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Öğe The average-dominating of a graph(2009) Dündar P.; Kiliç E.; Balci M.A.The vulnerability is one of the most important concepts in network design. Vulnerability can be considered as the resistance of the network after any breakdown in its nodes or links. Since any network can be modelled by a graph, vulnerability parameters on graphs also work on network types. The vertices and the edges of a graph correspond to the processors and the links of the network, respectively. The measure parameters about the vulnerability of a connected graph which are mostly used and known are based on the Neighbourhood concept. Neighbour-integrity, edge-integrity and accessibility number are some of these parameters. In this work we defined and examined the Average-Dominating of a connected graph as a new global connectivity measure. It takes account the neighbourhoods of all pairs of vertices. First we define the pair dominating of any two vertices such as u and v in a graph as to be the maximum number of vertices which dominate both u and v in G. It is denoted by D(u,v). Then latter we define the average dominating of G denoted by D¯(G) as, (Equation Presented) , where G is a graph of order n. ©2009 IEEE.Öğe Construction of solitary solutions and periodic solutions of coupled higher-dimensional Burgers equations using the homotopy perturbation method(2012) Balci M.A.; Yildirim A.; Mohyud-Din S.T.; Heidari A.In this article, we will apply the homotopy perturbation method (HPM) to obtain solitary and periodic solutions for a coupled higher-dimensional Burgers equations. The numerical results show that homotopy perturbation method can be readily implemented to this type of nonlinear equations and excellent accuracy. © IDOSI Publications, 2012.Öğe Low relapse rate in patients with giant cell arteritis in a multi-centre retrospective Turkish Registry(Clinical and Experimental Rheumatology S.A.S., 2024) Alibaz-Öner F.; Kelesoglu B.; Balci M.A.; Yardimci G.K.; Armağan B.; Kiliç L.; Karakaş Ö.Objective Glucocorticoids (GC) are widely accepted as the standard first-line treatment for giant cell arteritis (GCA). However, relapse rates are reported up to 80% on GC-only protocol arms in controlled trials of tocilizumab and abatacept in 12-24 months. Herein, we aimed to assess the real-life relapse rates retrospectively in patients with GCA from Turkey. Methods We assembled a retrospective cohort of patients with GCA diagnosed according to ACR 1990 criteria from tertiary rheumatology centres in Turkey. All clinical data were abstracted from medical records. Relapse was defined as any new manifestation or increased acute-phase response leading to the change of the GC dose or use of a new therapeutic agent by the treating physician. Results The study included 330 (F/M: 196/134) patients with GCA. The mean age at disease onset was 68.9±9 years. The most frequent symptom was headache. Polymyalgia rheumatica was also present in 81 (24.5%) patients. Elevation of acute phase reactants (ESR>50 mm/h or CRP>5 mg/l) was absent in 25 (7.6%) patients at diagnosis. Temporal artery biopsy was available in 241 (73%) patients, and 180 of them had positive histopathological findings for GCA. For remission induction, GC pulses (250-1000 methylprednisolone mg/3-7 days) were given to 69 (20.9%) patients, with further 0.5-1 mg/kg/day prednisolone continued in the whole group. Immunosuppressives as GC-sparing agents were used in 252 (76.4%) patients. During a follow-up of a median 26.5 (6-190) months, relapses occurred in 49 (18.8%) patients. No confounding factor was observed in relapse rates. GC treatment could be stopped in only 62 (23.8%) patients. Additionally, GC-related side effects developed in 64 (24.6%) patients, and 141 (66.2%) had at least one Vasculitis Damage Index (VDI) damage item present during follow-up. Conclusion In this first multi-centre series of GCA from Turkey, we observed that only one-fifth of patients had relapses during a mean follow-up of 26 months, with 76.4% given a GC-sparing IS agent at diagnosis. At the end of follow-up, GC-related side effects developed in one-fourth of patients. Our results suggest that patients with GCA had a low relapse rate in real-life experience of a multi-centre retrospective Turkish registry, however with a significant presence of GC-associated side effects during follow-up. © 2024 Clinical and Experimental Rheumatology S.A.S.. All rights reserved.Öğe Solitude number at graphs(2011) Guler H.; Dundar P.; Balci M.A.The vulnerability is one of the most important notion in network design. Vulnerability can be considered as the resistance of the network after any breakdown in its nodes or links. Since any network can be modeled by a graph, vulnerability parameters on graphs also work on network types. In this work we defined and examined the solitude number of a connected graph as a new global vulnerability parameter. Described parameter was examined at basic graph classes and under graph operations, also an algorithm which calculates the solitude number of general graph, was given. © 2011 Academic Publications.
