Minimalize of outdegree of vertices into an almost regular graph

Tato práce se zabývá minimalizací nejvyššího odchozího stupně vrcholu v téměř pravidelném grafu. Téměř pravidelný graf je graf, v němž se nejnižší a nejvyšší stupeň vrcholu liší maximálně o 2. Nejprve ukážeme, jak určit optimální hodnotu nejvyššího odchozího stupně v daném téměř pravidelném grafu, a pak i způsob, jak orientaci hran s minimálním nejvyšším odchozím stupněm nalézt. Součástí práce je i algoritmus napsaný v Matlabu, který pro zadaný téměř pravidelný graf určí optimální orientaci jeho hran. Práce by měla mít využití při paralelních numerických výpočtech, kde rozdělujeme zadaný objekt do několika podoblastí a na každém vlákně je zpracovávána jedna podoblast spolu s několika částmi své hranice. Orientace hran duálního grafu (každá podoblast je v duálním grafu reprezentována jedním vrcholem a hrana je mezi dvěma vrcholy, pokud dané podoblasti mají společnou hranici) určí, v rámci kterého vlákna se bude výpočet na hranici mezi dvěma oblastmi provádět tak, aby na žádném vlákně nebylo příliš mnoho výpočtů.This thesis is focused on the minimization of the maximum outdegree of vertex in an almost regular graph. The almost regular graph is a graph in which the difference between maximum and minimum degree of vertex is at most two. First we will show how to determine the optimal value of maximum outdegree of given almost regular graph and then we will show the way, how we can find the orientation with minimized maximum outdegree. We also give Matlab algorithm which finds optimal edge orientation for given almost regular graph. Our results can be used in parallel numerical computing where given object is divided into subdomains and each thread is used for computing on one subdomain and on some parts of the boundary of this subdomain. The edge orientation of a dual graph (each subdomain is represented by one vertex and there is an edge between two vertices if the subdomains represented by these vertices are neighboring) determines which thread will be used for computing on the boundary between any two vertices as we want to minimize the largest number of tasks on a thread.470 - Katedra aplikované matematikyvýborn

The EULAR Study Group for Registers and Observational Drug Studies: comparability of the patient case mix in the European biologic disease modifying anti-rheumatic drug registers

Objective. Under the auspices of the European League Against Rheumatism (EULAR), a study group of investigators representing European biologic DMARD (bDMARD) registers was convened. The purpose of this initial assessment was to collect and compare a cross section of patient characteristics and collate information on the availability of potential confounders within these registers. Methods. Baseline characteristics of patients starting their first bDMARD in an arbitrary year (2008) for the treatment of RA, including demographic and disease characteristics, bDMARD drug details and co-morbidities, were collected and compared across 14 European bDMARD registers. Results. A total of 5320 patients were included. Half the registers had restricted recruitment to certain bDMARDs during the study year. All registers's collected data on age, gender, disease duration, seropositivity for IgM-RF and 28-joint DAS (DAS28). The mean DAS28 ranged from 4.2 to 6.6 and the mean HAQ from 0.8 to 1.9. Current smoking ranged from 9% to 34%. Nine registers reported co-morbidities with varying prevalence. Conclusion. In addition to demonstrating European-wide collaboration across rheumatology bDMARD registers, this assessment identified differences in prescribing patterns, recruitment strategies and data items collected. These differences need to be considered when applying strategies for combined analysis. The lack of a common data model across Europe calls for further work to harmonize data collection across register

EQ-5D in Central and Eastern Europe : 2000-2015

Objective: Cost per quality-adjusted life year data are required for reimbursement decisions in many Central and Eastern European (CEE) countries. EQ-5D is by far the most commonly used instrument to generate utility values in CEE. This study aims to systematically review the literature on EQ-5D from eight CEE countries. Methods: An electronic database search was performed up to July 1, 2015 to identify original EQ-5D studies from the countries of interest. We analysed the use of EQ-5D with respect to clinical areas, methodological rigor, population norms and value sets. Results: We identified 143 studies providing 152 country-specific results with a total sample size of 81,619: Austria (n=11), Bulgaria (n=6), Czech Republic (n=18), Hungary (n=47), Poland (n=51), Romania (n=2), Slovakia (n=3) and Slovenia (n=14). Cardiovascular (20%), neurologic (16%), musculoskeletal (15%) and endocrine/nutritional/metabolic diseases (14%) were the most frequently studied clinical areas. Overall 112 (78%) of the studies reported EQ VAS results and 86 (60%) EQ-5D index scores, of which 27 (31%) did not specify the applied tariff. Hungary, Poland and Slovenia have population norms. Poland and Slovenia also have a national value set. Conclusions: Increasing use of EQ-5D is observed throughout CEE. The spread of health technology assessment activities in countries seems to be reflected in the number of EQ-5D studies. However, improvement in informed use and methodological quality of reporting is needed. In jurisdictions where no national value set is available, in order to ensure comparability we recommend to apply the most frequently used UK tariff. Regional collaboration between CEE countries should be strengthened

Are They Interchangeable?

Funding Information: On behalf of the EuroSpA Scientific Committee, the authors acknowledge Novartis Pharma AG and IQVIA for supporting the EuroSpA Research Collaboration Network. Publisher Copyright: © 2024 The Journal of Rheumatology.Objective. Ankylosing Spondylitis Disease Activity Score based on C-reactive protein (ASDAS-CRP) is recommended over ASDAS based on erythrocyte sedimentation rate (ASDAS-ESR) to assess disease activity in axial spondyloarthritis (axSpA). Although ASDAS-CRP and ASDAS-ESR are not interchangeable, the same disease activity cut-offs are used for both. We aimed to estimate optimal ASDAS-ESR values corresponding to the established ASDAS-CRP cut-offs (1.3, 2.1, and 3.5) and investigate the potential improvement of level of agreement between ASDAS-ESR and ASDAS-CRP disease activity states when applying these estimated cut-offs. Methods. We used data from patients with axSpA from 9 European registries initiating a tumor necrosis factor inhibitor. ASDAS-ESR cut-offs were estimated using the Youden index. The level of agreement between ASDAS-ESR and ASDAS-CRP disease activity states was compared against each other. Results. In 3664 patients, mean ASDAS-CRP was higher than ASDAS-ESR at both baseline (3.6 and 3.4, respectively) and aggregated follow-up at 6, 12, or 24 months (1.9 and 1.8, respectively). The estimated ASDAS-ESR values corresponding to the established ASDAS-CRP cut-offs were 1.4, 1.9, and 3.3. By applying these cut-offs, the proportion of discordance between disease activity states according to ASDAS-ESR and ASDAS-CRP decreased from 22.93% to 19.81% in baseline data but increased from 27.17% to 28.94% in follow-up data. Conclusion. We estimated the optimal ASDAS-ESR values corresponding to the established ASDAS-CRP cut-off values. However, applying the estimated cut-offs did not increase the level of agreement between ASDAS-ESR and ASDAS-CRP disease activity states to a relevant degree. Our findings did not provide evidence to reject the established cut-off values for ASDAS-ESR.publishersversionpublishe

Second and third TNF inhibitors in European patients with axial spondyloarthritis: Effectiveness and impact of the reason for switching

OBJECTIVE: To investigate real-world effectiveness of tumor necrosis factor inhibitors (TNFi) in patients with axial spondyloarthritis (axSpA) and the association with 1) treatment line (second and third TNFi-series) and 2) reason for withdrawal from the preceding TNFi (lack of efficacy (LOE) versus adverse events (AE)). METHODS: Prospectively collected routine care data from 12 European registries were pooled. Rates for 12-month drug retention and 6-month remission (Ankylosing Spondylitis Disease Activity Score C-reactive protein inactive disease (ASDAS-ID)) were assessed in second and third TNFi-series and stratified by withdrawal reason. RESULTS: We included 8254 s and 2939 third TNFi-series; 12-month drug retention rates were similar (71%). Six-month ASDAS-ID rates were higher for the second (23%) than third TNFi (16%). Twelve-month drug retention rates for patients withdrawing from the preceding TNFi due to AE versus LOE were similar for the second (68% and 67%) and third TNFi (both 68%), while for the second TNFi, rates were lower in primary than secondary non-responders (LOE < 26 versus ≥26 weeks) (58% versus 71%, p< 0.001). Six-month ASDAS-ID rates for the second TNFi were higher if the withdrawal reason was AE (27%) versus LOE (17%), p< 0.001, while similar for the third TNFi (19% versus 13%, p= 0.20). CONCLUSION: A similar proportion of axSpA patients remained on a second and third TNFi after one year, but with low remission rates for the third TNFi. Remission rates on the second TNFi (but not the third) were higher if the withdrawal reason from the preceding TNFi was AE versus LOE

Interchangeability of patient pain, fatigue and global scores in patients with spondyloarthritis - a registry-based simulation study

Funding Information: Open access funding provided by Copenhagen University. Open access funding provided by Copenhagen University. Open access funding provided by Copenhagen University. This work was supported by Novartis Pharma AG. Novartis had no influence on the data collection, statistical analyses, manuscript preparation or decision to submit the manuscript. Funding Information: The EuroSpA collaboration has been supported by Novartis Pharma AG since 2017 and UCB Biopharma SRL since 2022. This EuroSpA study was financially supported by UCB. No financial sponsors had any influence on the data collection, statistical analyses, manuscript preparation, or decision to submit. Publisher Copyright: © The Author(s) 2025.Background: To investigate a patient-level single imputation approach for patient reported outcomes (PROs) that express similar contents or associated PROs, where a PRO whose value is missing at a particular timepoint is substituted by another PRO whose value is available at the same timepoint. Methods: We performed a simulation study on registry-based spondyloarthritis data to explore the potential interchangeability between the patient pain (PPA) and fatigue (PFA) assessment scores and relevant Bath Ankylosing Spondylitis Disease Activity Index (BASDAI) individual questions, and between PPA, PFA and patient global assessment (PGA). Performance was assessed per imputation method in terms of relative bias and coverage. Sample size, level of missingness and missing data pattern were included as parameters in the simulations. Results: All applied scenarios to interchange PPA with BASDAI question 2 (axial pain), BASDAI question 3 (peripheral joint pain/swelling) or their average failed. Interchangeability between PFA and BASDAI question 1 (fatigue/tiredness) was acceptable for partially (up to 50%) missing data. When interchanging patient assessment scores (PPA, PFA and PGA), we observed inconsistent results in terms of performance. The performance of the applied methods depended on the sample size and the level of missingness, but not heavily on the underlying missing data pattern. Conclusions: Interchanging PFA and the BASDAI fatigue question was justified for partially missing data, while interchangeability between PPA, PFA and PGA, and between PPA and the BASDAI pain questions was not advised. Our findings suggest that registering patient assessment scores and BASDAI questions is recommended.publishersversionpublishe

Differences and similarities between the EULAR/ASAS-EULAR and national recommendations for treatment of patients with psoriatic arthritis and axial spondyloarthritis across Europe

This is the first report comparing EULAR and national treatment recommendations for PsA patients across Europe, and the first this decade to compare ASAS-EULAR and national treatment recommendations in axSpA patients. An electronic survey was completed from October 2021-April 2022 by rheumatologists in 15 European countries. One and four countries followed all EULAR and ASAS-EULAR recommendations, respectively. Five countries had no national treatment recommendations for PsA and/or axSpA, but followed other regulations. In several countries, national treatment recommendations predated the most recent EULAR/ASAS-EULAR recommendations. Entry criteria for starting biologic/targeted synthetic disease-modifying anti-rheumatic drugs varied considerably. In several countries, for PsA patients with significant skin involvement, interleukin-17 inhibitors were not given preference. The positioning of Janus Kinase inhibitors differed and Phosphodiesterase-4 inhibitors were not in use/reimbursed in most countries. This study may motivate European countries to update their national treatment recommendations, to align them better with the latest international recommendations

Recording of non-musculoskeletal manifestations, comorbidities and safety outcomes in European spondyloarthritis registries: a survey

OBJECTIVES Real-world evidence is needed to inform treatment strategies for patients with PsA and axial SpA (axSpA) who have non-musculoskeletal manifestations (NMMs), various risk factors and comorbidities. International collaboration is required to ensure statistical power and to enhance generalizability. The first step forward is identifying which data are currently being collected. Across 17 registries participating in the European Spondyloarthritis Research Collaboration (EuroSpA), we aimed to map recording practices for NMMs, comorbidities and safety outcomes in patients with PsA and axSpA. METHODS Through a survey with 4,420 questionnaire items, we explored the recording practices of 58 pre-defined conditions (i.e. NMMs, comorbidities and safety outcomes) covering 10 disease areas. In all registries we mapped for each condition whether it was recorded, the recording procedure and the potential to identify it through linkage to other national registries. RESULTS Conditions were generally recorded at entry into the registry and clinical follow-up visits using a pre-specified list or a coding system. Most registries recorded conditions within the following disease areas: NMMs (number of registries, n = 15-16), cardiovascular diseases (n = 10-14), gastrointestinal diseases (n = 12-13), infections (n = 10-13) and death (n = 14). Nordic countries had the potential for data linkage and generally had limited recording of conditions in their registry, while other countries had comprehensive recording practices. CONCLUSION A wide range of conditions were consistently recorded across the registries. The recording practices of many conditions and disease areas were comparable across the registries. Our findings support the potential for future collaborative research

Commonalities and differences in set-up and data collection across European spondyloarthritis registries : results from the EuroSpA collaboration

Funding Open access funding provided by Royal Library, Copenhagen University Library The EuroSpA Research Collaboration Network was financially supported by Novartis Pharma AG. Novartis had no influence on the data collection, statistical analyses, manuscript preparation or decision to submit the manuscript.Peer reviewedPublisher PD

Predictors of ASDAS-CRP inactive disease in axial spondyloarthritis during treatment with TNF-inhibitors : Data from the EuroSpA collaboration

Correction: Volume 58, Article Number 152141 DOI: 10.1016/j.semarthrit.2022.152141 Published: FEB 2023Objectives: In patients with axial spondyloarthritis (axSpA) initiating their first tumor necrosis factor alpha-inhibitor (TNFi), we aimed to identify common baseline predictors of Ankylosing Spondylitis Disease Activity Score (ASDAS-CRP) inactive disease (primary objective) and clinically important improvement (CII) at 6 months, and drug retention at 12-months across 15 European registries. Methods: Baseline demographic and clinical characteristics were collected. Outcomes were investigated per registry and in pooled data using logistic regression analyses on multiply imputed data. Results: The consistency of baseline predictors in individual registries justified pooling the data. In the pooled dataset (n = 21,196), the 6-month rates for ASDAS inactive disease and ASDAS CII were 26% and 51%, and the 12-month drug retention rate 65% in patients with available data (n = 9,845, n = 6,948 and n = 21,196, respectively). Nine common baseline predictors of ASDAS inactive disease, ASDAS CII and 12-month drug retention were identified, and the odds ratios (95%-confidence interval) for ASDAS inactive disease were: age, per year: 0.97 (0.97-0.98), men vs. women: 1.88 (1.60-2.22), current vs. non-smoking: 0.76 (0.63-0.91), HLA-B27 positive vs. negative: 1.51 (1.20-1.91), TNF start year 2015-2018 vs. 2009-2014: 1.24 (1.06-1.45), CRP > 10 vs.Peer reviewe