A generalization of fixed point results in complex–valued quasi–partial b–metric space

The aim of this paper is to establish and prove several results on fixed point portrayed in complex valued metric spaces i.e. to bring in a new type of extended bmetric space, which we call complex–valued quasi–partial b–metric space by considering an adequate partial order in the complex field and partial b–metric functions. Within this paper, fixed point results are obtained in complex–valued quasi–partial b–metric space. To substantiate the authenticity of our results and to distinguish them from existing ones, some illustrative examples are also furnished with graphs.Publisher's Versio

Interpolative Reich-Rus-Ciric and Hardy-Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results

[EN] The aim of this paper was to obtain common fixed point results by using an interpolative contraction condition given by Karapinar in the setting of complete metric space. Here in this paper, we have redefined the Reich-Rus-Ciric type contraction and Hardy-Rogers type contraction in the framework of quasi-partial b-metric space and proved the corresponding common fixed point theorem by adopting the notion of interpolation. The results are further validated with the application based on them.Mishra, VN.; Sánchez Ruiz, LM.; Gautam, P.; Verma, S. (2020). Interpolative Reich-Rus-Ciric and Hardy-Rogers Contraction on Quasi-Partial b-Metric Space and Related Fixed Point Results. Mathematics. 8(9):1-11. https://doi.org/10.3390/math8091598S11189Banach, S. (1922). Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales. Fundamenta Mathematicae, 3, 133-181. doi:10.4064/fm-3-1-133-181Shukla, S. (2013). Partial b-Metric Spaces and Fixed Point Theorems. Mediterranean Journal of Mathematics, 11(2), 703-711. doi:10.1007/s00009-013-0327-4MATTHEWS, S. G. (1994). Partial Metric Topology. Annals of the New York Academy of Sciences, 728(1 General Topol), 183-197. doi:10.1111/j.1749-6632.1994.tb44144.xKARAPINAR, E. (2018). Revisiting the Kannan Type Contractions via Interpolation. Advances in the Theory of Nonlinear Analysis and its Application, 85-87. doi:10.31197/atnaa.431135Reich, S. (1971). Some Remarks Concerning Contraction Mappings. Canadian Mathematical Bulletin, 14(1), 121-124. doi:10.4153/cmb-1971-024-9Hardy, G. E., & Rogers, T. D. (1973). A Generalization of a Fixed Point Theorem of Reich. Canadian Mathematical Bulletin, 16(2), 201-206. doi:10.4153/cmb-1973-036-0Karapinar, E., Agarwal, R., & Aydi, H. (2018). Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces. Mathematics, 6(11), 256. doi:10.3390/math6110256Karapınar, E., Alqahtani, O., & Aydi, H. (2018). On Interpolative Hardy-Rogers Type Contractions. Symmetry, 11(1), 8. doi:10.3390/sym11010008Aydi, H., Karapinar, E., & Roldán López de Hierro, A. (2019). ω-Interpolative Ćirić-Reich-Rus-Type Contractions. Mathematics, 7(1), 57. doi:10.3390/math7010057Debnath, P., & de La Sen, M. de L. (2019). Set-Valued Interpolative Hardy–Rogers and Set-Valued Reich–Rus–Ćirić-Type Contractions in b-Metric Spaces. Mathematics, 7(9), 849. doi:10.3390/math7090849Alqahtani, B., Fulga, A., & Karapınar, E. (2018). Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability. Mathematics, 6(10), 208. doi:10.3390/math6100208Aydi, H., Chen, C.-M., & Karapınar, E. (2019). Interpolative Ćirić-Reich-Rus Type Contractions via the Branciari Distance. Mathematics, 7(1), 84. doi:10.3390/math7010084Aydi, H., & Karapinar, E. (2012). A Meir-Keeler common type fixed point theorem on partial metric spaces. Fixed Point Theory and Applications, 2012(1). doi:10.1186/1687-1812-2012-26Ćirić, L., Samet, B., Aydi, H., & Vetro, C. (2011). Common fixed points of generalized contractions on partial metric spaces and an application. Applied Mathematics and Computation, 218(6), 2398-2406. doi:10.1016/j.amc.2011.07.005Karapınar, E., Chi, K. P., & Thanh, T. D. (2012). A Generalization of Ćirić Quasicontractions. Abstract and Applied Analysis, 2012, 1-9. doi:10.1155/2012/518734Mlaiki, N., Abodayeh, K., Aydi, H., Abdeljawad, T., & Abuloha, M. (2018). Rectangular Metric-Like Type Spaces and Related Fixed Points. Journal of Mathematics, 2018, 1-7. doi:10.1155/2018/3581768Gupta, A., & Gautam, P. (2016). Topological Structure of Quasi-Partial b-Metric Spaces. International Journal of Pure Mathematical Sciences, 17, 8-18. doi:10.18052/www.scipress.com/ijpms.17.8Gupta, A., & Gautam, P. (2015). Quasi-partial b-metric spaces and some related fixed point theorems. Fixed Point Theory and Applications, 2015(1). doi:10.1186/s13663-015-0260-

Drug sensitivity testing on patient-derived sarcoma cells predicts patient response to treatment and identifies c-Sarc inhibitors as active drugs for translocation sarcomas

BACKGROUND: Heterogeneity and low incidence comprise the biggest challenge in sarcoma diagnosis and treatment. Chemotherapy, although efficient for some sarcoma subtypes, generally results in poor clinical responses and is mostly recommended for advanced disease. Specific genomic aberrations have been identified in some sarcoma subtypes but few of them can be targeted with approved drugs. METHODS: We cultured and characterised patient-derived sarcoma cells and evaluated their sensitivity to 525 anti-cancer agents including both approved and non-approved drugs. In total, 14 sarcomas and 5 healthy mesenchymal primary cell cultures were studied. The sarcoma biopsies and derived cells were characterised by gene panel sequencing, cancer driver gene expression and by detecting specific fusion oncoproteins in situ in sarcomas with translocations. RESULTS: Soft tissue sarcoma cultures were established from patient biopsies with a success rate of 58%. The genomic profile and drug sensitivity testing on these samples helped to identify targeted inhibitors active on sarcomas. The cSrc inhibitor Dasatinib was identified as an active drug in sarcomas carrying chromosomal translocations. The drug sensitivity of the patient sarcoma cells ex vivo correlated with the response to the former treatment of the patient. CONCLUSIONS: Our results show that patient-derived sarcoma cells cultured in vitro are relevant and practical models for genotypic and phenotypic screens aiming to identify efficient drugs to treat sarcoma patients with poor treatment options.Peer reviewe

MoNuSAC2020:A Multi-Organ Nuclei Segmentation and Classification Challenge

Detecting various types of cells in and around the tumor matrix holds a special significance in characterizing the tumor micro-environment for cancer prognostication and research. Automating the tasks of detecting, segmenting, and classifying nuclei can free up the pathologists' time for higher value tasks and reduce errors due to fatigue and subjectivity. To encourage the computer vision research community to develop and test algorithms for these tasks, we prepared a large and diverse dataset of nucleus boundary annotations and class labels. The dataset has over 46,000 nuclei from 37 hospitals, 71 patients, four organs, and four nucleus types. We also organized a challenge around this dataset as a satellite event at the International Symposium on Biomedical Imaging (ISBI) in April 2020. The challenge saw a wide participation from across the world, and the top methods were able to match inter-human concordance for the challenge metric. In this paper, we summarize the dataset and the key findings of the challenge, including the commonalities and differences between the methods developed by various participants. We have released the MoNuSAC2020 dataset to the public

SARS-CoV-2 B.1.617.2 Delta variant replication and immune evasion

Abstract: The B.1.617.2 (Delta) variant of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) was first identified in the state of Maharashtra in late 2020 and spread throughout India, outcompeting pre-existing lineages including B.1.617.1 (Kappa) and B.1.1.7 (Alpha)1. In vitro, B.1.617.2 is sixfold less sensitive to serum neutralizing antibodies from recovered individuals, and eightfold less sensitive to vaccine-elicited antibodies, compared with wild-type Wuhan-1 bearing D614G. Serum neutralizing titres against B.1.617.2 were lower in ChAdOx1 vaccinees than in BNT162b2 vaccinees. B.1.617.2 spike pseudotyped viruses exhibited compromised sensitivity to monoclonal antibodies to the receptor-binding domain and the amino-terminal domain. B.1.617.2 demonstrated higher replication efficiency than B.1.1.7 in both airway organoid and human airway epithelial systems, associated with B.1.617.2 spike being in a predominantly cleaved state compared with B.1.1.7 spike. The B.1.617.2 spike protein was able to mediate highly efficient syncytium formation that was less sensitive to inhibition by neutralizing antibody, compared with that of wild-type spike. We also observed that B.1.617.2 had higher replication and spike-mediated entry than B.1.617.1, potentially explaining the B.1.617.2 dominance. In an analysis of more than 130 SARS-CoV-2-infected health care workers across three centres in India during a period of mixed lineage circulation, we observed reduced ChAdOx1 vaccine effectiveness against B.1.617.2 relative to non-B.1.617.2, with the caveat of possible residual confounding. Compromised vaccine efficacy against the highly fit and immune-evasive B.1.617.2 Delta variant warrants continued infection control measures in the post-vaccination era

Effectiveness of Proseal laryngeal mask airway and laryngeal tube suction in elective non-laparoscopic surgeries of up to ninety minutes duration: A prospective, randomized study

Background and Aims: Proseal laryngeal mask airway (LMA) and laryngeal tube suction (LTS) are both supraglottic devices with an esophageal suction port. In the present prospective, randomized study, the effectiveness of airway seal, hemodynamic variables, ability to pass orogastric tube, and postoperative complications with the two devices were evaluated. Material and Methods: This was a prospective, randomized, single-blind study conducted in a hospital-based setting. Sixty patients (American Society of Anesthesiologists Grade I and II) undergoing elective general surgery were randomly allocated to Group A (Proseal LMA) or Group B (LTS), and airway seal pressure (primary outcome), peak pressure, hemodynamic parameters (blood pressure, pulse rate and pulse oximetry) during and 5 min after insertion, insertion time, ease of insertion, and postoperative complications (sore throat and hoarseness of voice for a period of 24 hours) (secondary outcomes) were noted. The quantitative data was summarized as mean and standard deviation, and analyzed using Student's t-test. All the qualitative data were summarized as proportions and analyzed using Chi-square test. The levels of significance and α-error were kept 95% and 5%, respectively, for all statistical analyses. P ≤ 0.05 was considered significant (S). Results: Proseal LMA had shorter insertion time (16.4 ± 5.6 vs. 20.0 ± 3.9 s), higher seal pressure (27.6 ± 4.6 vs. 24.1 ± 5.6 cm of H2O), lesser peak pressure (16.3 ± 2.3 vs. 18.5 ± 3.9 cm of H2O), higher success rate of orogastric tube passage (86.7 vs. 76.7%), and lesser postoperative sore throat (3.3 vs. 10%). Conclusions: Both Proseal LMA and LTS were acceptable alternatives for airway management in elective surgeries with controlled ventilation, but the quality of ventilation was found to be significantly better with Proseal LMA (in terms of higher seal pressure, lesser peak pressure, lesser insertion time, and lesser complications)

An insight into distance e-learning perspectives amongst undergraduate medical students during COVID-19 pandemic

Background The COVID-19 pandemic required the shutdown of academic institutions and, in India, the suspension of all in-person classes in March 2020. In-person teaching did not resume in Pt. Jawahar Lal Nehru Memorial Medical College, Raipur (Pt JNM Medical College), the institution where this study was conducted, until 21 June 2021. Hence, in order to provide continued delivery of academic teaching, distance e-learning programmes were instigated at the institution. Over the years distance e-learning has emerged to be an effective platform for learning in different educational and governmental studies. However, it can be challenging for students due to limited non-verbal communication, the mode of students’ and professors’ interactions, accessibility of material and time management. The aim of this study was to evaluate the perspectives of undergraduate medical students towards distance e-learning during Covid-19 pandemic

Fixed Point of Interpolative Rus-Reich-Ciric; Contraction Mapping on Rectangular Quasi-Partial b-Metric Space

[EN] The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition of the rectangular metric space defined by Branciari. Here, we obtain a fixed point theorem for interpolative Rus-Reich-Ciric contraction mappings in the realm of rectangular quasi-partial b-metric spaces. Furthermore, an example is also illustrated to present the applicability of our result.Gautam, P.; Sánchez Ruiz, LM.; Verma, S. (2021). Fixed Point of Interpolative Rus-Reich-Ciric; Contraction Mapping on Rectangular Quasi-Partial b-Metric Space. Symmetry (Basel). 13(1):1-8. https://doi.org/10.3390/sym13010032S1813