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Simulation of alteration trajectories of erythrocyte structures based on fractal and euclidean geometry

Simulación de estructuras eritrocitarias con base en la geometria fractal y euclidiana




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Artículos de Investigación

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Rodríguez Velásquez, J. O., Prieto Bohórquez, S., Correa Herrera, C., Mejia, M., Ospino, B., Munevar, Ángela, Amaya, B., Duarte, Y., Medina, S., & Felipe, C. (2014). Simulation of alteration trajectories of erythrocyte structures based on fractal and euclidean geometry. Archivos De Medicina , 14(2), 276-284. https://doi.org/10.30554/archmed.14.2.316.2014
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Rodríguez Velásquez, J. O., Prieto Bohórquez, S., Correa Herrera, C., Mejia, M., Ospino, B., Munevar, Ángela, Amaya, B., Duarte, Y., Medina, S., & Felipe, C. (2014). Simulation of alteration trajectories of erythrocyte structures based on fractal and euclidean geometry. Archivos De Medicina , 14(2), 276-284. https://doi.org/10.30554/archmed.14.2.316.2014

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Javier Oswado Rodríguez Velásquez
Signed Prieto Bohórquez
Catalina Correa Herrera
Marcela Mejia
Benjamín Ospino
Ángela Munevar
Beatriz Amaya
Yurany Duarte
Sandra Medina
Carolina Felipe

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To determine three possible trajectories of evolution of 8 erythrocyte structures from normality to echinocytes, starting from an objective and reproducible diagnostic methodology of erythrocytic morphophysiology, objective and reproducible
for the detection of pathological abnormalities in extended of blood samples, useful to determine the viability of transfusion bags, based on fractal and euclidean geometry.
Materials and methods: based on the previously developed diagnostic methodology, 8 normal erythrocytes were taken, with which simulations of three possible paths of evolution were developed. For this, initially fractal dimension, the number of pixels occupied by the erythrocyte surface and the number of spaces touched by the edge superimposing a grid of 5x5 pixels in the space of generalized fractal Box counting were calculated. Afterwards, to make the simulations, geometric variations of the edge of each erythrocyte were made, so that the surface/edge ratio characteristics for each state were kept, according to the previous results. Results: simulations of possible trajectories from normality to equinocytes were obtained with quantitative, objective and reproducible measurements. Conclusions: fractal/euclidean organization in the architecture of red blood cells, allows the development of non-causal trajectories of
cellular alteration to echinocytes, useful in the diagnosis and following of erythrocyte state in daily clinical practice.

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