An Associative Memory Based on the Immune Networks: Perspectives on Internal Image with Antibody Dynamics

Immune memory can be regarded as an equilibrium state of immune network system with nonlinear dynamical behavior. The rapid response of immune systems to the second-time antigen is owing to the stable structure of memory state forming by a closed idiotypic immune network. Internal image of an antigen is defined while memory state is formed via such network. A dynamical system of cell population based on antibody chains and tree structure is proposed which explains how the memory state is formed in the immune network. We also propose a network dynamics model of idiotypic immune network based on cross-reactive correlation matrix to fill the gap of weaker assumption for artificial immune memory. Mathematical theory of associative memory is also explored, particularly, combining network structure and dynamical systems are some breakthrough in this paper. We realize that cyclic idiotypic immune network and dynamical systems can be a cooperative description for immune memory.