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We executed clasp using the sum-of-pair cost model with, (only punish for distance differences with half of the match score) fragment scores according to the length of the BLAST hit, and a minimal required chain score of 30.
Clearly, f' and f may never be chained and can be assigned to different clusters if (3) where max score is the highest possible chain score and max y is the maximal distance of fragments on the query sequence.
Hence, the objective is to determine the best chain 𝒞*ℳ, S of PSSM matches in a sequence S for a given family model ℳ and their chain score (3) (4) We call such a chain an optimal chain.
The smaller the p-values of the matches in a chain (i.e. the more significant the matches of single PSSMs M are), the larger the fragment weights get, and hence the overall chain score.
Matches to a model were ranked by their method-specific scores in descending order, i.e. in case of PoSSuMsearch2 the best chain score csc*ℳ, S, and in case of hmmsearch the sequence classification score.
With a chain score cutoff of 5000, the summed length of homologous Xenopus regions in the pairwise alignments was 657,812,008 bp, or 2% of the Xenopus genome.
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In each test case, the quality of the chains was assessed by comparing the distributions of chain scores reported by both programs.
Consequently, chains that consist of a number of significant matches are assigned larger chain scores than those with fewer, or many less significant matches.
With the definition of optimal chains and their chain scores, we introduce a quantifiable, rankable criterion of match quality to our PSSM-FM concept, making it applicable for sequence classification.
Yet, our experiments confirm our chain scoring to work well in practice; it is significantly better than a more straightforward strategy that simply computes the product of raw p-values, i.e. one that sets α(M, s)=−ln(π(M, s)) (see Fig. 2 in the Supplementary Material).
The whole-chain score is three times less than the weighted sum over three domains, indicating that the domain arrangement was modeled randomly by servers and did not closely match the target domain arrangement.
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