Accession Number : ADA189256

Title :   The Topological Aspects of Immunological Control Networks.

Descriptive Note : Technical rept.,

Corporate Author : GEORGIA UNIV ATHENS DEPT OF CHEMISTRY

Personal Author(s) : King, R B

PDF Url : ADA189256

Report Date : 11 Dec 1987

Pagination or Media Count : 34

Abstract : Immunological control networks can be modelled by bipartite signed directed graphs called influence diagrams. Possible flow topologies around unstable steady states in such systems can be determined by kinetic logic based on the directed Boolean cubes of switching circuit theory. This method can identify the stable help and suppression configurations of the basic Herzenberg core regulatory circuit as well as the memory and non-responsive configurations of the model of Kaufman, Urbain, and Thomas. Furthermore, addition of a single vertex to the Herzenberg core regulatory circuit so as to preserve the bipartite nature of the signed directed graph leads to a network with five independent internal variables and two connected feedback circuits, either positive and negative circuits of length 4 or positive circuits of lengths 4 and 2. The flow topology of either of these systems indicates that addition of the fifth vertex switches the basic four-vertex core regulatory circuit into one of its two stable configurations.

Descriptors :   *IMMUNOLOGY, *MATHEMATICAL MODELS, CIRCUITS, CONTROL, DIAGRAMS, FEEDBACK, FLOW, INTERNAL, KINETICS, LOGIC, NETWORKS, STABILITY, STEADY STATE, SUPPRESSION, SWITCHING, THEORY, TOPOLOGY, LYMPHOCYTES, RESISTANCE(BIOLOGY)

Subject Categories : Medicine and Medical Research
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE