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Browsing by Author "Correa Herrera, Catalina"

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    Generalización fractal y euclidiana de arterias coronarias
    (Corporación Universitaria Lasallista, 2014) Rodríguez Veláquez, Javier; Prieto Bohórquez, Signed; Polo Nieto, Fernando; Correa Herrera, Catalina; Soracipa Muñoz, Yolanda; Blanco, Vanessa; Rodríguez, Andrés Camilo; Pinilla Bonilla, Laura
    Introduction. Fractal geometry characterizes irregular objects, including the human body. Objective. Develop a geometric method to differentiate, in an experimental model of restenosis in pig arteries, the normal and the pathologic arteries, by the simultaneous use of fractal and Euclidean geometries. Materials and methods. Seven images of histological slides of normal arteries and seven restenosed arteries were taken, simultaneously calculating the fractal dimension of the arterial layers –by the use of the Box-Counting method- and the number of squares occupied by the surfaces of three arterial layers. Then, the intrinsic mathematical harmony was calculated and, finally, the differences between the groups were established. Results. The values of the number of squares occupied by the surfaces of the seven normal arteries oscillated between 27 and 74 and the re-stenosed ones oscillated between 83 and 176. The value of the fractal dimension varied between 0.9241 and 1.2578 for the normal arteries and between 0.7225 and 1.2937 for the restenosed ones. Conclusion. The methodology developed in this research work could geometrically differentiate, in an objective way, normal and restenosed arteries, making the calculations with their occupation spaces as bases.
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    Ley de Zipf/Mandelbrot y teoría de la probabilidad aplicadas a la caracterización de reacciones adversas a medicamentos en adultos mayores
    (Corporación Universitaria Lasallista, Editorial Lasallista, 2016) Rodríguez Velásquez, Javier; Prieto Bohórquez, Signed; Correa Herrera, Catalina; Chaves Torres, Ninfa; Hoyos Ortiz, Natalia; Valero Morales, Laura; Suárez Graffe, Daniela; Aragón Daza, Laura; Soto Camargo, Daniel; Santacruz Castiblanco, Fernando
    Zipf/Mandelbrot Law establishes a fractal auto-organization of phenomena such as language, the B and T immune repertoire and the fetal cardiac behavior, among other possible applications. Objective. The application of the probability theory has allowed the prediction of the cardiac behavior, epidemics and the union of peptides in molecular biology. Materials and methods. The adverse reactions rate to medications (ARM) and problems related to medications (PRM) in adults above 44 years of age in Bogotá, Colombia, from January to December, 2012, were analyzed by means of the Zipf- Mandelbrot law, separating the ages by ratios every 5 years. Additionally, the probability of the number of reports of the 19 pharmacological groups with higher ARM and PRM were assessed. Results. The ARM and PRM rates have a fractal statistic behavior with fractal dimension of 0,983 and a R2 of 0,8618. The probability of the pharmacological groups varied between 0,0383 for anticonvulsants and lipid- lowering medications and 0,2743 for anti-bacterial ones. The probabilities of the pharmacological groups show differences of 10 in magnitude orders in regard to the maximum probability. Conclusion. The incidence rate of RAM and PRM is characterized by Zipf / Mandelbrot law; It was found a not equiprobable behavior of the distribution of reports by pharmacological groups, which could show useful trends in pharmacological surveillance.