Unbiased estimation of particle density in the tandem scanning reflected light microscope

Howard, Vyvyan; Reid, Sean D.; Baddeley, Adrian; Boyde, A.

doi:10.1111/j.1365-2818.1985.tb02613.x

Cited by 145 publications

(98 citation statements)

References 10 publications

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“…Replicated data from a confocal microscope were first collected by Howard et al (1985) and a ratio regression approach was developed in Baddeley et al (1987). Konig et al (1991) found huge variations in estimates of point density A between replicated three-dimensional samples and concluded that their data (three replicates per animal) were insufficient to support quantitative conclusions.…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Three-Dimensional Point Pattern with Replication

Baddeley¹,

Moyeed²,

Howard³

et al. 1993

Applied Statistics

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113

158

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SUMMARYTechniques for analysing three-dimensional spatial point patterns are demonstrated on data from a confocal microscope recording the locations of cells in three dimensions. New computational techniques are proposed for edge corrections and empty space measurement. A novel feature of the data is replication and nesting in a sampling design: multiple spatial patterns were observed from each of several animals. For this we develop a ratio regression approach.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Three-Dimensional Point Pattern with Replication

Baddeley¹,

Moyeed²,

Howard³

et al. 1993

Applied Statistics

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113

158

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“…repeated 'cutting and glueing', below. Normally this has not been practical but, with the current development of the Tandem Scanning Reflected Light Microscope (Boyde et al, 1982), such replication without destruction may become feasible and effective in suitable tissues (Howard et al, 1985). Notwithstanding, quite often material specimens are sufficiently isotropic that a single extensive section will suffice, in which case a HIESP (homogeneous and isotropic ergodic stochastic process) model may be appropriate.…”

Section: Introductionmentioning

confidence: 99%

A comprehensive set of stereological formulae for embedded aggregates of not‐necessarily‐convex particles

Miles¹

1985

Journal of Microscopy

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KEY WORDS. Stereology, embedded particle aggregates, line and plane sections, connected sections, Clinc, universal stereological formulae, volume distribution. S U M M A R YTheoretical stereological approaches to particle aggregates characteristically suppose that each particle is convex, so that upon sectioning, each particle gives rise to either 0 or 1 convex planar profile. Actually, the essential requirement in such approaches is that each planar section profile be connected; such particles need not be convex.In this paper, aggregates of quite general non-convex particles, whose individual planar section profiles may thus comprise a number of disjoint connected regions, are considered. For this, it is necessary to anticipate the ultimate technical development of ultra-sensitive devices (or other methods) capable of identifying in a planar section those disjoint connected regions stemming from the same particle. With this assumption, it is shown how, using the '4-1inc'-a new line section characteristic-to estimate the aggregate volume moment ratio P / V , the standard isotropic section theory fully extends. To complete the picture, the recent development by Jensen & Gundersen of estimators for V / V is extended to the 'restricted' case considered here. Allowing the particle volume distribution to belong to a two-parameter family, these two parameters, N v and the aggregate mean values K, @, S, MF, may all be estimated. I N T R O D U C T I O NBasic notation (a further notation list is given after equation (14) MY' , n,.)

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“…Very few studies of airway inflammation in asthma have adopted stereological approaches [26,[28][29][30] and of these only three have used a disector to enumerate cell density. No such studies appear to have used the optical disector [31][32][33] in thick sections to measure the density of inflammatory cells in actual 3D space.…”

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confidence: 99%

Do bronchial biopsies represent mast cell density in airways? A stereological study

Carroll

Carroll²

2006

Eur Respir J

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Endobronchial biopsy specimens may not adequately represent inflammatory cell counts throughout the airway wall. The present study aimed to compare mast cell density in biopsies and airway sections using both stereological and nonstereological methods.Post mortem biopsies and adjacent transverse sections were obtained from a mean of five proximal airways per case in 10 subjects who had died of nonrespiratory causes. Tryptasepositive mast cells were measured stereologically in 30-mm sections and nonstereologically in 5-mm sections using an optical disector (cells?mm ), respectively. Reference areas included the inner and total airway wall and to 100 mm below the basement membrane.Case means, based on four or more biopsy sites, significantly correlated with those on transverse sections for counts over the inner airway wall only, using both stereological and nonstereological methods. Cells?mm -3 and cells?mm -2 were significantly correlated within all reference areas. When endobronchial biopsies are obtained from at least four proximal airways per case, intersubject comparisons of mean mast cell density in the inner airway wall are as well represented by counts on biopsies as they are on transverse sections. This is the case using either threedimensional, stereological or two-dimensional, nonstereological methods.

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Unbiased estimation of particle density in the tandem scanning reflected light microscope

Cited by 145 publications

References 10 publications

Analysis of a Three-Dimensional Point Pattern with Replication

Analysis of a Three-Dimensional Point Pattern with Replication

A comprehensive set of stereological formulae for embedded aggregates of not‐necessarily‐convex particles

Do bronchial biopsies represent mast cell density in airways? A stereological study

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