The physical nature of fractional NWS model compared with the exact solution and the solution at various fractional order where <i>α</i> ∈ [0.5, 0.75, 1].

The physical nature of fractional NWS model compared with the exact solution and the solution at various fractional order where α ∈ [0.5, 0.75, 1].</p

The physical nature of fractional NWS model compared with the exact solution and the solution at various fractional order where <i>α</i> ∈ [0.5, 0.75, 1].

The physical nature of fractional NWS model compared with the exact solution and the solution at various fractional order where α ∈ [0.5, 0.75, 1].</p

The 3D comparison of fractional NWS model with the solution at <i>α</i> = 1 and the exact solution.

(a) The approximate solution of ϑ3(x, t). (b) The exact solution of ϑ(x, t).</p

The error distribution between the results of and the exact solution.

The error distribution between the results of and the exact solution.</p

The error distribution between the results of and the exact solution.

The error distribution between the results of and the exact solution.</p

The 3D comparison of fractional NWS model with the solution at <i>α</i> = 1 and the exact solution.

(a) The approximate solution of ϑ3(x, t). (b) The exact solution of ϑ(x, t).</p

Vitamin E‑Labeled Polyethylenimine for <i>in vitro</i> and <i>in vivo</i> Gene Delivery

A series of Vitamin E (vitE)-labeled PEIs (PEI-vitE_<i>n</i>) were synthesized and showed excellent complexation ability with plasmid DNA (pDNA). The cellular uptake of PEI-vitE_<i>n</i>/pDNA complexes was greatly enhanced with the increase of vitE labeling, which is much better than that of control PEI25 in three different cell lines. PEI-vitE₆ showed the best performance in <i>gfp</i> pDNA delivery and following GFP expression in HEK-293A cells. In addition, <i>in vivo</i> gene delivery in living mice also confirmed that PEI-vitE₆ showed low toxicity and efficiently delivered <i>gfp</i> pDNA to the cells of liver and lung tissues for gene expression

Rates of classification errors of the methods on the ORL database (%).

<p>Rates of classification errors of the methods on the ORL database (%).</p

The face images of one subject in the AR database.

<p>The face images of one subject in the AR database.</p

Rates of classification errors of the methods on the FERET database (%).

<p>Rates of classification errors of the methods on the FERET database (%).</p