Methods for the study of cellular sociology: Voronoi diagrams and parametrization of the spatial relationships
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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
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
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