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Target Discovery and Validation Reviews and Protocols

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Gene Networks 45<br />

r is the dimension of , <strong>and</strong> ˆ is the mode of l λ ( | D). Based on the result of the<br />

Laplace approximation, Imoto et al. (9) derived a criterion named Bayesian<br />

network <strong>and</strong> nonparametric regression criterion (BNRC) for choosing the<br />

optimal graph:<br />

BNRC(G) =−2logπ prior (G)− r log(2π / n)<br />

+ log | J λ ( ˆ<br />

θ | D)|−2nl λ ( ˆ θ | D).<br />

The optimal graph ˆG is chosen such that the criterion defined in Eq. 5 is<br />

minimal. Imoto et al. (10) also extended the results of Imoto et al. (9) to h<strong>and</strong>le<br />

the nonparametric heteroscedastic regression.<br />

Recently, research is underway to estimate gene networks from multisource<br />

biological information (see Note 8). Also, the Bayesian networks force us to<br />

consider gene networks as dags, whereas the real biological systems have cyclic<br />

regulation. Some research has dealt with cyclic regulations based on the<br />

dynamic models (see Note 9).<br />

3.2.4. Application of Bayesian Networks for Identifying Druggable Genes<br />

We selected 735 genes from the yeast genome for identifying drug targets<br />

based on the 120 gene disruptant data <strong>and</strong> drug response time-course data.<br />

These genes were selected based on the following strategy. We collected 314 genes<br />

that are known as transcription factors. Ninety-eight of these 314 genes have<br />

already been studied for their control mechanisms. The expression data for 735<br />

genes chosen for our analysis includes the genes controlled by these 98 transcription<br />

factors from 5871 genes in addition to nuclear receptor-like genes, which<br />

have a pivotal role in gene expression regulation <strong>and</strong> are popular drug targets. We<br />

have constructed the Bayesian network models described in Subheading 3.2.3.<br />

of these 735 genes from 120 gene disruption conditions. The druggable genes<br />

are the drug targets related to these drug-affected genes, which we want to identify<br />

for the development of novel leads. We can explore the druggable genes<br />

upstream of the drug-affected genes in the estimated gene network by the<br />

Bayesian network method. Here, we focus on the nuclear receptor-like genes as<br />

the druggable genes for two reasons. (1) In general, nuclear receptor proteins<br />

are known to be useful drug targets, <strong>and</strong> together they represent more than 20%<br />

of the targets for medications presently on the market. (2) Nuclear receptors are<br />

involved in transcription regulatory affects that are directly measured in cDNA<br />

microarray experiments.<br />

Figure 7 shows a partial resulting network. The druggable genes (top)<br />

that are the nuclear receptor-like genes in the circle connect directly to the<br />

drug-affected genes, <strong>and</strong> other druggable genes have one intermediary gene per<br />

(5)

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