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It has been estimated that a minimum sequence of 13 14 base pairing nucleotides is required for the specific targeting of an unique RNA species in the human transcriptome [35].
Lemma 2. If the affine cost for duplications is non-decreasing and Φ is non-decreasing and obeys the triangle inequality then the cost of a minimum sequence of duplicate and delete operations that generates a target string y from a source string x is equal to the cost of a minimum sequence of duplicate-delete operations that generates y from x. Proof.
The problem of computing the minimum sequence of operations that transforms one genome into another – which is equivalent to the problem of sorting a permutation into the identity permutation – is a well-studied problem that finds application in comparative genomics.
The duplication-inversion-deletion distance from a source string x to a target string y is the cost of a minimum sequence of duplicate and duplicate-invert operations from x and deletion operations, in any order, that generates y.
In order to find the optimal (i.e. minimum) sequence of duplicate operations that generate y, we must consider all subsequences of y that could have been generated by a single duplicate operation.
Having the distance measure defined between each pair of nodes in the input image, the task of finding the optimal path is simply that of finding a minimum sequence of distances from end to end.
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First MIRA3 [ 76] was used with the assembly settings of minimum sequence overlap of 30 bp and minimum percentage overlap identity of 80%.
The EST sequences were assembled into contigs using CAP3 [ 9] under high stringency parameters of a minimum sequence identity of 98%; minimum overlap length of 40 nt; gap penalty, 6; match value, 2; mismatch penalty (−5).
The default assembly options of minimum read length of 40 nucleotides, minimum sequence overlap of 40 nucleotides and a minimum relative overlap score of 80% of similarity were used.
Assembly for contigs was performed with match size of 50, minimum match percentage of 97, minimum sequence length of 100.
NAHR-mediated events were inferred from a search of homologous blocks in the areas around the breakpoints (+/−500 bp) of minimum length of 30 bp and minimum sequence identity of 85%.
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