The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long...The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives V_(x),V_(y),V_(t).Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x^(2)+y^(2)→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.展开更多
Alzheimer’s disease (AD) leads to the generation of β-amyloid (Aβ), which may damage DNA and thus lead to apoptosis induction by the p53 pathway. Dysfunction of the p53 protein may then be connected with the develo...Alzheimer’s disease (AD) leads to the generation of β-amyloid (Aβ), which may damage DNA and thus lead to apoptosis induction by the p53 pathway. Dysfunction of the p53 protein may then be connected with the development of AD. Studies were conducted on 28 AD patients and 30 non-AD controls. Analysis of TP53 mutations in exon 7 was performed on DNA isolated from whole blood and biochemical parameters in the peripheral lymphocytes of these individuals. Our study showed a silent mutation TP53 C708T (21%) [p TP53 C748A (4%) only in the AD patients. Moreover, in AD patients with the TP53 C748A mutation, the level of 8-oxo-2’- deoxyguanosine (8-oxo2dG) was more than 5 times higher than the average level in this study group. In AD patients with the wild-type TP53 gene, the level of 8-oxo2dG was correlated with the level of protein p53 (R = +0.7388, p TP53 (p TP53 (C748A, C708T) may be associated with pathogenesis of AD.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.1237125611971475)。
文摘The(2+1)-dimensional integrable generalization of the Gardner(2DG)equation is solved via the inverse scattering transform method in this paper.A kind of general solution of the equation is obtained by introducing long derivatives V_(x),V_(y),V_(t).Two different constraints on the kernel function K are introduced under the reality of the solution u of the 2DG equation.Then,two classes of exact solutions with constant asymptotic values at infinity u|x^(2)+y^(2)→∞→0 are constructed by means of the∂¯-dressing method for the casesσ=1 andσ=i.The rational and multiple pole solutions of the 2DG equation are obtained with the kernel functions of zero-order and higher-order Dirac delta functions,respectively.
文摘Alzheimer’s disease (AD) leads to the generation of β-amyloid (Aβ), which may damage DNA and thus lead to apoptosis induction by the p53 pathway. Dysfunction of the p53 protein may then be connected with the development of AD. Studies were conducted on 28 AD patients and 30 non-AD controls. Analysis of TP53 mutations in exon 7 was performed on DNA isolated from whole blood and biochemical parameters in the peripheral lymphocytes of these individuals. Our study showed a silent mutation TP53 C708T (21%) [p TP53 C748A (4%) only in the AD patients. Moreover, in AD patients with the TP53 C748A mutation, the level of 8-oxo-2’- deoxyguanosine (8-oxo2dG) was more than 5 times higher than the average level in this study group. In AD patients with the wild-type TP53 gene, the level of 8-oxo2dG was correlated with the level of protein p53 (R = +0.7388, p TP53 (p TP53 (C748A, C708T) may be associated with pathogenesis of AD.
