一类尘埃等离子体孤波解

研究了一类非线性尘埃等离子体孤波解.首先对无扰动情形下的孤波解作了阐述,接着用同伦映射方法,构造了一个迭代,并求出到了非线性尘埃等离子体扰动单孤波的行波解.最后得到了对应模型的单孤波的各次近似解.     

一类特殊拟可微函数最优化问题的线性化方法

In this paper,we consider the problem of minimizing a particular class of quasi-differentiable functions:min{f(x)=max min fij(x)}.An algorithm for this problem is giver.At each iteration by solving quadratic programming subproblems to generate search directions,its convergence is proved in the sense of inf-stationary points.     

非线性捕食-被捕食反应扩散系统的奇摄动

在适当的条件下，利用微分不等式理论，讨论了一个初始边值问题解的存在性和渐近性态．微分不等式理论的实质是构造两个辅助函数作为系统的上、下解．本文是利用微分不等式方法来研究一类生物数学中的非线性奇摄动捕食一被捕食反应扩散系统．然后使上、下解分别满足相应的不等式．最后证明所研究的系统存在解并处在上、下解之间，从而证明了系统解的存在性，并同时得到解的估计。     

影子价格在经济管理中的应用

本文讨论了如何利用影子价格为企业的决策者提供有价值的信息 .     

扰动KdV方程孤子的同伦映射解

利用同伦映射方法研究了一类非线性KdV(Korteweg de Vries)方程. 首先引入一个同伦变换,使相应的方程求孤子解问题转化为映射变换问题.然后利用映射特性得到了原方程孤子的近似解. 关键词： 孤子 扰动 同伦映射     

非线性扰动耦合Schrdinger系统激波的近似解法

研究了一类非线性扰动耦合Schrdinger系统.利用精确解与近似解相关联的特殊技巧,首先讨论了对应典型的耦合系统,利用投射法得到了精确的激波行波解.再利用近似方法得到了扰动耦合Schrdinger系统的行波渐近解.     

Biophysical model for high-throughput tumor and epithelial cell co-culture in complex biochemical microenvironments

The in vivo tumor microenvironment is a complex niche that includes heterogeneous physical structures,unique biochemical gradients and multiple cell interactions.Its high-fidelity in vitro reconstruction is of fundamental importance to improve current understandings of cell behavior,efficacy predictions and drug safety.In this study,we have developed a high-throughput biochip with hundreds of composite extracellular matrix(ECM)microchambers to co-culture invasive breast cancer cells(MDA-MB-231-RFP)and normal breast epithelial cells(MCF-10 A-GFP).The composite ECM is composed of type I collagen and Matrigel which provides a heterogeneous microenvironment that is similar to that of in vivo cell growth.Additionally,the growth factors and drug gradients that involve human epidermal growth factor(EGF),discoidin domain receptor 1(DDR1)inhibitor 7 rh and matrix metalloproteinase inhibitor batimastat allow for the mimicking of the complex in vivo biochemical microenvironment to investigate their effect on the spatial-temporal dynamics of cell growth.Our results demonstrate that the MDA-MB-231-RFP cells and MCF-10 A-GFP cells exhibit different spatial proliferation behaviors under the combination of growth factors and drugs.Basing on the experimental data,we have also developed a cellular automata(CA)model that incorporated drug diffusion to describe the experimental phenomenon,as well as employed Shannon entropy(SE)to explore the effect of the drug diffusion coefficient on the spatial-temporal dynamics of cell growth.The results indicate that the uniform cell growth is related to the drug diffusion coefficient,which reveals that the pore size of the ECM plays a key role in the formation of complex biochemical gradients.Therefore,our integrated,biomimetic and high-throughput co-culture platforms,as well as the computational model can be used as an effective tool for investigating cancer pathogenesis and drug development.     

(3+1)维Burgers扰动系统孤波的解法

研究了在物理模型中的一类扰动高维非线性Burgers系统. 利用经过改进的广义变分迭代方法, 构造了相应迭代关系式. 得到了扰动系统的孤波近似解.     

Asymptotic solving method for seaben air coupled oscillator ENSO model

The ENSO is an interannual phenomenon involved in the tropical Pacific ocean-atmosphere interaction. In this article, we create an asymptotic solving method for the nonlinear system of the ENSO model. The asymptotic solution is obtained. And then we can furnish weather forecasts theoretically and other behaviors and rules for the atmosphere-ocean oscillator of the ENSO.