Franklin, Joel N. (1977) Some Stereological Principles in Morphometric Cytology. SIAM Journal of Applied Mathematics, 33 (2). pp. 267-278. ISSN 0036-1399. http://resolver.caltech.edu/CaltechAUTHORS:FRAsiamjam77
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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.|
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|Deposited On:||11 Sep 2006|
|Last Modified:||26 Dec 2012 09:02|
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