In this paper, we are interested to find the most sensitive parameter, local and global stability of ovarian tumor growth model. For sensitivity analysis, we use Latin Hypercube Sampling (LHS) method to generate sampl...In this paper, we are interested to find the most sensitive parameter, local and global stability of ovarian tumor growth model. For sensitivity analysis, we use Latin Hypercube Sampling (LHS) method to generate sample points and Partial Rank Correlation Coefficient (PRCC) method, uses those sample points to find out which parameters are important for the model. Based on our findings, we suggest some treatment strategies. We investigate the sensitivity of the parameters for tumor volume, <em>y</em>, cell nutrient density, <em>Q</em> and maximum tumor size, <em>ymax</em>. We also use Scatter Plot method using LHS samples to show the consistency of the results obtained by using PRCC. Moreover, we discuss the qualitative analysis of ovarian tumor growth model investigating the local and global stability.展开更多
In this paper we study a periodic two-component Camassa-Holm equation with generalized weakly dissipation. The local well-posedness of Cauchy problem is investigated by utilizing Kato’s theorem. The blow-up criteria ...In this paper we study a periodic two-component Camassa-Holm equation with generalized weakly dissipation. The local well-posedness of Cauchy problem is investigated by utilizing Kato’s theorem. The blow-up criteria and the blow-up rate are established by applying monotonicity. Finally, the global existence results for solutions to the Cauchy problem of equation are proved by structuring functions.展开更多
In this paper we consider one dimensional mean-field backward stochastic differential equations(BSDEs)under weak assumptions on the coefficient.Unlike[3],the generator of our mean-field BSDEs depends not only on the s...In this paper we consider one dimensional mean-field backward stochastic differential equations(BSDEs)under weak assumptions on the coefficient.Unlike[3],the generator of our mean-field BSDEs depends not only on the solution(Y,Z)but also on the law PY of Y.The first part of the paper is devoted to the existence and uniqueness of solutions in Lp,1<p≤2,where the monotonicity conditions are satisfied.Next,we show that if the generator/is uniformly continuous in(μ,y,z),uniformly with respect to(t,ω) and if the terminal valueξbelongs to Lp(Ω,F,P)with 1<p≤2,the mean-field BSDE has a unique Lp solution.展开更多
由于传统模数转换器的性能受到物理技术的限制,多通道并行高速采样系统成为目前较为有效的解决方案。针对时间交替模数转换器(Time Interleaved Analog to Digital Converter,TIADC)中存在的时间不匹配问题,提出了一种校正方法。通过采...由于传统模数转换器的性能受到物理技术的限制,多通道并行高速采样系统成为目前较为有效的解决方案。针对时间交替模数转换器(Time Interleaved Analog to Digital Converter,TIADC)中存在的时间不匹配问题,提出了一种校正方法。通过采样数据与参考通道数据的差值确定信号的单调性,再使用改进的泰勒展开法对失配误差进行补偿。用MATLAB仿真200 MS/s的多通道并行交替采样原型验证算法的可行性。MATLAB仿真结果表明,该算法能有效降低由时间失配引起的失真,并能显著改善SFDR和SNR。与其他方法相比,该方法消耗的硬件资源少,校准效果好。展开更多
文摘针对重叠联盟的合作博弈框架(OCF games)中重叠联盟结构生成(OCSG)求解困难的问题,提出了一种基于贪心方法的有效算法。首先使用了一种带有联盟数量k约束的OCF博弈(kOCF games)模型来限制OCSG问题的规模;然后引入了一种相似度量来表示任意两个联盟结构之间的相似程度,并基于相似度量定义了单调性的性质,这意味着某一联盟结构与最优联盟结构的相似度越高,该联盟的单调性的值就越大;最后对于具有单调性质的kOCF博弈,采用了逐一插入玩家编号以逼近最优联盟结构的方法设计了联盟约束贪心(CCG)算法来求解给定的OCSG问题,并在理论上证明了CCG算法的复杂度是O(n2k+1)。通过实验分析和验证了不同参数和联盟值分布对所提算法性能的影响,并把该算法与Zick等提出的算法(ZICK Y,CHALKIADAKIS G,ELKIND E,et al.Cooperative games with overlapping coalitions:charting the tractability frontier.Artificial Intelligence,2019,271:74-97)在约束条件等方面进行了对比,得出了当联盟最大数量k被常数约束时所提算法的搜索次数随agent的个数基本呈线性增长的结果。可见CCG算法是固定参数k可解的,而且拥有更好的适用性。
文摘In this paper, we are interested to find the most sensitive parameter, local and global stability of ovarian tumor growth model. For sensitivity analysis, we use Latin Hypercube Sampling (LHS) method to generate sample points and Partial Rank Correlation Coefficient (PRCC) method, uses those sample points to find out which parameters are important for the model. Based on our findings, we suggest some treatment strategies. We investigate the sensitivity of the parameters for tumor volume, <em>y</em>, cell nutrient density, <em>Q</em> and maximum tumor size, <em>ymax</em>. We also use Scatter Plot method using LHS samples to show the consistency of the results obtained by using PRCC. Moreover, we discuss the qualitative analysis of ovarian tumor growth model investigating the local and global stability.
文摘In this paper we study a periodic two-component Camassa-Holm equation with generalized weakly dissipation. The local well-posedness of Cauchy problem is investigated by utilizing Kato’s theorem. The blow-up criteria and the blow-up rate are established by applying monotonicity. Finally, the global existence results for solutions to the Cauchy problem of equation are proved by structuring functions.
基金supported in part by the NSFC(11222110,11871037)Shandong Province(JQ201202)+1 种基金NSFC-RS(11661130148,NA150344)111 Project(B12023)。
文摘In this paper we consider one dimensional mean-field backward stochastic differential equations(BSDEs)under weak assumptions on the coefficient.Unlike[3],the generator of our mean-field BSDEs depends not only on the solution(Y,Z)but also on the law PY of Y.The first part of the paper is devoted to the existence and uniqueness of solutions in Lp,1<p≤2,where the monotonicity conditions are satisfied.Next,we show that if the generator/is uniformly continuous in(μ,y,z),uniformly with respect to(t,ω) and if the terminal valueξbelongs to Lp(Ω,F,P)with 1<p≤2,the mean-field BSDE has a unique Lp solution.
文摘由于传统模数转换器的性能受到物理技术的限制,多通道并行高速采样系统成为目前较为有效的解决方案。针对时间交替模数转换器(Time Interleaved Analog to Digital Converter,TIADC)中存在的时间不匹配问题,提出了一种校正方法。通过采样数据与参考通道数据的差值确定信号的单调性,再使用改进的泰勒展开法对失配误差进行补偿。用MATLAB仿真200 MS/s的多通道并行交替采样原型验证算法的可行性。MATLAB仿真结果表明,该算法能有效降低由时间失配引起的失真,并能显著改善SFDR和SNR。与其他方法相比,该方法消耗的硬件资源少,校准效果好。