31.07.2015 Views

Advances in the stereoselective synthesis of antifungal agents and ...

Advances in the stereoselective synthesis of antifungal agents and ...

Advances in the stereoselective synthesis of antifungal agents and ...

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Chapter 2 51As [ES] <strong>in</strong> equation 4 can not be a measured experimentally, [E] 0 is<strong>in</strong>troduced represent<strong>in</strong>g <strong>the</strong> total enzyme concentration ( bound <strong>and</strong> freeenzyme); [S] is considered costant because <strong>the</strong> amount <strong>of</strong> substrate boundto <strong>the</strong> enzyme at any given time is negligible as compared to <strong>the</strong> totalconcentration <strong>of</strong> S.The steady state assumption proposes that <strong>the</strong> rates <strong>of</strong> formation <strong>and</strong>breakdown <strong>of</strong> ES are equal ( equation 5 ):K 1[E] [S] =K 2 [ES]+K 1 [ES]Equation 5Where [E]= [E] 0 -[ES].Equation 5 is resolved lead<strong>in</strong>g to an expression for [ES] (equation 6):[ES] =[E] 0 [S]K 2 + K -1K 1+ [S]Equation 6The value K 2 +K -1 /K 1 is <strong>the</strong> Michaelis-Menten constant Km, <strong>and</strong>equation 6 becomes equation 7:[ES] =[E] 0 [S]Km+ [S]Equation 7Now it is possible to change <strong>the</strong> [ES] <strong>in</strong> eq. 4 with <strong>the</strong> expression <strong>in</strong><strong>the</strong> eq.7 lead<strong>in</strong>g to equation 8:v =K 2 [E] 0 [S]Km+ [S]Equation 8

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!