Delaunay algorithm
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Data segmentation and object rendering is required for localization super-resolution microscopy, fluorescent photoactivation localization microscopy (FPALM), and direct stochastic optical reconstruction microscopy (dSTORM). We developed and validated methods for segmenting objects based on Delaunay triangulation in 3D space, followed by facet culling. We applied them to visualize mitochondrial nucleoids, which confine DNA in complexes with mitochondrial (mt) transcription factor A (TFAM) and gene expression machinery proteins, such as mt single-stranded-DNA-binding protein (mtSSB). Eos2-conjugated TFAM visualized nucleoids in HepG2 cells, which was compared with dSTORM 3D-immunocytochemistry of TFAM, mtSSB, or DNA. The localized fluorophores of FPALM/dSTORM data were segmented using Delaunay triangulation into polyhedron models and by principal component analysis (PCA) into general PCA ellipsoids. The PCA ellipsoids were normalized to the smoothed volume of polyhedrons or by the net unsmoothed Delaunay volume and remodeled into rotational ellipsoids to obtain models, termed DVRE. The most frequent size of ellipsoid nucleoid model imaged via TFAM was 35 × 45 × 95 nm; or 35 × 45 × 75 nm for mtDNA cores; and 25 × 45 × 100 nm for nucleoids imaged via mtSSB. Nucleoids encompassed different point density and wide size ranges, speculatively due to different activity stemming from different TFAM/mtDNA stoichiometry/density. Considering twofold lower axial vs. lateral resolution, only bulky DVRE models with an aspect ratio >3 and tilted toward the xy-plane were considered as two proximal nucleoids, suspicious occurring after division following mtDNA replication. The existence of proximal nucleoids in mtDNA-dSTORM 3D images of mtDNA "doubling"-supported possible direct observations of mt nucleoid division after mtDNA replication.
- MeSH
- algoritmy * MeSH
- analýza hlavních komponent * MeSH
- buňky Hep G2 MeSH
- DNA vazebné proteiny metabolismus MeSH
- fluorescenční mikroskopie * MeSH
- konformace nukleové kyseliny MeSH
- lidé MeSH
- mitochondriální DNA chemie metabolismus MeSH
- mitochondriální proteiny metabolismus MeSH
- molekulární modely MeSH
- zobrazování trojrozměrné * MeSH
- Check Tag
- lidé MeSH
- Publikační typ
- časopisecké články MeSH
... 4.0 Introduction 155 -- 4.1 Classical Formulas for Equally Spaced Abscissas 156 -- 4.2 Elementary Algorithms ... ... Matrix 583 -- 11.5 Hermitian Matrices 590 -- 11.6 Real Nonsymmetric Matrices 590 -- 11.7 The QR Algorithm ... ... Lines, Line Segments, and Polygons 1117 -- 21.5 Spheres and Rotations 1128 -- 21.6 Triangulation and Delaunay ... ... Triangulation 1131 -- 21.7 Applications of Delaunay Triangulation 1141 -- 21.8 Quadtrees and Octrees ... ... : Storing Geometrical Objects 1149 -- 22 Less-Numerical Algorithms 1160 -- 22.0 Introduction 1160 -- ...
3rd ed. xxi, 1235 s. : il. ; 27 cm + 1 CD-ROM
- MeSH
- matematické výpočty počítačové MeSH
- matematika MeSH
- numerická analýza pomocí počítače * MeSH
- Publikační typ
- monografie MeSH
