Immune network behavior. II: From oscillations to chaos and stationary states

DOI10.1007/BF02460673zbMath0797.92015OpenAlexW2139705382WikidataQ52067736 ScholiaQ52067736MaRDI QIDQ2366766

Alan S. Perelson, Ioannis G. Kevrekidis, Rob J. de Boer

Publication date: 24 October 1994

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460673

zbMATH Keywords

stabilitychaosimmune systemssustained oscillatory behavior

Mathematics Subject Classification ID

Related Items (9)

Immune network behavior. I: From stationary states to limit cycle oscillations ⋮ Immune networks modeled by replicator equations ⋮ Memory capacity in large idiotypic networks ⋮ The role of positive feedback loops involving anti-dsDNA and anti-anti-dsDNA antibodies in autoimmune glomerulonephritis ⋮ Modeling immune complex-mediated autoimmune inflammation ⋮ Immune response towards growing- and auto-antigen in an idiotypic network model ⋮ A Cayley tree immune network model with antibody dynamics ⋮ Memory in idiotypic networks due to competition between proliferation and differentiation ⋮ Complex behaviours of AB model describing idiotypic network

Uses Software

• ODESSA

Cites Work

• Unnamed Item
• Window automata analysis of population dynamics in the immune systems
• Memory but no suppression in low-dimensional symmetric idiotypic networks
• Unreasonable implications of reasonable idiotypic network assumptions
• Receptor clustering on a cell surface. I. Theory of receptor cross- linking by ligands bearing two chemically identical functional groups
• Receptor clustering on a cell surface. III. Theory of receptor cross- linking by multivalent ligands: Description by ligand states
• Modeling immune reactivity in secondary lymphoid organs
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Immune network behavior. I: From stationary states to limit cycle oscillations
• Ponies on a merry-go-round in large arrays of Josephson junctions
• Algorithm 658
• Deterministic Nonperiodic Flow

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