Abstract

Biological network alignment (NA) aims to identify similar regions between molecular networks of different species. NA can be local or global. Just as the recent trend in the NA field, we also focus on global NA, which can be pairwise (PNA) and multiple (MNA). PNA produces aligned node pairs between two networks. MNA produces aligned node clusters between more than two networks. Recently, the focus has shifted from PNA to MNA, because MNA captures conserved regions between more networks than PNA (and MNA is thus hypothesized to yield higher-quality alignments), though at higher computational complexity. The issue is that, due to the different outputs of PNA and MNA, a PNA method is only compared to other PNA methods, and an MNA method is only compared to other MNA methods. Comparison of PNA against MNA must be done to evaluate whether MNA indeed yields higher-quality alignments, as only this would justify MNA's higher computational complexity. We introduce a framework that allows for this. We evaluate eight prominent PNA and MNA methods, on synthetic and real-world biological networks, using topological and functional alignment quality measures. We compare PNA against MNA in both a pairwise (native to PNA) and multiple (native to MNA) manner. PNA is expected to perform better under the pairwise evaluation framework. Indeed this is what we find. MNA is expected to perform better under the multiple evaluation framework. Shockingly, we find this not always to hold; PNA is often better than MNA in this framework, depending on the choice of evaluation test.

Highlights

  • We evaluate pairwise NA (PNA) and multiple NA (MNA) on synthetic networks with known true node mapping and real-world protein interaction networks (PINs) of different species with unknown node mapping

  • This could be due to multiMAGNA++ being a one-to-one MNA method, which might have caused it to behave as PNA methods when it is used to align only two networks

  • MultiMAGNA++ is an exception: its alignments from the ME-M-P category are ranked very good

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Summary

Introduction

A. MOTIVATION AND BACKGROUND Networks can be used to model complex real-world systems in many domains, including computational biology. A popular type of biological networks are protein interaction networks (PINs). While PIN data are available for multiple species [1], the functions of many proteins in many species remain unknown [2], [3]. Network alignment (NA) compares networks to find a node mapping that conserves similar regions between the networks. Analogous to genomic sequence alignment, NA can be used to predict protein functions by transferring functional knowledge from a well-studied species to a poorly-studied one between the species’ conserved (aligned) PIN regions [4]–[8]. While we focus on the biological NA of PINs, NA can be used for many

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