mDFA Detects Abnormality: From Heartbeat to Material Vibration

Abstract

Modified detrended fluctuation analysis (mDFA) is a novel method to check abnormality of heartbeat which is developed recently by the author. mDFA can characterize any oscillation such as heartbeat by the scaling exponent (scaling index, SI). Healthy heartbeat shows SI = 1. Dying heart's SI sifts toward 0.5. Ischemic sick heart experimentally showed an SI way over 1.0 approaching 1.5. Random vibration, such as FM-radio noise and idling car-engine, shows SI = 0.5. Quietly running motor generates an SI almost equal to zero. Using mDFA, it is possible to check potential risk based on SI values. This chapter shows empirical results quantifying various signals from heartbeat to material vibration.

A Heartbeat-Interval Time Series Analysis, Modified Detrended Fluctuation Analysis, mDFA, Distinguishes between Stressed- and Happy-Heartbeats: From Invertebrate Animals to Humans

“…There are important conceptual differences in the algorithm between DFA and mDFA that were already mentioned elsewhere in 2015 and 2019 [16,17]. Here, we shall explain it briefly.…”

“…From our experimental evidence, mDFA seems to work over a wide range of the scaling exponent, from the value near zero (which can be seen on a smoothly running electric motor) to the value surpass 2.0 (which can be seen on the heartbeats at unpleasant psychological state caused by the WPW syndrome, where the brain cannot receive enough oxygen supply from the heart) (Figures 11 and 12) [16][17][18]. Furthermore, the scaling exponent of a girl suffering from WPW syndrome quickly returns to a normal value, around 1.0, after abnormal heartbeat disappeared, that is, coming to a normal heart condition (Figures 11 and 12).…”

“…that the heartbeats suddenly encounter a critical moment. We created a different method, modified detrended fluctuation analysis (mDFA) [16,17] with neurobiological thinking.…”

“…She is approximately 10 years old. The family, parents, and children have moved to United States from Cuba to receive medical mDFA's log-log graphic demonstration (see [16][17][18]…”

“…Thus, we temporarily conclude that mDFA is successful and acceptable as an efficient tool in the neurobiology of the cardio-regulatory system. Using mDFA, we can tell the distinction between happy hearts and stressed hearts, or between the hearts of natural death and unpredictable death [16][17][18]. A, B, and C).…”