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View article: Mathematical Modeling of Obstetric Variables: Influence of COVID-19, Periodontal Disease and Dental Care During Pregnancy
Mathematical Modeling of Obstetric Variables: Influence of COVID-19, Periodontal Disease and Dental Care During Pregnancy Open
Background: Systemic inflammatory factors may be altered by periodontitis and/or COVID-19, potentially increasing the risk of adverse pregnancy outcomes, a relationship that remains unclear. Objective: This study aimed to identify associat…
View article: Prediction of CD4+ T lymphocyte count in HIV patients from their total leukocyte count and previous CD4+ counts
Prediction of CD4+ T lymphocyte count in HIV patients from their total leukocyte count and previous CD4+ counts Open
Introduction CD4+ T lymphocyte count is a high-cost para-clinical test, essential for follow-up of human immuno-deficiency virus (HIV)/acquired immunodeficiency syndrome (AIDS) patients. For this test, various methodologies have been devel…
View article: Road’s mortality prediction for the most vulnerable users in the context of the COVID-19 pandemic in Santiago de Cali, Colombia
Road’s mortality prediction for the most vulnerable users in the context of the COVID-19 pandemic in Santiago de Cali, Colombia Open
The purpose of this study is to predict the frequency of mortality from urban traffic injuries for the most vulnerable road users before, during and after the confinement caused by COVID-19 in Santiago de Cali, Colombia. Descriptive statis…
View article: Mathematical predictive relationship of CD4+ lymphocytes and total leukocytes in HIV-infected patients
Mathematical predictive relationship of CD4+ lymphocytes and total leukocytes in HIV-infected patients Open
Introduction Different parameters have been established to direct the treatment of patients with human immunodeficiency virus (HIV) infection, such as CD4+ lymphocyte values, and it is of clinical interest to have methodologies that accura…
View article: Evaluation of cardiac dynamics by a mathematical law in 16 hours: application to 400 cases
Evaluation of cardiac dynamics by a mathematical law in 16 hours: application to 400 cases Open
To corroborate the clinical application of an exponential mathematical law based on dynamic systems by reducing its evaluation time to 16 hours through a diagnostic concordance study with respect to the clinical conventional diagnosis. A b…
View article: Analysis of antepartum cardiotocography based on S/k proportions and probability in 20 minutes
Analysis of antepartum cardiotocography based on S/k proportions and probability in 20 minutes Open
Objectives: although mortality and perinatal asphyxia in newborns have been considerably reduced, there are still deficiencies in screening and diagnosis methods for intrapartum fetal well being that aim to detect its early alterations. Th…
View article: Analysis of antepartum cardiotocography based on S/k proportions and probability in 20 minutes
Analysis of antepartum cardiotocography based on S/k proportions and probability in 20 minutes Open
Objectives: although mortality and perinatal asphyxia in newborns have been considerably reduced, there are still deficiencies in screening and diagnosis methods for intrapartum fetal well being that aim to detect its early alterations. Th…
View article: Application of An Exponential Mathematical Law of Cardiac Dynamics In 16 Hours
Application of An Exponential Mathematical Law of Cardiac Dynamics In 16 Hours Open
Introduction and objectives: nonlinear dynamics and fractal geometry have allowed the advent of an exponential mathematical law applicable to diagnose cardiac dynamics in 21 hours, however, it would be beneficial to reduce the time require…
View article: Application of Fractal and Euclidean Methods to Differentiate Normal and Neoplastic Thyroid Cells
Application of Fractal and Euclidean Methods to Differentiate Normal and Neoplastic Thyroid Cells Open
Context: The differentiated papillary and follicular thyroid neoplasms can be characterized from the notions of fractal and Euclidean geometry to overcome the challenges faced by the pathologist. This method was previously used in differen…
View article: Mathematical temporal prediction of CD4+ lymphocytes in HIV/AIDS patients in antiretroviral treatment
Mathematical temporal prediction of CD4+ lymphocytes in HIV/AIDS patients in antiretroviral treatment Open
Background: The measurement of CD4 + lymphocyte count through flow cytometry, is necessary for the following up of HIV-infected patients in antiretroviral therapy, however, populations in low-income countries are limited to this test. For …
View article: Predictive methodology of the probability ranges of total deaths from Coronavirus 19 (COVID-19) in China, Turkey, and Brazil
Predictive methodology of the probability ranges of total deaths from Coronavirus 19 (COVID-19) in China, Turkey, and Brazil Open
Background : A country without strategies to limit the spread of a pandemic would likely result in a dramatic increase in the number of hospitalizations and deaths. Objective: to design a methodology based on probability theory to Predict …
View article: Application of a Diagnostic Methodology of Cardiac Systems Based on the Proportions of Entropy in Normal Patients and with Different Pathologies
Application of a Diagnostic Methodology of Cardiac Systems Based on the Proportions of Entropy in Normal Patients and with Different Pathologies Open
Introduction: Dynamical systems theory, probability, and entropy were the substrate for the development of the diagnostic and predictive methodology of adult heart dynamics. Objective: To apply a previously developed methodology from dynam…
View article: Simulaciones de células de cuello uterino desde normalidad hasta atipias escamosas de significado indeterminado (ascus) con geometría fractal
Simulaciones de células de cuello uterino desde normalidad hasta atipias escamosas de significado indeterminado (ascus) con geometría fractal Open
Conventional systems for evaluation of cervical cytology have reproducibility problems in relying on qualitative observations. Thus a methodology was developed to diagnose cervical cells from fractal geometry. From the fractal dimensions o…
View article: Clinical applicability of the diagnostic software of cardiac dynamics based on the Zipf-Mandelbrot law
Clinical applicability of the diagnostic software of cardiac dynamics based on the Zipf-Mandelbrot law Open
Introduction: The Zipf-Mandelbrot law allowed the development of a methodology that makes quantitative distinctions between acute and normal cardiac dynamics in an objective and reproducible way. Objective: To confirm the diagnostic capaci…
View article: Software for adult cardiac dynamic through dynamic systems
Software for adult cardiac dynamic through dynamic systems Open
The normal and abnormal behavior of an adult heart dynamics and its state of evolution towards one of these two states has been characterized successfully in the context of the theory of dynamic systems and probability. The diagnostic meth…
View article: Prediction of the availability of carbon reserves through the probabilistic random walk for the year 2015 in Colombia
Prediction of the availability of carbon reserves through the probabilistic random walk for the year 2015 in Colombia Open
Antecedentes: Desde una metodología basada en la caminata al azar probabilística, apate fenómenos aparentemente aleatorios como brotes epidémicos han sido estudiados, logrando predicciones físico-matemáticas con porcentajes superiores al 9…
View article: A novel heart rate attractor for the prediction of cardiovascular disease
A novel heart rate attractor for the prediction of cardiovascular disease Open
Rationale: The cardiac dynamic has been studied with a new methodology based on probability and proportions of entropy of frequencies of appearance, by means of heart rate (HR) in a new kind of attractor. This methodology has established n…
View article: Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study
Mathematical physical diagnosis of neonatal cardiac dynamics based on dynamic systems and fractal geometry: Clinical validation study Open
A mathematical evaluation of neonatal cardiac dynamics was developed. The purpose of this study is to confirm the diagnostic capacity of this methodology to differentiate normal neonatal cardiac and cardiac pathologies through a blind stud…
View article: Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement
Application of the theory of probability and dynamic systems in the evaluation of cardiac dynamics: Study of diagnostic agreement Open
In the present work a new methodology was applied, to evaluate the cardiac status in 16 hours, in continuous electrocardiographic records and Holter, this by means of the theory of probability, and the occupation of spaces from attractors …
View article: Exponential mathematical law applied to cardiac dynamics for 18 hours
Exponential mathematical law applied to cardiac dynamics for 18 hours Open
An exponential law was previously developed based on dynamic systems theory to be applied to cardiac dynamics in 21 hours, so it is wanted to reduce the time of evaluation to 18 hours, to further verify its diagnostic utility differentiati…
View article: Cardiac dynamics evaluation with the application of methodologies based on proportional entropy and on Zipf-Mandelbrot law
Cardiac dynamics evaluation with the application of methodologies based on proportional entropy and on Zipf-Mandelbrot law Open
Introducción: Las metodologías fisicomatemáticas son de utilidad para el diagnóstico de la dinámica cardiaca.Objetivo: Comparar la aplicación de dos métodos matemáticos de evaluación de la dinámica cardiaca.Una basada en proporciones de la…
View article: Entropía proporcional de dinámicas cardiacas normales y con arritmia en la unidad de cuidados intensivos
Entropía proporcional de dinámicas cardiacas normales y con arritmia en la unidad de cuidados intensivos Open
Background: Based on the theory of probability and not equiprobable entropy ratios in the context of dynamical systems theory, a methodology for cardiac dynamic evaluation was developed. Objectives: To confirm the clinical applicability of…
View article: Fractal Diagnostic Generalization of the Left Ventricular Cardiac Morphology: Moderate and Severe Abnormalities from Ventriculogram
Fractal Diagnostic Generalization of the Left Ventricular Cardiac Morphology: Moderate and Severe Abnormalities from Ventriculogram Open
Introduction: Cardiac irregularity is adequately described by means of fractal geometry, which was the basis for the development of a diagnosis of the left ventriculogram. Methods: All possible permutations of similarity degrees from fract…
View article: Probabilistic spatial-temporal prediction of total and severe epidemic of dengue in Colombia
Probabilistic spatial-temporal prediction of total and severe epidemic of dengue in Colombia Open
OBJECTIVE To establish a new predictive methodology to determine the proportion of severe dengue with respect to the annual total of dengue infections per department based on the probability theory. MATERIALS AND METHODS Based on annual …
View article: Evaluación en 18 horas de la dinámica cardiaca con la ley matemática de los sistemas dinámicos
Evaluación en 18 horas de la dinámica cardiaca con la ley matemática de los sistemas dinámicos Open
Introduction: an exponential law has been found for chaotic dynamic cardiac systems, making it possible to quantify the differences between normal and pathological cardiac dynamics. Methodology: 120 electrocardiographic records were analyz…
View article: Clinical Application of a Cardiac Diagnostic Method Based onDynamic Systems Theory
Clinical Application of a Cardiac Diagnostic Method Based onDynamic Systems Theory Open
A new methodology based on dynamical systems theory has been developed to differentiate normal cardiac dynamic from acute illness by calculating the space occupation of chaotic geometric attractors in the phase space. Objective: The purpos…
View article: HUMPBACK WHALE (MEGAPTERA NOVAENGLIAE) CARDIAC DYNAMIC ANALYSIS USING PROBABILITY THEORY
HUMPBACK WHALE (MEGAPTERA NOVAENGLIAE) CARDIAC DYNAMIC ANALYSIS USING PROBABILITY THEORY Open
The cardiac behaviour of the humpback whale (Megaptera novaeangliae) is described, in order to mathematically characterize its electrocardiogram (ECG) using the Dynamic Components of the System (DCS) and the probability theory. Images of 1…