Bayesian Hierarchical Modeling of Replicated SILAC Data Sample Clauses

Bayesian Hierarchical Modeling of Replicated SILAC Data. When a SILAC experiment is conducted in replicate, we have additional layers of data that we can use to estimate the true relative expression ratio of each protein. Let the true relative expression ratio of the jth protein in the sth replicated sample be denoted by µjs and the sample estimate of this quantity by yjs; j = ı, . . . , m∗, s = ı, . . . , S, where S is the number of replicate samples and m∗ is the number of proteins identified in common in all replicate samples. These additional layers of data can be brought into the framework discussed in Section 3.2.2 by augmenting the two level hierarchical model in (3.4) as follows Let, µjs yjs ∼ N (µjs, σ2 ) (3.46) j µjs ∼ tv(θj, Q2) (3.47) Σθ ∼ π N (η , δ ) (3.48)j c c c
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