Geometrical Probability and Biological Structures: Buffon's 200th Anniversary

Opening Speech.- Discours inauguratif.- Historical.- En matière 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 sphériques.- Etude morphologique des fibres conjonctives sur biopsies ou pièces opératoires.- Stereological and topological analysis of cirrhotic livers as a linkage of regenerative nodules multiply connected in the form of three-dimensional network.- Méthode d'étude 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 érosions infinitésimales, et les mesures de surface.- Geometrical Probability.- Needles and wedges as tools for integration.- Random processes of linear segments and graphs.- Statistics ofstationary 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.