Modeling and simulation in medicine and the life sciences:
Gespeichert in:
| Vorheriger Titel: | Hoppensteadt, Frank C. Mathematics in medicine and the life sciences |
|---|---|
| Hauptverfasser: | , |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2002
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Texts in applied mathematics
10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 354 S. Ill., graph. Darst. |
| ISBN: | 0387950729 |
Internformat
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| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 2002 | |
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| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
| _version_ | 1804128827462385664 |
|---|---|
| adam_text | Contents
Series Preface vii
Preface ix
Introduction 1
1 The Heart and Circulation 5
1.1 Plan of the Circulation 5
1.2 Volume, Flow, and Pressure 7
1.3 Resistance and Compliance Vessels 8
1.4 The Heart as a Pair of Pumps 10
1.5 Mathematical Model of the Uncontrolled Circulation . . 14
1.6 Balancing the Two Sides of the Heart and
the Two Circulations 18
1.7 The Need for External Circulatory Control Mechanisms . 20
1.8 Neural Control: The Baroreceptor Loop 21
1.9 Autoregulation 25
1.10 Changes in the Circulation Occurring at Birth 28
1.11 Dynamics of the Arterial Pulse 33
1.12 Computer Simulation of Pulsatile Blood Flow 39
1.13 Suggestions for Computing Projects Concerning
the Circulation 63
1.14 Annotated References 68
Exercises 69
xii Contents
2 Gas Exchange in the Lungs 75
2.1 The Ideal Gas Law and the Solubility of Gases 76
2.2 The Equations of Gas Transport in One Alveolus .... 78
2.3 Gas Transport in the Lung 82
2.4 Optimal Gas Transport 83
2.5 Mean Alveolar and Arterial Partial Pressures 85
2.6 Transport of O2 87
2.7 Computer Solution of the Equations for O2 Transport
in the Lung 91
2.8 Computing Projects Concerning Oxygen Transport
by the Lung 104
2.9 Annotated References 107
Exercises 107
3 Control of Cell Volume and Electrical Properties of
Cell Membranes 109
3.1 Osmotic Pressure and the Work of Concentration .... 109
3.2 A Simple Model of Cell Volume Control 113
3.3 The Movement of Ions Across Cell Membranes 115
3.4 The Interaction of Electrical and Osmotic Effects .... 118
3.5 The Hodgkin Huxley Equations for the
Nerve Action Potential 124
3.6 Computer Simulation of the Nerve Action Potential . . . 132
3.7 Suggestions for Computing Projects Concerning
the Nerve Impulse 139
3.8 Annotated References 143
Exercises 144
4 The Renal Countercurrent Mechanism 147
4.1 The Nephron 147
4.2 Dynamics of Na+ and H2O: Transport along the Renal
Tubules 150
4.3 The Loop of Henle 152
4.4 The Juxtaglomerular Apparatus and the Renin Angiotensin
System 155
4.5 The Distal Tubule and Collecting Duct: Concentrating and
Diluting Modes 157
4.6 Remarks on the Significance of the Juxtaglomerular
Apparatus 158
4.7 How Nephrons Do Better Than a Factor of e 159
4.8 Computing Project on the Interacting Nephron
Population Model 166
4.9 Annotated References 168
Exercises 169
Contents xiii
5 Muscle Mechanics 171
5.1 The Force Velocity Curve 171
5.2 Crossbridge Dynamics 173
5.3 Computer Simulation of Crossbridge Attachment
and Detachment 179
5.4 Suggested Computing Projects on Crossbridge Dynamics 188
5.5 Annotated References 190
Exercises 190
6 Neural Systems 193
6.1 Guttman s Experiments on Phase Locking 195
6.2 Biological Rhythms 197
6.2.1 Modulating the Clock on the Wall 198
6.2.2 Biological Clocks 199
6.2.3 Electronic Clocks: Voltage Controlled Oscillators 200
6.3 Model Neural Networks 200
6.3.1 A Thalamocortical Circuit 201
6.3.2 Hippocampus 203
6.4 Annotated References 207
Exercises 208
7 Population Dynamics 215
7.1 Bacterial Cultures 216
7.1.1 Batch Culture Growth 217
7.1.2 Least Squares Estimation of the Growth Rate . . 221
7.2 Age Structures 222
7.2.1 Cohort Analysis 223
7.2.2 Birth Rates 224
7.2.3 Age Distributions 228
7.3 Microbial Ecology 230
7.3.1 Uptake of Nutrients 230
7.3.2 Growth and Quiescence 232
7.3.3 Biofilms and Growth in a Continuous Flow .... 234
7.3.4 A Solutivory Food Chain 236
7.4 Nonlinear Reproduction Curves 237
7.4.1 Compensatory Growth: Verhulst s Model 238
7.4.2 Chaos 243
7.5 Controlling Populations 248
7.5.1 Cell Synchronization 249
7.5.2 Cohort Dynamics near the Limits of Growth . . . 250
7.5.3 Harvesting: Economics of Populations 252
7.6 Annotated References 256
Exercises 257
xiv Contents
8 Genetics 267
8.1 Population Genetics 269
8.1.1 Natural Selection 269
8.1.2 Slow Selection 272
8.1.3 Genotype Frequencies 273
8.1.4 Random Genetic Drift 275
8.2 Biotechnology 277
8.2.1 Plasmids 277
8.2.2 Control of Plasmid Replication 281
8.2.3 Regulation of Gene Expression 286
8.2.4 Stoichiometry of Metabolic Pathways 290
8.3 Annotated References 291
Exercises 292
9 A Theory of Epidemics 295
9.1 Spread of Infection Within a Family 296
9.2 The Threshold of an Epidemic 300
9.3 Predicting the Severity of an Epidemic 303
9.4 Annotated References 306
Exercises 306
10 Patterns of Population Growth and Dispersal 311
10.1 Random Walks and the Process of Diffusion 312
10.1.1 Random Walks 313
10.1.2 Boundary Conditions 314
10.1.3 Sample Paths 316
10.1.4 Diffusion Approximation 317
10.1.5 Two Dimensional Diffusion 318
10.1.6 Sample Paths in Two Dimensions 319
10.1.7 Numerical Solutions: The Method of Lines .... 320
10.2 Bacterial Growth on a Petri Plate 321
10.2.1 Diffusion of a Drop of Substrate 321
10.2.2 Bacterial Growth Due to Diffusing Nutrition . . . 323
10.2.3 Growth Patterns Due to Two Nutrients 323
10.3 Concluding Remarks 325
10.4 Annotated References 326
Exercises 326
Appendix A Getting Started with Matrices and MATLAB 335
Appendix B Background on Random Processes 343
Index 349
|
| any_adam_object | 1 |
| author | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- |
| author_GND | (DE-588)11268792X (DE-588)108882160X |
| author_facet | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- |
| author_role | aut aut |
| author_sort | Hoppensteadt, Frank C. 1938- |
| author_variant | f c h fc fch c s p cs csp |
| building | Verbundindex |
| bvnumber | BV013975445 |
| callnumber-first | Q - Science |
| callnumber-label | QH323 |
| callnumber-raw | QH323.5 |
| callnumber-search | QH323.5 |
| callnumber-sort | QH 3323.5 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | ST 640 WC 7000 WD 9200 |
| classification_tum | BIO 110f BIO 105f DAT 780f MED 001f |
| ctrlnum | (OCoLC)248647427 (DE-599)BVBBV013975445 |
| dewey-full | 570.151 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 570 - Biology |
| dewey-raw | 570.151 |
| dewey-search | 570.151 |
| dewey-sort | 3570.151 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Informatik Medizin |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013975445 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:55:26Z |
| institution | BVB |
| isbn | 0387950729 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009565958 |
| oclc_num | 248647427 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-29T DE-M347 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-M49 DE-BY-TUM DE-29T DE-M347 DE-634 DE-83 DE-11 DE-188 |
| physical | XIV, 354 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Texts in applied mathematics |
| series2 | Texts in applied mathematics |
| spelling | Hoppensteadt, Frank C. 1938- Verfasser (DE-588)11268792X aut Modeling and simulation in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin 2. ed. New York [u.a.] Springer 2002 XIV, 354 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 10 Biomathematik Physiologie - Mathematisches Modell Populationsbiologie - Mathematisches Modell Mathematik Biomathematics Physiology Mathematics Population biology Mathematics Physiologie (DE-588)4045981-0 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Medizin (DE-588)4038243-6 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Modellierung (DE-588)4170297-9 s Computersimulation (DE-588)4148259-1 s Medizin (DE-588)4038243-6 s DE-604 Physiologie (DE-588)4045981-0 s Mathematisches Modell (DE-588)4114528-8 s Populationsbiologie (DE-588)4046800-8 s Biomathematik (DE-588)4139408-2 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Biologie (DE-588)4006851-1 s 2\p DE-604 Peskin, Charles S. 1946- Verfasser (DE-588)108882160X aut 1. Auflage Hoppensteadt, Frank C. Mathematics in medicine and the life sciences Texts in applied mathematics 10 (DE-604)BV002476038 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009565958&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hoppensteadt, Frank C. 1938- Peskin, Charles S. 1946- Modeling and simulation in medicine and the life sciences Texts in applied mathematics Biomathematik Physiologie - Mathematisches Modell Populationsbiologie - Mathematisches Modell Mathematik Biomathematics Physiology Mathematics Population biology Mathematics Physiologie (DE-588)4045981-0 gnd Populationsbiologie (DE-588)4046800-8 gnd Biomathematik (DE-588)4139408-2 gnd Mathematik (DE-588)4037944-9 gnd Medizin (DE-588)4038243-6 gnd Computersimulation (DE-588)4148259-1 gnd Biologie (DE-588)4006851-1 gnd Modellierung (DE-588)4170297-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4045981-0 (DE-588)4046800-8 (DE-588)4139408-2 (DE-588)4037944-9 (DE-588)4038243-6 (DE-588)4148259-1 (DE-588)4006851-1 (DE-588)4170297-9 (DE-588)4114528-8 |
| title | Modeling and simulation in medicine and the life sciences |
| title_auth | Modeling and simulation in medicine and the life sciences |
| title_exact_search | Modeling and simulation in medicine and the life sciences |
| title_full | Modeling and simulation in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
| title_fullStr | Modeling and simulation in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
| title_full_unstemmed | Modeling and simulation in medicine and the life sciences Frank C. Hoppensteadt ; Charles S. Peskin |
| title_old | Hoppensteadt, Frank C. Mathematics in medicine and the life sciences |
| title_short | Modeling and simulation in medicine and the life sciences |
| title_sort | modeling and simulation in medicine and the life sciences |
| topic | Biomathematik Physiologie - Mathematisches Modell Populationsbiologie - Mathematisches Modell Mathematik Biomathematics Physiology Mathematics Population biology Mathematics Physiologie (DE-588)4045981-0 gnd Populationsbiologie (DE-588)4046800-8 gnd Biomathematik (DE-588)4139408-2 gnd Mathematik (DE-588)4037944-9 gnd Medizin (DE-588)4038243-6 gnd Computersimulation (DE-588)4148259-1 gnd Biologie (DE-588)4006851-1 gnd Modellierung (DE-588)4170297-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Biomathematik Physiologie - Mathematisches Modell Populationsbiologie - Mathematisches Modell Mathematik Biomathematics Physiology Mathematics Population biology Mathematics Physiologie Populationsbiologie Medizin Computersimulation Biologie Modellierung Mathematisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009565958&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002476038 |
| work_keys_str_mv | AT hoppensteadtfrankc modelingandsimulationinmedicineandthelifesciences AT peskincharless modelingandsimulationinmedicineandthelifesciences |