Mathematical biology research trends

MATHEMATICAL BIOLOGY RESEARCH TRENDS 
......Page 3
 MATHEMATICAL BIOLOGY RESEARCH TRENDS 
......Page 5
CONTENTS......Page 7
PREFACE......Page 9
SHORT COMMUNICATION......Page 15
BIOLOGICAL COMPLEXITY BY NATURAL SELECTION AND SELF-ORGANIZATION: A GAME OF SURVIVAL
......Page 17
References......Page 19
RESEARCH AND REVIEW STUDIES......Page 21
Abstract......Page 23
1. Brief History of Epidemic Modeling for Public Health......Page 24
2. Epidemic Modeling Approaches......Page 25
3. Meaningless Mathematics......Page 31
4. Parameter Estimation......Page 34
5. Uncertainty Analyses......Page 37
6. Sensitivity Analyses......Page 40
7. Presenting Results......Page 55
References......Page 56
Abstract......Page 69
1. Introduction
......Page 70
2. Dynamic Responses
......Page 72
3. Stoichiometric Analysis
......Page 83
4. Conclusion
......Page 89
A. Functionals and Functional Derivatives
......Page 90
References......Page 91
1. Introduction
......Page 95
2. Mathematical Model for Haptotaxis in Avascular Tumours
......Page 97
3. Haptotaxis in a Spherical Tumour
......Page 100
4. Conclusions
......Page 117
References......Page 120
Abstract......Page 123
1. Introduction
......Page 124
2. Basic Model
......Page 130
3. Cholera Model with Treatment
......Page 143
4. Numerical Simulations
......Page 153
5. Conclusion
......Page 156
References......Page 157
Abstract......Page 161
1. Introduction
......Page 162
2. Single Label-Structured Cell Population Model
......Page 166
3. Computational Approach to the Direct and Inverse 
Problems......Page 168
4. Modeling Cell Populations Structured by Two 
Fluorescence Markers......Page 176
5. Conclusion
......Page 183
References......Page 185
Abstract......Page 189
2. Typical “Building Blocks”: Immunological and 
Epidemiological Models......Page 190
4. Immuno-Epidemiology
......Page 193
5. Immuno-Epidemiological Models for HIV
......Page 196
6. Multigroup Immuno-Epidemiological Models
......Page 199
7. Multi-Strain Immuno-Epidemiological Models
......Page 200
8. Conclusion
......Page 203
References......Page 204
Abstract......Page 207
Introduction......Page 208
Aerosol Particle Deposition and Clearance in the Human Respiratory Tract – Basic Considerations
......Page 209
Models of Particle Deposition in the Human Lungs......Page 218
Mathematical Approaches to Bronchial Clearance of Insoluble Particles from the Lungs
......Page 223
Conclusion......Page 225
References......Page 226
Abstract......Page 231
2. A Brief Historical Review
......Page 232
3. Systems Biology
......Page 234
4. The Central Dogma of Molecular Biology
......Page 235
5. The Tryptophan Operon
......Page 237
6. Mathematical Modelling
......Page 239
7. Dynamic Influence of the Three Regulatory Mechanisms 
in the trp Operon......Page 241
8. Comparison with Experimental Results and Model 
Improvement......Page 242
9. Conclusions
......Page 245
A. Modelling the Three trp Operators
......Page 246
References......Page 248
Abstract......Page 251
1. Introduction
......Page 252
2. Basic Discrete-Generation Model
......Page 253
3. Non-linear Transmission
......Page 255
4. Stability of a General Model with Nonlinear Transmission
......Page 258
5. Disease-Induced Mortality
......Page 263
6. Stability and Bifurcation of the Specific Models
......Page 266
7. Discussion and Conclusion
......Page 269
References......Page 271
Abstract......Page 275
1. Introduction
......Page 276
2. Model
......Page 277
3. Stability
......Page 278
4. Results
......Page 280
5. Discussion
......Page 283
A. Appendix
......Page 284
References......Page 286
Abstract......Page 289
Introduction......Page 290
Phenomenological Bases of a Pulsatory Liposome......Page 291
The Change of the Chemical Composition of Internal Solution......Page 292
The Swelling Time of the Vesicle......Page 295
The Pore Dynamics......Page 296
Lifetime of the Pore......Page 300
The Time of the N-Cycle of the Pulsatory Lipid Vesicle......Page 302
Numerical Results and Discussion......Page 303
References......Page 306
INDEX......Page 309