Stereological estimation of particle shape and orientation from volume tensors

Rafati, A. H.; Ziegel, Johanna F.; Nyengaard, J. R.; Jensen, E. B. Vedel (2016). Stereological estimation of particle shape and orientation from volume tensors. Journal of microscopy, 263(3), pp. 229-237. Wiley-Blackwell 10.1111/jmi.12382

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In the present paper, we describe new robust methods of estimating cell shape and orientation in 3D from sections. The descriptors of 3D cell shape and orientation are based on volume tensors which are used to construct an ellipsoid, the Miles ellipsoid, approximating the average cell shape and orientation in 3D. The estimators of volume tensors are based on observations in several optical planes through sampled cells. This type of geometric sampling design is known as the optical rotator. The statistical behaviour of the estimator of the Miles ellipsoid is studied under a flexible model for 3D cell shape and orientation. In a simulation study, the lengths of the axes of the Miles ellipsoid can be estimated with CVs of about 2% if 100 cells are sampled. Finally, we illustrate the use of the developed methods in an example, involving neurons in the medial prefrontal cortex of rat.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science

UniBE Contributor:

Ziegel, Johanna F.

Subjects:

300 Social sciences, sociology & anthropology > 360 Social problems & social services
500 Science > 510 Mathematics

ISSN:

0022-2720

Publisher:

Wiley-Blackwell

Language:

English

Submitter:

Lutz Dümbgen

Date Deposited:

29 Feb 2016 15:13

Last Modified:

25 Apr 2017 23:43

Publisher DOI:

10.1111/jmi.12382

PubMed ID:

26823192

BORIS DOI:

10.7892/boris.76071

URI:

https://boris.unibe.ch/id/eprint/76071

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