A new method for quantifying three‐dimensional interactions between biological structures

Abstract

In this paper we examine a new distance-based method for identifying and characterizing possible interactions between biological structures and objects, with respect to the initial developmental stages of Echinococcus granulosus . By adopting the surface of the foramen as the distance reference, several interesting results have been identified, including the fact that the cell nuclei tend to be organized with respect to the foramen surface as well as the stability of the spatial distribution of these nuclei along the development stages.

2D Euclidean distance transform algorithms

“…For instance, the maximum of the DT of an object is its width; the distribution of the distances in the DT is also a useful shape descriptor. -Other interesting areas in which the DT has been applied are: image registration [Kozinska et al 1997;Cuisenaire and Macq 1999b]; subpixel contour tracing [Siddiqi et al 1997]; multidimensional data analysis (classification, clustering) [Starovoitov 1996]; image enhancement [Zeng and Hirata 2003]; ray-tracing optimization [Paglieroni 1997;Sramek and Kaufman 2000]; embedding surface for level set-based methods [Sethian 1999;Osher and Sethian 1988;Tek and Kimia 2003;Siddiqi et al 1997;Sebastian et al 2003;Xia et al 2004]; efficient belief-propagation [Felzenszwalb and Huttenlocher 2006]; multiphase flow simulations [Ceniceros and Roma 2005]; medical image analysis [Cuisenaire and Macq 1999b;hao Tseng et al 1998;Wintermark et al 2002;Jolesz et al 1997;Thiran and Macq 1996;Saito and Toriwaki 1994;Sebastian et al 2003]; analysis of interaction between biological structures [Travençolo et al 2007]; botanics [Travis et al 1996]; and geology [Paglieroni 1997;Parker 1997]. …”

Changes in cortical bone channels network and osteocyte organization after the use of zoledronic acid

“…All samples were processed according to the technique proposed by Travençolo and cols. (19). The main idea of the methodology is to determine the distribution of the distances between objects and a reference structure.…”

Métodos computacionais para a caracterização e análise da relação entre anatomia e expressão gênica em sistemas biológicos.

“…Neste capítuloé apresentado um método computacional que se baseia no cálculo da distância para caracterização de sistemas biológicos [70]. Esse método foi usado para analisar a distribuição espacial de núcleos celulares do parasita Echinococcus granulosus, durante os estágios iniciais de seu desenvolvimento.…”

“…Para a detecção do DNA foram usados os marcadores iodeto de propídeo (no caso do early bud e do early elongated bud) e YOYO-1 (no caso do elongated bud). Mais detalhes a respeito do processo de captura estão descritos em [47] e em [70]. Todas essas imagens passaram pelos procedimentos de detecção dos objetos -os núcleos celulares -e da estrutura de referência -o forâmen.…”

“…A descrição do método e os resultados de sua aplicação foram publicados no periódico Journal of Anatomy, sob o título A new method for quantifying three-dimensional interactions between biological structures [70].…”