THE FACTORIZATION METHOD FOR SIMULATING SYSTEMS WITH A COMPLEX ACTION

Succinate containing compounds possess many types of biological activity and are used for the development of drugs with the target and complex action. This paper is devoted to some aspects of the mechanism of succinamides’ action in a dose of 100 mg/kg. We studied the influence of the compound with antidiabetic properties, -phenylethylamide of 2-oxysuccinanyl acid ( -PhEA-OSAA), and its metabolites such as 2-hydroxyphenylsuccinamide (2-HPhSA) and β-phenylethylsuccinamide ( -PhESA) on the marker indicators of energetic metabolism (EM), antioxidant system (AOS) and nitric oxide (NO) metabolism in subacute experiment on rats. Studies have shown that the action of -FEA-OSAKA on metabolic homeostasis is realized through stimulation of EM, reduction of intensity of NO-synthase metabolism and weakening of the AOS. The nature of the action of -FES and 2-GFS, taking into account the indicators of the state of homeostasis, largely coincides with β-FEA-OSAKA. It was found that the key links in the mechanism of toxic action of succinamides are the effect on antioxidant potential, NO metabolism and energy processes.

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Imaging of bi-anisotropic periodic structures from electromagnetic near-field data

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip-2020-0114 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Dinh-Liem Nguyen ◽

Trung Truong

Keyword(s):

Inverse Scattering ◽

Maxwell Equations ◽

Field Data ◽

Periodic Structures ◽

Near Field ◽

Scattering Problem ◽

Three Dimensional ◽

Inverse Scattering Problem ◽

Factorization Method ◽

Unique Determination

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

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The inverse elastic scattering by an impenetrable obstacle and a crack

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxaa034 ◽

2020 ◽

Author(s):

Jianli Xiang ◽

Guozheng Yan

Keyword(s):

Mixed Type ◽

Scattering Problem ◽

Inverse Scattering Problem ◽

Field Operator ◽

Integral Equation Method ◽

Factorization Method ◽

Boundary Integral ◽

Far Field ◽

Direct Scattering ◽

Time Harmonic

Abstract This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by a mixed-type scatterer, which is given as the union of an impenetrable obstacle and a crack. We develop the modified factorization method to determine the shape of the mixed-type scatterer from the far field data. However, the factorization of the far field operator $F$ is related to the boundary integral matrix operator $A$, which is obtained in the study of the direct scattering problem. So, in the first part, we show the well posedness of the direct scattering problem by the boundary integral equation method. Some numerical examples are presented at the end of the paper to demonstrate the feasibility and effectiveness of the inverse algorithm.

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