磁共振胰胆管成像与平衡全稳态快速场回波序列联合应用对胆系解剖结构显示的初步评价

对26例术前同时行磁共振胰胆管成像(MRCP)和平衡全稳态快速场回波(B-TFE)检查且经手术证实的胆系疾病患者的影像资料和手术结果进行对照分析。结果:26例中,MRCP和B-TFE对胆系解剖结构显示的正确率分别为96.2%和88.5%,而两者相结合的诊断正确率为100%。结果表明:MRCP和B-TFE序列相结合对胆系解剖结构的显示效果较使用单一技术更令人满意,可提供更全面和准确的胆系解剖影像信息,从而有助于预防腹腔镜胆囊切除术中胆道损伤的发生。

Two Second-Order Ecient Numerical Schemes for the Boussinesq Equations

In this paper,we construct two fully decoupled,second-order semi-discrete numerical schemes for the Boussinesq equations based on the scalar auxiliary variable(SAV)approach.By introducing a scalar auxiliary variable,the original Boussinesq system is transformed into an equivalent one.Then we discretize it using the second-order backward di erentiation formula(BDF2)and Crank-Nicolson(CN)to obtain two second-order time-advanced schemes.In both numerical schemes,a pressure-correction method is employed to decouple the velocity and pressure.These two schemes possess the desired property that they can be fully decoupled with satisfying unconditional stability.We rigorously prove both the unconditional stability and unique solvability of the discrete schemes.Furthermore,we provide detailed implementations of the decoupling procedures.Finally,various 2D numerical simulations are performed to verify the accuracy and energy stability of the proposed schemes.

磁共振B-FFE序列在胆系疾病中的应用

目的评价磁共振平衡全稳态快速场梯度回波(B-FFE)序列在胆系疾病诊断中的应用价值。资料与方法104例胆系疾病患者术前行MRI检查,包括冠状位B-FFE,轴位T1WI/FFE、T2WI/TSE、T2WI/SPIR、磁共振胰胆管成像(MRCP)及动态增强,所有图像与手术病理结果对照。结果B-FFE序列既可显示胆管病变,又可显示病变对周围结构的影响。B-FFE序列诊断胆系疾病准确率为90·4%,综合各种序列,MR总的诊断准确率为92·3%。结论B-FFE序列能满意显示胰胆管系统,与MRCP和传统MRI相结合,可提高胆系疾病的诊断准确性。

3D Balanced FFE序列在脑积水MRI检查中的应用

目的探讨三维平衡全稳态快速场梯度回波(3DB-FFE)序列在脑积水成像中的临床应用价值。资料与方法采用Philips Achieva 1.5T双梯度超导型磁共振设备对50例脑室系统积水的患者进行3DB-FFE序列脑室系统成像扫描。比较该方法与常规T1WI、T2WI显示中脑导水管和室间孔形态的效果。结果50例患者3DB-FFE序列图像均清晰显示脑室系统,对中脑导水管和室间孔的扩张、狭窄、梗阻的程度和形态与常规SE序列T1WI、T2WI显示效果相比较,3DB-FFE序列有明显优越性。结论3DB-FFE序列脑室成像扫描能清晰显示脑室积水情况,为临床确诊和治疗提供可靠的依据,可作为一种MR脑室积水成像的新方法。

Stability of second order Hopfield neural networks with time delays

Dynamical behaviors of a class of second order Hopfield neural networks with time delays is investigated.The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem and the counter proof method,and some sufficient conditions for the global asymptotic stability of the equilibrium point are obtained through the combination of a suitable Lyapunov function and an algebraic inequality technique.

Qualitative Analysis of a Diffusive Predator-prey Model with Nonlcoal Fear Effect

In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and Hopf bifurcation of the constant equilibrium state are analyzed by examining the characteristic equation.The global asymptotic stability of the positive equilibrium point is investigated using the Lyapunov function method.Finally,the correctness of the theoretical analysis results is verified through numerical simulations.

Global Stability and Bifurcation Analysis of a Cholera Transmission Model

This paper investigates the stability and bifurcation phenomena of a cholera transmission model in which individuals who have recovered from the disease may become susceptible again.The threshold for determining disease prevalence is established,and the parameter conditions for the existence of equilibria are discussed.The Routh-Hurwitz criterion is applied to demonstrate the local asymptotic stability of equilibria.By utilizing composite matrices and geometric techniques,the global dynamic behavior of the endemic equilibrium is investigated,and the sufficient conditions for its global asymptotic stability are derived.Furthermore,the disease-free equilibrium is a saddle-node when the basic reproductive number is 1,and tthe transcritical bifurcation in this case is discussed.

Exponential stability and existence of periodic solutions for a class of recurrent neural networks with delays

Both the global exponential stability and the existence of periodic solutions for a class of recurrent neural networks with continuously distributed delays （RNNs） are studied. By employing the inequality α∏k=1^m bk^qk≤1/r ∑qkbk^r＋1/rα^r（α≥0,bk≥0,qk〉0,with ∑k=1^m qk=r-1,r≥1, constructing suitable Lyapunov r k=l k=l functions and applying the homeomorphism theory, a family of simple and new sufficient conditions are given ensuring the global exponential stability and the existence of periodic solutions of RNNs. The results extend and improve the results of earlier publications.

Robust adaptive dynamic surface control for nonlinear uncertain systems

We propose a new method for robust adaptive backstepping control of nonlinear systems with parametric uncertainties and disturbances in the strict feedback form. The method is called dynamic surface control. Traditional backstepping algorithms require repeated differentiations of the modelled nonlinearities. The addition of n first order low pass filters allows the algorithm to be implemented without differentiating any model nonlinearities, thus ending the complexity arising due to the 'explosion of terms' that makes other methods difficult to implement in practice. The combined robust adaptive backstepping/first order filter system is proved to be semiglobally asymptotically stable for sufficiently fast filters by a singular perturbation approach. The simulation results demonstrate the feasibility and effectiveness of the controller designed by the method.

Periodic Solution and Global Stability of a Kind of Nonlinear Differential Equation

In this paper, it is discussed the model of a kind of nonlinear differential, equation d s d t=1-s-x 1s 0δQ 2(m 1s 0sk 1+s 0s-k) d x 1 d t=x 1Q(m 1s 0sk 1+s 0s-k)-x 1-x 2m 2x 1/Qk 2+x 1/Q d x 2 d t=x 2Q m 2x 1/Qk 2+x 1/Q-x 2.It is proved that the system is exist at least one stable periodic solution on under the following condition:m 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2】m 1δk 1(k 2+Q 2λ 2) 2.Furthermore, ifm 2x * 2(k 1δ+s 0δ-Qλ 2-x * 2) 2【m 1δk 1(k 2-Q 2λ 2) 2mold true them equilibrium point (s *,x * 1,x * 2)∈ set Ω is global asymptotic stable.

培育安全文化,筑牢安全防线

核安会全稳,定事、关经国济家发安展危及、大人国民地健位康。、始社终强调安全第一,确保安全是所有核行业从业人员义不容辞的责任。核电站的安全性,不仅要通过法规和硬件设施来实现,核安全文化的培育同样不可或缺。自1984年至今,中国核安全文化经历了30年发展历程,从最初的安全意识,到引入国际安全文化理念,到消化吸收再创新,全行业结合中国实际不断探索核安全文化建设方法.

Asymptotic Stability in the Large of Zero Solution of Second Order Nonlinear Differential Equation

There are many works on the asymptotic stability of second dimensional nonlinear differential equation. In particular, these results only concern with the system which includes one or two terms, whereas few works concern with system which includes more than two terms. In this paper, system which includes four nonlinear terms are studies. We obtain the global asymptotic stability of zero solution, and discard the condition which require the Liapunov function trends to infinity, and only require that the positive orbit is bounded.

Note on a diffusive ratio-dependent predator-prey model

Subject to the homogeneous Neumann boundary condition, a ratio-dependent predator-prey reaction diffusion model is discussed. An improved result for the model is derived, that is, the unique positive constant steady state is the global stability. This is done using the comparison principle and establishing iteration schemes involving positive solutions supremum and infimum. The result indicates that the two species will ultimately distribute homogeneously in space. In fact, the comparison argument and iteration technique to be used in this paper can be applied to some other models. This method deals with the not-existence of a non-constant positive steady state for some reaction diffusion systems, which is rather simple but sufficiently effective.

Research on Stability of Desert Climate of Minqin County in Gansu Province

In order to study the stability of desert climate, the instability of climate in Minqin desert in response to global warming during 1961-2013 was analyzed by sliding standard deviation and a linear trend line. The results show that the instabili- ty of average temperature in January and April increased, and the isothermal date in February was 10.36 d earlier from 1961 to 2013. The instability of extreme maxi- mum temperature in December and January improved. The instability of extreme minimum temperature in July instability also increased. The coefficient of variation of extreme minimum temperature in May was up to 287.3%. It is concluded that the instability of desert climate of Minqin County increased with global warming. The stability of climate is more worthy of attention.

The Algebraic Criteria for the All-delay Stabilityof Two-dim ensional Degenerate Differential System swith Delay

This paper give the algebraic criteria for all delay stability of two dimensional degenerate differential systems with delays and give two examples to illustrate the use of them.

Stability of long trench in soft soils by bentonite-water slurry

A series of centrifuge model tests exploring the effects of different types of slurry on long-trench stability in soft clay were conducted. The influence of groundwater conditions relative to trench stability was examined by constructing long trenches using different slurries. The soil deformation and surface settlement induced by the excavation of the trench are found to be closely related to slurry type and excavation depth of the long trench. Increasing the bentonite concentration of the slurry has beneficial effects on stability: 1) larger particles can improve local and global stability in cases where filter cakes do not form, and 2) larger viscosity can promote filter cake formation on the walls of long trenches excavated in soft clay and enhance their stability.

Analysis of a Prey-predator Fishery Model with Prey Reserve

In this paper,we consider a prey-predator fishery model with prey dispersal in a two-patch environment,one is assumed to be a free fishing zone and the other is a reserved zone where fishing and other extractive activities are prohibited.The existence of possible steady states of the system is discussed.The local and global stability analysis has been carried out.An optimal harvesting policy is given using Pontryagin s maximum principle.

Green large-scale production of N/O-dual doping hard carbon derived from bagasse as high-performance anodes for sodium-ion batteries

Sodium-ion batteries are considered as a promising candidate for lithium-ion batteries due to abundant sodium resources and similar intercalation chemistry.Hard carbon derived from biomass with the virtue of abundance and renewability is a cost-effective anode material.Herein,hard carbon is derived from renewable bagasse through a simple two-step method combining mechanical ball milling with carbonization.The hard carbon electrodes exhibit superior electrochemical performance with a high reversible capacity of 315 mA∙h/g.Furthermore,the initial capacity of the full cell,HC//NaMn0.4Ni0.4Ti0.1Mg0.1O2,is 253 mA∙h/g and its capacity retention rate is 77%after 80 cycles,which further verifies its practical application.The simple and low-cost preparation process,as well as excellent electrochemical properties,demonstrates that hard carbon derived from bagasse is a promising anode for sodium-ion batteries.

Stability of finite difference numerical simulations of acoustic logging-while-drilling with different perfectly matched layer schemes

In acoustic logging-while-drilling （ALWD） finite difference in time domain （FDTD） simulations, large drill collar occupies, most of the fluid-filled borehole and divides the borehole fluid into two thin fluid columns （radius -27 mm）. Fine grids and large computational models are required to model the thin fluid region between the tool and the formation. As a result, small time step and more iterations are needed, which increases the cumulative numerical error. Furthermore, due to high impedance contrast between the drill collar and fluid in the borehole （the difference is 〉30 times）, the stability and efficiency of the perfectly matched layer （PML） scheme is critical to simulate complicated wave modes accurately. In this paper, we compared four different PML implementations in a staggered grid finite difference in time domain （FDTD） in the ALWD simulation, including field-splitting PML （SPML）, multiaxial PML（M- PML）, non-splitting PML （NPML）, and complex frequency-shifted PML （CFS-PML）. The comparison indicated that NPML and CFS-PML can absorb the guided wave reflection from the computational boundaries more efficiently than SPML and M-PML. For large simulation time, SPML, M-PML, and NPML are numerically unstable. However, the stability of M-PML can be improved further to some extent. Based on the analysis, we proposed that the CFS-PML method is used in FDTD to eliminate the numerical instability and to improve the efficiency of absorption in the PML layers for LWD modeling. The optimal values of CFS-PML parameters in the LWD simulation were investigated based on thousands of 3D simulations. For typical LWD cases, the best maximum value of the quadratic damping profile was obtained using one do. The optimal parameter space for the maximum value of the linear frequency-shifted factor （a0） and the scaling factor （β0） depended on the thickness of the PML layer. For typical formations, if the PML thickness is 10 grid points, the global error can be reduced to 〈1% using the optimal PML parameters, and the error will decrease as the PML thickness increases.