The paper proposes, for the first time, a closed form of the Baker–Campbell–Hausdorff–Dynkin (BCHD) formula in the particular case of the Lie algebra of rigid body displacements. For this purpose, the structure of the Lie group of the rigid body displacements $SE\left(3\right)$ and the properties of its Lie algebra $\mathfrak{s}\mathfrak{e}\left(3\right)$ are used. In addition, a new solution to this problem in dual Lie algebra of dual vectors is delivered using the isomorphism between the Lie group $SE\left(3\right)$ and the Lie group of the orthogonal dual tensors.

The primary aim of the study was to investigate the prevalence of burnout in Romanian medical students during the COVID-19 pandemic using the Maslach Burnout Inventory-General Survey for Students (MBI-GS(S)). The presence of burnout was assessed based on Exhaustion (EX), Cynicism (CY) and Professional Efficacy (PE) subscales. The secondary aim of the study was to identify the presence of intentional shift in medical specialty compared to their initial pursued choice within the population investigated. Data was collected online at the end of 2020 and beginning of 2021 through a licensed, customized MBI-GS(S) questionnaire from a sample of 126 Romanian medical students at the two leading medical schools in the country, Iasi (N = 56) and Cluj Napoca (N = 70). Descriptive statistics and bivariate correlations were also applied to describe the data set (age and gender of participants) and the relationship between variables (EX, CY, PE). Subsequently, the MBI-GS(S) group report revealed that 36.5% of the medical students in the sample (46) experienced burnout, with problematic results both in Exhaustion and Cynicism. Exhaustion and Cynicism, which contribute to burnout, showed high scores compared to the average scale (EX = 3.5/2.4; CY = 2.8/1.8), while the Professional Efficacy score was relatively high (PE = 3.8/4.4), showing a protective effect and burnout reduction. One of the main conclusions is that the consequences of burnout in medical students plays a significant role in shaping the future healthcare practitioners’ perception of the medical profession and of patients’ wellbeing. Exhaustion and Cynicism are mainly associated with depersonalization and disconnection from the patient. Another conclusion of the study is that about one third of the respondents (30% Cluj students and 37.5% Iasi students) considered changing residency options. The pandemic has also revealed the limitations of and challenges facing current medical education, and that further research is required to assess the trends in prevalence of burnout in medical students.

Objectives: Nowadays universities face ever-increasing demands on quality of education, which is crucial from perspective of future graduates. In face of the need of constant quality improvements of medical curricula, it is important to seek strategies for their efficient management. The general trend is to develop electronic support tools to streamline the curricular design, analysis and harmonization. Methods: Based on the requirements we have identified by the needs analysis among curriculum designers, teachers and managers at five universities involved in the Building Curriculum Infrastructure in Medical Education (BCIME) project, and evidence published in literature on curriculum development, we have developed methodological guidelines on curriculum innovations and a software-based tools that help manage, map and analyse curricula in the medical and healthcare study fields. Results: In this paper, we share our experiences with building and implementation of EDUportfolio, an online platform developed within our consortium and intended to facilitate harmonisation and optimisation of medical outcome-based curricula. Its functionalities and outputs were verified by pilot mapping of Anatomy curricula as taught at partner universities in five European countries. Conclusions: The visualisation and the analysis of described curriculum data using natural language processing techniques revealed both the hidden relations between curriculum building blocks and a set of overlaps and gaps in curricula. In addition, we demonstrate both the usability of the platform in the context of the involved academic environments and the capability to map and compare curricula across different institutions and different countries.

Curriculum mapping is the process of designing a multidimensional model of an educational programme for a complete, more transparent and better-integrated learning experience. Many universities worldwide are building or expanding their technical infrastructure to manage their curricula. Our aim was to deliver a synopsis of current practices and describe the focus of research interest in implementing curriculum mapping tools for medical education. As part of the Building Curriculum Infrastructure in Medical Education (BCIME) project, we conducted a state-of-the-art narrative review of the literature. A systematised search of the PubMed/MEDLINE database for the years 2013–2019 resulted in 352 abstracts, from which 23 full-text papers were included in the final review. From these, we extracted guidance on 12 key characteristics of curriculum mapping tools. The collected experiences formed four thematic categories: visualisations, text descriptions and analysis, the outcome-based approach and adaptability in curriculum mapping. As result of the review, we summarised topics regarding ways of: implementating new competency-based catalogues (like NKLM) in curriculum mapping software (e. g., using dynamic checklists), methods of streamlining the authoring process (e. g., by automatic detection and alignment of action verbs in learning objectives descriptions) and graphical forms of presenting curriculum data (e. g., network visualisations using automatic clustering of related parts of a curriculum based on similarities between textual descriptions). We expect further developments in text-mining methods and visual/learning analytics in curriculum mapping. The collected data informed the design of a new curriculum management system called EduPortfolio, which is currently being implemented by the BCIME project.

Background/Objectives: Epilepsy is a complex neurological disorder with a strong link to oxidative stress, which contributes to seizure susceptibility and neuronal damage. This study aims to investigate the effects of curcumin (Cur), sodium valproate (VPA), and mitocurcumin (MitoCur), a mitochondria-targeted curcumin, on behavioral and oxidative stress parameters in a zebrafish model of pentylenetetrazole (PTZ)-induced seizures. Methods: Adult zebrafish were exposed to two concentrations (0.25 and 0.5 µM for Cur and MitoCur; 0.25 and 0.5 mM for VPA). Behavioral assessments, including locomotion, spatial exploration, and directional movement, were conducted using EthoVision XT tracking software. Oxidative stress markers, including superoxide dismutase (SOD), malondialdehyde (MDA), glutathione peroxidase (GPx), and total antioxidant status (TAS), were analyzed in brain homogenates. Results: Behavioral analyses indicated dose-dependent effects, with higher doses generally reducing activity. MitoCur at 0.25 µM enhanced antioxidant defenses and reduced oxidative damage, while higher doses exhibited a pro-oxidant shift. VPA at 0.25 mM improved TAS without significantly altering MDA levels. Conclusions: These findings emphasize the importance of dose optimization in antioxidant-based epilepsy treatments and highlight the potential of MitoCur as a targeted therapeutic option.

The limited antifungal drugs available and the rise of multidrug-resistant Candida species have made the efforts to improve antifungal therapies paramount. To this end, our research focused on the effect of a combined treatment between chemical and photodynamic therapy (PDT) towards a fluconazole-resistant clinical Candida albicans strain. The co-treatment of PDT and curcumin in various doses with fluconazole (FLC) had an inhibitory effect on the growth of the FLC-resistant hospital strain of C. albicans in both difusimetric and broth microdilution methods. The proliferation of the cells was inhibited in the presence of curcumin at 3.125 µM and FLC at 41 µM concentrations. The possible involvement of oxidative stress was analyzed by adding menadione and glutathione as a prooxidant and antioxidant, respectively. In addition, we examined the photoactivated curcumin effect on efflux pumps, a mechanism often linked to drug resistance. Nile Red accumulation assays were used to evaluate efflux pumps activity through fluorescence microscopy and spectrofluorometry. The results showed that photoactivated curcumin at 3.125 µM inhibited the transport of the fluorescent substrate that cells usually expel, indicating its potential in combating drug resistance. Overall, the findings suggest that curcumin, particularly when combined with PDT, can effectively inhibit the growth of FLC-resistant C. albicans, addressing the challenge of yeast resistance to azole antifungals through upregulating multidrug transporters.