According to this non-chronological order, the first two papers were focused on the signal processing level, whereas the last two were aimed at providing assistive applications. The first paper (Martínez-Cagigal et al., 2019b) dealt with the need of supervision of current BCIs. Nowadays, most P300-based BCIs rely on synchronous paradigms, leading to a random selection of commands even when 1.1. Compendium of publications: thematic consistency 3 users are not paying attention to the stimuli. We investigated if sample entropy features are able to track users' attention in real-time and provide an asynchronous (i.e., self-paced) control of the system. We also developed a wrapper thresholdbased approach, which was then applied in the third and fourth (Martínez-Cagigal et al., 2019a) papers. In the second paper (Martínez-Cagigal et al., 2020), we assessed the ability of three single-and three multi-objective meta-heuristics to select a customized channel set for each user.Then, we developed and proposed a novel method to overcome their limitations, and we established a set of guidelines for adapting any meta-heuristic algorithm to the P300-BCI channel selection problem. The last two papers were intended to develop practical assistive BCIs for bridging the accessibility gap in new technologies for the severely disabled. In particular, the third paper (Martínez-Cagigal et al., 2017) was aimed at providing an asynchronous P300-based BCI web browser. For the sake of viability, the system was tested with sixteen multiple sclerosis patients and five healthy volunteers, reaching average accuracies of 84.14% and 95.75%, respectively. Lastly, the fourth paper (Martínez-Cagigal et al., 2019a) was also intended to provide a P300-based assistive application for motor-disabled people.This time the paper presented an asynchronous BCI for controlling smartphonebased social networks. The system was tested with eighteen motor-disabled and ten healthy subjects, achieving mean accuracies of 80.6% and 92.3%, respectively.Due to the structure of the present Doctoral Thesis, organized as a compendium of publications, consulting each paper separately is essential for a comprehensive understanding of this document as a whole. Therefore, Appendix A includes the aforementioned manuscripts. Titles, authors, and abstracts of each one, as well as the journals in which they were published are shown below:Asynchronous control of P300-based Brain-Computer Interfaces using sample entropy (Martínez-Cagigal et al., 2019b).