Question $3$:

$[30]$

For noncompetitive enzymatic reactions with the steps given as;

Reaction Steps

$(1)E+SE*S$

$(2)E+II*E($inactive$)$

$(3)I+E*SI*E*S($inactive$)$

$(4)S+I*EI*E*S($inactive$)$

$(5)E*SlongrightarrowP+E$

$($a$)$ Draw schematically the reaction pathway showing enzyme and substrate attachment, and show the reaction equation

$($b$)$ Show that the rate of disappearance of substrate or formation of the product is:

$-r_s=\frac{V_{\text{m}\text{a}\text{x}}(S)}{((S)+K_M)(1+\frac{(I)}{K_{\text{I}}})}$