Ebook: A Survey of Models for Tumor-Immune System Dynamics
- Tags: Mathematics general
- Series: Modeling and Simulation in Science Engineering & Technology
- Year: 1997
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
Mathematical Modeling and Immunology An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the above-mentioned problem requires the fullest pos sible cooperation among scientists working in different fields: biology, im munology, medicine, physics and, we believe, mathematics. Certainly, bi ologists and immunologists will make the greatest contribution to the re search. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such prob lems. We cannot expect mathematicians alone to solve fundamental prob lems in immunology and (in particular) cancer research, but valuable sup port, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field.
Content:
Front Matter....Pages i-xvi
A Brief History of Immunologic Thinking: Is it Time for Yin and Yang?....Pages 1-13
General Aspects of Modeling Tumor Growth and Immune Response....Pages 15-87
Mathematical Modeling of Tumor Growth Kinetics....Pages 89-133
Tumor Immune System Interactions: The Kinetic Cellular Theory....Pages 135-186
From Mutation to Metastasis: The Mathematical Modelling of the Stages of Tumour Development....Pages 187-236
Basic Models of Tumor-Immune System Interactions Identification, Analysis and Predictions....Pages 237-294
Tumor Heterogeneity and Growth Control....Pages 295-333
Biological Glossary....Pages 335-344
Content:
Front Matter....Pages i-xvi
A Brief History of Immunologic Thinking: Is it Time for Yin and Yang?....Pages 1-13
General Aspects of Modeling Tumor Growth and Immune Response....Pages 15-87
Mathematical Modeling of Tumor Growth Kinetics....Pages 89-133
Tumor Immune System Interactions: The Kinetic Cellular Theory....Pages 135-186
From Mutation to Metastasis: The Mathematical Modelling of the Stages of Tumour Development....Pages 187-236
Basic Models of Tumor-Immune System Interactions Identification, Analysis and Predictions....Pages 237-294
Tumor Heterogeneity and Growth Control....Pages 295-333
Biological Glossary....Pages 335-344
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