Optimal vaccine scheduling in cancer immunotherapy

Cancer immunotherapy aims at stimulating the immune system to react against cancer stealth capabilities. It consists of repeatedly injecting small doses of a tumor-associated molecule one wants the immune system to recognize, until a consistent immune response directed against the tumor cells is observed.

We have applied the theory of optimal control to the problem of finding the optimal schedule of injections of an immunotherapeutic agent against cancer. The method employed works for a general ODE system and can be applied to find the optimal protocol in a variety of clinical problems where the kinetics of the drug or treatment and its influence on the normal physiologic functions have been described by a mathematical model.

We show that the choice of the cost function has dramatic effects on the kind of solution the optimization algorithm is able to find. This provides evidence that a careful ODE model and optimization schema must be designed by mathematicians and clinicians using their proper different perspectives.     

Quantum Brownian motion and the second law of thermodynamics

We consider a single harmonic oscillator coupled to a bath at zero temperature. As is well-known, the oscillator then has a higher average energy than that given by its ground state. Here we show analytically that for a damping model with arbitrarily discrete distribution of bath modes and damping models with continuous distributions of bath modes with cut-off frequencies, this excess energy is less than the work needed to couple the system to the bath, therefore, the quantum second law is not violated. On the other hand, the second law may be violated for bath modes without cut-off frequencies, which are, however, physically unrealistic models. An erratum to this article is available at .     

圆感应同步器数显表检测方法研究

介绍了圆感应同步器数显表测角系统的工作原理,以及在静态和动态测角方法。提出了两种提高动态测量精度的方法。实验数据验证了方法的合理性。     

基于遗传算法的混沌系统二自由度比例-积分-微分控制研究

二自由度比例-积分-微分(PID)控制算法简单、实用，但将其应用于复杂非线性系统控制时参数整定困难.运用改进的遗传算法进行二自由度PID控制器参数优化，参数优化的收敛速度快、准确，将其应用于Chen氏混沌系统和同步电动机混沌系统的控制中，仿真研究收到良好的控制效果. 关键词： 混沌系统 遗传算法 比例-积分-微分控制     

图像处理技术在低逸出功印刷型FED中的应用

采用低成本、大面积、低逸出功FED阴极材料及其阴极浆料,研制了大面积印刷式FED(样机),具有自主知识产权,在国内外属首创。介绍了低逸出功可印刷型场致发射显示系统的工作原理、数字视频图像的转换和处理、视频数据的传输、列灰度驱动和行驱动集成电路以及FPGA控制技术等。为了改善场致发射显示器的显示效果,通过理论分析和实际验证提出了亮度非均匀性校正、γ校正、自动功率控制等相应的解决方案。将图像处理技术应用到驱动电路中,改善了图像的亮度均匀性和灰度再现质量,降低了整机的功耗。首次将本技术应用于大屏幕低逸出功印刷型63.5cm(25英寸)VGA级彩色FED驱动系统中,研制出了能显示彩色视频图像的彩色FED显示器样机。亮度达400cd/m2、对比度为1000∶1,电路灰度等级为256级。     

A Bilinear Backlund Transformation and Lax Pair for a （1＋1）-Dimensional Differential-Difference sine-Gordon Equation

In this paper, we obtain a 1＋1 dimensional integrable differential-difference model for the sine-Gordon equation by Hirota＇s discretization method. A bilinear Backlund transformation and the associated Lax pair are also proposed/or this model.     

Fluctuating semiflexible polymer ribbon constrained to a ring

Twist stiffness and an asymmetric bending stiffness of a polymer or a polymer bundle is captured by the elastic ribbon model. We investigate the effects a ring geometry induces to a thermally fluctuating ribbon, finding bend-bend coupling in addition to twist-bend coupling. Furthermore, due to the geometric constraint the polymer's effective bending stiffness increases. A new parameter for experimental investigations of polymer bundles is proposed: the mean square diameter of a ribbonlike ring, which is determined analytically in the semiflexible limit. Monte Carlo simulations are performed which affirm the model's prediction up to high flexibility.     

集体噪声信道上带身份认证的无信息泄露的量子对话协议

在集体噪声条件下提出三个带身份认证的量子对话协议,两个量子对话协议分别用于抵抗集体消相干噪声和集体旋转噪声,另一个用于同时抵抗这两种集体噪声.通信双方通过广义幺正变换将自己的秘密信息编码到量子态中;并根据自己的秘密信息和携带秘密信息的粒子的初末两量子态,便可推知对方的秘密信息实现量子对话.协议的效率、安全性和无信息泄露等性能分析表明了协议的有效性.     

FPGA中信号可靠性设计的方法研究

对FPGA程序设计中存在的信号抖动、相位差异以及在模块继承时不同时钟域引起的软件异常等可靠性设计问题,将目前常用的信号抖动抑制及判断方法进行了分析总结,提出了几种新的FPGA内部的信号处理方法;通过实验验证,这些方法对不同脉冲宽度、不同突发频率的随机干扰,能够进行有效抑制;通过合理降频、例化原语等方法优化软件设计,提高了FPGA输出信号的完整性和可靠性;在航天、航空和工业控制领域中,有效地解决了软件系统的可靠性问题,为建立可靠性高、运行稳定的软件系统创造了条件。     

Selective creation of maximum coherence in multi-level Λ system

We consider the creation of the maximum Raman coherence in the six-level Λ system using optimal control theory. Optimal fields are designed for different initial conditions, resonant, and off-resonant, using the Krotov method including a reference field into the cost functional. Suppression of the population transfer to the intermediate level is achieved via an additional functional constraint which depends on the system dynamics. We demonstrate that the spectrum of the optimised fields has major contribution from the corresponding resonant frequencies independently of the choice of carrier frequency of the initial guess field. We also indicate that the pulse train emerges as a solution of the control problem of coherence optimisation in multi-level quantum systems.