Fractal geometry applied to compare the spaces occupied by normal erythrocytes and spherocytes

被引:0
作者
Rodriguez Velasquez, Javier Oswaldo [1 ]
Soracipa Munoz, Maria Yolanda [2 ]
Ovalle Londono, Ivan Andres [1 ]
Castro Hernandez, Monica Genith [1 ]
Senejoa, Nairo [3 ]
Quijano Nieto, Bernardo [4 ]
Ortiz Tovar, Adriana Lizbeth [5 ]
Guzman de la Rosa, Esmeralda Esther [6 ]
Rozo Gonzalez, Arlyn Carolina [7 ]
机构
[1] Clin Country, Bogota, Colombia
[2] UNAD, Bogota, Colombia
[3] Hosp Mil, Bogota, Colombia
[4] Univ Nacl Colombia, Bogota, Colombia
[5] Grp Insight, Bogota, Colombia
[6] Ctr Invest Clin Country, Bogota, Colombia
[7] Univ Abierta & Distancias UNAD, Valledupar, Cesar, Colombia
来源
ARCHIVOS DE MEDICINA | 2018年 / 18卷 / 01期
关键词
math; fractals; hematology; erythrocyte; anemia hemolytic;
D O I
10.30554/archmed.18.1.1835.2018
中图分类号
R5 [内科学];
学科分类号
1002 ; 100201 ;
摘要
Objective: to develop a new methodology that evaluated the shape of the normal erythrocyte and the spherocyte from the spaces occupied by each one, as measured by the Box Counting method. Materials and methods: 20 images of peripheral blood smear were analyzed, in which a large number of normal erythrocytes and spherocytes were observed. Two Kp grids of 5 x 5 pixels and 10 x 10 pixels Kg were superimposed to calculate the space occupied by two regions of the normal erythrocyte which are, the disk and center of the latter, viewed frontally, as well as the occupied space by the spherocyte using the Box Counting method. Results: The spaces occupied by the exterior and interior of the normal erythrocyte with the Kp grid varied between 47 and 55, and between 8 and 16, respectively. In contrast, the spaces occupied by the spherocytes varied between 25 and 36. The proportions between the surface and the values of the K grid of the normal erythrocyte regions varied between 9.250 and 32.24, whereas the spherocytes varied between 34,63 and 71,39. Conclusions: alterations in the shape of the normal erythrocyte can be differentiated by the ranges found for the space occupied by the surface and the proportions S/Kp of each of the erythrocyte regions from the notions of fractal and Euclidean geometry.
引用
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页数:13
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