Network module detection: Affinity search technique with the multi-node topological overlap measure

Network neighborhood analysis with the multi-node topological overlap measure

MOTIVATION The goal of neighborhood analysis is to find a set of genes (the neighborhood) that is similar to an initial 'seed' set of genes. Neighborhood analysis methods for network data are important in systems biology. If individual network connections are susceptible to noise, it can be advantageous to define neighborhoods on the basis of a robust interconnectedness measure, e.g. the topolo...

The Multi-Node Topological Overlap Measure For Gene Neighborhood Analysis

Defining the neighborhood of an initial set of nodes is an important task in network analysis. For example, we show that the neighborhood of an initial set of brain cancer related genes is highly enriched with other cancer genes as well. It remains an active area of research to define a biologically meaningful concept of neighborhood in gene or protein networks. In gene networks, genes with hig...

Generalizations of the Topological Overlap Matrix for Module Detection in Gene and Protein Networks

On the topological centers of module actions

In this paper, we  study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and  ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.

Detection of node group membership in networks with group overlap

Most networks found in social and biochemical systems have modular structures. An important question prompted by the modularity of these networks is whether nodes can be said to belong to a single group. If they cannot, we would need to consider the role of “overlapping communities.” Despite some efforts in this direction, the problem of detecting overlapping groups remains unsolved because the...