Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Kaliman S, Jayachandran C, Rehfeldt F, Smith AS
Zeitschrift: Frontiers in Physiology
Verlag: FRONTIERS MEDIA SA
Jahr der Veröffentlichung: 2016
Band: 7
ISSN: 1664-042X
Sprache: Englisch


Abstract


It is well accepted that cells in the tissue can be regarded as tiles tessellating space. A number of approaches were developed to find an appropriate mathematical description of such cell tiling. A particularly useful approach is the so called Voronoi tessellation, built from centers of mass of the cell nuclei (CMVT), which is commonly used for estimating the morphology of cells in epithelial tissues. However, a study providing a statistically sound analysis of this method's accuracy is not available in the literature. We addressed this issue here by comparing a number of morphological measures of the cells, including area, perimeter, and elongation obtained from such a tessellation with identical measures extracted from direct imaging acquired by staining the cell membranes. After analyzing the shapes of 15,000 MDCK II epithelial cells under several conditions, we find that CMVT reasonably well reproduces many of the morphological properties of the tissue with an error that is between 10 and 15%. Moreover, cross-correlations between different morphological measures are reproduced qualitatively correctly by this method. However, all of the properties including the cell perimeters, number of neighbors, and anisotropy measures often suffer from systematic or size dependent errors. These discrepancies originate from the polygonal nature of the tessellation which sets the limits of the applicability of CMVT.



FAU-Autoren / FAU-Herausgeber

Kaliman, Sara Dr.
Professur für Theoretische Physik
Smith, Ana-Suncana Prof. Dr.
Professur für Theoretische Physik


Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


Autor(en) der externen Einrichtung(en)
Georg-August-Universität Göttingen


Zitierweisen

APA:
Kaliman, S., Jayachandran, C., Rehfeldt, F., & Smith, A.-S. (2016). Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology. Frontiers in Physiology, 7. https://dx.doi.org/10.3389/fphys.2016.00551

MLA:
Kaliman, Sara, et al. "Limits of Applicability of the Voronoi Tessellation Determined by Centers of Cell Nuclei to Epithelium Morphology." Frontiers in Physiology 7 (2016).

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Zuletzt aktualisiert 2018-10-08 um 17:10