The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were c...The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were completely characterized by the Wutam Consortium(1998) and Z. Y. Li, et al.(2010). But there exist no more results on orthogonal multivariate wavelet matrix multipliers corresponding integer expansive dilation matrix with the absolute value of determinant not 2 in L~2(R~2). In this paper, we choose 2I2=(~2~0)as the dilation matrix and consider the 2 I2-dilation orthogonal multivariate waveletΨ = {ψ, ψ, ψ},(which is called a dyadic bivariate wavelet) multipliers. We call the3 × 3 matrix-valued function A(s) = [ f(s)], where fi, jare measurable functions, a dyadic bivariate matrix Fourier wavelet multiplier if the inverse Fourier transform of A(s)( ψ(s), ψ(s), ψ(s)) ~T=( g(s), g(s), g(s))~ T is a dyadic bivariate wavelet whenever(ψ, ψ, ψ) is any dyadic bivariate wavelet. We give some conditions for dyadic matrix bivariate wavelet multipliers. The results extended that of Z. Y. Li and X. L.Shi(2011). As an application, we construct some useful dyadic bivariate wavelets by using dyadic Fourier matrix wavelet multipliers and use them to image denoising.展开更多
目的探讨蝎毒多肽提取物增强环磷酰胺抗肿瘤的机制。方法建立小鼠Lewis肺癌皮下荷瘤模型,随机分为荷瘤对照组(模型组)、环磷酰胺(cyclophosphamide,CTX)组、蝎毒多肽提取物(polypeptideextract from scorpion venom,PESV)组和联合组(CTX...目的探讨蝎毒多肽提取物增强环磷酰胺抗肿瘤的机制。方法建立小鼠Lewis肺癌皮下荷瘤模型,随机分为荷瘤对照组(模型组)、环磷酰胺(cyclophosphamide,CTX)组、蝎毒多肽提取物(polypeptideextract from scorpion venom,PESV)组和联合组(CTX+PESV组),每组10只。记录肿瘤生长曲线,并采用逆转录PCR法和免疫组织化学法检测肿瘤微环境中免疫抑制因子血管内皮生长因子-A(VEGF-A)和转化生长因子-β1(TGF-β1)的表达变化,采用免疫荧光化学法检测肿瘤组织中树突细胞(dendritic cells,DCs)表型CD80、CD86的表达变化。结果连续治疗21天后,联合组Lewis肺癌移植瘤的生长明显抑制(P<0.05);与模型组相比较,PESV组中CD80、CD86的表达有所增强,而CTX组中CD80、CD86的表达有所下降,联合组与CTX组相比强度和表达量均有所增加;与模型组比较PESV组和CTX组TGF-β1和VEGF-A mRNA表达量均降低(均P<0.05);与PESV组和CTX组比较,联合组TGF-β1和VEGF-A的mRNA表达量均降低(P<0.05)。结论 PESV可抑制Lewis肺癌中VEGF-A和TGF-β1的表达,促进DC的成熟,恢复其抗原摄取提呈功能,逆转CTX对机体的免疫损伤,从而起到诱导肿瘤细胞凋亡的作用。展开更多
基金partially supported by the National Natural Science Foundation of China (Grant No. 11101142 and No. 11571107)
文摘The single 2 dilation orthogonal wavelet multipliers in one dimensional case and single A-dilation(where A is any expansive matrix with integer entries and|det A|=2) wavelet multipliers in high dimensional case were completely characterized by the Wutam Consortium(1998) and Z. Y. Li, et al.(2010). But there exist no more results on orthogonal multivariate wavelet matrix multipliers corresponding integer expansive dilation matrix with the absolute value of determinant not 2 in L~2(R~2). In this paper, we choose 2I2=(~2~0)as the dilation matrix and consider the 2 I2-dilation orthogonal multivariate waveletΨ = {ψ, ψ, ψ},(which is called a dyadic bivariate wavelet) multipliers. We call the3 × 3 matrix-valued function A(s) = [ f(s)], where fi, jare measurable functions, a dyadic bivariate matrix Fourier wavelet multiplier if the inverse Fourier transform of A(s)( ψ(s), ψ(s), ψ(s)) ~T=( g(s), g(s), g(s))~ T is a dyadic bivariate wavelet whenever(ψ, ψ, ψ) is any dyadic bivariate wavelet. We give some conditions for dyadic matrix bivariate wavelet multipliers. The results extended that of Z. Y. Li and X. L.Shi(2011). As an application, we construct some useful dyadic bivariate wavelets by using dyadic Fourier matrix wavelet multipliers and use them to image denoising.
