Jijun Liu
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View article: On the detection of medium inhomogeneity by contrast agent: wave scattering models and numerical implementations
On the detection of medium inhomogeneity by contrast agent: wave scattering models and numerical implementations Open
We consider the wave scattering and inverse scattering in an inhomogeneous medium embedded a homogeneous droplet with a small size, which is modeled by a constant mass density and a small bulk modulus. Based on the Lippmann-Schwinger integ…
View article: Lead Causes Lipid Droplet Accumulation by Impairing Lysosomal Function and Autophagic Flux in Testicular Sertoli Cells
Lead Causes Lipid Droplet Accumulation by Impairing Lysosomal Function and Autophagic Flux in Testicular Sertoli Cells Open
Lead (Pb) is one of the most common environmental pollutants that negatively impacts male reproductive health. Thus far, the underlying molecular mechanisms of Pb-induced reproductive toxicity are still not well understood. In this study, …
View article: Characterization of the Eigenvalues and Eigenfunctions of the Helmholtz Newtonian operator N^k
Characterization of the Eigenvalues and Eigenfunctions of the Helmholtz Newtonian operator N^k Open
The Newtonian potential operator for the Helmholtz equation, which is represented by the volume integral with fundamental solution as kernel function, is of great importance for direct and inverse scattering of acoustic waves. In this pape…
View article: Numerical solution of the boundary value problem of elliptic equation by Levi function scheme
Numerical solution of the boundary value problem of elliptic equation by Levi function scheme Open
For boundary value problem of an elliptic equation with variable coefficients describing the physical field distribution in inhomogeneous media, the parametrix can represent the solution in terms of volume and surface potentials, with the …
View article: Human-Computer Interaction Based on ASGCN Displacement Graph Neural Networks
Human-Computer Interaction Based on ASGCN Displacement Graph Neural Networks Open
Intelligent terminal devices have become a popular theme for research in recent years, but the development of intelligent terminals cannot be separated from high-quality human-computer interaction models. Behavioral action recognition is o…
View article: Numerical solution of the boundary value problem of elliptic equation by Levi function scheme
Numerical solution of the boundary value problem of elliptic equation by Levi function scheme Open
For boundary value problem of an elliptic equation with variable coefficients describing the physical field distribution in inhomogeneous media, the Levi function can represent the solution in terms of volume and surface potentials, with t…
View article: On the data assimilation of initial distribution for 2-dimensional shallow-water equation model
On the data assimilation of initial distribution for 2-dimensional shallow-water equation model Open
The utilization of data assimilation (DA) techniques is prevalent in marine meteorology for the purpose of estimating the complete state of the system. This is done to address the practical limitations associated with measurement data, whi…
View article: On the reconstruction of medium conductivity by integral equation method based on the Levi function
On the reconstruction of medium conductivity by integral equation method based on the Levi function Open
Consider an inverse problem of recovering the medium conductivity governed by an elliptic system, with partial information of the solution specified in some internal domain as inversion input. We firstly establish the uniqueness of this in…
View article: M<sup>3</sup>S-Net: multi-modality multi-branch multi-self-attention network with structure-promoting loss for low-dose PET/CT enhancement
M<sup>3</sup>S-Net: multi-modality multi-branch multi-self-attention network with structure-promoting loss for low-dose PET/CT enhancement Open
Objective. PET (Positron Emission Tomography) inherently involves radiotracer injections and long scanning time, which raises concerns about the risk of radiation exposure and patient comfort. Reductions in radiotracer dosage and acquisiti…
View article: Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm
Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm Open
We propose a double-parameter regularization scheme for dealing with the backward diffusion process. Considering the smoothing effect of Yosida approximation for PDE, we propose to regularize this ill-posed problem by modifying original go…
View article: Dietary Supplementation of Tannic Acid Promotes Performance of Beef Cattle via Alleviating Liver Lipid Peroxidation and Improving Glucose Metabolism and Rumen Fermentation
Dietary Supplementation of Tannic Acid Promotes Performance of Beef Cattle via Alleviating Liver Lipid Peroxidation and Improving Glucose Metabolism and Rumen Fermentation Open
This study aimed to investigate the effects of dietary tannic acid (TAN) on the gas production, growth performance, antioxidant capacity, rumen microflora, and fermentation function of beef cattle through in vitro and in vivo experiments. …
View article: Heating Drinking Water in Cold Season Improves Growth Performance via Enhancing Antioxidant Capacity and Rumen Fermentation Function of Beef Cattle
Heating Drinking Water in Cold Season Improves Growth Performance via Enhancing Antioxidant Capacity and Rumen Fermentation Function of Beef Cattle Open
The research aimed to investigate the suitable drinking water temperature in winter and its effect on the growth performance, antioxidant capacity, and rumen fermentation function of beef cattle. A total of 40 beef cattle (640 ± 19.2 kg) w…
View article: Solving an inverse source problem by deep neural network method with convergence and error analysis
Solving an inverse source problem by deep neural network method with convergence and error analysis Open
For the inverse source problem of an elliptic system using noisy internal measurement as inversion input, we approximate its solution by neural network function, which is obtained by optimizing an empirical loss function with appropriate r…
View article: Clinical Application of Multi-Index Combined Risk Assessment in Early Pregnancy for Screening of Preeclampsia
Clinical Application of Multi-Index Combined Risk Assessment in Early Pregnancy for Screening of Preeclampsia Open
Objective. To explore the predictive value of single-index screening or multi-index combined screening for preeclampsia. Methods. From January 1, 2019, to December 31, 2021, pregnant women with a singleton pregnancy who had been regularly …
View article: K-space and Image Domain Collaborative Energy based Model for Parallel MRI Reconstruction
K-space and Image Domain Collaborative Energy based Model for Parallel MRI Reconstruction Open
Decreasing magnetic resonance (MR) image acquisition times can potentially make MR examinations more accessible. Prior arts including the deep learning models have been devoted to solving the problem of long MRI imaging time. Recently, dee…
View article: On the well-posedness of the time-fractional diffusion equation with Robin boundary condition
On the well-posedness of the time-fractional diffusion equation with Robin boundary condition Open
The diffusion system with time-fractional order derivative is of great importance mathematically due to the nonlocal property of the fractional order derivative, which can be applied to model the physical phenomena with memory effects. We …
View article: Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target
Fast and robust reconstruction algorithm for fluorescence diffuse optical tomography assuming a cuboid target Open
A fast algorithm for fluorescence diffuse optical tomography is proposed. The algorithm is robust against the choice of initial guesses. We estimate the position of a fluorescent target by assuming a cuboid (rectangular parallelepiped) for…
View article: Recovering the distribution of fluorophore for FDOT using cuboid approximation.
Recovering the distribution of fluorophore for FDOT using cuboid approximation. Open
The time-domain fluorescence diffuse optical tomography (FDOT) is theoretically and numerically investigated based on analytic expressions for a three space dimensional diffusion model. The emission light is analytically calculated by an i…
View article: Recovering the boundary corrosion from electrical potential distribution using partial boundary data
Recovering the boundary corrosion from electrical potential distribution using partial boundary data Open
We study detecting a boundary corrosion damage in the inaccessible part of a rectangular shaped electrostatic conductor from a one set of Cauchy data specified on an accessible boundary part of conductor. For this nonlinear ill-posed probl…