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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: 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: Detection of Arrhythmias Using Heart Rate Signals from Smartwatches
Detection of Arrhythmias Using Heart Rate Signals from Smartwatches Open
According to the World Health Organization (WHO), cardiovascular illnesses, including arrhythmia, are the primary cause of mortality globally, responsible for over 31% of all fatalities each year. To reduce mortality, early and precise dia…
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: Exploring the prevalence of birth defects of the gastrointestinal tract in newborns: A Six-year analysis in Bogotá, Colombia
Exploring the prevalence of birth defects of the gastrointestinal tract in newborns: A Six-year analysis in Bogotá, Colombia Open
Background: Birth defects (BD) occur in 3–6 % of live births (LB) and constitute significant morbimortality and disability. Some BD of the gastrointestinal (GI) tract requires surgical interventions during the first days of life. Knowing t…
View article: New Physical–Mathematical Analysis of Cardiac Dynamics and Temperature for the Diagnosis of Infectious Disease
New Physical–Mathematical Analysis of Cardiac Dynamics and Temperature for the Diagnosis of Infectious Disease Open
Background: Physical and mathematical theories have made it possible to generate methods for the characterization and diagnosis of physiological variables such as cardiac dynamics. Therefore, it would be useful to implement them to evaluat…
View article: The next phases of the Migrante Project: Study protocol to expand an observatory of migrant health on the Mexico—U.S. border
The next phases of the Migrante Project: Study protocol to expand an observatory of migrant health on the Mexico—U.S. border Open
Background Mexican migrants traveling across the Mexico-United States (U.S.) border region represent a large, highly mobile, and socially vulnerable subset of Mexican nationals. Population-level health data for this group is hard to obtain…
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 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: Adult Heart Dynamics Evaluated from A Chaotic Mathematical Law
Adult Heart Dynamics Evaluated from A Chaotic Mathematical Law Open
Aim: to confirm the diagnostic capacity in 18 hours of a methodology applied to heart dynamics in the frame of a chaotic exponential mathematical law previously applied in 21 hours based on dynamical systems theory and fractal geometry. Ma…
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: 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: 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: 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…