Stochastic geometry and related statistical problems in biomedicine

摘要: Many processes of biomedical interest may be modeled as birth-and-growth (germ-grain models), which are composed two processes, birth (nucleation, branching, etc.) and subsequent growth spatial structures (cells, vessel networks, etc.), both which, in general, stochastic time space. These induce a random division the relevant region, known tessellation. A quantitative description structure tessellation can given, terms mean densities interfaces (the so-called n-dimensional facets).