Mathematical models for studying the drug release kinetics from dissolution profiles.

Table 4: Mathematical models for studying the drug release kinetics from dissolution profiles.

S.No	Model	Equation	Plot
1.	Zero order	$L n (\frac{M_{0}}{M_{t}}) {= K}_{0} t$	Cumulative amount of drug released versus time.
2.	First order	$M_{0} {- M}_{t} {= K}_{1} t$	Log of percentage of drug remaining unreleased versus time.
3.	Higuchi	$M_{t} = K \sqrt{t}$	Cumulative percent release versus square root of time.
4.	Hixson-Crowell	${(M_{0})}^{\frac{1}{3}} - {(M_{t})}^{\frac{1}{3}} {= K}_{\frac{1}{3}} t$	Cube root of drug percentage remaining in the matrix versus time.
5.	Korsemeyer-Peppas	$\frac{M_{t}}{M_{\infty}} {= Kt}^{n}$	Log of the cumulative percent drug release versus log of time.