Background and Objective: The electrocardiogram (ECG) is the most important non-invasive method for elucidating information about heart cardiovascular disease diagnosis. Typically, ECG system manufacturing companies provide images, but store numerical data in a proprietary format that not interpretable therefore useful automatic There have been many efforts to digitize paper-based ECGs. main limitations of previous works digitization are they require manual selection regions interest, only...

Abstract Motivated by applications in physical and biological sciences, we developed a Frequency Modulated Möbius ( FMM ) model to describe rhythmic patterns oscillatory systems. Unlike standard symmetric sinusoidal models, is flexible parametric that allows deformations shape accommodate commonly seen asymmetries applications. parameters are easy estimate the interpret complex data. We illustrate three disparate applications, namely, circadian clock gene expression, corticoptropin levels...

Oscillatory systems arise in the different science fields. Complex mathematical formulations with differential equations have been proposed to model dynamics of these systems. While they advantage having a direct physiological meaning, are not useful practice as result parameter adjustment complexity and presence noise. In this paper, novel decomposition approach AM-FM components, competing Fourier other decompositions is presented. Several interesting theoretical properties derived...

A novel approach for analysing cardiac rhythm data is presented in this paper. Heartbeats are decomposed into the five fundamental $P$, $Q$, $R$, $S$ and $T$ waves plus an error term to account artefacts which provides a meaningful, physical interpretation of heart's electric system. The morphology each wave concisely described using four parameters that allow all different patterns heartbeats be characterized thus differentiated This multi-purpose solves such questions as extraction...

The Pattern Electroretinogram (PERG) is an essential tool in ophthalmic electrophysiology, providing objective assessment of the central retinal function. It quantifies activity cells macula and ganglion retina, assisting differentiation macular optic nerve conditions. In this study, we present IOBA-PERG dataset, extensive collection 1354 transient PERG responses accessible on PhysioNet repository. These recordings were conducted at Institute Applied Ophthalmobiology (IOBA) University...

This paper is dedicated to the R package FMM which implements a novel approach describe rhythmic patterns in oscillatory signals. The frequency modulated M\"obius (FMM) model defined as parametric signal plus gaussian noise, where can be described single or sum of waves. flexible enough great variety patterns. includes all required functions fit and explore multi-wave models, well restricted version that allows equality constraints between parameters representing priori knowledge about shape...

This paper is motivated by applications in oscillatory systems where researchers are typically interested discovering components of those that display rhythmic temporal patterns. The contributions this twofold. First, a methodology developed based on circular signal plus error model defined using order restrictions. mathematical formulation rhythmicity simple, easily interpretable and very flexible, with the latter property derived from nonparametric signal. Second, we address various...

The circadian system drives near-24-h oscillations in behaviors and biological processes. underlying core molecular clock regulates the expression of other genes, it has been shown that more than 50 percent genes mammals displays 24-h rhythmic patterns, with specific cycle varying from one tissue to another. Determining gene patterns human tissues sampled as single timepoints several challenges, including reconstruction temporal order highly noisy data. Previous methodologies have attempted...

Abstract Motivation Many biological processes, such as cell cycle, circadian clock, menstrual cycles, are governed by oscillatory systems consisting of numerous components that exhibit rhythmic patterns over time. It is not always easy to identify components. For example, it a challenging problem genes in given tissue using time-course gene expression data. There great potential for misclassifying non-rhythmic and vice versa. This has been considerable interest recent years. In this article...

Motivation: Gene-expression data obtained from high throughput technologies are subject to various sources of noise and accordingly the raw pre-processed before formally analyzed. Normalization is a key pre-processing step, since it removes systematic variations across arrays. There numerous normalization methods available in literature. Based on our experience, context oscillatory systems, such as cell-cycle, circadian clock, etc., choice method may substantially impact determination gene...

Oscillatory systems arise in the different biological and medical fields. Mathematical statistical approaches are fundamental to deal with these processes. The Frequency Modulated Mobiüs approach (FMM), reviewed this paper, is one of approaches. Little known as it has been recently developed, solves a variety exciting questions real data; some them, such decomposition signal into components their multiple uses, general application, others specific. Among specific applications automatic...

Mathematical models of cardiac electrical activity are one the most important tools for elucidating information about heart diagnostic. Even though it is major problems in biomedical research, an efficient mathematical formulation this modelling has still not been found. In paper, we present outstanding model. It relies on a five dipole representation electric source, each associated with well-known waves electrocardiogram signal. The simple enough to be easily parametrized and rich provide...

A bstract The circadian system drives near-24-h oscillations in behaviors and biological processes. underlying core molecular clock regulates the expression of other genes, it has been shown that more than 50 percent genes mammals displays 24-h rhythmic patterns, with specific cycle varying from one tissue to another. Determining gene patterns human tissues sampled as single timepoints several challenges, including reconstruction temporal order highly noisy data. Previous methodologies have...