Introduction to mathematical biology:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; London ; Sydney ; Toronto
John Wiley & Sons
1975
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xiii, 386 Seiten Diagramme |
| ISBN: | 0471744468 |
Staff View
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| 245 | 1 | 0 | |a Introduction to mathematical biology |c S. I. Rubinow |
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CONTENTS
Chapter 1—Cell Growth 1
1.1 Exponential Growth or Decay, 1
1.2 Determination of Growth or Decay Rates, 4
1.3 The Method of Least Squares, 6
1.4 Nutrient Uptake by a Cell, 8
1.5 Inhomogeneous Differential Equations, 10
1.6 Growth of a Microbial Colony, 11
1.7 Growth in a Chemostat, 17
1.8 Interacting Populations: Predator Prey System, 23
1.9 Mutation and Reversion in Bacterial Growth, 31
Problems, 37
Chapter 2—Enzyme Kinetics 46
2.1 The Michaelis Menten Theory, 47
2.2* Early Time Behavior of Enzymatic Reactions, 51
2.3 Enzyme Substrate Inhibitor System, 56
2.4 Cooperative Properties of Enzymes, 60
2.5 The Cooperative Dimer, 66
2.6 Allosteric Enzymes, 71
2.7 Other Allosteric Theories, 79
2.8 Hemoglobin, 81
2.9 Graph Theory and Steady State Enzyme Kinetics, 85
2.10 Enzyme Substrate Modifier System, 89
2.11 Enzyme Substrate Activator System, 94
2.12 Aspartate Transcarbamylase, 97
Problems, 100
xi
xii CONTENTS
Chapter 3—Tracers in Physiological Systems 104
3.1 Compartment Systems, 104
3.2 The One Compartment System, 107
3.3 Indicator Dilution Theory, 109
3.4 Continuous Infusion, 113
3.5 The Two Compartment System, 116
3.6 Leaky Compartments and Closed Systems, 122
3.7 The Method of Exponential Peeling, 124
3.8 Creatinine Clearance: A Two Compartment System, 127
3.9 The "Soaking Out" Experiment, 128
3.10 The Three Compartment Catenary System, 134
3.11* The ^ Compartment System, 138
Problems, 145
Chapter 4—Biological Fluid Dynamics 156
4.1 The Equations of Motion of a Viscous Fluid, 156
4.2 Poiseuille's Law, 159
4.3 Properties of Blood, 161
4.4 The Steady Flow of Blood Through a Vessel, 165
4.5 The Pulse Wave, 171
4.6 The Swimming of Microorganisms, 175
Problems, 188
Chapter 5—Diffusion in Biology 196
5.1 Fick's Laws of Diffusion, 196
5.2 The Fick Principle, 198
5.3 The Unit One Dimensional Source Solution, 202
5.4 The Diffusion Constant, 205
5.5 Olfactory Communication in Animals, 211
5.6 Membrane Transport, 214
5.7 Diffusion Through a Slab, 221
5.8 Convective Transport: Ionic Flow in an Axon, 227
5.9 The Gaussian Function, 232
5.10 Ultracentrifugation, 234
5.11 The Sedimentation Velocity Method, 240
5.12* An Approximate Solution to the Lamm Equation, 245
5.13 Sedimentation Equilibrium, 250
5.14 Transcapillary Exchange, 257
Problems, 262
CONTENTS xiii
Solutions to Problems 278
References 342
Appendix A: Brief Review 348
Appendix B: Determinants, Vectors, and Matrices 364
Author Index 375
Subject Index 379 |
| any_adam_object | 1 |
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| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| format | Book |
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| indexdate | 2024-12-03T11:01:09Z |
| institution | BVB |
| isbn | 0471744468 |
| language | English |
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| physical | xiii, 386 Seiten Diagramme |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | John Wiley & Sons |
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| spelling | Rubinow, S. I. (DE-588)1236766245 aut Introduction to mathematical biology S. I. Rubinow New York ; London ; Sydney ; Toronto John Wiley & Sons 1975 xiii, 386 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Biologie ram Biomathématiques Biomathématiques ram Biométrie ram Mathématiques ram Mathematik Biology Biomathematics Biometry Mathematics Biomathematik (DE-588)4139408-2 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Biomathematik (DE-588)4139408-2 s DE-604 Mathematik (DE-588)4037944-9 s Biologie (DE-588)4006851-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001281585&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rubinow, S. I. Introduction to mathematical biology Biologie ram Biomathématiques Biomathématiques ram Biométrie ram Mathématiques ram Mathematik Biology Biomathematics Biometry Mathematics Biomathematik (DE-588)4139408-2 gnd Biologie (DE-588)4006851-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4006851-1 (DE-588)4037944-9 (DE-588)4151278-9 |
| title | Introduction to mathematical biology |
| title_auth | Introduction to mathematical biology |
| title_exact_search | Introduction to mathematical biology |
| title_full | Introduction to mathematical biology S. I. Rubinow |
| title_fullStr | Introduction to mathematical biology S. I. Rubinow |
| title_full_unstemmed | Introduction to mathematical biology S. I. Rubinow |
| title_short | Introduction to mathematical biology |
| title_sort | introduction to mathematical biology |
| topic | Biologie ram Biomathématiques Biomathématiques ram Biométrie ram Mathématiques ram Mathematik Biology Biomathematics Biometry Mathematics Biomathematik (DE-588)4139408-2 gnd Biologie (DE-588)4006851-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Biologie Biomathématiques Biométrie Mathématiques Mathematik Biology Biomathematics Biometry Mathematics Biomathematik Einführung |
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