Bin Xu

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Natural products have been used in medicine for many years. Many top-selling pharmaceuticals are natural compounds or their derivatives. These plant- or microorganism-derived compounds have shown potential as therapeutic agents against cancer, microbial infection, inflammation, and other disease conditions. However, their success in clinical trials has been(More)
Let e(x, y, λ) be the spectral function and χ λ the unit band spectral projection operator, with respect to the Laplace-Beltrami operator ∆M on a closed Riemannian manifold M. We firstly review the one-term asymptotic formula of e(x, x, λ) as λ → ∞ by Hörmander (1968) and the one of ∂ α x ∂ β y e(x, y, λ)|x=y as λ → ∞ in a geodesic normal coordinate chart(More)
Production of membrane-associated cell surface receptors and their ligands is often a cumbersome, expensive, and time-consuming process that limits detailed structural and functional characterization of this important class of proteins. Here we report a rapid method for refolding inclusion-body-based, recombinant cell surface receptors and ligands in one(More)
We consider the following nonlinear Neumann problem:      ∆u − µu + u q = 0 in Ω, u > 0 in Ω, ∂u ∂ν = 0 on ∂Ω, where Ω ⊂ R n is a smooth and bounded domain, µ > 0 and ν denotes the outward unit normal vector of Ω. Lin and Ni (1986) conjectured that when q = n+2 n−2 , for µ small, all solutions are constants. We show that this conjecture is false for(More)
Static and dynamic multiobjective topology optimization of trusses with interval parameters is investigated. The uncertain parameters of the trusses are described by an interval model. The multiobjective topology optimization model of trusses with interval parameters is constructed. On the basis of Taylor expansion and natural interval extension, the stress(More)