What does this research mean for the field?

The first and second derivatives (instantaneous velocity and acceleration) serve as a useful mathematical model for measuring the duration of REM sleep. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to show how the first and second derivatives can be used to measure REM sleep duration.

March 29, 2026Open Access

Propuesta de la utilidad de la primera y la segunda derivada para la medición de la duración del tiempo durante el sueño REM

Key Points

This work aims to show how the first and second derivatives can be used to measure REM sleep duration.
Review of existing literature on mathematical models of sleep measurement.
Analysis of the first and second derivatives as metrics for REM sleep.
The first and second derivatives effectively model the dynamics of REM sleep duration.
Using these derivatives provides a clearer understanding of sleep cycles.

Abstract

ARtculo dE REvisin ResumenEl objetivo del presente trabajo es demostrar la utilidad del criterio de la primera y segunda derivada (velocidad instantnea y aceleracin instantnea) como modelo matemtico para medir el tiempo del sueo REM, partiendo de la diferencia expe-

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