RESUMO
INTRODUCCIÓN Y OBJETIVOS: la geometría fractal evalúa la irregularidad de los objetos naturales, permitiendo caracterizar de forma imparcial la totalidad de la ramificación coronaria izquierda a diferencia de la metodología actual que evalúa únicamente partes de ésta. Con base en esta medida se generalizó una nueva metodología diagnóstica para detectar cualquier tipo de disfunción cardiaca severa. MÉTODOS: estudio de concordancia diagnóstica en el que se utilizó el método de box counting para medir dimensiones fractales de imágenes consecutivas entre sístole y diástole de la ramificación coronaria izquierda en proyección oblicua derecha anterior de angiografías de ocho pacientes con enfermedad arterial oclusiva leve. Así mismo, se evaluaron sus cambios por medio de los conceptos de variabilidad y diferencia neta y se compararon estos resultados con pacientes sin enfermedad arterial oclusiva, con enfermedad arterial oclusiva moderada y severa evaluados previamente de igual forma, para obtener una metodología matemática que evalúa el impacto de cualquier patología en la dinámica cardiaca. RESULTADOS: los casos que presentan diferencias netas de cero corresponden a pacientes con disfunciones cardiacas severas, independientemente del grado o ausencia de enfermedad arterial oclusiva diagnosticada. CONCLUSIONES: se generalizó una nueva metodología diagnóstica de aplicación clínica que detecta disfunciones cardiacas severas sub-diagnosticadas con las metodologías actuales, mediante la caracterización de la dinámica total de la ramificación coronaria izquierda.
INTRODUCTION AND OBJETIVES: fractal geometry evaluates the irregularity of natural objects, allowing impartially characterize the entire left coronary branching unlike the current methodology which evaluates only parts of it. Based on this measure, a new diagnostic method was generalized to detect any type of severe cardiac dysfunction. METHODS: Concordance study using the box counting method to measure fractal dimensions of consecutive images between systole and diastole of the left coronary branch in right anterior oblique projection in angiograms of eight patients with mild arterial occlusive disease. Likewise, we evaluated its changes through the concepts of variability and net difference and compared these results with patients without occlusive arterial disease, with moderate to severe arterial occlusive disease previously and similarly evaluated, to obtain a mathematical methodology to assess the impact of any pathology in cardiac dynamics. RESULTS: The cases with zero net differences occur in patients with severe cardiac dysfunction, regardless of the degree or absence of diagnosed occlusive arterial disease. Conclusions: a new diagnostic methodology of clinical application to detect sub-diagnosed severe heart dysfunction was generalized with current methodologies, through the characterization of the total dynamics of the left coronary branch.
Assuntos
Humanos , Fractais , Angiografia , DiagnósticoRESUMO
BACKGROUND: Fractal geometry is employ to characterize the irregular objects and had been used in experimental and clinic applications. Starting from a previous work, here we made a theoretical research based on a geometric generalization of the experimental results, to develop a theoretical generalization of the stenotic and restenotic process, based on fractal geometry and Intrinsic Mathematical Harmony. METHODS: Starting from all the possibilities of space occupation in box-counting space, all arterial prototypes differentiating normality and disease were obtained with a computational simulation. Measures from 2 normal and 3 re-stenosed arteries were used as spatial limits of the generalization. RESULTS: A new methodology in animal experimentation was developed, based on fractal geometric generalization. With this methodology, it was founded that the occupation space possibilities in the stenotic process are finite and that 69,249 arterial prototypes are obtained as a total. CONCLUSIONS: The Intrinsic Mathematical Harmony reveals a supra-molecular geometric self-organization, where the finite and discrete fractal dimensions of arterial layers evaluate objectively the arterial stenosis and restenosis process.
