LPS (from gram-negatives) upregulates our gene expression for H2S production, does LTA (from gram-positives) also do the same?

In burn wounds and septic shock (by Staph.aureus) one finds greatly elevated H2S playing a role in inflammation. From that I am assuming the lipoteichoic acid (LTA) from S.aureus (a gram-positive) also upregulates our production of H2S in the same way that Lipopolysaccharides (LPS) from gram negatives (like E.coli) do. Is this assumption correct?

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