71 research outputs found
Mathematical analysis of the dimensional scaling technique for the Schr?dinger equation with power-law potentials
No full textGenetic redundancy of senescence-associated transcription factors in Arabidopsis
No full textLeaf senescence is a genetically programmed process that constitutes the last stage of leaf development, and involves massive changes in gene expression. As a result of the intensive efforts that have been made to elucidate the molecular genetic mechanisms underlying leaf senescence, 184 genes that alter leaf senescence phenotypes when mutated or overexpressed have been identified in Arabidopsis thaliana over the past two decades. Concurrently, experimental evidence on functional redundancy within senescence-associated genes (SAGs) has increased. In this review, we focus on transcription factors that play regulatory roles in Arabidopsis leaf senescence, and describe the relationships among gene duplication, gene expression level, and senescence phenotypes. Previous findings and our re-analysis demonstrate the widespread existence of duplicate SAG pairs and a correlation between gene expression levels in duplicate genes and senescence-related phenotypic severity of the corresponding mutants. We also highlight effective and powerful tools that are available for functional analyses of redundant SAGs. We propose that the study of duplicate SAG pairs offers a unique opportunity to understand the regulation of leaf senescence and can guide the investigation of the functions of redundant SAGs via reverse genetic approaches
© The Author(s) 2017. Published by Oxford University Press on behalf of the Society for Experimental Biology. All rights reserved.1
Multiple periodic oscillations in a nonlinear suspension bridge system
No full textAbstractIn this paper, we study periodic oscillations in a suspension bridge system governed by the coupled nonlinear wave and beam equations describing oscillations in the supporting cable and roadbed under periodic external forces. By applying a variational reduction method, it is proved that the suspension bridge system has at least three periodic oscillations
Nonlinear periodic oscillations in a suspension bridge system under periodic external aerodynamic forces
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Topics on potential theory on Lipschitz domains and boundary control problems
No full textVitaMajor subject: MathematicsThe trace theorem of the Sobolev space H s(Sl) on Lipschitz domain ti has not been proved completely before. In chapter II, a proof of trace theorem for the range f is first given. In Chapter III, the regularities of S in L p and the relations between ( ���� | / + /C) -1 and ( ���� | I + ���� * ) -1 are obtained. Furtherm ore, new regularities of 1C and 1C* on sm ooth domains in aft3 are found, which reveal that 5, rC and JC* have the same regularities on smooth boundaries. In C hapter IV, a new approach based on the potential theory and variational m ethod is proposed to study the linear quadratic regulator problems (LQR) governed by the elliptic equation on Lipschitz domains with point observations on boundary. The LQR problems with or without control constraints are completely solved in this work. The regularities of optim al controls and states and the explicit expressions of optimal controls are derived. The singularities in optim al controls are displayed explicitely through decomposition formulas. Finally in C hapter V, a gradient-truncation m ethod and an iterative truncation m ethod have been developed to com pute optimal controls of (LQR) problems. The test problems show th at both m ethods are insensitive to the partition of boundary. It is found th a t the classical Lagrangian m ultiplier method may fail to provide reliable numerical algorithm on our (LQR) problems
Analysis and algorithms for the computation of the excited states of helium
No full textAbstractIn this paper, we study a dimensionally scaled helium atom model for excited states of helium. The mathematical analysis of the corresponding effective energy potential is presented. Two simple numerical algorithms are developed for the computation of the excited states of helium. Comparison between our numerical results and those in the existing literature is given to indicate the accuracy and efficiency of the proposed algorithms
Solution Behavior of the Transient Heat Transfer Problem in Thermoelectric Shape Memory Alloy Actuators
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Modeling of thermoelectric heat transfer in shape memory alloy actuators: Transient and multiple cycle solutions
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