摘要
The objective of this paper is to derive a tentative mathematical formula of drug permeability of biodegradable membrane for implant use on the basis of Buckingham P i Theorem in principles of dimensional analysis.Such a theoretical predictive formula would be very useful for not only designing a sustained release system of drug made of biodegradable material for implant use before it is made but also for saving much time and expenses of the experiment. Three basic units were selected to describe the problem due to the invariableness of temperature under the normal physiological condition.They are mass,length and time.At first,a general mathematical formula was derived from Buckingham P i Theorem,in which the relevant parameters were placed into dimensionless Π groups.Secondly,as a special case interested to us,we gave out a predictive formula of permeability of various drugs with different molecular weights and saturated concentrations through Polylactic Acid Membrane with specified characteristics for implant use.For this end,we computed six kinds of drugs.The linear regression analysis of the relationship among these Π groups with drug permeability yielded coefficients for the corresponding Π groups.The obtained results in our paper mainly fitted in with ones obtained by the experiments under in vitro condition.Finally,a computer program for predicting drug permeability was given out in this article.
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