An introduction to the mathematics of biology: with computer algebra models
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Boston [u.a.]
Birkhäuser
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 2. Aufl. u.d.T.: Shonkwiler, Ronald W.: Mathematical Biology |
| Physical Description: | X, 417 S. graph. Darst. |
| ISBN: | 3764338091 0817638091 |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to the mathematics of biology |b with computer algebra models |c Edward K. Yeargers ; Ronald W. Shonkwiler ; James V. Herod |
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Record in the Search Index
| _version_ | 1804125493108146176 |
|---|---|
| adam_text | Contents
Preface ;x
Acknowledgments x
Chapter 1
Biology, Mathematics, and a Mathematical Biology Laboratory 1
1.1 The Natural Linkage Between Mathematics
and Biology 1
1.2 The Use of Models in Biology 2
1.3 What Can Be Derived from a Model and
How Is It Analyzed? 5
References and Suggested Further Reading 8
Chapter 2
Some Mathematical Tools 9
2.1 Linear Dependence 10
2.2 Linear Regression, the Method of Least Squares 16
2.3 Multiple Regression 27
2.4 Modeling with Differential Equations 35
2.5 Matrix Analysis 47
2.6 Statistical Data 52
2.7 Probability 64
References and Suggested Further Reading 75
vi Contents
Chapter 3
Reproduction and the Drive for Survival 77
3.1 The Darwinian Model of Evolution 78
3.2 Cells 81
3.3 Replication of Living Systems 82
3.4 Population Growth and Its Limitations 86
3.5 The Exponential Model for Growth and Decay 87
3.6 Questions for Thought and Discussion 97
References and Suggested Further Reading 97
Chapter 4
Interactions Between Organisms and Their Environment 98
4.1 How Population Growth is Controlled 99
4.2 Community Ecology 109
4.3 Environmentally Limited Population Growth 110
4.4 A Brief Look at Multiple Species Systems 119
4.5 Questions for Thought and Discussion 130
References and Suggested Further Reading 130
Chapter 5
Age-Dependent Population Structures 132
5.1 Aging and Death 132
5.2 The Age-Structure of Populations 137
5.3 Predicting the Age-Structure of a Population 140
5.4 Questions for Thought and Discussion 153
References and Suggested Further Reading 153
Chapter 6
Random Movements in Space and Time 154
6.1 Biological Membranes 155
6.2 The Mathematics of Diffusion 160
6.3 Interplacental Transfer of Oxygen: Biological
and Biochemical Considerations 180
6.4 Oxygen Diffusion Across the Placenta:
Physical Considerations 183
6.5 The Spread of Infectious Diseases 191
Contents vii
6.6 Questions for Thought and Discussion 192
References and Suggested Further Reading 192
Chapter 7
The Biological Disposition of Drugs and Inorganic Toxins 194
7.1 The Biological Importance of Lead 194
7.2 Early Embryogenesis and Organ Formation 196
7.3 Gas Exchange 201
7.4 The Digestive System 203
7.5 The Skin 206
7.6 The Circulatory System 207
7.7 Bones 216
7.8 The Kidneys 217
7.9 Clinical Effects of Lead 219
7.10 A Mathematical Model for Lead in Mammals 220
7.11 Pharmacokinetics 226
7.12 Questions for Thought and Discussion 233
References and Suggested Further Reading 233
Chapter 8
Neurophysiology 234
8.1 Communication Between Parts of an Organism 234
8.2 The Neuron 236
8.3 The Action Potential 240
8.4 Synapses—Interneuronal Connections 243
8.5 A Model for the Conduction of Action Potentials 247
8.6 The Fitzhugh-Nagumo Two-Variable Action
Potential System 259
8.7 Questions for Thought and Discussion 262
References and Suggested Further Reading 263
Chapter 9
The Biochemistry of Cells 264
9.1 Atoms and Bonds in Biochemistry 264
9.2 Biopolymers 272
9.3 Molecular Information Transfer 288
9.4 Enzymes and Their Function 295
9.5 Rates of Chemical Reactions 302
viii Contents
9.6 Enzyme Kinetics 308
9.7 Questions for Thought and Discussion 317
References and Suggested Further Reading 317
Chapter 10
A Biomathematical Approach to HIV and AIDS 319
10.1 Viruses 319
10.2 The Immune System 324
10.3 HIV and AIDS 334
10.4 An HIV Infection Model 340
10.5 A Model for a Mutating Virus 348
10.6 Predicting the Onset of AIDS 357
10.7 Questions for Thought and Discussion 367
References and Suggested Further Reading 368
Chapter 11
Genetics 369
11.1 Asexual Cell Reproduction—Mitosis 369
11.2 Sexual Reproduction—Meiosis and Fertilization 375
11.3 Classical Genetics 379
11.4 A Final Look at Darwinian Evolution 389
11.5 The Hardy-Weinberg Principle 391
11.6 The Fixation of a Beneficial Mutation 398
11.7 Questions for Thought and Discussion 408
References and Suggested Further Reading 409
Index 411
|
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| indexdate | 2024-07-09T18:02:26Z |
| institution | BVB |
| isbn | 3764338091 0817638091 |
| language | German |
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| spelling | Yeargers, Edward K. 1938- Verfasser (DE-588)114726582 aut An introduction to the mathematics of biology with computer algebra models Edward K. Yeargers ; Ronald W. Shonkwiler ; James V. Herod Boston [u.a.] Birkhäuser 1996 X, 417 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 2. Aufl. u.d.T.: Shonkwiler, Ronald W.: Mathematical Biology Biometrie gtt Biomathematics Biomathematik (DE-588)4139408-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Biomathematik (DE-588)4139408-2 s DE-604 Shonkwiler, Ronald W. 1942- Verfasser (DE-588)114726590 aut Herod, James V. 1937- Verfasser (DE-588)114726604 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007365671&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yeargers, Edward K. 1938- Shonkwiler, Ronald W. 1942- Herod, James V. 1937- An introduction to the mathematics of biology with computer algebra models Biometrie gtt Biomathematics Biomathematik (DE-588)4139408-2 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4123623-3 |
| title | An introduction to the mathematics of biology with computer algebra models |
| title_auth | An introduction to the mathematics of biology with computer algebra models |
| title_exact_search | An introduction to the mathematics of biology with computer algebra models |
| title_full | An introduction to the mathematics of biology with computer algebra models Edward K. Yeargers ; Ronald W. Shonkwiler ; James V. Herod |
| title_fullStr | An introduction to the mathematics of biology with computer algebra models Edward K. Yeargers ; Ronald W. Shonkwiler ; James V. Herod |
| title_full_unstemmed | An introduction to the mathematics of biology with computer algebra models Edward K. Yeargers ; Ronald W. Shonkwiler ; James V. Herod |
| title_short | An introduction to the mathematics of biology |
| title_sort | an introduction to the mathematics of biology with computer algebra models |
| title_sub | with computer algebra models |
| topic | Biometrie gtt Biomathematics Biomathematik (DE-588)4139408-2 gnd |
| topic_facet | Biometrie Biomathematics Biomathematik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007365671&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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