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A value of −100% represents a sequence window encoded using only the most rare codons, while a value of 100% represents a sequence encoded using only the most common codons.
To evaluate the relative rareness of any given mRNA sequence, the %MinMax algorithm compares the codon usage frequency of the sequence to the usage frequency for theoretical sequences encoding the same amino acid sequence using the most common or most rare codons (see Methods).
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Approximately 18% rare E. coli codons are presented in PiCV cap gene, and most of rare codons are basic amino acid residues, such as lysine (K) and arginine (R) and are presented near the 5'-end of the cap gene.
Most of the bias for rare codons occurs before codon 15 (dashed line), while the pause-enrichment in membrane proteins occurs only later.
In most genes an exchange of rare codons with synonymous, more frequent codons is neutral or even increases the yield of soluble protein [ 4, 13, 14].
However, it seems that a prediction of RCRRs has to be restricted to single homologous families In most cases the substitution of rare codons with more frequent codons leads to increased protein yields in heterologous gene expression.
%MinMax defines the relationship between a given mRNA sequence and hypothetical sequences encoding the same protein using the most rare (minimum) or most common (maximum) codons, as a function of the arithmetic mean of all possible codon usage frequencies.
Essentially, rare codons were replaced with the most frequently used E.coli codon for each particular amino acid.
Codon usage has been shown to impair expression of bacterial genes in eukaryotes [ 20, 21], most probably due to depletion of tRNAs for rare codons.
There is under-enrichment of the most common glycine, arginine and threonine codons, though no rare codons are specifically over-enriched.
As a result, the most common strategy for codon optimization is to replace rare codons with more frequently occurring ones, thereby matching the CUB of the host organism.
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