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Lognormal Distribution of Cellular Uptake of Radioactivity: Statistical Analysis of -Particle Track Autoradiography

Division of Radiation Research, Department of Radiology, New Jersey Medical School, University of Medicine and Dentistry of New Jersey, Newark, New Jersey

Correspondence: For correspondence or reprints contact: Roger W. Howell, Department of Radiology, MSB F-451, New Jersey Medical School, University of Medicine and Dentistry of New Jersey, 185 S. Orange Ave., Newark, NJ 07103. E-mail: rhowell{at}umdnj.edu

Recently, the distribution of radioactivity among a population of cells labeled with ²¹⁰Po was shown to be well described by a lognormal (LN) distribution function (J Nucl Med. 2006;47:1049–1058) with the aid of autoradiography. To ascertain the influence of Poisson statistics on the interpretation of the autoradiographic data, the present work reports on a detailed statistical analysis of these earlier data. Methods: The measured distributions of -particle tracks per cell were subjected to statistical tests with Poisson, LN, and Poisson-lognormal (P-LN) models. Results: The LN distribution function best describes the distribution of radioactivity among cell populations exposed to 0.52 and 3.8 kBq/mL of ²¹⁰Po-citrate. When cells were exposed to 67 kBq/mL, the P-LN distribution function gave a better fit; however, the underlying activity distribution remained lognormal. Conclusion: The present analysis generally provides further support for the use of LN distributions to describe the cellular uptake of radioactivity. Care should be exercised when analyzing autoradiographic data on activity distributions to ensure that Poisson processes do not distort the underlying LN distribution.

Key Words: Poisson • log normal • Poisson-log normal • ²¹⁰Po • autoradiography • -particle tracks • reduced chi-square

COPYRIGHT © 2008 by the Society of Nuclear Medicine, Inc.

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