A Phase Space Box-counting based Method for Arrhythmia Prediction from Electrocardiogram Time Series

Arrhythmia is one kind of cardiovascular diseases that give rise to the number of deaths and potentially yields immedicable danger. Arrhythmia is a life threatening condition originating from disorganized propagation of electrical signals in heart resulting in desynchronization among different chambers of the heart. Fundamentally, the synchronization process means that the phase relationship of electrical activities between the chambers remains coherent, maintaining a constant phase difference over time. If desynchronization occurs due to arrhythmia, the coherent phase relationship breaks down resulting in chaotic rhythm affecting the regular pumping mechanism of heart. This phenomenon was explored by using the phase space reconstruction technique which is a standard analysis technique of time series data generated from nonlinear dynamical system. In this project a novel index is presented for predicting the onset of ventricular arrhythmias. Analysis of continuously captured long-term ECG data recordings was conducted up to the onset of arrhythmia by the phase space reconstruction method, obtaining 2-dimensional images, analysed by the box counting method. The method was tested using the ECG data set of three different kinds including normal (NR), Ventricular Tachycardia (VT), Ventricular Fibrillation (VF), extracted from the Physionet ECG database. Statistical measures like mean (μ), standard deviation (σ) and coefficient of variation (σ/μ) for the box-counting in phase space diagrams are derived for a sliding window of 10 beats of ECG signal. From the results of these statistical analyses, a threshold was derived as an upper bound of Coefficient of Variation (CV) for box-counting of ECG phase portraits which is capable of reliably predicting the impeding arrhythmia long before its actual occurrence. As future work of research, it was planned to validate this prediction tool over a wider population of patients affected by different kind of arrhythmia, like atrial fibrillation, bundle and brunch block, and set different thresholds for them, in order to confirm its clinical applicability.

Traduzione del primo canto dell'inferno dantesco in arabo

In this thesis, I have chosen to translate from Italian into Arabic Canto I of the Inferno, from Dante Alighieri’s epic poem the Divine Comedy (La Divina Commedia) because it’s a masterpiece in both Italian and world literature. Also I have selected it for its artistic value and the universal themes that it depicts. In fact, my purpose in translating this great work into Arabic is to extol the cultural and universal aspects that can be common to human beings everywhere. My paper is written in Arabic and has six sections: A brief introduction on Dante’s life, an introduction to the Divine Comedy, a summary of Canto 1 of the Inferno and its analysis, Canto I of the Inferno in Italian, its translation into Arabic and finally a comment on the translation. The first part -a summary of Dante’s life was presented. The second part of my paper is an introduction to the Divine Comedy, the allegorical epic poem, consisting of three parts: The Inferno (Hell), Purgatorio (Purgatory), and Paradiso (Paradise). The third part is a summary and analysis of Canto 1 of the Inferno, Dante’s most renowned verses. The analysis of Canto highlights the everlasting conflict of man– sinning and giving in to temptation but then trying to repent and search for his soul’s salvation. He reflects on sin, existence, truth, God, love and salvation in his struggle through the dark and gloomy forest which symbolizes conflict and temptations man may succumb to. The influence of Christianity and the Middle ages here shows his commitment to religion and faith. Moreover, his meeting of Virgil, who guides him to the mountain during his journey to salvation, reflects the positive impact of Virgil’s philosophy on Dante. The fourth part presents the Italian version of Canto 1 of the Inferno. The fifth section of my paper is the translation of Canto 1 of the Inferno from Italian to Arabic. Translating an excerpt of Dante’s masterpiece was not an easy task: I had to consult several critique texts besides the Italian source text with explanations, and also some English versions to overcome any translation difficulties. As a student of translation, my goal was to be faithful in relaying to the Arabic audience the authenticity of Dante’s work, his themes, passions and aesthetic style. Finally, I present a conclusion including a comment on the translation and the bibliography of the sources I have consulted.