Mixed-Unit Lattice Approach for Area Determination of Cellular and Subcellular Structures
Department of Mathematics, Elwood John Glenn, Elwood, NY 11731, USA
Appl. Sci. 2019, 9(24), 5267; https://doi.org/10.3390/app9245267
Received: 14 November 2019
/
Revised: 29 November 2019
/
Accepted: 30 November 2019
/
Published: 4 December 2019
(This article belongs to the Section Applied Biosciences and Bioengineering)
Even small changes in the dimensions of cellular and subcellular structures can inform an ongoing disease. An increase in glomerular dimensions is associated with kidney disease and can predict glomerulosclerosis, whereas an increase in the size of fluid-filled renal cysts is predictive of end-stage polycystic kidney disease. In the absence of set formulae to define the area of curvilinear irregular regions, such as glomeruli and cysts, the method of counting unit squares is used. Nonetheless, as infinitesimally small as the unit square may be, this 2D space-filling method still underestimates the area of a curvilinear region. Developed herein is a mixed-unit lattice approach that represents an improvement over the existing method for estimating the areas of cellular and subcellular structures. In test cases comprising images of glomeruli and renal cysts, this method outperformed the conventional unit-squares method, and may form the foundation for refining the current method used by most types of software for estimating the area of irregular curvilinear regions.
View Full-Text
▼
Show Figures
Figure 1
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
MDPI and ACS Style
Narayan, R. Mixed-Unit Lattice Approach for Area Determination of Cellular and Subcellular Structures. Appl. Sci. 2019, 9, 5267. https://doi.org/10.3390/app9245267
AMA Style
Narayan R. Mixed-Unit Lattice Approach for Area Determination of Cellular and Subcellular Structures. Applied Sciences. 2019; 9(24):5267. https://doi.org/10.3390/app9245267
Chicago/Turabian StyleNarayan, Rithika. 2019. "Mixed-Unit Lattice Approach for Area Determination of Cellular and Subcellular Structures" Applied Sciences 9, no. 24: 5267. https://doi.org/10.3390/app9245267
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
