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Pharmaceutical Technology: Controlled Drug Release, Volume 2

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MATRIX FORMULATIONS [CH. 3 37<br />

Table 2—Geometric dependence of diffusional exponent (n) of equation (1)<br />

technique are given by Bamba et al. [9] and Capan et al. [10]. They proposed the following<br />

mechansims which may be rate determining in the release of drug from a system: (a) the<br />

permeation of water; (b) the gelation rate; (c) the diffusion rate of drug in the gel; (d) the<br />

dissolution rate of the drug in penetrating water; (e) the Higuchi porous penetration [6]. If the<br />

release pattern of drug from the formula is dictated by process (a), (b) and (c), then it is first-order<br />

release and equation (2) should be applicable. If the release is represented by process (d), then a<br />

cube root relationship should hold (equation (3)), and if it is governed by porous penetration then<br />

the Higuchi square root law should apply equation (4).<br />

(2)<br />

(3)<br />

(4)<br />

where W is the percentage of drug undissolved at time t (h), k f (h −1 ) and i are the first-order<br />

dissolution rate constant and the intercept of the log-linear plot of the type in equation (2). k c (h 1/3 )<br />

is the cube root dissolution rate constant and k d (h −1/2 ) is the Higuchi constant. To compare the<br />

data statistically, the dependent parameter must be in the same form (linear, logarithmic, etc.);<br />

therefore, the equations have been recast in the forms shown below, for comparison:<br />

(2a)<br />

(3a)<br />

(4a)<br />

The goodness of fit was evaluated by the residuals and correlation coefficients are given in<br />

Table 3. For polyvinyl chloride, glycerol palmitostearate, carbomer and methylcellulose matrix<br />

tablets, equation (4) showed a significantly better fit than equations (2) and (3) by the F test.<br />

Since carbomer is an hydrophilic matrix, it is expected that the release rate be governed by the<br />

gelation rate (ln W=−kft+i). However, the best fit was obtained with the square root equation and<br />

the release rate constants determined from the slopes of the linear fit for carbomer matrix tablets<br />

are given in Table 4. Similar results were also obtained by Lapidus and Lordi [11], who applied the<br />

equations derived by Higuchi [6], and Desai et al. [12,13] for drug release from an insoluble<br />

matrix to a compressed hydrophilic matrix. Water penetration is visualized as hydrating the polymer<br />

and dissolving potassium chloride which then diffuses out through the swollen matrix. A decrease

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