ABSTRACT Fei Xavier Chen received his Bachelor's degree from Shandong University, China, and Master's Fudan where he worked on the structure function of histone demethylase LSD2. He then moved to USA join Ali Shilatifard's group for PhD, first at Stowers Institute Medical Research, Kansas City, Northwestern Chicago. During this time identified transcription regulator PAF1 as a crucial player in...

Recently, the study of chaotic dynamics has evolved from the traditional trend of understanding and analyzing chaos to the new intention of controlling and utilizing it [Chen & Dong, 1998; Wang & Chen, 2000; Lü et al., 2002d]. The Lorenz system, found in 1963, produces the best-known canonical chaotic attractor in a simple three-dimensional autonomous system [Lorenz, 1963; Stewart, 2000]. In 19...

The goal of this paper is to give a new and short proof of the local Atiyah-Singer index theorem by using approximations of heat semigroups. The heat equation approach to index theorems is not new: It was suggested by Atiyah-Bott [1] and McKean-Singer [18], and first carried out by Patodi [21] and Gilkey [13]. Bismut in [8] introduces stochastic methods based on Feynman-Kac formula. For probabi...

M ost cells in the body are solo entities, self-contained within a cell membrane. But there are certain cases in which cells meld together. Skeletal muscle cells, for example, are multinucleate syncytia that form through the process of cell–cell fusion. Osteo-clasts, a type of cell involved in bone remodeling, also fuse together to promote better bone resorption. And you would not be reading th...

on S for n ≥ 3. In the case R is rotationally symmetric, the well-known Kazdan-Warner condition implies that a necessary condition for (1) to have a solution is: R > 0 somewhere and R′(r) changes signs. Then, (a) is this a sufficient condition? (b) If not, what are the necessary and sufficient conditions? These have been open problems for decades. In Chen & Li, 1995, we gave question (a) a nega...

Since 2016, KIB (Kunming Institute of Botany) and CPC (Centre for Plant Conservation of Vietnam) have conducted several surveys in the transboundary karst regions in Northern Vietnam and Southern China and seven new species in the genus Begonia Linn. (Begoniaceae) are firstly described. Amongst them, two species, Begonia albopunctata Y.M. Shui, W.H. Chen & H.Q. Nguyen and B. erectocarpa H.Q. Ng...