Dynamics of biological systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, [u.a.]
CRC Press
2012
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| Series: | Mathematical and computational biology series
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 253 - 256 |
| Physical Description: | XV, 262 S. Ill., graph. Darst., Kt. |
| ISBN: | 9781439853368 |
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Record in the Search Index
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| adam_text | Chapman amp; Hall/CRC Mathematical and Computational Biology Series
Dynamics of
Biological Systems
Michael Small
CRC Press
Taylor amp; Francis Group
Boca Raton London New York
CRC Press is an imprint of the
Taylor amp; Francis Group an informa business
ACHAPMAN amp;HALLBOOK
Contents
Preface xiii
1 Biological Systems and Dynamics 1
1 1 In the Beginning 1
1 2 The Hemodynamic System 4
1 3 Cheyne- Stokes Respiration 12
1 4 Summary 15
2 Population Dynamics of a Single Species 19
2 1 Fibonacci, Malthus and Nicholson s Blowflies 19
2 2 Fixed Points and Stability of a One-Dimensional First-Order
Difference Equation 25
2 3 The Cobweb Diagram 28
2 4 An Example: Prostate Cancer 33
2 5 Higher-Dimensional Maps 35
2 6 Period-Doubling Bifurcation in Infant Respiration 41
2 7 Summary 41
3 Observability of Dynamic Variables 47
3 1 Bioelectric Phenomena Measurement 47
3 2 ECG, EEG, EMG, EOG and All That 48
3 3 Measuring Movement 54
3 4 Measuring Temperature 58
3 5 Measuring Oxygen Concentration 59
3 6 Biomedical Imaging 60
3 7 The Importance of Measurement 65
3 8 Summary 67
4 Biomedical Signal Processing 75
4 1 Automatic Analysis of Electroencephalograms 75
4 2 Electrocardiographic Signal Processing 81
4 3 Vector Cardiography 87
4 4 Embedology and State Space Representation 89
4 5 Fractals, Chaos and Non-Linear Dynamics 95
4 6 Prediction 97
4 7 Summary 104
ix
X
5 Computational Neurophysiology 111
5 1 The Cell Ill
5 2 Action Potentials and Ion Channels 114
5 3 Fick s Law, Ohm s Law and the Einstein Relation 116
5 4 Cellular Equilibrium: Nernst and Goldman 117
5 5 Equivalent Circuits 120
5 6 Dendrites 126
5 7 Summary 131
6 Mathematical Neurodynamics 139
6 1 Hodgkin, Huxley and the Squid Giant Axon 139
6 2 FitzHugh-Nagumo Model 144
6 3 Fixed Points and Stability of a One-Dimensional Differential
Equation 145
6 4 Nullclines and Phase-Planes 146
6 5 Pitchfork and Hopf Bifurcations in Two Dimensions 148
6 6 Excitability 154
6 7 Summary 158
7 Population Dynamics 163
7 1 Predator-Prey Interactions 163
7 2 Fixed Points and Stability of Two-Dimensional Differential
Equations 164
7 3 Disease Models: SIS, SIR and SEIR 169
7 4 SARS in Hong Kong 173
7 5 Summary 176
8 Action, Reaction and Diffusion 183
8 1 Black Death and Spatial Disease Transmission 183
8 2 Reaction-Diffusion 187
8 3 Cardiac Dynamics 189
8 4 Summary 195
9 Autonomous Agents 199
9 1 Flocking 199
9 2 Celluloid Penguins and Roosting Starlings 200
9 3 Evaluating Crowd Simulations 207
9 4 Summary 208
10 Complex Networks 211
10 1 Human Networks: Growing Complex Networks 211
10 2 Small-World Networks and the Spread of SARS 224
10 3 Global Spread of Avian Influenza 232
10 4 Complex Disease Transmission and Immunisation 239
10 5 Complex Networks Constructed from Musical Composition 240
xi
10 6 Interaction of Grazing Herbivores 242
10 7 Neuronal Networks Are Complex Networks 243
10 8 Summary 245
11 Conclusion 249
11 1 Models Are a Reflection of Reality 249
Bibliography 253
Index 257
|
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| indexdate | 2024-07-10T00:26:06Z |
| institution | BVB |
| isbn | 9781439853368 |
| language | English |
| lccn | 2011029897 |
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| physical | XV, 262 S. Ill., graph. Darst., Kt. |
| publishDate | 2012 |
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| publisher | CRC Press |
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| spelling | Small, Michael Verfasser aut Dynamics of biological systems Michael Small Boca Raton, [u.a.] CRC Press 2012 XV, 262 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Mathematical and computational biology series Literaturverz. S. 253 - 256 Biokybernetik (DE-588)4006846-8 gnd rswk-swf Biologisches System (DE-588)4122930-7 gnd rswk-swf Biologisches System (DE-588)4122930-7 s Biokybernetik (DE-588)4006846-8 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025386743&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Small, Michael Dynamics of biological systems Biokybernetik (DE-588)4006846-8 gnd Biologisches System (DE-588)4122930-7 gnd |
| subject_GND | (DE-588)4006846-8 (DE-588)4122930-7 |
| title | Dynamics of biological systems |
| title_auth | Dynamics of biological systems |
| title_exact_search | Dynamics of biological systems |
| title_full | Dynamics of biological systems Michael Small |
| title_fullStr | Dynamics of biological systems Michael Small |
| title_full_unstemmed | Dynamics of biological systems Michael Small |
| title_short | Dynamics of biological systems |
| title_sort | dynamics of biological systems |
| topic | Biokybernetik (DE-588)4006846-8 gnd Biologisches System (DE-588)4122930-7 gnd |
| topic_facet | Biokybernetik Biologisches System |
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