Neuronal Signal Transduction Aided by Noise at Threshold and at Saturation

A classical model of neuronal signal transmission describing the presence of both a threshold and a saturation in the neuron response is considered. This model is used to analyze the transduction by the neuron of various types of information-carrying input signals in the presence of noise. Improvement by noise of the performance via stochastic resonance is established for transmission in both the threshold and the saturation regimes. Stochastic resonance at saturation is a novel form, expressing that the distortion experienced by large input signals transmitted at saturation, can be reduced by addition of noise.     

Monotonic solutions of Urysohn integralequation on unbounded interval

In this paper, we investigate a nonlinear Urysohn integral equation on unboundedinterval. We show that under some assumptions that the equation has monotonic solutions belonging to the space of functions being Lebesgue integrable on unbounded interval. The main tool used in our study is the technique associated with measures of weak noncompactness and measures of noncompactness in strong sense.     

Algebraic Riccati equation and J-spectral factorization for estimation

In this paper we investigate on the existence of the stabilizing solution of the algebraic Riccati equation (ARE) related to the filtering problem with a prescribed attenuation level γ. It is well known that such a solution exists and is positive definite for γ larger than a certain γ_F and it does not exist for γ smaller than a certain γ₀. We consider the intermediate case γ(γ₀,γ_F] and show that in this interval the stabilizing solution does exist, except for a finite number of values of γ. We show how the solution of the ARE may be employed to obtain a minimum-phase J-spectral factor of the J-spectrum associated with the filtering problem.     

Perturbation Analysis of Multiclass Stochastic Fluid Models

We use a stochastic fluid model (SFM) to capture the operation of finite-capacity queueing systems with multiple customer classes. We derive gradient estimators for class-dependent loss and workload related performance metrics with respect to any one of several threshold parameters used for buffer control. These estimators are shown to be unbiased and directly observable from a sample path without any knowledge of underlying stochastic characteristics of the traffic processes. This renders them computable in on-line environments and easily implementable in settings such as communication networks.     

Modeling of Transport Through Submicron Semiconductor Structures: A Direct Solution to the Coupled Poisson-Boltzmann Equations

We report on a computational approach based on the self-consistent solution of the steady-state Boltzmann transport equation coupled with the Poisson equation for the study of inhomogeneous transport in deep submicron semiconductor structures. The nonlinear, coupled Poisson-Boltzmann system is solved numerically using finite difference and relaxation methods. We demonstrate our method by calculating the high-temperature transport characteristics of an inhomogeneously doped submicron GaAs structure where the large and inhomogeneous built-in fields produce an interesting fine structure in the high-energy tail of the electron velocity distribution, which in general is very far from a drifted-Maxwellian picture.     

Quantum Lattice-Gas Automata Simulation of Electronic Wave Propagation in Nanostructures

We report the two- and three-dimensional quantum lattice-gas automata simulation for one-particle electronic wave propagation in nanostructures. The transmission coefficient of the electronic wave through the two-dimensional quantum point contact is investigated taking account of the surface roughness of the confinement wall. It is demonstrated that the electron transmission is significantly affected by the surface roughness pattern even if the same roughness parameter is assumed. We also perform the three-dimensional simulation, and the wave propagation in the structure like an ultrathin-body MOSFET is visualized.     

户内110kV变压器的选择

本就SF6气体绝缘变压器(GIT)和环氧浇注干式变压器(HJB)的技术性能、经济指标及其发展前景等相关问题作了剖析和比较，指出HJB应当是户内110kV变压器的首选，而且应当加速推广使用。     

Burgers''''方程的特征混合有限元数值模拟

本文对Burgers'方程采用特征混合有限元方法进行数值模拟,证明了特征混合元格式的稳定性。作为数值例子,我们计算了正弦波传播和冲击波传播,通过与混合元和有限元方法的比较,说明了该方法在粘性系数逐渐减小时对锋线前沿处理的有效性。     

小周期结构Helmholtz方程的多尺度计算

本文研究小周期结构Helmholtz方程的多尺度计算。我们用各向异性多尺度方法(HMM)求解小周期结构Helmholtz问题。借助于渐近分析技术,在对HMM方法深入分析的基础上,我们给出了精确与HMM方法近似解之间的误差估计,并讨论和分析了利用微结构信息校正HMM逼近解的技巧。最后,我们用数值例了验证了理论结果的正确性。     

酒精代谢的数学分析

本文从生物学角度出发,根据微分方程理论.结合给定的数据,经过合理的假设,建立了血液中酒精的浓度随时间变化的基础模型。并针对不同的饮酒方式和饮酒量,分别建立了相应的模型。用拟合的方法确定参数,准确地模拟出酒精浓度变化趋势的曲线,拟合结果与原始数据吻合程度较高。同时,对一些实际问题也给出了合理的解释。