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Equation 9 · Structure from Sequence: What Protein Folding Prediction Did and Did Not Settle

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hih_i

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the single-site fields. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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hih_i

Symbol h_i

the single-site fields.

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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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with single-site fields hih_i and pair couplings eije_{ij} fitted so that the model reproduces the single-column and pairwise frequencies of the alignment. Marks and colleagues reported that the strength of the inferred couplings is a strong predictor of residue proximity in the folded structure, and that the top-scoring couplings are accurate and well-distributed enough to define a three-dimensional fold [ 5 ] . Morcos and colleagues developed a computationally efficient direct-coupling analysis that disentangled direct from indirect correlations and evaluated contact-prediction accuracy across a large number of protein domain families from sequence information alone [ 6 ] .

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