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Bioinformatics Algorithms: Techniques and Applications

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3<br />

GRAPH THEORETICAL APPROACHES<br />

TO DELINEATE DYNAMICS OF<br />

BIOLOGICAL PROCESSES<br />

Teresa M. Przytycka<br />

National Center for Biotechnology Information, National Library of Medicine, National<br />

Institutes of Health, Bethesda, MD, USA<br />

Elena Zotenko<br />

National Center for Biotechnology Information, National Library of Medicine, National<br />

Institutes of Health, Bethesda, MD, USA, <strong>and</strong> Department of Computer Science, University of<br />

Maryl<strong>and</strong>, College Park, MD, USA<br />

3.1 INTRODUCTION<br />

Graphs are used in Computational Biology to model the relationships between<br />

biological entities. For example, experimentally determined protein interactions<br />

are commonly represented by a graph, the so-called protein interaction network,<br />

where proteins are nodes <strong>and</strong> every pair of interacting proteins is connected by<br />

an edge. Even though such a representation may not capture all the complexity of<br />

protein interactions in underlying biological processes, the study of the topological<br />

properties of these networks has become an important tool in searching for general<br />

principles that govern the organization of molecular networks. For example, it was<br />

observed that in protein interaction networks some types of small-size subnetworks<br />

are much more abundant than would be expected by chance [54]. The discovery of<br />

these overrepresented subnetworks or network motifs has led to investigation of their<br />

<strong>Bioinformatics</strong> <strong>Algorithms</strong>: <strong>Techniques</strong> <strong>and</strong> <strong>Applications</strong>, Edited by Ion I. Mǎndoiu<br />

<strong>and</strong> Alex<strong>and</strong>er Zelikovsky<br />

Copyright © 2008 John Wiley & Sons, Inc.<br />

29

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