Patterns in randomly evolving networks: Idiotypic networks
Brede, Markus and Behn, Ulrich (2003) Patterns in randomly evolving networks: Idiotypic networks. Physical Review E, 67, (3) (doi:10.1103/PhysRevE.67.031920).
Download
Full text not available from this repository.
Description/Abstract
We present a model for the evolution of networks of occupied sites on undirected regular graphs. At every iteration step in a parallel update, I randomly chosen empty sites are occupied and occupied sites having occupied neighbor degree outside of a given interval (t(l),t(u)) are set empty. Depending on the influx I and the values of both lower threshold and upper threshold of the occupied neighbor degree, different kinds of behavior can be observed. In certain regimes stable long-living patterns appear. We distinguish two types of patterns: static patterns arising on graphs with low connectivity and dynamic patterns found on high connectivity graphs. Increasing I patterns become unstable and transitions between almost stable patterns, interrupted by disordered phases, occur. For still larger I the lifetime of occupied sites becomes very small and network structures are dominated by randomness. We develop methods to analyze the nature and dynamics of these network patterns, give a statistical description of defects and fluctuations around them, and elucidate the transitions between different patterns. Results and methods presented can be applied to a variety of problems in different fields and a broad class of graphs. Aiming chiefly at the modeling of functional networks of interacting antibodies and B cells of the immune system (idiotypic networks), we focus on a class of graphs constructed by bit chains. The biological relevance of the patterns and possible operational modes of idiotypic networks are discussed.
| Item Type: | Article |
|---|---|
| ISSNs: | 1539-3755 |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Agents, Interactions & Complexity |
| Item ID: | 272891 |
| Date Deposited: | 29 Sep 2011 16:31 |
| Last Modified: | 02 Mar 2012 11:41 |
| Contributors: | Brede, Markus (Author) Behn, Ulrich (Author) |
| Date: | 2003 |
| Status: | Published |
| Publisher: | The American Physical Society |
| Further Information: | Google Scholar |
| ISI Citation Count: | 10 |
| URI: | http://eprints.soton.ac.uk/id/eprint/272891 |
Actions (login required)
 |
View Item |
