Weight hierarchies of a family of linear codes associated with degenerate quadratic forms

We restrict a degenerate quadratic form $f$ over a finite field of odd characteristic to subspaces. Thus, a quotient space related to $f$ is introduced. Then we get a non-degenerate quadratic form induced by $f$ over the quotient space. Some related results on the subspaces and quotient space are obtained. Based on this, we solve the weight hierarchies of a family of linear codes related to $f.$Comment: 12 page

Relationship between integrin ανβ3 and α6β1 expression levels and clinicopathological characteristics of cervical cancer

Purpose: The study was aimed at investigating the relationship between integrin ανβ3 and α6β1 expression levels and clinicopathological characteristics of cervical cancer. Methods: A total of 78 cases of pathologically confirmed cervical cancer patients admitted to our hospital from April 2012 to September 2013 were selected. The expression levels of integrin ανβ3 and α6β1 in the cervical cancer tissue (study group, n=78) and adjacent normal tissue (control group, n=49) were detected by immunohistochemistry. Then, the relationship between the expression of two indicators in cervical cancer tissues and the clinicopathological features of patients were analyzed. Results: Positive expression rate of integrin ανβ3 in cervical cancer tissues was significantly higher than that in adjacent normal tissues (73.08% vs 2.04%, P<0.05). For integrin α6β1, the positive expression rate in cervical cancer tissues was significantly higher than that in adjacent normal tissues (67.95% vs 8.16%, P<0.05). The expression level of integrin ανβ3 in cervical cancer tissues with different degree of differentiation, tumor diameter, depth of invasion, and lymph node metastasis was significantly different (P<0.05). Integrin α6β1, the expressed in cervical cancer tissues with significantly different degrees of differentiation, infiltration depth and lymph node metastasis (P<0.05). Conclusion: The integrin ανβ3 and α6β1 are highly expressed in cervical cancer tissue. The expression level of integrin ανβ3 was related to the differentiation degree, diameter of tumor, infiltration depth and lymph node metastasis, while the expression of integrin α6β1 was related to the clinicopathological features, such as the differentiation degree of cancer tissues, depth of invasion, and lymph node metastasis

Adiponectin regulates the malignant biological behavior of endometrial cancer cells via AMPK/mTOR signal pathway

Purpose: To study the mechanism by which adiponectin regulates the malignant biological behavior of endometrial cancer cells. Methods: RL95-2 cells were cultured and re-suspended in complete medium. A preliminary study showed that adiponectin (20 μg/mL) has the most inhibitory effect on cellular proliferation. The cells were divided into control group, 20 μg/mL adiponectin group, and 20 μg/mL adiponectin + 10 μmol/L AMPK inhibitor group, with 4 repeat wells set up for each group. Cell proliferation, apoptosis, invasion and migration ability, as well as the expression levels of MMP-9, Bcl-2, p-AMPK, p-mTOR and p-4ebp1 were determined using standard procedures. Results: Cell proliferation was significantly higher in the 20 μg/mL adiponectin group than in the 10 μg/mL adiponectin group (p < 0.05). Relative to the control group, apoptosis and p-AMPK expression level in the 10 μg/mL adiponectin group increased, while cell invasion and migratory potential, as well as expression levels of MMP-9, Bcl-2, p-mTOR and p-4ebp1 declined significantly (p < 0.05). The apoptosis and expression level of p-AMPK in the 20 μg/mL adiponectin + 10 μmol/L AMPK inhibitor group decreased, while cell invasion, migratory ability, and amounts of MMP-9, Bcl-2, p-mTOR and p- 4ebp1 were elevated, relative to the 20 μg/mL adiponectin group (p < 0.05). Conclusion: Adiponectin promotes apoptosis of endometrial cancer cells via AMPK/mTOR signaling pathway, and inhibits cell proliferation, invasion and migration. Thus, adiponectin has the potential to exert anti-tumor effect in humans