Table 1 description of some mathematical models used to determine drug release from drug delivery systems

Zero-order

Q₀ − Q_t = K₀t

Q_t is the drug released amount at time t; Q₀ is the initial concentration of drug at time. K₀ is the release constant of zero-order kinetic

First-Order

logQ_r = log Q₀ − K₁t/2.303

Q_r is the drug remaining amount at time t, K₁ is the release constant of first-order kinetic.

Higuchi

Q = K_H*t^1/2

K_H is the release constant of Higuchi Kinetic

Hixson-Crowell

Q₀^1/3 − R_t^1/3 = K_HCt

R_t is the drug remaining amount at time t; K_HC is the release constant of Hixson-Crowell Kinetic.

Korsmeyer-Peppas

Q_t/Q_∞ = K_kp*tⁿ

Q_t/Q_∞ is a drug released fraction at time t, n is the diffusional exponent or drug release exponent, and K_kp is the release constant of Korsmeyer-Peppas Kinetic