An Application of Prony’s Sum of Exponentials Method to Pharmacokinetic Data Analysis

作     者：J.Fuite R.E.Marsh J.A.Tuszynski 

作者机构：Department of PhysicsUniversity of AlbertaEdmontonAlbertaT6G 2J1Canada. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2007年第2卷第1期

页      面：87-98页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

主　　题：Data analysis pharmacokinetics modelling Prony’s method. 

摘      要：We discuss the basic concept of compartmental modelling in pharmacokinetics and demonstrate that all the solutions admitted by multi-compartment models of classical pharmacokinetics are expressed as linear combinations of exponential functions of *** lends itself to data analysis that depends on fitting exponential functions to finite size sets.A mathematical method developed a long time ago to deal with this type of problem is called Prony’s *** discuss the usefulness of this method in pharmacokinetic modeling and apply it to a particular data set obtained for the drug *** spite of the method’s power in dealing with well-behaved data sets,we indicate the existence of severe limitations since real concentration curves coming from pharmacokinetic data are seldom purely exponential.