# Accession Number:

## ADA191713

# Title:

## The Flow Topology of the Herzenberg Immunological Control Networks.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## GEORGIA INST OF TECH ATLANTA DEPT OF CHEMISTRY

# Personal Author(s):

# Report Date:

## 1988-01-13

# Pagination or Media Count:

## 24.0

# 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. An example of an immunological control network is the Herzenberg core regulatory circuit C R C which consists of a single positive circuit of length 4 with alternating positive and negative edges. The flow topology of this C R C indicates locking into one of two stable configurations corresponding to help and suppression, Addition of a single vertex to the Herzenberg C R C 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 C R C into one of its two stable configurations. Keywords Kinetic theory Model theory Decision theory.

# Descriptors:

# Subject Categories:

- Medicine and Medical Research
- Theoretical Mathematics