A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells

Acta Mathematicae Applicatae Sinica, English Series - In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4+ T cells. The existence and...     

化妆品中黄芩苷与白鲜碱的超高效液相色谱检测及质谱确证

建立了化妆品中黄芩苷和白鲜碱的超高效液相色谱(UPLC)检测方法和超高效液相色谱-四极杆串联飞行时间质谱仪(UPLC-Q-TOF)的质谱确证方法。不同基质类型的化妆品经甲醇-磷酸缓冲溶液(9∶1,p H 2.5)超声提取,氯化钠破乳化,以乙腈-0.1%甲酸水溶液为流动相,梯度洗脱,利用Waters CSH C18(2.1 mm×100 mm,1.7μm)色谱柱对目标物和样品杂质进行有效分离,以314 nm为检测波长进行定量测定。黄芩苷和白鲜碱在0.05~10 mg/L范围内均呈良好线性,相关系数大于0.999,方法的回收率为92.2%~103.1%,相对标准偏差小于4%,方法检出限均为0.3 mg/kg。同时建立了对黄芩苷和白鲜碱的UPLC-QTOF质谱确证方法,通过一个母离子和子离子的精确质量数对黄芩苷和白鲜碱进行确证,分子质量精确度小于5 ppm,并结合紫外吸收光谱、精确质量数及同位素匹配对黄芩苷的降解产物进行了结构确定。     

渤黄东海底摩擦系数数值研究

使用伴随同化方法探讨了四种底摩擦系数处理方法并模拟了渤黄东海的M₂分潮.理想实验表明:伴随同化方法有很强的反演底摩擦系数的能力;为了得到较好的反演结果,反演策略必须与给定的分布一致;如果给定分布很复杂,则需要复杂的反演策略.实际实验表明,底摩擦效应与地形密切相关,而海洋地形十分复杂,故需要较多的独立的底摩擦系数才能得到较好的模拟结果.本文的第四种方法将每一点均作为独立的底摩擦系数,在实验中获得了成功,验证了这种方法的合理性和有效性.     

Bifurcations and Chaos in a Discrete Predator-prey System with Holling Type-IV Functional Response

A discrete predator-prey system with Holling type-IV functional response obtained by the Euler method is first investigated. The conditions of existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using the center manifold theorem and bifurcation theory. Furthermore, we give the condition for the occurrence of codimension-two bifurcation called the Bogdanov-Takens bifurcation for fixed points and present approximate expressions for saddle-node, Hopfand homoclinic bifurcation sets near the Bogdanov-Takens bifurcation point. We also show the existence of degenerated fixed point with codimension three at least. The numerical simulations, including bifurcation diagrams, phase portraits, and computation of maximum Lyapunov exponents, not only show the consistence with the theoretical analysis but also exhibit the rich and complex dynamical behaviors such as the attracting invariant circle, period-doubling bifurcation from period-2,3,4 orbits.interior crisis, intermittency mechanic, and sudden disappearance of chaotic dynamic.     

飞秒激光脉冲在三能级有机分子介质中传播时的频谱分析

通过采用预估校正的时域有限差分法求解麦克斯韦-布洛赫方程,我们研究了飞秒激光脉冲在三能级有机分子(4,4-二甲氨基二苯乙烯分子)介质中传播时脉冲的频谱演化情况.在单光子共振情况下,即入射脉冲频率等于1、2能级之间的共振频率,对大面积入射脉冲,由于强的二次激发的作用,电场频谱中出现了在ω32附近振荡的频率成分,ω32是2、3能级之间的共振频率,说明对大面积入射脉冲二能级模型已经失效,需要采用多能级模型来描述分子介质.在双光子共振情况下,即入射脉冲频率等于1、3能级之间的共振频率的一半,由于介质中放大的自发辐射和四波混频的作用,部分入射脉冲能量转化为高频和低频电场成分的能量,分子介质表现出了很强的光功率限幅特性.     

随机利率下的PPP项目实物期权评价研究

PPP项目通常实施周期长,风险突出。传统的实物期权评价方法考虑了未来的不确定性和管理者柔性的价值,但是一般假设无风险利率是固定的,不符合利率长期内波动的特点,会造成投资者决策失误。本文考虑了未来无风险利率波动条件下,PPP项目中实物期权的价值。首先分析了PPP项目中通常存在的期权形式,其次研究了无风险利率三角逆变函数以及在此基础上得出模拟实物期权模型,并用案例对比分析固定利率和随机利率下的期权价值。结果显示,随机利率比固定利率下的期权价值更高,研究结论可以为PPP项目的投资者进行决策提供重要依据。     

PPP项目国有企业隧道行为研究

PPP项目中, 国有企业时常利用控制权优势和信息不对称实施隧道行为, 加大了民营资本进入PPP项目的阻力, 损害了项目整体利益, 不利于PPP模式的健康可持续发展。本文在分析PPP项目中国企隧道行为表现形式和形成机理的基础上, 分别通过博弈论和投资组合模型构建了隧道行为实施条件和发生概率模型。研究结果表明, 国企实施隧道行为需具备基于控制权的先决条件, 挖掘成本相对项目利益的比重越大, 所需控制权越高; 而隧道行为的发生概率随着挖掘成本的降低和控制权的增加而增加。通过蒙特卡洛模拟对河北承德市双峰寺水库PPP项目进行案例分析, 验证了国企隧道行为实施条件和概率模型的可行性和适用性。最终, 分别从提高民企的谈判能力, 增加PPP项目信息透明度, 加强政府监管, 并使国企和项目整体产生利益协同四个方面提出隧道行为治理机制, 保障PPP模式的可持续发展。     

STUDIES ON THE SELF-DIFFUSION OF WATER ETHANOL MIXTURE IN CHITOSAN PERVAPORATION MEMBRANE WITH PULSED FIELD GRADIENT NMR DATA

The self-diffesion of water, ethanol and water-ethanol mixtures in chitosan (CS) membranes crosslinked byaqueous H_2SO_4 solution and uncrosslinked membrane was measured using pulsed-field gradient (PFG) nuclear magneticresonance (NMR) spectroscopy to obtain the partial solubilities and self-diffusion coefficients. An attempt was made toexplain the transport properties of water and ethanol through the CS membrane. It was concluded that there are two types ofchannel water and ethanol diffesate transfer. The water was localized in the hydrophilic ionic region formed by the ionizedgroups, and the ethanol was localized in the hydrophobic amorphous network of the polymer. There was a good agreementbetween the separation fastors estimated from PFG-NMR data and those obtained by pervaporation testing.     

食品纸包装材料中指示性多氯联苯的固相萃取/气相色谱-质谱联用法测定

建立了一种简单、快速测定食品纸包装材料中指示性多氯联苯的分析方法.采用溶剂超声萃取样品,通过C18固相萃取柱、浓硫酸净化后,用气相色谱-质谱联用仪(GC-MS)进行测定.并对不同的萃取溶剂和萃取方法进行了系统地比较,优化了实验条件,方法的回收率为88%～102%,相对标准偏差为3%～7%,定量下限为1.0 μg/kg.