A new conjugate gradient method based on the modified secant equations

Abstract. Based on the secant equations proposed by Zhang, Deng and Chen, we propose a new nonlinear conjugate gradient method for unconstrained optimization problems. Global convergence of this method is established under some proper conditions

A new difference of anisotropic and isotropic total variation regularization method for image restoration

Total variation (TV) regularizer has diffusely emerged in image processing. In this paper, we propose a new nonconvex total variation regularization method based on the generalized Fischer-Burmeister function for image restoration. Since our model is nonconvex and nonsmooth, the specific difference of convex algorithms (DCA) are presented, in which the subproblem can be minimized by the alternating direction method of multipliers (ADMM). The algorithms have a low computational complexity in each iteration. Experiment results including image denoising and magnetic resonance imaging demonstrate that the proposed models produce more preferable results compared with state-of-the-art methods

A primal-dual algorithm framework for convex saddle-point optimization

Abstract In this study, we introduce a primal-dual prediction-correction algorithm framework for convex optimization problems with known saddle-point structure. Our unified frame adds the proximal term with a positive definite weighting matrix. Moreover, different proximal parameters in the frame can derive some existing well-known algorithms and yield a class of new primal-dual schemes. We prove the convergence of the proposed frame from the perspective of proximal point algorithm-like contraction methods and variational inequalities approach. The convergence rate O ( 1 / t ) $O(1/t)$ in the ergodic and nonergodic senses is also given, where t denotes the iteration number

Analysis of the side population (SP) in three human pancreatic cancer cell lines PANC-1, SW1990, and BxPc-3, using flow cytometry and Hoechst33342 dye.

<p>(<b>A</b>) Examples of floe cytometry analysis of SP cells in the presence or absence of 30 µM verapamil, cdODN-SOC (a complex decoy oligodeoxynucleotide carrying <i>cis</i>-elements for Sox2, Oct4 and c-Myc), or NC–ODN (negative control cdODN). (<b>B</b>) The SP proportions as percentage of total population. ***<i>p</i><0.001 <i>vs</i> Control; n=4.</p

Enhanced drug resistance of SP cells and suppression by cdODN-SOC.

<p>(<b>A</b>) Percent cell survival measured by MTT assay in PANC-1 CSCs. All cells were all treated with varying concentrations of gemcitabine and with lipofectamine 2000. Symbols are experimental data and the lines represent best fits to Hill equation. ***p<0.001 vs SP alone for comparison of IC50 values; n=4. (B) Percent apoptotic cells measured by ELISA to quantify DNA fragmentation in PANC-1 CSCs. All cells were all treated with varying concentrations of gemcitabine and with lipofectamine 2000. Symbols are experimental data and the lines represent best fits to Hill equation. ***p<0.001 vs SP alone for comparison of IC50 values; n=4. Quantitatively the same results were obtained from SW1990 and BxPc-3 CSCs (data not shown).</p

Inhibition of SP cell invasion and migration by cdODN-SOC.

<p>(<b>A</b>) Invasion assay. PANC-1 CSCs were plated onto the Matrigel-coated membrane in the top chamber of the transwell and transfected or treated with gemcitabine for 48 h. All cells were mock-treated with lipofectamine 2000. Cells invaded to the lower chambered were fixed with methanol, stained with crystal violet and counted. ***p<0.001 vs SP alone; n=6. (B) Migration assay. PANC-1 CSCs were plated in the top chamber of the transwell and transfected or treated with gemcitabine for 36 h. All cells were mock-treated with lipofectamine 2000. Cells migrated to the lower chambered were fixed with methanol, stained with crystal violet and counted. ***p<0.001 vs SP alone; n=5. Quantitatively the same results were obtained from SW1990 and BxPc-3 CSCs (data not shown).</p