Controversy in the allometric application of fixed- versus varying-exponent models

A statistical and mathematical perspective

Huadong Tang, Azher Hussain, Mauricio Leal, Eric Fluhler, Michael Mayersohn

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This commentary is a reply to a recent article by Mahmood commenting on the authors' article on the use of fixed-exponent allometry in predicting human clearance. The commentary discusses eight issues that are related to criticisms made in Mahmood's article and examines the controversies (fixed-exponent vs. varying-exponent allometry) from the perspective of statistics and mathematics. The key conclusion is that any allometric method, which is to establish a power function based on a limited number of animal species and to extrapolate the resulting power function to human values (varying-exponent allometry), is infused with fundamental statistical errors.

Original languageEnglish (US)
Pages (from-to)402-410
Number of pages9
JournalJournal of Pharmaceutical Sciences
Volume100
Issue number2
DOIs
StatePublished - Feb 2011

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Statistical Models
Theoretical Models
Mathematics

Keywords

  • Allometry
  • Clearance
  • Fixed-exponent allometry
  • PK predictions
  • Varying-exponent allometry

ASJC Scopus subject areas

  • Pharmaceutical Science

Cite this

Controversy in the allometric application of fixed- versus varying-exponent models : A statistical and mathematical perspective. / Tang, Huadong; Hussain, Azher; Leal, Mauricio; Fluhler, Eric; Mayersohn, Michael.

In: Journal of Pharmaceutical Sciences, Vol. 100, No. 2, 02.2011, p. 402-410.

Research output: Contribution to journalArticle

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