In this paper, we establish exact solutions for the timefractional Klein-Gordon equation, and the time-fractional HirotaSatsuma coupled KdV system. The Hes semi-inverse and the Kudryashov methods are used to construct exact solutions of these equations. We apply Hes semi-inverse method to establish a variational theory for the time-fractional Klein-Gordon equation, and the timefractional Hirota...

BACKGROUND Hard exudates (HEs) are the classical sign of diabetic retinopathy (DR) which is one of the leading causes of blindness, especially in developing countries. Accordingly, disease screening involves examining HEs qualitatively using fundus camera. However, for monitoring the treatment response, quantification of HEs becomes crucial and hence clinicians now seek to measure the area of H...

BACKGROUND The traditional vitrification method cannot keep up with the increased culture and propagation efficiency required to cryopreserve large quantities of vigorously proliferating human embryonic stem (HES) cells. In this study, we describe a newly invented vitrification carrier for cryopreserving large amount of HES cells and evaluate whether this bulk vitrification (BV) method is as ef...

In this paper, we study the manifold regularization for the Sliced Inverse Regression (SIR). The manifold regularization improves the standard SIR in two aspects: 1) it encodes the local geometry for SIR and 2) it enables SIR to deal with transductive and semi-supervised learning problems. We prove that the proposed graph Laplacian based regularization is convergent at rate root-n. The projecti...

Diabetic retinopathy (DR) is one of the common causes of blindness, and hard exudates (HEs) are the primary and early clinical signs of DR. Thus, a reliable detection of HEs is significant for clinical diagnosis and preventing vision loss of patients. In this paper, a novel method is presented to detect HEs automatically in color retinal images. The method consists of two stages: coarse level a...

Some human embryonic stem cell lines have shown genomic instabilities over long-term culture. To study the controversial origin of the SCNT-hES-1 line, which was derived from autologous somatic cell nuclear transfer (SCNT), we compared the expression and methylation patterns of imprinted genes in the SCNT-hES-1 cells with the donor's somatic cells by semi-quantitative RT-PCR, real-time PCR and ...