Evaluation of muscle degeneration in inherited muscular dystrophy by nuclear magnetic resonance techniques

Nuclear magnetic resonance (NMR) techniques were applied to study the muscular dystrophy in chicks. The water proton spin-lattice relaxation times (T₁) of fast, slow, and mixed muscles and plasma were measured. The T₁ values of dystrophic pectoralis major and posterior latissimus dorsi (PLD) were significantly higher than those of the normal pectoralis and PLD muscles. The present results establish a direct relationship between the differences in T₁ values and the severity of muscle degeneration. Consistent with this conclusion, it was also found that the T₁ values of muscles unaffected in muscular dystrophy, namely, the gastrocnemius, and anterior latissimus dorsi (ALD), were not different between the normal and dystrophic chicks. Although the affected muscles of dystrophic chicks contained higher percent water and fat than those of normal chicks, the results show that the higher T₁ values is dystrophic muscles were not solely due to variations in their water content. The increase in the T₁ values is principally a result of altered interaction between cellular water and macromolecules in the diseased muscles. These data also point out the potential use of NMR imaging in evaluating muscle degeneration.     

On the Solution of the Dirichlet Problem for an Elliptic Equation Degenerating on the Boundary

The Dirichlet problem for the equation is studied in the semi-circle . The restrictions on F are established under which the problem is uniquely solvable in the definite generalized sense.     

由多模奇偶相干态组成的第种四态叠加多模叠加态光场的等阶N次方Y压缩

本文根据量子力学中的线性叠加原理,构造了由多模复共轭奇相干态与多模复共轭偶相干态所组成的第Ⅱ种四态叠加多模叠加态光场|Ψ_o,e⁽⁴⁾Ⅱ>_q.利用多模压缩态理论,研究了态|Ψ_o,e⁽⁴⁾Ⅱ>_q的等阶N次方Y压缩特性.结果发现:1)多模叠加态光场|Ψ_o,e⁽⁴⁾Ⅱ>_q中,压缩阶数N为偶数时,只存在等阶N-Y最小测不准态;2)多模叠加态光场|Ψ_o,e⁽⁴⁾Ⅱ>_q,在压缩阶数为奇数时,随着腔模总数q、态间相位差(θ_e-θ_o)、各模初相位φ_j以及态的几率幅值r_e和r_o及平均光子数R_j²等取不同的组合定值时,可呈现以下几种状态:①等阶N-Y最小测不准态、②“半相干态”、③“半压缩态”;3)本文构造的多模叠加态|Ψ_o,e⁽⁴⁾Ⅱ>_q与文献17、18研究的多模叠加态|Ψ_o,e⁽⁴⁾Ⅰ>_q在相同的条件下呈现出完全相同的压缩特性,故态|Ψ_o,e⁽⁴⁾Ⅱ>_q与态|Ψ_o,e⁽⁴⁾Ⅰ>_q之间存在着“压缩简并”现象.     

Compositional studies of human RPE lipofuscin

Age‐related macular degeneration (AMD) is an ocular disease that causes visual loss and legal blindness in the elderly population. The etiology of AMD is complex and may include genetic predispositions, accumulation of lipofuscin and drusen, local inflammation and neovascularization. The accumulation of lipofuscin has been shown to precede the death of photoreceptor cells and the deterioration of the RPE. As a result, the determination of the photosensitive components of lipofuscin has been of major interest. One of these components, previously identified as a bis‐retinoid pyridinium compound, is referred to as A2E. A2E has been characterized by mass spectrometry and is known to have a mass of 592 Da. Most remaining chromophores in RPE lipofuscin are structurally related to A2E as determined by their fragmentation pattern with losses of M ± 190, 174 and/or 150 Da. Analysis of lipofuscin from various donors indicated that the extracts consist of as many as 15 of these hydrophobic components, which are also observed to form spontaneously in vitro over extended periods of time. These consist of ca 90% of the A2E‐like components in RPE lipofuscin and correspond to derivatized A2E with discrete molecular weights of 800–900 m/z, 970–1080 m/z and above 1200 m/z regions. It was determined that these species are formed from self‐reaction of A2E oxidation products or their reaction with A2E itself to form higher molecular weight products. The majority of modifications are much more hydrophobic than A2E and exhibit increasingly higher values of log P. This acts as a driving force for the sequestering of A2E into granules resulting in a concomitant diminution of its reactivity in vivo. Copyright © 2010 John Wiley & Sons, Ltd.     

退化的半线性反应扩散方程组解的熄灭

In this paper,the initial boundary value problem of semilinear degenerate reaction-diffusion systems is studied.The regularization method and upper and lower solutions technique are employed to show the existence and continuation of a positive classical solution.The location of quenching points is found.The critical length is estimated by the eigenvalue method.     

一类非线性热传导方程柯西问题的整体解

讨论了Rn中一类非线性热传导方程柯西问题整体解的存在惟一性.当初值φ和非线性项a(x)uβuγ满足一定条件时,利用衰减估计和能量估计相结合的方法,并由B anach不动点定理得到了整体解的存在惟一性.     

On Linear Systems of Curves on Rational Scrolls

In this paper we prove a conjecture on the dimension of linear systems, with base points of multiplicity 2 and 3, on an Hirzebruck surface.     

Cusped elastic beams under the action of stresses and concentrated forces

A dynamical problem in the (0, 0) approximation of elastic cusped prismatic beams is investigated when stresses are applied at the face surfaces and the ends of the beam. Two types of cusped ends are considered when the beam cross-section turns into either a point or a straight line segment. Correspondingly, at the cusped end either a force concentrated at the point or forces concentrated along the straight line segment is applied. We prove the exists and uniqueness theorems in appropriate weighted Sobolev spaces.     

On double degenerate quasilinear parabolic variational inequalities

We deal with the existence of weak solutions of double degenerate quasilinear parabolic inequalities with a Signorini-Dirichlet-Neumann type mixed boundary condition, which may degenerate in certain subset of the boundary or on a segment in the interior of the domain and in time. The main tools in our study are the maximM monotone property of the derivative operator with zero-initial valued conditions and the theory of pseudomonotone perturbations of maximal monotone mappings.     

Degenerations of Jordan Algebras and"Marginal"Algebras

We describe all degenerations of the variety(3)ot?3 of Jordan algebras of di-mension three over C.In particular,we describe all irreducible components in(3)ot?3.For every n we define an n-dimensional rigid"marginal"Jordan algebra of level one.Moreover,we discuss marginal algebras in associative,alternative,left alternative,non-commutative Jordan,Leibniz and anticommutative cases.