Value of Multi-slice Spiral CT in the Diagnosis and Resectability of Pancreatic Cancer

Objective:To analyze the value of multislice spiral CT in the diagnosis and resectability of pancreatic cancer.Method:56 patients with pancreatic cancer treated in our hospital from January 2018 to October 2019 were selected as the research subjects.All patients underwent multi-phase scanning by multislice spiral CT.According to the results of the images,observe whether the pancreatic cancer has affected the blood vessels surrounding the pancreas,evaluate the resectability based on the results of the examination,and analyze the final results of the operation which was taken as the standard.Results:all the 56 cases presented slightly low density or equal density,and 28 cases had complete outline.Multi-slice spiral assessment of patients’vascular invasion types found that 192 branches can be resected with 70 branches cannot;Multi-slice spiral assessment of the main arterial and venous invasion grades around the pancreas of the patients found that 212 branches can be resected with 50 branches cannot;Multi-slice spiral CT was used to evaluate the resectability of pancreatic cancer compared with surgical results.The accuracy of resectable types of vascular invasion was 72.52%;the accuracy of resectable vascular invasion grades was 79.39%.Conclusion:the application of multi-slice spiral CT in the diagnosis of pancreatic cancer can provide a clear understanding of the condition of vascular invasion and distant metastasis,and the accuracy of assessing resection can reach more than 70.00%,which provides a reference for clinical application.

Diagnostic Value of Spiral CT Chest Enhanced Scan in Adult with Active Pulmonary Tuberculosis

Aim:To explore the diagnostic value of spiral CT chest enhanced scan for adults with active pulmonary tuberculosis.Methods:The clinical data of 60 adult patients with active pulmonary tuberculosis who were treated in our hospital from January 2018 to November 2019 were retrospectively analyzed.All patients underwent conventional chest radiography and spiral CT chest enhanced scan.The number of tuberculosis diagnosis,the detection rate of special site lesions,and the detection rate of active pulmonary tuberculosis signs by the two methods were compared.Results:In 60 patients,the pathological results confirmed the existence of 75 tuberculosis lesions.The detection rate of spiral CT was 98.67%,which was not statistically significant compared with the detection rate of 92.00%(P>0.05)in the conventional chest X-ray.The detection rate of spiral CT enhanced scans for tuberculosis lesions in special sites was 100.00%,which was significantly higher than that of conventional chest X-ray of 7.69%,and the accuracy rate of active pulmonary tuberculosis signs was 98.85%higher than that of conventional chest X-ray of 79.31%.P<0.05).The difference was statistically significant(P<0.05).Conclusion:Spiral CT chest enhanced scan can not only find special tuberculosis lesions that cannot be detected by conventional chest radiography,but also accurately determine active pulmonary tuberculosis in adults,which is of high diagnostic value.

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

The weak Galerkin(WG)method is a nonconforming numerical method for solving partial differential equations.In this paper,we introduce the WG method for elliptic equations with Newton boundary condition in bounded domains.The Newton boundary condition is a nonlinear boundary condition arising from science and engineering applications.We prove the well-posedness of the WG scheme by the monotone operator theory and the embedding inequality of weak finite element functions.The error estimates are derived.Numerical experiments are presented to verify the theoretical analysis.

Hybridized weak Galerkin finite element method for linear elasticity problem in mixed form

A hybridization technique is applied to the weak Galerkin finite element method （WGFEM） for solving the linear elasticity problem in mixed form. An auxiliary function, the Lagrange multiplier defined on the boundary of elements, is introduced in this method. Consequently, the computational costs are much lower than the standard WGFEM. Optimal order error estimates are presented for the approximation scheme. Numerical results are provided to verify the theoretical results.

A WEAK GALERKIN FINITE ELEMENT METHOD FOR THE LINEAR ELASTICITY PROBLEM IN MIXED FORM

In this paper, we use the weak Galerkin （WG） finite element method to solve the mixed form linear elasticity problem. In the mixed form, we get the discrete of proximation of the stress tensor and the displacement field. For the WG methods, we define the weak function and the weak differential operator in an optimal polynomial approximation spaces. The optimal error estimates are given and numerical results are presented to demonstrate the efficiency and the accuracy of the weak Galerkin finite element method.

AStabilizer-FreeWeak Galerkin Finite Element Method for the Stokes Equations

A stabilizer-free weak Galerkin finite element method is proposed for the Stokes equations in this paper.Here we omit the stabilizer term in the new method by increasing the degree of polynomial approximating spaces for the weak gradient operators.The new algorithm is simple in formulation and the computational complexity is also reduced.The corresponding approximating spaces consist of piecewise polynomials of degree k≥1 for the velocity and k-1 for the pressure,respectively.Optimal order error estimates have been derived for the velocity in both H^(1) and L^(2) norms and for the pressure in L^(2) norm.Numerical examples are presented to illustrate the accuracy and convergency of the method.