The FMM Approach to Analyze Biomedical Signals: Theory, Software, Applications and Future

Abstract

Oscillatory systems arise in the different biological and medical fields. Mathematical and statistical approaches are fundamental to deal with these processes. The Frequency Modulated Mobiüs approach (FMM), reviewed in this paper, is one of these approaches. Little known as it has been recently developed, it solves a variety of exciting questions with real data; some of them, such as the decomposition of the signal into components and their multiple uses, are of general application, others are specific. Among the exciting specific applications is the automatic interpretation of the electrocardiogram signal. In this paper, a summary of the theoretical, statistical and computational properties of the FMM approach are revised. Additionally, as a novelty, the FMM approach’s usefulness for the analysis of blood pressure signals is shown. For the latter, a new robust estimation algorithm is proposed using FMM models with restrictions. The paper ends with a view about challenges for the future.

Band-limited functions, and Time-Frequency Analysis of Non-Stationary Signals: Application to Bioelectrical Signals Analysis

“…Another anomalies, related to insufficient blood supply to heart, cause of myocardial infarction and angina pectoris, or another more specific ones, will not be discussed here ( [111]). Also, several strategies, methods, and techniques have been designed and/or applied to deal with this kind of signals, being applied in many disciplines ( [130], [121], [1], [21], [83], [60], [10], [141], [129], [109], and references therein). Actually, HSA-based methodologies have also been applied to the study of ECG signals ( [90], [88], [82], [134], [113], [74], [73]; see also [138]).…”

FMM: An R Package for Modeling Rhythmic Patterns in Oscillatory Systems

“…0 3 8 4 useful tool to model complex rhythmic patterns. The FMM methodology and its application to very diverse biological data has been described in previous papers [Rueda et al, 2019[Rueda et al, , 2021b and recently revised in Rueda et al [2021a].…”