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.

Calculation of the eigenfunctions of the two-group neutron diffusion equation and application to modal decomposition of BWR instabilities

In this thesis, numerical methods aiming at determining the eigenfunctions, their adjoint and the corresponding eigenvalues of the two-group neutron diffusion equations representing any heterogeneous system are investigated. First, the classical power iteration method is modified so that the calculation of modes higher than the fundamental mode is possible. Thereafter, the Explicitly-Restarted Arnoldi method, belonging to the class of Krylov subspace methods, is touched upon. Although the modified power iteration method is a computationally-expensive algorithm, its main advantage is its robustness, i.e. the method always converges to the desired eigenfunctions without any need from the user to set up any parameter in the algorithm. On the other hand, the Arnoldi method, which requires some parameters to be defined by the user, is a very efficient method for calculating eigenfunctions of large sparse system of equations with a minimum computational effort. These methods are thereafter used for off-line analysis of the stability of Boiling Water Reactors. Since several oscillation modes are usually excited (global and regional oscillations) when unstable conditions are encountered, the characterization of the stability of the reactor using for instance the Decay Ratio as a stability indicator might be difficult if the contribution from each of the modes are not separated from each other. Such a modal decomposition is applied to a stability test performed at the Swedish Ringhals-1 unit in September 2002, after the use of the Arnoldi method for pre-calculating the different eigenmodes of the neutron flux throughout the reactor. The modal decomposition clearly demonstrates the excitation of both the global and regional oscillations. Furthermore, such oscillations are found to be intermittent with a time-varying phase shift between the first and second azimuthal modes.

Involvement and detachment in David Cameron and Ed Miliband’s political discourse. An analysis of deictic shields on the pronoun ‘I’ in UK 2015 General Election news interviews

The goal of my study is to investigate the relationship between selected deictic shields on the pronoun ‘I’ and the involvement/detachment dichotomy in a sample of television news interviews. I focus on the use of personal pronouns in political discourse. Drawing upon Caffi’s (2007) classification of mitigating devices into bushes, hedges and shields, I focus on deictic shields on the pronoun ‘I’: I examine the way a selection of ‘I’-related deictic shields is employed in a collection of news interviews broadcast during the electoral campaign prior to the UK 2015 General Election. My purpose is to uncover the frequencies of each of the linguistic items selected and the pragmatic functions of those linguistic items in the involvement/detachment dichotomy. The research is structured as follows. Chapter 1 provides an account of previous studies on the three main areas of research: speech event analysis, institutional interaction and the news interview, and the UK 2015 General Election television programmes. Chapter 2 is centred on the involvement/detachment dichotomy: I provide an overview of nonlinguistic and linguistic features of involvement and detachment at all levels of sentence structure. Chapter 3 contains a detailed account of the data collection and data analysis process. Chapter 4 provides an accurate description of results in three steps: quantitative analysis, qualitative analysis and discussion of the pragmatic functions of the selected linguistic features of involvement and detachment. Chapter 5 includes a brief summary of the investigation, reviews the main findings, and indicates limitations of the study and possible inputs for further research. The results of the analysis confirm that, while some of the linguistic items examined point toward involvement, others have a detaching effect. I therefore conclude that deictic shields on the pronoun ‘I’ permit the realisation of the involvement/detachment dichotomy in the speech genre of the news interview.