Application of probability theory to neonatal cardiac evaluation.

Based on probability theory, a methodology that allows diagnosing neonatal cardiac dynamics was previously developed; however, diagnostic applications of this method are required to validate it to the neonatal cardiac dynamics was conducted, allowing to differentiate normal from pathological dynamics. The hourly maximum and minimum heart rate values from 39 continuous and ambulatory electrocardiographic records with a minimum length of 21 hours were taken, from newborns between 0 and 10 days of life, 9 clinically within normality limits and 30 with cardiac pathologies. The probability of occurrence of heart rates in ranges of 5 beats/minute was calculated.

[Mathematical law of cardiac dynamic systems: reduction of its evaluation time to 18 hours].

Introduction: Previously, a physical-mathematical law was developed for the evaluation of continuous electrocardiographic and Holter registers, with which all cardiac attractors were deduced and normality, pathological states and evolution between states were differentiated.

Unlabelled: There were taken 200 cardiac dynamics, 150 with different types of cardiac pathologies and 50 normal ones, to which the exponential law was applied in 18 and 21 hours. For this, a sequence of heart rates was simulated, with which the chaotic attractor was constructed.

Fractal geometry applied to the analysis of cervix biopsy.

Background: the measurement of the spaces of occupation of irregular objects in the context of fractal geometry has had some applications at a cellular morphometric level, where characterizations of normality and disease have been established. The objective of the present study is to apply a fractal methodology to characterize images from cervical colposcopy.

Materials And Methods: a mathematical and geometrical characterization of 67 cell samples was performed by measuring cellular fractal characteristics through the Box-Counting method, being nine normal, eight low-intraepithelial lesions, 16 high-intraepithelial lesions, eight carcinomas in situ, 20 squamous cell carcinomas and six endocervical carcinomas.

[Fatalities by traffic in Maryland and Massachusetts evaluated in the context of a probabilistic random walk].

Introduction: The analysis of injuries caused by traffic from a physical and mathematical perspective can help improve road safety strategies. Objective: Predict the dynamics of traffic fatalities in the states of Maryland and Massachusetts for the years 2004 and 2014 in the context of probabilistic random walk. Methods: An analysis was made of the number of total fatalities caused by traffic per year, in the states of Maryland and Massachusetts between the years 1994-2003 and 1994-2013.

[Probabilistic spatial-temporal prediction of total and severe epidemic of dengue in Colombia].

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 data on the number of infected persons by department in the period 2005-2010, the proportion of cases of severe dengue was calculated with respect to the total for each year. Probability spaces were constructed to evaluate these events in the ranges 0.

[Evaluation in 18 hours of Cardiac Dynamics with the Mathematical Law of Dynamic Systems].

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 analyzed, 40 corresponded to subjects within the limits of normality and 80 with different pathologies. For each holter the attractors generated with the data during 18 hours and throughout the dynamics were analyzed.

Diagnosis of cervical cells based on fractal and Euclidian geometrical measurements: Intrinsic Geometric Cellular Organization.

Background: Fractal geometry has been the basis for the development of a diagnosis of preneoplastic and neoplastic cells that clears up the undetermination of the atypical squamous cells of undetermined significance (ASCUS).

Methods: Pictures of 40 cervix cytology samples diagnosed with conventional parameters were taken. A blind study was developed in which the clinic diagnosis of 10 normal cells, 10 ASCUS, 10 L-SIL and 10 H-SIL was masked.