Geometrical probability and biological structures, Buffon's 200th anniversary : proceedings of the Buffon Bicentenary Symposium on Geometrical Probability, Image Analysis, Mathematical Stereology, and Their Relevance to the Determination of Biological Structures, held in Paris, June 1977
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Bibliographic Information
Geometrical probability and biological structures, Buffon's 200th anniversary : proceedings of the Buffon Bicentenary Symposium on Geometrical Probability, Image Analysis, Mathematical Stereology, and Their Relevance to the Determination of Biological Structures, held in Paris, June 1977
（Lecture notes in biomathematics, 23）
Springer-Verlag, 1978
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
GermanyC-P||Paris||1977.62431576
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Faculty of Textile Science and Technology Library, Shinshu University図
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Description and Table of Contents
Description
L'etude morphologique des tissus pathologiques en microscopie d' elements: optique comporte schematiquement deux types 1) les cellules, 2) les Fibres conjonctives intercellulaires. Ces Fibres, qui constituent Ie "squelette mou", servent de support aux elements cellwlaires, contribuent a maintenir l'architecture des tissu, et interviennent dans la circulation des liquides intercellu- laires. La quantite,la structure et la repartition de ces Fibres sont etroitement liees a l'activite physiologique des populations cellulaires et a leur pathologie.L'etude de leurs modiFications est tres utile dans Ie diagnostic d'une lesion, mais la complexite et la variete des images de ces reseaux Fibrillaires rend leur description et leur classiFication tres diFFiciles. L'application des methodes morphometriques peut etre un moyen utile pour obtenir des parametres objectiFs susceptibles de preciser ces structures. C'est uniquement l'etude des Fibres conjonctives que nous envisa- gerons pour Ie moment.
L'emploi,en pratique courante,des methodes morphometriques comme aide au diagnostic anatomo-pathologique,ne peut se concevoir que si les techniques utilisees sont relativement simples et surtout rapides. Dans ce but,nous avons entrepris,depuis I973,avec les moyens du Laboratoire, la realisation d'un appareil automatique specialement con~u pour essayer de repondre aux exigences particulieres de ce type d' e'tudes.
Table of Contents
Opening Speech.- Discours inauguratif.- Historical.- En matiere d'introduction.- Buffon and mathematics.- Geometrical Probability (Applied).- The stereological analysis of two-phase particles.- On the distance between points in polygons.- Biological Problems.- Analyse d'une population de cellules spheriques.- Etude morphologique des fibres conjonctives sur biopsies ou pieces operatoires.- Stereological and topological analysis of cirrhotic livers as a linkage of regenerative nodules multiply connected in the form of three-dimensional network.- Methode d'etude des espaces intercellulaires de la granulosa des follicules ovariens de ratte adulte cyclique.- Mathematical Stereology.- Stereological uses of the area tangent count.- The importance of proper model specification in stereology.- Mathematical Morphology (General).- "One, two, three,... infinity".- The foundation of computational geometry: theory and application of the point-lattice-concept within modern structure analysis.- Biological Problems II.- The non-statistical nature of biological structure and its implications on sampling for stereology.- The non-statistical nature of biological structure and its implications in sampling for stereology of liver tissue.- Sampling problems in the kidney.- Clustering and layering of neurons in the central nervous system.- Geometrical Statistics.- Anisotropy and distance from the centre probabilistic models and statistical analysis.- Characteristic statistical problems of stochastic geometry.- Epistemology.- The fractal geometry of trees and other natural phenomena.- Les erosions infinitesimales, et les mesures de surface.- Geometrical Probability.- Needles and wedges as tools for integration.- Random processes of linear segments and graphs.- Statistics of stationary oriented poisson line processes in the plane.- Mathematical Morphology (Applied).- Automated cytology.- Random processes simulations on texture analyser.- Computation of the histograms of the number of edaes and neighbours of cells in a tessellation.- An indirect method for counting particles in 3-d and 2-d spaces.
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