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Digital Commons Network

Open Access. Powered by Scholars. Published by Universities.®

2006

Selected Works

Medicine and Health Sciences

University of Massachusetts Amherst

Statistical models

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Tailor-Made Composite Functions As Tools In Model Choice: The Case Of Sigmoidal Vs. Bi-Linear Growth Profiles, Tobias I. Baskin, Winfried S. Peters Jan 2006

Tailor-Made Composite Functions As Tools In Model Choice: The Case Of Sigmoidal Vs. Bi-Linear Growth Profiles, Tobias I. Baskin, Winfried S. Peters

Tobias Baskin

Background Roots are the classical model system to study the organization and dynamics of organ growth zones. Profiles of the velocity of root elements relative to the apex have generally been considered to be sigmoidal. However, recent high-resolution measurements have yielded bi-linear profiles, suggesting that sigmoidal profiles may be artifacts caused by insufficient spatio-temporal resolution. The decision whether an empirical velocity profile follows a sigmoidal or bi-linear distribution has consequences for the interpretation of the underlying biological processes. However, distinguishing between sigmoidal and bi-linear curves is notoriously problematic. A mathematical function that can describe both types of curve equally well …