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4 - Central Institute of Brackishwater Aquaculture

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Natlonal Workshop-cum-Training on Bioinfwmatics and Information Management in <strong>Aquaculture</strong><br />

3.3.1. Hierarchical Clustering<br />

The hierarchical clustering can be represented as a tree, or a dendrogram.<br />

Branch lengths represent the degree <strong>of</strong> similarity between the genes.<br />

Hierarchical clustering consists <strong>of</strong> two separate phases. The hierarchical<br />

clustering is performed as follows; Each gene is assigned to a cluster <strong>of</strong> its own.<br />

The closest pair <strong>of</strong> clusters is found and merged into a single cluster. The<br />

distances (similarities) between the new clusters are computed and each <strong>of</strong> the<br />

old clusters using either single, average or complete linkage method. Above<br />

steps are repeated until all genes are clustered.<br />

Fig4. An Example <strong>of</strong> Hierarchical clustering <strong>of</strong> C, carpio obtained using MeV<br />

s<strong>of</strong>tware<br />

In single linkage clustering, the distance between one cluster and another is<br />

considered to be equal to the shortest distance from any member <strong>of</strong> one cluster<br />

to any member <strong>of</strong> the other cluster. In complete linkage clustering, the distance<br />

between one cluster and another cluster is considered to be equal to the longest<br />

distance from any member <strong>of</strong> one cluster to any member <strong>of</strong> the other cluster. Jn<br />

average linkage, the distance between one cluster and another cluster is<br />

considered to be equal to the average distance from any member <strong>of</strong> one cluster<br />

to any member <strong>of</strong> the other cluster.<br />

3.3.2. Self-organizing Map<br />

Kohonen's self-organizing map (SOM) is a neural net that uses unsupervised<br />

learning. SOM tries to learn to map similar input vectors (gene expression<br />

pr<strong>of</strong>iles) to similar regions <strong>of</strong> the output array <strong>of</strong> nodes. The method maps the<br />

multidimensional distances <strong>of</strong> the feature space to two-dimensional distances in<br />

the output map. In SOMs, the number <strong>of</strong> clusters has to be predetermined. The<br />

dimensions <strong>of</strong> the two-dimensional grid or array give the value. One has to

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