Introduction of Application of Gini Coefficient to Heart Rate Variability Spectrum for Mental Stress Evaluation / Introdução da Aplicação do Coeficiente de Gini ao Espectro de Variabilidade da Frequência Cardíaca para Avaliação do Estresse Mental

Abstract Background: The Gini coefficient is a statistical tool generally used by economists to quantify income inequality. However, it can be applied to any kind of data with unequal distribution, including heart rate variability (HRV). Objectives: To assess the application of the Gini coefficient to measure inequality in power spectral density of RR intervals, and to use this application as a psychophysiological indicator of mental stress. Methods: Thirteen healthy subjects (19 ± 1.5 years) participated in this study, and their RR intervals were obtained by electrocardiogram during rest (five minutes) and during mental stress (arithmetic challenge; five minutes). These RR intervals were used to obtain the estimates of power spectral densities (PSD). The limits for the PSD bands were defined from 0.15 to 0.40 Hz for high frequency band (HF), from 0.04 to 0.15 Hz for low frequency band (LF), from 0.04 to 0.085 Hz for first low frequency sub-band (LF1) and from 0.085 to 0.15 Hz for second low frequency sub-band (LF2). The spectral Gini coefficient (SpG) was proposed to measure the inequality in the power distribution of the RR intervals in each of above-mentioned HRV bands. SpG from each band was compared with its respective traditional index of HRV during the conditions of rest and mental stress. All the differences were considered statistically significant for p < 0.05. Results: There was a significant decrease in HF power (p = 0.046), as well as significant increases in heart rate (p = 0.004), LF power (p = 0.033), LF2 power (p = 0.019) and LF/HF (p = 0.002) during mental stress. There was also a significant increase in SpG(LF) (p = 0.009) and SpG(LF2) (p = 0.033) during mental stress. Coefficient of variation showed SpG has more homogeneity compared to the traditional index of HRV during mental stress. Conclusions: This pilot study suggested that spectral inequality of Heart Rate Variability analyzed using the Gini coefficient seems to be an independent and homogeneous psychophysiological indicator of mental stress. Also, HR, LF/HF, SpG(LF) of HRV are possibly important, reliable and valid indicators of mental stress.

Resumo Fundamento: O coeficiente de Gini é um instrumento estatístico geralmente usado por economistas para quantificar a desigualdade de renda. No entanto, ele pode ser aplicado a qualquer tipo de dados com distribuição desigual, incluindo a variabilidade da frequência cardíaca (VFC). Objetivos: Avaliar a aplicação do coeficiente de Gini para medir a desigualdade na densidade espectral de potência de intervalos RR, e usar esta aplicação como um indicador psicofisiológico do estresse mental. Métodos: Treze indivíduos saudáveis (19 ± 1,5 anos) participaram deste estudo, e seus intervalos RR foram obtidos por eletrocardiograma durante repouso (cinco minutos) e durante estresse mental (desafio aritmético; cinco minutos). Esses intervalos RR foram utilizados para obter as estimativas de densidades espectrais de potência (PSD). Os limites para as bandas PSD foram definidos de 0,15 a 0,40 Hz para banda de alta frequência (HF), de 0,04 a 0,15 Hz para banda de baixa frequência (LF), de 0,04 a 0,085 Hz para a primeira sub-banda de baixa frequência (LF1) e de 0,085 a 0,15 Hz para a segunda sub-banda de baixa frequência (LF2). O coeficiente de Gini espectral (SpG) foi proposto para medir a desigualdade na distribuição de potência dos intervalos RR em cada uma das bandas de VFC mencionadas acima. O SpG de cada banda foi comparado com seu respectivo índice tradicional de VFC durante as condições de repouso e de estresse mental. Todas as diferenças foram consideradas estatisticamente significativas para p < 0,05. Resultados: Houve uma diminuição significativa no poder de FC (p=0,046), bem como aumentos significativos na frequência cardíaca (p = 0,004), potência da LF (p = 0,033), potência da LF2 (p = 0,019) e LF/HF (p = 0,002) durante estresse mental. Houve também um aumento significativo de SpG(LF) (p = 0,009) e SpG(LF2) (p = 0,033) durante estresse mental. O coeficiente de variação mostrou que o SpG tem mais homogeneidade em comparação com o índice tradicional de VFC durante o estresse mental. Conclusões: Este estudo piloto sugeriu que a desigualdade espectral da VFC analisada pelo coeficiente de Gini parece ser um indicador psicofisiológico independente e homogêneo de estresse mental. Além disso, FC, LF/HF, SpG(LF) da VFC são possivelmente indicadores importantes, confiáveis e válidos de estresse mental.

Respuesta autonómica cardiovascular durante la prueba isométrica cubana del peso sostenido / Cardiovascular autonomic response during the Cuban dynamic weight-bearing test

RESUMEN Introducción: La prueba del peso sostenido (PPS) es un ejercicio isométrico cubano, similar a la de handgrip, de mucha utilidad para inducir modificaciones hemodinámicas que permiten identificar la hiperreactividad cardiovascular en poblaciones de riesgo. Sin embargo, los cambios en la respuesta autonómica cardiovascular durante la PPS no se encuentran totalmente dilucidados. Objetivo: Determinar la respuesta autonómica cardiovascular durante la prueba isométrica cubana del peso sostenido. Método: Estudio cuasi-experimental (crossover) con 16 sujetos sanos, donde se evaluaron la presión arterial y la variabilidad de la frecuencia cardíaca, 5 minutos antes (reposo) y durante la PPS (2 minutos de maniobra y 3 minutos de recuperación), a través del análisis frecuencial (Fourier) y en tiempo-frecuencia (wavelet) de las bandas de altas (HF: 0,15-0,4 Hz) y bajas frecuencias (LF: 0,04-0,15 Hz), así como el análisis temporal y no-lineal (entropía de Shannon) de la serie de intervalos RR. Resultados: Aunque no existieron diferencias significativas (p>0,05) en los indicadores temporales (SDNN, RMSSD, pNN50), ni en los frecuenciales (LF, HF, LF/HF), se encontraron incrementos (p<0,05) de la presión arterial y una disminución significativa (p<0,05) de la complejidad (entropía) en la PPS con respecto al reposo, asociados con un pico en la LF y la relación LF/HF alrededor de los 2 minutos reflejados con los métodos en tiempo-frecuencia. Conclusiones: Existió un incremento dinámico en la respuesta simpática cardiovascular durante la PPS que se asocian a una disminución de la complejidad de este proceso fisiológico, lo que no es evidente con los métodos lineales tradicionales de la variabilidad de la frecuencia cardíaca.

ABSTRACT Introduction: The dynamic weight-bearing test (WBT) is a Cuban isometric exercise, similar to the hand grip test, which is very useful to induce hemodynamic modifications to identify cardiovascular hyperreactivity in at-risk populations. However, changes in the cardiovascular autonomic response during weight-bearing test are poorly understood. Objective: To determine the cardiovascular autonomic response during the Cuban dynamic WBT. Method: Quasi-experimental crossover trial with 16 healthy subjects; blood pressure and heart rate variability were assessed, 5 minutes before (rest) and during the WBT (2 minutes for maneuver and 3 minutes for recovery), through the frequency (Fourier) and time-frequency (Wavelet) analysis of high-frequency (HF: 0.15-0.4 Hz) and low-frequency (LF: 0.04-0.15 Hz) bands, as well as temporal and non-linear analysis (Shannon entropy) of the RR interval series. Results: Although temporal indicators (SDNN, RMSSD, pNN50) showed no significant differences (p>0.05) nor the frequencies (LF, HF, LF/HF); we found an increase (p<0.05) in blood pressure and a significant decrease (p<0.05) in complexity (entropy) in the WBT with respect to rest, associated with an HF peak and LF/HF ratio at nearly 2 minutes reflected with the time-frequency methods. Conclusions: There was a dynamic increase in the cardiovascular sympathetic response during the WBT associated with a decrease in the complexity of this physiological process, which is not evident with the traditional linear methods of heart rate variability.

Algoritmo para la detección de puntos clínicos de interés de la onda de pulso arterial / Algorithm for the detection of clinical points of interest of the arterial pulse wave

Introducción: La aplicación de métodos para la detección de puntos clínicos de interés de la onda de pulso permite la obtención de parámetros como el índice de rigidez vascular y el de reflexión que facilitan la evaluación de los efectos vasculares del envejecimiento, la hipertensión y la aterosclerosis. Por esto es necesaria la adecuada localización del inicio, pico sistólico, incisura dicrota y el pico diastólico de la onda de pulso arterial. Objetivo: Desarrollar un algoritmo para la localización del inicio, pico sistólico, incisura dicrota y el pico diastólico de la onda de pulso arterial. Método: El algoritmo presentado utiliza la primera derivada unido a condicionales móviles para eliminar puntos no deseados, al igual que intervalos no confiables. El algoritmo fue evaluado utilizando la anotación de un experto, con 5 registros de onda de pulso arterial de 5 minutos (5236 anotaciones) y contaminadas a diferente relaciones señal ruido (15, 12 and 9 dB). Resultados: Cuando se comparó con las anotaciones de un experto el algoritmo detecto estos puntos fiduciales con una sensibilidad promedio, predictividad positiva y exactitud del 100 por ciento y mostró errores menores de 10ms. En señales de onda de pulso arterial contaminadas con ruido en ambos casos el error relativo fue menor que 2 por ciento respecto a un periodo de muestreo de 800ms. Conclusiones: el algoritmo provee una simple pero precisa detección de los puntos clínicos de interés de la onda de pulso arterial, robusto a ruido y artefactos de movimiento que pudiera ser utilizado en la evaluación del índice de rigidez y de reflexión vascular(AU)

Introduction: The application of methods for the detection of clinical points of interest of the pulse wave allows obtaining parameters such as the index of vascular rigidity and reflection that facilitate the evaluation of the vascular effects of aging, hypertension and atherosclerosis. For this reason, the appropriate localization of the onset, systolic peak, dicrotic notchs and the diastolic peak of the arterial pulse wave is necessary. Objective: To develop an algorithm for the localization of the onset, systolic peak, dicrotic notchs and the diastolic peak of the arterial pulse wave. Method: The presented algorithm uses the first derivative linked to mobile conditionals to eliminate unwanted points, as well as unreliable intervals. The algorithm was evaluated using the annotation of an expert, with 5 records of arterial pulse wave of 5 minutes (5236 annotations) and contaminated at different signal-to-noise ratios (15, 12 and 9 dB). Results: When compared with the annotations of an expert, the algorithm detected these fiducial points with an average sensitivity, positive predictivity and 100 percent accuracy and showed errors of less than 10ms. In arterial pulse wave signals contaminated with noise in both cases the relative error was less than 2 percent with respect to a sampling period of 800ms. Conclusions: the algorithm provides a simple but accurate detection of the clinical points of interest of the arterial pulse wave, robust to noise and movement artifacts that could be used in the evaluation of the stiffness index and vascular reflection(AU)