On the Extension of the Erdos-Mordell Type Inequalities

We discuss the extension of inequality R_A >= c/a * r_b + b/a * r_c to the plane of triangle ABC. Based on the obtained extension, in regard to all three vertices of the triangle, we get the extension of Erdos-Mordell inequality, and some inequalities of Erdos-Mordell type

The Geometry of Trifocal Curves with Applications in Architecture, Urban and Spatial Planning

In this paper we consider historical genesis of trifocal curve as an optimal curve for solving the Fermat's problem (minimizing the sum of distance of one point to three given points in the plane). Trifocal curves are basic plane geometric forms which appear in location problems. We also analyze algebraic equation of these curves and some of their applications in architecture, urbanism and spatial planning. The area and perimeter of trifocal curves are calculated using a Java application. The Java applet is developed for determining numerical value for the Fermat-Torricelli-Weber point and optimal curve with three foci, when starting points are given on an urban map. We also present an application of trifocal curves through the analysis of one specific solution in South Stream gas pipeline project.Comment: accepted in SPATIUM International Review, 201

PSYCHOLOGICAL EFFECTS OF "DOUBLE CRISIS" (COVID-19 PANDEMIC AND EARTHQUAKES) ON CROATIAN MEDICAL STUDENTS

Introduction: In 2020. the COVID-19 pandemic presented an additional source of stress and anxiety not just to the general population but also to medical students who are, even under normal circumstances, constantly under pressure due to demanding student duties. In addition, they experienced a series of devastating earthquakes in and around the Zagreb region which altogether could have had compromised their psychological well-being. The aim of this review was to evaluate the psychological effects of these two natural disasters on the mental health of Croatian medical students. Results: According to standardized questionnaires for depression and anxiety evaluation, 75.3% of students were anxious and 65.2% were depressive during to outcomes was observed regarding genders, but it was found that first year students had a significantly higher anxiety score than older ones. Conclusion: In such stressful situations, we should emphasize the importance of mental health not just of healthcare workers, but also of medical students in order to prevent serious psychological consequences and to alleviate the negative motivation and their educational process

PSYCHOLOGICAL EFFECTS OF "DOUBLE CRISIS" (COVID-19 PANDEMIC AND EARTHQUAKES) ON CROATIAN MEDICAL STUDENTS

Introduction: In 2020. the COVID-19 pandemic presented an additional source of stress and anxiety not just to the general population but also to medical students who are, even under normal circumstances, constantly under pressure due to demanding student duties. In addition, they experienced a series of devastating earthquakes in and around the Zagreb region which altogether could have had compromised their psychological well-being. The aim of this review was to evaluate the psychological effects of these two natural disasters on the mental health of Croatian medical students. Results: According to standardized questionnaires for depression and anxiety evaluation, 75.3% of students were anxious and 65.2% were depressive during to outcomes was observed regarding genders, but it was found that first year students had a significantly higher anxiety score than older ones. Conclusion: In such stressful situations, we should emphasize the importance of mental health not just of healthcare workers, but also of medical students in order to prevent serious psychological consequences and to alleviate the negative motivation and their educational process

Predictors of unfavourable outcome in aneurysmal subarachnoid haemorrhage

Background. Mortality rates following aneurysmal subarachnoid haemorrhage (aSAH) have decreased due to improvements in diagnoses and the management of complications, as well as early obliteration of the aneurysms. Neurogenic pulmonary oedema (NPO) is a clinical syndrome associated with an acute increase in intracranial pressure and a release of catecholamines into the circulation. This study investigated independent predictors of unfavourable outcomes (Glasgow Outcome Scores 1, 2 or 3) in patients with aSAH. Materials and methods. A total of 262 patients with aSAH (162 females) were included in this prospective study. Clinical characteristics were assessed, and electrocardiographic, serum cardiac and inflammatory biomarker measurements were recorded on admission. Outcomes were assessed three months after admission. Univariate and multivariate analyses of these data were used to predict unfavourable outcomes. Results. A total of 156 patients (59.54%) had unfavourable outcomes. Compared to those who had favourable outcomes, patients with unfavourable outcomes were significantly older (54.37 ± 10.56 vs. 49.13 ± 10.77 years; p < 0.001) and had more severe aSAHs (Hunt and Hess grades ≥ 3: 82.7% vs. 39.6%; p < 0.001). Patients with unfavourable outcomes were more likely to have NPO (10.3% vs. 2.8%; p = 0.023), hydrocephalus (34.0% vs. 20.8%; p = 0.02), and aneurysm reruptures (28.2% vs. 3.8%; p < 0.001).Independent predictors of an unfavourable outcome included Hunt and Hess grades ≥ 3 (odds ratio [OR], 4.291; 95% confidence interval [CI], 2.168–8.491; p < 0.001), increased systolic blood pressure on admission (OR, 1.020; 95% CI, 1.002–1.038; p = 0.03), increased heart rate (HR) on admission (OR, 1.024; 95% CI, 1.001–1.048; p = 0.04), and aneurysm rerupture (OR, 4.961; 95% CI, 1.461–16.845; p = 0.01).Conclusions. These findings suggest that aneurysm reruptures, as well as increased blood pressure and HR, are associated with unfavourable outcomes in patients with aSAH

INTEGRATION OF COMPLEMENTARY BIOMARKERS IN PATIENTS WITH FIRST EPISODE PSYCHOSIS: RESEARCH PROTOCOL OF A PROSPECTIVE FOLLOW UP STUDY

In this project, we recruited a sample of 150 patients with first episode of psychosis with schizophrenia features (FEP) and 100 healthy controls. We assessed the differences between these two groups, as well as the changes between the acute phase of illness and subsequent remission among patients over 18-month longitudinal follow-up. The assessments were divided into four work packages (WP): WP1- psychopathological status, neurocognitive functioning and emotional recognition; WP2- stress response measured by saliva cortisol during a stress paradigm; cerebral blood perfusion in the resting state (with single photon emission computed tomography (SPECT) and during activation paradigm (with Transcranial Ultrasonography Doppler (TCD); WP3-post mortem analysis in histologically prepared human cortical tissue of post mortem samples of subjects with schizophrenia in the region that synaptic alteration was suggested by WP1 and WP2; WP4- pharmacogenetic analysis (single gene polymorphisms and genome wide association study (GWAS). We expect that the analysis of these data will identify a set of markers that differentiate healthy controls from patients with FEP, and serve as an additional diagnostic tool in the first episode of psychosis, and prediction tool which can be then used to help tailoring individualized treatment options. In this paper, we describe the project protocol including aims and methods and provide a brief description of planned post mortem studies and pharmacogenetic analysis