On the eigenvalues of a specially rank-r updated complex matrix

AbstractIn this paper, an alternatively simpler proof to an eigenvalue theorem of a specially structured rank-r updated complex matrix is presented and also its characteristic polynomial is explicitly determined by Leverrier’s algorithm for m–D system

State‐of‐the‐Art Nonprobabilistic Finite Element Analyses

The finite element analysis of a mechanical system is conventionally performed in the context of deterministic inputs. However, uncertainties associated with material properties, geometric dimensions, subjective experiences, boundary conditions, and external loads are ubiquitous in engineering applications. The most popular techniques to handle these uncertain parameters are the probabilistic methods, in which uncertainties are modeled as random variables or stochastic processes based on a large amount of statistical information on each uncertain parameter. Nevertheless, subjective results could be obtained if insufficient information unavailable and nonprobabilistic methods can be alternatively employed, which has led to elegant procedures for the nonprobabilistic finite element analysis. In this chapter, each nonprobabilistic finite element analysis method can be decomposed as two individual parts, i.e., the core algorithm and preprocessing procedure. In this context, four types of algorithms and two typical preprocessing procedures as well as their effectiveness were described in detail, based on which novel hybrid algorithms can be conceived for the specific problems and the future work in this research field can be fostered

Elementary building blocks of graphene-nanoribbon-based electronic devices

Graphene nanoribbon junction based electronic devices are proposed in this letter. Nonequilibrium Green's function calculations show that nanoribbon junctions tailored from single layer graphene with different edge shapes and widths can act as metal/semiconductor junctions and quantum dots can be implemented. In virtue of the possibilities of patterning monolayer graphene down to atomic precision, these structures, quite different from the previously reported two-dimensional bulk graphene or carbon nanotube devices, are expected to be used as the building blocks of the future nanoelectronics. © 2007 American Institute of Physics.published_or_final_versio

Viscous damping of nanobeam resonators: humidity, thermal noise and the paddling effect

The nanobeam resonator is the key mechanical component in the nano-electromechanical system. In addition to its high frequency originating from its low dimension, the performance is significantly influenced by the circumstances, especially at nanoscale where a large surface area of the material is exposed. Molecular dynamics simulations and theoretical analysis are used for a quantitative prediction on the damping behavior, such as the critical damping condition and lifetime, of nanobeam resonators that directly maps the fluid-structure properties and interaction information into dynamical behaviors. We show here how the humidity defines the critical damping condition through viscous forces, marking the transition from under-damping to over-damping regime at elevated humidity. Novel phenomena such as the thermal fluctuation and paddling effects are also discussed.Comment: 15 pages, 5 figure

Experimental Study of the Effects of Marrow Mesenchymal Stem Cells Transfected with Hypoxia-Inducible Factor-1α Gene

Objective. To construct the eukaryotic expression vector hypoxia-inducible factor 1α-pcDNA3.1 and to investigate its transfective efficiency into mesenchymal stem cells (MSCs) in vitro and the expression of HIF-1α gene in MSCs. Methods. mRNA of Wistar Rats' myocardial cells was extracted, and cDNA was synthesized with Reverse Transcription Kit, HIF-1α was amplified by polymerase chain reaction (PCR), and constructed into pcDNA3.1. Transfected HIF-1α-pcDNA3.1 into MSCs by liposome mediated method. The expression of HIF-1α in the cells was detected by Western Blot Analysis and ELISA. Results. Eukaryotic expression vector HIF-1α-pcDNA3.1 was constructed successfully. Analyzed by flow cytometer, The MSCs' surfaces mark were CD44+, SH3(CD73)+, CD34−, CD45− and the CD44+ cells and SH3(CD73)+ cells were 94.7% and 97.3%, respectively, showing the high purity of the cultured MSCs. After inducing, the cultured MSCs can differentiate into osteoblasts and adipocytes successfully. In HIF-1α gene transfected MSCs, the expression of HIF-1α mRNA and HIF-1α protein were both increased obviously. Conclusion. HIF-1α was cloned successfully. HIF-1α-pcDNA3.1 can be transfected into MSCs by liposome-mediated method effectively and which resulting stable expression of HIF-1α in transfected MSCs