Scientific Reports 5: Article number: 15147; published online: 20 October 2015; updated: 20 May 2016.

This Article contains typographical errors.

In the Results section under subheading ‘METRADE: a novel method to integrate and optimize gene expression and codon usage in FBA’,

“Through the function h(.), the gene expression arrays have a continuous effect on the FBA model, rather than only an on/off effect on reactions as in the Boolean approaches.”

should read:

“Through the function h(·), the gene expression arrays have a continuous effect on the FBA model, rather than only an on/off effect on reactions as in the Boolean approaches.”

In the Results section under subheading ‘Mapping genotype-phenotype associations to multidimensional objective spaces’,

“Then, we solve the bilevel problem (4) replacing the function h with the function , where is the variance of the gene set responsible for the ith reaction, and γ is a weight for the variance.”

should read:

“Then, we solve the bilevel problem (4) replacing the function h with the function , where is the variance of the gene set responsible for the ith reaction, and γ is a weight for the variance.”