Question $4.$

$($a$)$ Discuss how chemical and enzymatic kinetics are relevant to transport phenomena.

$($b$)$ What are the dimensions of the reaction rate constants for zeroth$-,$ first$-$ and second$-$

order reactions? Are they the same?

$($c$)$ What are the maximum reaction rates of the following reaction:

$E+S{}_{k_{-1}}^{k_1}ES{k}_{2}P+E$

for Michaelis$-$Menten and Briggs$-$Haldane enzyme kinetics respectively? Under

what situations would these maximum rates be observed?

$($d$)$ For the following reaction kinetics,

$E+S{}_{k_{II}}^{k_1}(ES{)}_0{}_{k_{If}}^{k_{1b}}ES{k}_{2}P+E$

develop the rate expressions for forming the product under

$($i$)$ the equilibrium approach similar to Michaelis$-$Menten;

$($ii$)$ the quasi$-$steady state approximation.

$($e$)$ Imagine having a pulsatile flow through an oscillatory pressure driven flow through

a biological tissue that can be treated as a porous medium, how would the mass and

momentum balances be modified?