A Survey of Models for Tumor-Immune System Dynamics
Published on 27. September 2012
Book
Paperback/Softback
XVI, 344 pages
978-1-4612-6408-8 (ISBN)
Description
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.
Reviews / Votes
"This book is [a] very helpful tool for mathematicians constructing models in biology and hopefully it can also help biologists to understand some philosophy of mathematical descriptions of biological phenomena with all its pluses and minuses."
-Mathematica Bohemica
More details
Series
Edition
Softcover reprint of the original 1st ed. 1997
Language
English
Place of publication
Boston
United States
Target group
Professional and scholarly
Research
Illustrations
XVI, 344 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
552 gr
ISBN-13
978-1-4612-6408-8 (9781461264088)
DOI
10.1007/978-0-8176-8119-7
Schweitzer Classification
Other editions
Additional editions
John A. Adam | Nicola Bellomo
A Survey of Models for Tumor-Immune System Dynamics
Book
12/1996
Birkhauser Boston Inc
€160.49
Shipment within 15-20 days
Content
1. A Brief History of Immunologic Thinking: Is it Time for Yin and Yang?.- 1.1 Koch's Postulates.- 1.2 Aristotle's Laws of Logical Argument.- 1.3 Antigens and T-Cell Responses.- 1.4 Thinking About the Immune System.- 1.5 Fuzzy T-Cell Model.- 1.6 Acknowledgment.- 2. General Aspects of Modeling Tumor Growth and Immune Response.- 2.1 Introduction.- 2.2 What is a Mathematical Model?.- 2.3 Introduction to Deterministic Tumor (or Spheroid) Growth Models.- 2.4 A Predator-Prey Approach.- 2.5 A Model of Tumor Cell/Immune System Interaction.- 2.6 Models, Metaphors and Similes: Some Alternative Paradigms.- 2.7 References.- 2.8 Appendices.- 3. Mathematical Modeling of Tumor Growth Kinetics.- 3.1 Introduction.- 3.2 Tumor Growth as a Dynamical System.- 3.3 The Gompertz Model.- 3.4 The Logistic Model.- 3.5 Models of von Bertalanffy.- 3.6 Tumor Growth Modeled by Specific Mechanisms.- 3.7 Mathematical Models and Measured Growth Curves.- 3.8 Concluding Outlooks.- 3.9 Acknowledgment.- 3.10 References.- 4. Tumor Immune System Interactions: The Kinetic Cellular Theory.- 4.1 Introduction.- 4.2 A Concise Guide to the Literature.- 4.3 Guidelines: From Observation to Simulation.- 4.4 Cell Population and Activity.- 4.5 Modeling Cell Interactions.- 4.6 Evolution Kinetic Equations.- 4.7 Experimental Activity.- 4.8 Simulation and Validation Problems.- 4.9 Remarks Addressed to Applied Mathematicians.- 4.10 Perspectives.- 4.11 References.- 5. From Mutation to Metastasis: The Mathematical Modelling of the Stages of Tumour Development.- 5.1 Introduction.- 5.2 Avascular Tumour Growth: The Multicell Spheroid Model.- 5.3 Thmour Angiogenesis. Capillary Sprout Formation and Growth.- 5.4 Vascular Tumour Growth.- 5.5 Discussion and Conclusions.- 5.6 References.- 6. Basic Models of Tumor-Immune SystemInteractions Identification, Analysis and Predictions.- 6.1 Introduction.- 6.2 Kinetics Models of Cellular Cytotoxic Reactions at the Effector Stage of Immune Response.- 6.3 Regulatory Cells at the Effector Stage of the Cellular Immune Response.- 6.4 Modeling of the Recognition Mechanisms of Thmor Cells by NK-like Cells.- 6.5 Switch of Cytolytic Mechanisms: Effector Cells, Target Cells and Bispecific Regulating Molecules.- 6.6 Propagation and Interaction of Tumor Specific Macromolecules in Multicellular Tumors.- 6.7 Conclusion.- 6.8 Acknowledgment.- 6.9 References.- 7. Tumor Heterogeneity and Growth Control.- 7.1 Introduction.- 7.2 The Goal.- 7.3 The Plan.- 7.4 The Foundation and Tools.- 7.5 The Structure.- 7.6 Conclusions.- 7.7 References.- 8. Biological Glossary.