In this paper, we establish some new oscillation criteria for the second-order nonlinear functional dynamic equation with forced termon a time scale T . No restriction is imposed on the forcing term e(t) to satisfy the Kartsatos condition. p(t) and r(t) are real-valued rd-continuous functions defined on T . There are many cases have been taken into consideration: (i) p(t) > 0 , τ(t) t( t) and τ(t) σ (t)( σ (t)) (ii) p(t) changes its sign, τ(t) t( t) , τ : T → T is a strictly increasing differentiable function and lim t→∞ τ(t) = ∞ . Our results not only generalize and extend some existing results but also can be applied to the oscillation problems that are not covered in literature. Finally, we give some examples to illustrate our main results. (2010): 34C10, 34K11, 39A10. Mathematics subject classification
Background Cardiac catheterization continues to be the gold standard in the management of CHD because of its diagnostic accuracy and therapeutic advantages. Among the recent advances in cardiac catheterization is the use of 3DRA which has been introduced in CHDs nearly 10 years ago after its long use in neuroradiology with good outcomes. Objective The aim of this work is to describe our initial experience with rotational angiography at Ain Shams University and compare between conventional and rotational angiography in terms of contrast, radiation and procedure time. Patients and Methods The study included 100 patients presenting to Ain Shams University Hospital pediatric cath lab in the period between February 2017 and July 2018. Fifty patients underwent rotational angiography (RA) and 50 underwent conventional angiography. The 2 groups were matched regarding age, sex, weight, diagnosis and the procedure performed. Results The median age in the study was 4 years with a median weight of 15.5 kg. The study included 44 patients with PDA, 42 (95%) underwent PDA closure. 30 patients had PS of which 28 underwent BPV (93%). 8 patients had CoA, 6 had CoA balloon +/- stenting (75%). 12 patients were postGlenn, 2 had TOF, 2 had AS and 2 had history of TOF repair with either RPA or LPA stenosis. Diagnostic quality imaging was obtained in 74% of cases. The RA cases were divided into earlier and later groups which were compared with each other and with the conventional angiography group. The procedure time decreased significantly in the later RA cases (38 minutes compared to 49 minutes in earlier cases) but was still significantly more than the conventional angiography group (33 minutes). Total contrast decreased in later cases (3.56 ml/kg) but was still more than conventional angiography cases (2.55 ml/kg). Less DAP was needed in later RA cases than earlier cases and conventional cases (10 Graycm2, 24 Graycm2 and 16 Graycm2 respectively). The more procedure time in RA group can be explained by the time lost in preparing the room for 3DRA and processing of the reconstructed image. The more contrast is related to the routine use of biplane in conventional group and the simplicity of procedures involved in our study requiring little contrast and fewer injections in conventional angiography. Conclusion RA can be safely performed in diagnostic and interventional cases for better visualization of extra cardiac structures with significant reduction of radiation exposure on the expense of some more time and contrast. RA requires time to master it in a way that makes it a valuable additional tool in the cath lab.
Introduction: Functional single ventricle represent a heterogeneous group of anomalies sharing a common feature which is a functional single cardiac chamber. (1) In different series of congenital heart disease patients, cases of UVH represent about 1–2% of total congenital heart diseases. (2) Two-dimensional speckle-tracking echocardiography has recently emerged as a novel technique for objective and quantitative evaluation of global and regional myocardial function. Objectives: To determine impact of ventricular morphology on myocardial deformation in patients with single ventricle. Patients and Methods: The study included 47 patients with functional single ventricle whether they underwent cavopulmonary anastomosis or not. All patients were referred for elective cardiac catheterization or follow up echocardiography in Ain Shams university hospitals, Cardiology department, from November 2017 to July 2018. All patients underwent full echocardiographic assessment including assessment of the dominant ventricular function by STE. Results: The study included 47 patients, 30 males (63.8%) and 17 females (36.2%). Their age ranged between 6-12 years, with mean age of 8.22 ± 1.94. The morphology of the dominant ventricle determined ventricular function by both 2D parameters and STE. Patients with a dominant LV had higher strain values. Patients who underwent a cavopulmonary shunt also had better ventricular functions. All patients included in the study showed impaired dominant ventricular function by STE even those who had normal EF by standard 2D TTE suggesting that subtle ventricular dysfunction in patients with single ventricle can be unmasked by STE.
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