
A.4 Generalized Sensitivity Functions 217
B A Nonlinear Feedback Law 223
B.I The Relative Degree of a System 223
B.2 A Nonlinear Coordinate Transform 224
B.3 Construction of the Feedback Law 227
B.4 The Nonlinear Feedback Law for the Cardiovascular Model 227
C Retarded Functional Differential Equations: Basic Theory 231
C.I Basic Notions 231
C.2 Linear Equations and the Linear-Quadratic Regulator Problem . 234
C.3 Eigenvalues and Local Stability 237
Bibliography 241
Index 265 |
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| spelling | Cardiovascular and respiratory systems modeling, analysis, and control Jerry J. Batzel ... Philadelphia SIAM 2007 XIX, 274 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frontiers in applied mathematics 34 Kardiovaskuläres System (DE-588)4024665-6 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Atmungsorgan (DE-588)4003408-2 gnd rswk-swf Regelung (DE-588)4048971-1 gnd rswk-swf Atemwege (DE-588)4068903-7 gnd rswk-swf Kardiovaskuläres System (DE-588)4024665-6 s Modellierung (DE-588)4170297-9 s Regelung (DE-588)4048971-1 s DE-604 Atemwege (DE-588)4068903-7 s Atmungsorgan (DE-588)4003408-2 s Batzel, Jerry J. Sonstige oth Frontiers in applied mathematics 34 (DE-604)BV001873790 34 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015591684&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cardiovascular and respiratory systems modeling, analysis, and control Frontiers in applied mathematics Kardiovaskuläres System (DE-588)4024665-6 gnd Modellierung (DE-588)4170297-9 gnd Atmungsorgan (DE-588)4003408-2 gnd Regelung (DE-588)4048971-1 gnd Atemwege (DE-588)4068903-7 gnd |
| subject_GND | (DE-588)4024665-6 (DE-588)4170297-9 (DE-588)4003408-2 (DE-588)4048971-1 (DE-588)4068903-7 |
| title | Cardiovascular and respiratory systems modeling, analysis, and control |
| title_auth | Cardiovascular and respiratory systems modeling, analysis, and control |
| title_exact_search | Cardiovascular and respiratory systems modeling, analysis, and control |
| title_exact_search_txtP | Cardiovascular and respiratory systems modeling, analysis, and control |
| title_full | Cardiovascular and respiratory systems modeling, analysis, and control Jerry J. Batzel ... |
| title_fullStr | Cardiovascular and respiratory systems modeling, analysis, and control Jerry J. Batzel ... |
| title_full_unstemmed | Cardiovascular and respiratory systems modeling, analysis, and control Jerry J. Batzel ... |
| title_short | Cardiovascular and respiratory systems |
| title_sort | cardiovascular and respiratory systems modeling analysis and control |
| title_sub | modeling, analysis, and control |
| topic | Kardiovaskuläres System (DE-588)4024665-6 gnd Modellierung (DE-588)4170297-9 gnd Atmungsorgan (DE-588)4003408-2 gnd Regelung (DE-588)4048971-1 gnd Atemwege (DE-588)4068903-7 gnd |
| topic_facet | Kardiovaskuläres System Modellierung Atmungsorgan Regelung Atemwege |
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