Stability of the time-dependent identification problem for delay hyperbolic equations

Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors. Moreover, the delay appears in complicated systems with logical and computing devices, where certain time for information processing is needed. In the present paper, the time-dependent identification problem for delay hyperbolic equation is investigated. The theorems on the stability estimates for the solution of the time-dependent identification problem for the one dimensional delay hyperbolic differential equation are established. The proofs of these theorems are based on the Dalambert’s formula for the hyperbolic differential equation and integral inequality

Stability of the time-dependent identification problem for delay hyperbolic equations

Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors. Moreover, the delay appears in complicated systems with logical and computing devices, where certain time for information processing is needed. In the present paper, the time-dependent identification problem for delay hyperbolic equation is investigated. The theorems on the stability estimates for the solution of the time-dependent identification problem for the one dimensional delay hyperbolic differential equation are established. The proofs of these theorems are based on the Dalambert’s formula for the hyperbolic differential equation and integral inequality

On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups

In this paper, the notions of cubic fuzzy groups and cubic fuzzy normal subgroups are introduced. The internal, external of cubic sets, (P-,R-) order, (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are investigated and some related properties were obtained. It is proved that a cubic fuzzy group which is both (internal, external) cubic set. Also we provide condition on cubic fuzzy group to be an internal cubic set. We show that (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are also cubic fuzzy groups. Also the (P-,R-) intersection, (P-,R-) union of cubic fuzzy normal subgroups are proved to be cubic fuzzy normal subgroup

Long-term in vitro maintenance of clonal abundance and leukaemia-initiating potential in acute lymphoblastic leukaemia

Lack of suitable in vitro culture conditions for primary acute lymphoblastic leukaemia (ALL) cells severely impairs their experimental accessibility and the testing of new drugs on cell material reflecting clonal heterogeneity in patients. We show that Nestin-positive human mesenchymal stem cells (MSCs) support expansion of a range of biologically and clinically distinct patient-derived ALL samples. Adherent ALL cells showed an increased accumulation in the S phase of the cell cycle and diminished apoptosis when compared with cells in the suspension fraction. Moreover, surface expression of adhesion molecules CD34, CDH2 and CD10 increased several fold. Approximately 20% of the ALL cells were in G0 phase of the cell cycle, suggesting that MSCs may support quiescent ALL cells. Cellular barcoding demonstrated long-term preservation of clonal abundance. Expansion of ALL cells for >3 months compromised neither feeder dependence nor cancer initiating ability as judged by their engraftment potential in immunocompromised mice. Finally, we demonstrate the suitability of this co-culture approach for the investigation of drug combinations with luciferase-expressing primograft ALL cells. Taken together, we have developed a preclinical platform with patient-derived material that will facilitate the development of clinically effective combination therapies for ALL

Long-term treatment outcomes of spinal intradural tumors: A 10-year cohort study in Zenica-Doboj Canton

Introduction: Despite the presence of various constraints, Bosnia and Herzegovina has managed to establish healthcare services in the field of spinal surgery. Limiting factors associated with resource scarcity and a shortage of neurosurgeons may pose challenges, but they are not insurmountable in the context of spinal tumor surgery. This study aims to provide a comprehensive 10-year analysis of intradural spinal tumors in resource-constrained healthcare settings and assess surgical outcomes in these challenging environments. Methods: A retrospective study was conducted involving 39 patients with intradural spinal tumors in Zenica-Doboj Canton, Bosnia and Herzegovina, from 2011 to 2021. Patients underwent neurological examinations and spinal magnetic resonance imaging scans, followed by post-surgery assessments at 3 and 6 months using the McCormick scale. Results: Among the 39 patients, tumor distribution was as follows: meningioma (15, 38.5%), ependymoma (3, 7.7%), schwannoma (11, 28.2%), neurenteric cyst (1, 2.6%), primary melanoma (2, 5.1%), lipoma (1, 2.6%), and metastasis (6, 15.4%) (p < 0.001). A majority of patients reported localized and radicular pain (37, 94.9%, p < 0.001) and paresthesia (33, 84.6%, p < 0.001). Motor weakness was noted in 20 (51.3%) patients, while sphincteric dysfunction was reported by 17 (43.6%) patients. The average symptom duration was 397.9 ± 380.9 days, ranging from 14 to 1460 days (p < 0.001). Pneumonia and liquorrhea were reported by 1 (2.6%) patient each. Regarding mortality, 1 (2.6%) patient passed away within a 6-month follow-up period (p < 0.001), and 2 (5.1%) patients were diagnosed with primary malignant melanoma. Significant improvements in McCormick scores were observed between postoperative and 3-month assessments (p < 0.001) and between 3-month and 6-month assessments (p = 0.024). Conclusions: This study offers valuable insights into the management of intradural spinal tumors in resource-constrained healthcare settings. Timely diagnosis and surgical intervention are essential for achieving positive patient outcomes in these challenging environments

Gender-related epidemiological characteristics of cauda equina syndrome caused by disc herniation: a 10-year study in Zenica-Doboj Canton, Bosnia and Herzegovina

Introduction: Aim of this study is to analyze gender-related epidemiological characteristics of cauda equina syndrome (CES) in Zenica-Doboj Canton in 10 years period. Methods: The study was conducted in the Zenica-Doboj Canton, and data were obtained from the time period between 2012 to 2022. The study included a total sample of 1709 patients diagnosed with disc herniation who underwent surgical decompression. In total, 48 patients developed cauda equine syndrome (CES). Results: The analysis unveiled noteworthy gender disparities, with male predominance (79.2% vs. 20.8%, p<0.001) and varying employment distributions (males: 23.7% unemployed, 63.2% employed, 13.1% retired; females: 40.0% unemployed, 20.0% employed, 40.0% retired, p<0.001). The calculated OR for 2012-2022 was 2.969 (95% CI: 1.576-5.593, p=xxx), signifying a substantial gender-incidence relationship for CES. CES-I incidence ranged 0.80-1.60/100,000 and CES-R ranged 0.25-0.83/100,000. Highest CES incidence was 4.17/100,000 (2015); the lowest was in 2019 with no CES-R cases reported. Male incidence peaked at 2.64/100,000 (2018), and the lowest was 1.06/100,000 (2013, 2017). For females, the highest was 1.17/100,000 (2018, 2021), with no cases reported in certain years. The affected level demonstrated gender differences, with L4/L5 prevalence in males (47.4%) and L3/L4 in females (50%, p=0.165). Conclusion: This study revealed a higher incidence of CES in males compared to females in the Zenica-Doboj Canton. The heterogenicity of data regarding CES occurring due to the lumbar disc herniation is significant. This indicates a clear need for additional research and epidemiological studies that would highlight the population of patients that have higher risk of CES onset

Clinical and radiologic features in patients with the WHO grade I and II meningiomas

Introduction: Meningiomas are the most common benign tumor of the central nervous system, accounting for 53.3% and 37.6% of all central nervous system tumors (1). The World Health Organization (WHO) Grade I meningiomas account for 80.5% of all meningiomas and are considered benign meningiomas; the WHO Grade II meningiomas account for 17.7% of all meningiomas and exhibit more aggressive behavior. Methods: In the period 2015-2022, a retrospective single-center study at the clinic of neurosurgery at the Clinical Center University of Sarajevo was conducted, which included patients with a pathohistological finding of WHO Grade I or II meningioma. Depending on the pathohistological grade of the tumor, patients were divided into two groups: Grade I and Grade II patients. Patients were examined clinically and radiologically. Clinical data collected included in the study: Gender, age, number of symptoms before surgery, whether patients were symptomatic or asymptomatic, pre-operative Eastern Cooperative Oncology Group,and Karnopsky performance scale. Pre-operative contrast magnetic resonance imaging of the head measured tumor volume, temporal muscle thickness (TMT), sagittal midline shift, and surrounding cerebral edema. Results: A total of 80 patients were enrolled in the study, 68 with WHO Grade I and 12 with WHO Grade II meningiomas. We found that patients with Grade I meningioma were younger and that the mean thickness of the temporal muscle was statistically thicker than in patients with Grade II. Increasing TMT was significantly and positively associated with Grade I tumors and negatively associated with Grade II tumors (p = 0.032). Conclusion: This study demonstrates that TMT can serve as a radiologic pre-operative indicator of meningioma grade and provide valuable guidance to neurosurgeons in surgical planning. Further studies are needed to validate these results

Didaktik som praktik : En didaktisk vägledning inom ämnet religionskunskap

Detta är en uppsats baserad på en lärarintervju gällande elevers syn på undervisning inom ämnet religionskunskap 1 på gymnasiet, samt den didaktiska tillämpningen ur lärarsynpunkt. Skolverkets riktlinjer tar plats i undersökningen och även en forskningsrapport som publicerat av Skolverket. Tyngden ligger på de didaktiska frågorna, vad, varför, hur och för vem? Dess uppkomst, teoretiska förankring och praktisk tillämpning behandlas. Lärarnas svar på intervjufrågor är i fokus och bearbetas och besvaras utifrån given teori och utformar slutligen förslag på justeringar som kan göras i inlärningssyfte med fokus på elevernas önskemål, lärarens förmågor och Skolverkets ramar. Det som diskuteras är en möjlig oförståelse för kursens syfte bland elever, och en möjlig svårighet att förmedla detta syfte för läraren och Skolverket på grund av kursens abstrakta karaktär. Betoningen ligger på didaktiken som användningsområde