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Comparative Evaluation Between Mathematical Models For Drug Release Of Curcumin Loaded Multifunctional Albumin Nanoparticles

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COMPARATIVE EVALUATION BETWEEN MATHEMATICAL MODELS FOR DRUG RELEASE OF CURCUMIN LOADED MULTIFUNCTIONAL ALBUMIN NANOPARTICLES

Abstract:
Curcumin loaded albumin nanoparticles were employed for intra-tumoral chemotherapy for treatment of solid tumors1. Drug release study for Curcumin was monitored in-vitro using dialysis1. The drug release data was fitted into 5 mathematical models such as zero order, first order, Hixen-Crowell, Higuchi release and Korsmeyes-Peppas release kinetics model. R2 coefficient was compared and was concluded that Higuchi release kinetics model is best suited for the drug release kinetics for Curcumin.

Introduction and Significance:
Nanoparticle formulations have found extensive applications as drug delivery …show more content…

Analysis:
Drug release data for curcumin was fitted into 5 mathematical models and studied to determine the best mathematical model. The model chosen were:
i. Zero Order Kinetics
The zero-order kinetics depends upon the initial concentration of the drug loaded on the nanoparticles and refers to constant release of drug5,6. Zero order kinetics is represented as:
Qt=Qo+k*t
Qt = amount of drug dissolved in time t, Qo=initial amount of drug, k=zero order kinetics constant

ii. First Order Kinetics
The release of the drug which followed first order kinetics can be expressed by the equation7: log C = log C0-Kt / 2.303
Co is the initial concentration of drug, k is the first order rate constant, and t is the time

iii. Hixon-Crowell Release Kinetics
Hixson and Crowell derived the equation: Q01/3-Qt1/3 = κ*t where Q0 is the initial amount of drug, Qt is the remaining amount of drug at time t and κ (kappa) constant incorporates surface volume relation. The equation describes the release from systems where there is a change in surface area and diameter of particles or tablets9.

iv. Higuchi Release Kinetics
Higuchi drug release kinetics model was proposed Higuchi in 1961 based on a matrix system8. The matrix model is based on initial drug concentration in the, instantaneous drug

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