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Pharmaceutical Manufacturing Handbook: Production and

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924 PHARMACEUTICAL PREFORMULATION<br />

C t = concentration of drug in bulk fl uid at given time<br />

K = partition coeffi cient<br />

h = thickness of stagnant layer<br />

If the bulk volume is large <strong>and</strong> the concentration of drug in the fl uid is much<br />

lower than the drug solubility ( C s > > C t ), it is regarded as a sink condition. In this<br />

case, the equation is much simpler <strong>and</strong> the dissolution behaviors continuously occur<br />

because the chemical potential ( C s − C t ) approximates drug solubility ( C s ).<br />

In a matrix tablet, the following Higuchi equations are given depending on the<br />

polymeric structures of the homogenous <strong>and</strong> porous matrix [20] :<br />

1/2<br />

⎧[<br />

D( 2A−CS)<br />

CSt]<br />

for homogenous matrix<br />

Q = ⎨<br />

1/2<br />

⎩[<br />

Dε( 2A−εC<br />

) C t ] / τ for<br />

porous matrix<br />

S S<br />

In the dissolution of granular powders, the Hixson – Crowell equation is also<br />

established as<br />

1/3 1/3<br />

Q − Q = kt for granular powders<br />

0<br />

Testing Method In addition to formulation <strong>and</strong> manufacturing controls, the method<br />

of dissolution testing also must be controlled to minimize important variables such<br />

as paddle rotational speed, vibration, <strong>and</strong> disturbances by sampling probes. The<br />

USP includes seven apparatus designs for drug release <strong>and</strong> dissolution testing of<br />

immediate - release oral dosage forms, extended - release products, enteric - coated<br />

products, <strong>and</strong> transdermal drug delivery devices:<br />

Apparatus I: rotating basket method, 25 – 150 rpm (100 rpm)<br />

Apparatus II: rotating paddle method, 25 – 150 rpm (50 rpm)<br />

Apparatus III: reciprocating cylinder method, inner tube (5 – 40 dips/min), outer<br />

tube (300 mL)<br />

Apparatus IV: fl ow - through method: 4 – 16 mL/min<br />

Apparatus V: paddle over disc<br />

Apparatus VI: cylinder method<br />

Apparatus VII: reciprocating holder method<br />

Detailed guidelines for dissolution testing are described in monographs of many<br />

pharmacopeias. The USP apparatus I <strong>and</strong> USP apparatus II are used principally for<br />

tablet dissolution testing. In USP apparatus I, the dosage unit is placed inside the<br />

basket. In USP apparatus II, the dosage unit is placed on the bottom in the vessel.<br />

In each test, a volume of the dissolution medium (500 – 900 mL in general) is placed<br />

in the vessel <strong>and</strong> allowed to come to 37 ± 0.5 ° C. Then the stirrer is rotated at the<br />

specifi ed speed (50 – 200 rpm). The samples of the medium are withdrawn for analysis<br />

of the proportion of drug dissolved. The tablet or capsule must meet the stated<br />

monograph requirement for rate of dissolution. For example, “ not less than 85% of<br />

the labeled amount is dissolved in 30 minutes in case of immediate release tablet. ”<br />

In a fl oating tablet, the sinker can be used in the paddle method.

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