๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Methods for the study of cellular sociology: Voronoi diagrams and parametrization of the spatial relationships

โœ Scribed by R. Marcelpoil; Y. Usson


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
759 KB
Volume
154
Category
Article
ISSN
0022-5193

No coin nor oath required. For personal study only.

โœฆ Synopsis


In order to study cellular sociology, a model of parametrization and quantitation of cellular population topographies is developed here. This approach is based on space partition constructed from the set of points locating the position of cells. This spatial partition from Voronoi paving is considered to be a set of individual forms which permits calculation of three parameters which are characteristic of the population topography, (i) RFav, the average roundness factor of those forms, (ii) RFH, a measure of the roundness factor homogeneity and (iii) AD, a measure of their area heterogeneity (also called area disorder). A characterization of the space defined by the three parameters, is obtained by simulation of spatial perturbations of various theoretical populations. These theoretical populations have been subjected to factors such as aggregation and randomization of positions by an increase of spatial degrees of freedom. The use of a diagram involving RFav, RFH and AD turns out to be a powerful tool for the determination of the intrinsic disorder of a cellular population. Furthermore, it makes it possible to determine for a given set of cells, a model including its nearest homogeneous set, and the intrinsic disorder to which it refers. Finally, this model appears to be a useful way to quantify topographies and study order and disorder in many point sets by a simple reading in the parametric space defined by RFav, RFH and AD.


๐Ÿ“œ SIMILAR VOLUMES


Reprint of: V-Proportion: A method based
โœ Oscar Martinez Mozos; Jose A. Bolea; Jose M. Ferrandez; Peter K. Ahnelt; Eduardo ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 749 KB

The visual system plays a predominant role in the human perception. Although all components of the eye are important to perceive visual information, the retina is a fundamental part of the visual system. In this work we study the spatial relations between neuronal mosaics in the retina. These relati

Information theory methods for the study
โœ Juh๏ฟฝsz-Nagy, P. ;Podani, J. ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 940 KB

The use of mathematical methods based on Shannon's entropy function is proposed for the evaluation of the consequences of sampling unit size and for the study of vegetation succession. The concept of diversity is extended to sets of phytosociological relev6s under the term florula diversity. It is s

An experimental study of the relationshi
โœ P. P. Dendy; R. W. Barber; C. C. Bayliss ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer ๐ŸŒ English โš– 657 KB

Many centres make regular measures of gamma camera performance as part of routine quality assurance programmes. Such measures may detect gradual deterioration in the camera but provide no basis on which to decide when corrective action should be taken. It is necessary to know when changes in camera