• MATHEMATICAL MODELLING OF SOCIO-ECONOMIC PROCESSES AND SYSTEMS

    Mathematical Processing and Analysis of Sleep Signals Using a Portable and Cost-Effective Oculograph

    Mathematical Modeling, Vol. 8 (2024), Issue 2, pg(s) 71-74

    The study of sleep is crucial for understanding various physiological and neurological processes, yet research on different sleep phases often comes with high costs and requires specialized equipment. To address these challenges, we developed a portable and relatively inexpensive oculograph, which enables more accessible sleep studies. A critical technical aspect of using the device is the necessity for mathematical transformations to interpret the signals generated by eye movements, which are often complex and prone to noise. We implemented several mathematical procedures for noise reduction, signal filtering, and the extraction of key signal features. To assess the accuracy of the oculograph, we conducted 10 daytime experiments with predefined protocols involving specific eye movements. The results indicate that the oculograph successfully measures eye movements with high precision, which was further validated through comparison with graphical signal representations. Moreover, we performed tests for nighttime use of the device, and validation of REM sleep signals is planned using a camera to record the subject during sleep. These promising outcomes suggest significant potential for the oculograph to help sleep research by offering a more affordable and mobile solution, suitable for both laboratory and home environments. The mathematical procedures and signal processing techniques presented here are tailored to the needs of psychological and medical sleep studies. Additionally, practical applications of the oculograph for targeted sleep research, including tracking eye movements during various sleep stages, are proposed.

  • SOCIETY

    Emotional Illusions and Smoking: A Novel Psychological Perspective on Nicotine Addiction

    Science. Business. Society., Vol. 9 (2024), Issue 2, pg(s) 72-75

    According to the World Health Organization, smoking is one of the greatest threats to public health. In Bulgaria, this threat is particularly acute, as the country has the highest percentage of smokers and the highest mortality rate due to tobacco use among EU member states. Despite the well-documented health and financial detriments, the question of why people continue to smoke remains partially unresolved. This article proposes a novel psychological theory suggesting that the mild nicotine abstinent symptoms, combined with the initially unpleasant taste of cigarette smoke, create the perfect conditions for the emergence of “emotional illusions.” Emotional illusions, extensively studied in literature, occur when an unconscious external stimulus elicits an emotion, leading the brain to construct an illusory cause for the emotion. In the context of smoking, it is not boredom, nervousness, or stress that triggers the desire to smoke, but rather the mild withdrawal symptoms that the brain misinterprets as these states. The article concludes with preliminary empirical data supporting this hypothesis.

  • SOCIETY

    Consequences of inappropriate detection and removal of outliers in statistics

    Science. Business. Society., Vol. 7 (2022), Issue 2, pg(s) 65-68

    In statistics, the presence of outliers in the data set could wrongly distort the estimation of the mean. In addition, the extreme values increase the variability and consequently, the power of the statistical methods decreases. However, there are disagreements in the literature both about what the nature of outliers is, and about how to deal with them when doing further statistical analyses. A lot of conventional procedures for both detecting and dealing with outliers are discussed. The effect of increase the probability of error of the first order type is demonstrated with two simple simulations. The general conclusion is that an information outside of the data set is necessary for a correct decision. This information could come only from the human expertise of the researchers of the specific domain of in terest. The importance of the topic for outliers is discussed, the need of deeper analyses, accompanied with many simulation studies, is argued.

  • SCIENCE

    Automatic detection of the REM sleep phase during electrooculography

    Science. Business. Society., Vol. 8 (2023), Issue 2, pg(s) 36-39

    Sleep is not just a rest; it is a necessary part of the functioning of the cognitive system of people. Studying the role of sleep for effective functioning of the immune system, temperature regulation, memory, emotional regulation, learning and many other physiological and psychological processes is gaining more and more relevance. It attracts the attention of many leading researchers from around the world. The study of sleep by electrooculography (using three electrodes – two on the temples and one on the forehead) to track eye movements has a significant advantage over the more commonly used EEG methods due to its lower cost and the ability to quickly and efficiently collect large databases. A software-implemented algorithm for automatic recognition of the REM sleep phase during sleep is presented. This algorithm is a step of a larger project to create a system for external control of the content of dreams during REM sleep by providing scents and sounds, pre-associated with various stimuli and symbols. This system will allow in the future applying an automatic external influence on the sleeper during the REM phase. The development will have applications at research on the induction of selected elements during dreaming. This can help to people with post-traumatic stress disorder and phobias, as well for a more effective learning.