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Dynamics of a class of immune networks. I. Global stability of idiotype interactions
- Source :
- Journal of theoretical biology. 144(1)
- Publication Year :
- 1990
-
Abstract
- This paper establishes the conditions under which a class of differential equations which appear in the study of immune systems (Varela et al., 1988a, In: Theoretical Immunology Part II. New Jersey: Addison Wesley), are globally stable. This is proved by adapting a Liapunov functional originally proposed by Cohen & Grossberg (1983, IEEE Transac SMC 13, 815–826) for competitive systems. The global stability thus obtained is valid on the fast time scale where only idiotypic interactions are relevant, thus excluding both lymphocyte proliferation processes and repertoire change via recruitment from immature bone marrow B cells.
- Subjects :
- Statistics and Probability
Idiotype
Class (set theory)
B-Lymphocytes
General Immunology and Microbiology
Applied Mathematics
Repertoire
Stability (learning theory)
General Medicine
Lymphocyte proliferation
Biology
Models, Biological
General Biochemistry, Genetics and Molecular Biology
Feedback
Immune system
Immunoglobulin Idiotypes
Modeling and Simulation
Immune System
Immunology
Animals
General Agricultural and Biological Sciences
Neuroscience
Immunologic Memory
Subjects
Details
- ISSN :
- 00225193
- Volume :
- 144
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Journal of theoretical biology
- Accession number :
- edsair.doi.dedup.....c85a4caaed4c322b1606778859f44d4d