Estimation of tubule or cylinder LV, SV and VV on thick sections

Jørgen, Hans; Gundersen, Gregory W.

doi:10.1111/j.1365-2818.1979.tb04690.x

Cited by 75 publications

(2 citation statements)

References 10 publications

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“…Other papers examine relationships between the sizes of cylindrical objects and the sizes of their section profiles (e.g., Refs. 4 and [13][14][15][16][17][18][19]. This approach is mainly applied to biological and medical objects.…”

Section: Discussionmentioning

confidence: 99%

Determination of Size Distribution of Elliptical Microvessels from Size Distribution Measurement of Their Section Profiles

Krasnoperov

Gerasimov

2003

Exp Biol Med (Maywood)

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In transmission electron microscopy, microvessels (MVs) are studied as profiles on ultrathin sections. To determine MV sizes from measurements made on MV profiles, an assumption must be made about MV shape, a circular cylinder being used to approximate the latter on limited lengths. However, this model is irrelevant in case MVs have some flatness. The elliptical cylinder model is preferable, although relationships between the cylinder profile (two-dimensional; 2D) and its true (three-dimensional; 3D) sizes are not yet known. We have obtained the 2D/3D functions that express the relationships between such profile sizes as the minor radius (Y), major radius (X), axial ratio (X/Y), area (S), and perimeter (P) on the one hand, and the corresponding MV sizes (Y(0), X(0), X(0)/Y(0), S(0), and P(0)) on the other. The 2D/3D functions make it possible to derive elliptical MV sizes from section profile size distributions, probability density functions (PDFs) for the latter being determined. We have applied the 2D/3D functions in studying axial ratios of thyroid hemocapillaries. A factual X/Y frequency histogram has been constructed and fitted by theoretical X/Y PDFs plotted for different sets of capillary sizes. The thyroid capillaries have been revealed to be clustered, 72.7% of them having X(0)/Y(0) approximately 1.6, 17.6%, X(0)/Y(0) approximately 1.0, and 9.7%, X(0)/Y(0) approximately 3.2. The proposed technique is instrumental in precise modeling of microcirculatory network geometry.

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Section: Discussionmentioning

confidence: 99%

Determination of Size Distribution of Elliptical Microvessels from Size Distribution Measurement of Their Section Profiles

Krasnoperov

Gerasimov

2003

Exp Biol Med (Maywood)

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“…One of the most important quantitative parameters is the surface area, which is an important value in many areas of biology, such as the interface between capillaries and tissues, microvilli and the intestinal lumen, inspired air and dissolved gases in the alveoli, as well as connections between neurons, glial cells and synapses [2]. Useful techniques for estimating the surface area of complex objects have been produced using isotropic uniform random (IUR) sectioning [3] and vertical uniform random (VUR) sectioning approaches [4]. These methods have been successfully applied to a variety of biological tissues and images [5][6][7].…”

Section: Introductionmentioning

confidence: 99%