A Differential Equation Model for Dissolution Profiles, and its uses in Designing Dosage Forms

作     者：Pardo, Scott 

作者机构：Bayer Diabet Care Tarrytown NY 10591 USA 

出 版 物：《STATISTICS IN BIOPHARMACEUTICAL RESEARCH》 (生物制药研究统计)

年 卷 期：2009年第1卷第2期

页      面：194-200页

核心收录：

学科分类：0710[理学-生物学] 1007[医学-药学(可授医学、理学学位)] 0714[理学-统计学（可授理学、经济学学位）] 10[医学] 

主　　题：Designed experiments Differential equations Dissolution modeling Nonlinear programming Optimization 

摘      要：Many types of mathematical models for in-vitro dissolution for solid dosage forms, or percent dissolved as a function of time, have been fit to data. Usually the goals of dissolution modeling are demonstrating equivalence in dissolution between different dosage forms, and aiding in the dosage form design process. This article presents a differential equation model of dissolution, and empirically compares some special forms of the general solution to this equation. Data from a designed mixture experiment are then used in conjunction with the parametric models fit to the data by least squares regression. A nonlinear programming approach is employed to find optimal blends.