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分形学在药代动力学中也有应用?

Fractals also in pharmacokinetics?

作者信息

Koch H P, Zacek H

机构信息

Institute of Pharmaceutical Chemistry, University of Vienna, Austria.

出版信息

Pharmazie. 1991 Dec;46(12):870-1.

PMID:1818324
Abstract

Under certain circumstances the time course of drugs and/or metabolites in body fluids and tissues may show a 'fractal pattern', i.e. manifestations of mainly irregular figures having identical or similar structures in their parts as in the whole. This will be demonstrated in this paper by means of just one example, although many more can be found easily in the literature. It appears that the fractal concept may also be useful in pharmacokinetics to describe the complexity of time-concentration curves by an additional parameter, the 'fractal dimension'. A simple principle is proposed for testing the 'self-similarity' which is useful as accompanying evidence of the fractal dimension.

摘要

在某些情况下,药物和/或代谢物在体液和组织中的时间进程可能呈现出“分形模式”,即主要为不规则图形的表现,其部分与整体具有相同或相似的结构。本文将仅通过一个例子对此进行说明,尽管在文献中很容易找到更多例子。似乎分形概念在药代动力学中也可能有用,通过一个额外的参数“分形维数”来描述时间-浓度曲线的复杂性。提出了一个简单的原则来测试“自相似性”,这对于作为分形维数的辅助证据很有用。

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引用本文的文献

1
Fractal geometry, fractal kinetics and chaos en route to biopharmaceutical sciences.
Eur J Drug Metab Pharmacokinet. 1996 Apr-Jun;21(2):77-86. doi: 10.1007/BF03190255.