Mathematical Modeling Applied to Understand the Dynamical Behavior of HIV Infection

The study of viral dynamics of HIV/AIDS has resulted in a deep understanding of host-pathogenesis of HIV infection from which numerous mathematical modeling have been derived. Most of these models are based on nonlinear ordinary differential equations. In Bangladesh, the rate of increase of HIV infection comparing with the other countries of the world is not so high. Bangladesh is still considered to be a low prevalent country in the region with prevalence and shown the local and global stability at disease free and chronic infected equilibrium points. Also we have shown that if the basic reproduction number , then HIV infection is cleared from T cell population and it converges to disease free equilibrium point. Whereas if , then HIV infection persists.

混合微电网滚动优化调度

考虑储能系统始末状态对微电网经济调度产生的影响,本文以微电网运行成本和污染性气体治理费用总和最小为目标,提出了可以控制储能系统末端状态的微电网调度模型。针对微电网中光伏、风力发电的不确定性,提出采用滚动时域优化并结合短时预测的方法来提高微电网调度的鲁棒性。利用细胞膜优化算法对模型进行求解。算例验证模型和算法的有效性,并比较细胞膜优化算法与微分进化算法的收敛速度和收敛性,分析滚动优化窗口长度对调度结果的影响。仿真表明采用滚动时域优化调度能较好地跟踪系统的变化,在不确定环境下使调度结果更接近全局最优。

多相聚合物在正交剪切流场中相形态的模拟

借鉴多组分聚合物相分离的动力学方程,对共混过程的外界流场进行简化并推导了动力学方程。应用形态模拟的CDS算法,对推导的动力学方程进行了数值模拟。模拟结果给出了两相聚合物在简化的流场(正交剪切场)的作用下的相形态的演化过程,在一定程度上反映了共混过程的主要形态演化特征,同时指出了提高模拟精度的途径。本文为多相聚合物共混过程的形态模拟提供了一种新方法。

改进粒子群算法集成解决动态单元构建与布局问题（英文）

为了降低产品生命周期缩短对生产系统的影响,对动态单元构建与布局问题同时进行了优化.首先介绍了单元构建与布局问题,考虑到不同阶段的产品需求变化及机器产能限制,适当地将单元进行重新布置.然后,以最小化物料搬运费用为目标函数,建立了数学规划模型.其次,提出了基于沟通学习策略的动态多种群粒子群算法,使各种群粒子重组之前以规定策略进行位置共享,避免陷入局部最优和收敛较慢的困境.最后,在不同条件下进行了仿真对比实验,结果表明,所提出的算法具有更好的收敛稳定性以及更快的收敛速度.

便携式固体氧化物燃料电池系统控制研究现状与进展

固体氧化物燃料电池(solid oxide fuel cell,SOFC)因其高能量密度、高效率、清洁环保的特点,在远程电源、辅助动力、单兵电源等移动便携电源领域具有广阔的应用前景。便携式SOFC系统控制策略的研究对其实物搭建及产品化运行具有重要意义。该文首先介绍了便携式SOFC系统的结构及工作原理;随后总结归纳了国内外在便携式SOFC系统动态特性、控制需求、控制策略及控制算法等方面的研究进展;最后,在此基础上提出了未来便携式SOFC系统控制领域的发展方向。

湿地特征与变化信息自动分析系统设计与实现

为了快速分析湿地现状与变化特征,提高湿地遥感监测速率,本文采用GIS空间分析与ODBC数据库融合的二次开发技术,采取"动态单元格循环算法",结合动态度、分布密度等动态指标,实现了湿地现状与变化信息自动化分析,并在吉林省珲春地区开展了应用实践且取得良好效果。研究结果表明:C#+ArcEngine与ODBC数据库融合方法可以将空间计算转换为数据运算,能大大提高湿地数据统计与分析速率;动态单元格循环算法能实现面向动态单元对象的湿地分析;湿地分布密度、动态度等指标完全可以程序化,从而提高湿地监测效率。

活动期SLE患者T、B淋巴细胞CD_(69)表达动力学研究

目的:通过检测活动期ＳＬＥ患者Ｔ、Ｂ细胞ＣＤ69表达动力学,以探讨活动期ＳＬＥ体内Ｔ、Ｂ细胞活化机制。方法:ＣｏｎＡ体外刺激5例活动期ＳＬＥ患者和5例健康志愿者外周血单个核细胞,选取不同时间点,流式细胞仪观察Ｔ细胞亚群,Ｂ细胞ＣＤ69表达率。结果:ＣｏｎＡ刺激后,活动期ＳＬＥ患者ＣＤ4+、ＣＤ8+和Ｂ细胞在4ｈ后ＣＤ69表达达到高峰,健康志愿者则在24ｈ后达到高峰,随后逐渐下降,ＣＤ4+细胞比ＣＤ8细胞ＣＤ69表达要强。结论:活动期ＳＬＥ患者Ｔ、Ｂ的活化均有ＣＤ69参与,高峰出现时间较正常人提前,Ｔ、Ｂ细胞活化参与ＳＬＥ的发病过程。

Investigating the effect of pyroptosis on the slow CD4+T cell depletion in HIV-1 infection,by dynamical analysis of its discontinuous mathematical model

HIV infection is one of the most serious causes of death throughout the world.CD4+T cells which play an important role in immune protection,are the primary targets for HIV infection.The hallmark of HIV infection is the progressive loss in population of CD4+T cells.However,the pathway causing this slow T cell decline is poorly understood[16].This paper studies a discontinuous mathematical model for HIV-1 infection,to investigate the effect of pyroptosis on the disease.For this purpose,we use the theory of discontinuous dynamical systems.In this way,we can better analyze the dynamical behavior of the HIV-1 system.Especially,considering the dynamics of the system on its discontinuity boundary enables us to obtain more comprehensive results rather than the previous researches.A stability region for the system,corresponding to its equilibria on the discontinuity boundary,will be determined.In such a parametric region,the trajectories of the system will be trapped on the discontinuity manifold forever.It is also shown that in the obtained stability region,the disease can lead to a steady state in which the population of uninfected T cells and viruses will preserve at a constant level of cytokines.This means that the pyroptosis will be restricted and the disease cannot progress for a long time.Some numerical simulations based on clinical and experimental data are given which are in good agreement with our theoretical results.