Some Stereological Principles in Morphometric Cytology
- Creators
- Franklin, Joel N.
Abstract
In this paper several statistical methods are developed that are of use in morphometric cytology, for the purpose of obtaining three-dimensional information from two-dimensional measurements made on cell sections. An estimator is described for counting $N_V $, the number of organelles (e.g., mitochondria) per unit of cellular volume. Unlike those currently employed, this estimator for $N_V $ does not depend on the sizes of the organelle bodies. The remainder of the paper discusses the axis ratios, $t$, of elliptical cross sections that are the intersections of an ellipsoid with random planes. For prolate spheroids, an explicit formula is developed for the probability density. For general ellipsoids, a numerical method is presented for calculating the distribution function. As one approach toward deriving information about organelle shape, frequency distributions of $t$ derived by these techniques may be compared with experimental frequency distributions of the axis ratios of organelle cross sections.
Additional Information
©1977 Society for Industrial and Applied Mathematics Received by the editors June 4, 1976, and in revised form October 29, 1976.Files
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Additional details
- Eprint ID
- 4870
- Resolver ID
- CaltechAUTHORS:FRAsiamjam77
- Created
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2006-09-11Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field