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Nonlocal Cauchy problem for some stochastic integro-differential equations in Hilbert spaces
Jing Cui,Litan Yan,Xiaotai Wua 한국통계학회 2012 Journal of the Korean Statistical Society Vol.41 No.3
In this paper, we study the existence results of mild solutions for a class of stochastic integro-differential equations with nonlocal conditions and stochastic impulsive integrodifferential equations with nonlocal conditions in Hilbert spaces. Sufficient conditions for the existence of mild solutions are derived by means of Leray–Schauder nonlinear alternative. An example is provided to illustrate the theory.
Jingcui Yu,Songbin Fu,Peng Liu,Xiaobo Cui,Yu Sui,Guohua Ji,Rongwei Guan,Donglin Sun,Wei Ji,Fangli Liu,An Liu,Yuzhen Zhao,Yang Yu,Yan Jin,Jing Bai,Jingshu Geng,Yingwei Xue,Jiping Qi,Ki-Young Lee 한국분자세포생물학회 2011 Molecules and cells Vol.32 No.1
Previously, we identified 3 overlapping regions showing loss of heterozygosity (LOH, R_1-R_3 from 11 to 30 cM) on chromosome 17 in 45 primary gastric cancers (GCs). The data indicated the presence of tumor suppressor genes (TSGs) on chromosome 17 involved in GC. Among the putative TSGs in these regions, HIC1 (in SR_1) and TOB1 (in SR_3) remain to be examined in GC. By immunohistochemistry (IHC), methylation-specific PCR (MSP) and western blot, we evaluated the expression and regulation status for HIC1 and TOB1 protein in GC. We narrowed down the deletion intervals on chromosome 17 and defined five smaller LOH subregions, SR_1-SR_5 (0.54 to 3.42 cM), in GC. We found that HIC1 had downregulated expression in 86% (91/106) and was methylated in 87% (26/30) of primary GCs. Of the primary GCs showing downregulation of HIC1 protein, 75% (18/24) had methylated HIC1 gene. TOB1 was either absent or expressed at reduced levels in 75% (73/97) of the GC samples. In addition, a general reduction was found in total and the ratio of unphosphorylated to phosphorylated TOB1 protein levels in the differentiated GC cell lines. Further analysis revealed significant simultaneous downregulation of both HIC1 and TOB1 protein in GC tissue microarray samples (67%, 52/78) and in primary GCs (65%, 11/17). These results indicate that silencing of HIC1 and TOB1 expression is a common occurrence in GC and may contribute to the development and progression of the disease.