Polyurethane vascular prostheses in pigs

Microporous, compliant vascular prostheses made from segmented polyurethanes of various molecular stability, have been implanted in the infrarenal aorta of young pigs. Prostheses prepared from a hydrolytically suble polyetherurethane showed a limited patency up to 1 month. Composite prostheses with the wall made from a hydrolytically stable polyurethane and the lumen side prepared from a degradable polyurethane, were patent up to one year. A degradable layer of this composite prosthesis induced the growth of a neo-artery. Prostheses prepared from a degradable polyurethane alone, were substituted within 4 months with a functional neo-artery.Presented in part at the 17th International Biomaterials Symposium, San Diego, California, April 1985.     

Global stability for a class of mass action systems allowing for latency in tuberculosis

A very general compartmental model of the spread of an infectious disease with mass action incidence is given. The global stability of this system is completely determined using Lyapunov functions. The general system exhibits the traditional threshold behaviour. The dimension of the system is arbitrary, allowing, in particular, for detailed modelling of the distribution of latency times for tuberculosis.     

Inequalities for formal power series and entire functions

We present several integral and exponential inequalities for formal power series and for both arbitrary entire functions of exponential type and generalized Borel transforms. They are obtained through certain limit procedures which involve the multiparameter binomial inequalities, integral inequalities for continuous functions, and weighted norm inequalities for analytic functions. Some applications to the confluent hypergeometric functions, Bessel functions, Laguerre polynomials, and trigonometric functions are discussed. Also some generalizations are given.     

Solubility of copper (I) bromide in aqueous solutions of potassium bromide

The solubilities of cuprous bromide were measured at 24.8°C in aqueous KBr and in aqueous KBr-KNO₃ mixtures. The results have been analyzed to give equilibrium constanns from formation of neutral and negatively charged complexes of CuBr, and sets of virial parameters suitable for calculation of activity coefficients for the complexes.     

A contribution to the global formulation of the higher-order Poincaré-Cartan form

The global formulation of the higher-order Poincaré-Cartan form for Lagrangian field theories in the calculus of variations is re-examined in terms of the theory of lifts of tensor fields on a manifold to its higher-order prolongated jet bundles.Partially supported by CNPq, Brazil, Proc. MA 30.1115/79.     

随机变量序列函数的几乎处处中心极限定理

该文证明了随机元序列的一个一般的几乎处处中心极限定理, 并把这一结论应用于随机变量序列的函数.     

Global stability of a three-dimensional bio-reactor with inhibition responses

A three-dimensional bio-reactor model of exploitative competition of two predator organisms with inhibition responses for the same renewable organism with reproductive properties is considered. By constructing a modified Lyapunov function and using LaSalle’s invariant principle, it is shown that the lower “break-even” concentration predator organism survives in the competition.      

具有变时滞的离散双向联想记忆神经网络的全局指数稳定性

利用Lyapunov函数和线性矩阵不等式(LMI),给出了判定一类双向联想记忆(BAM)神经网络模型的指数稳定的充分性条件.该条件去掉了以往论文中所要求的激活函数单调,可微分的条件,而且所得结果利用里的工具易于检测.并举例说明本文结果的有效性.     

紧支撑Gabor框架的稳定性

1引言自Duffin和Schaeffer提出了框架理论以来,框架理论在数学和信息科学等领域占有非常重要的地位,在小波分析和时频分析中起着举足轻重的作用.现在Gabor框架系统被广泛地应用在信息论,量子力学,信号处理和图象处理等方面.Gabor框架的稳定性是应用中所需要的,同时也是人们关心的问题.但是,一直以来对Gabor框架的稳定性的研究主要集中在L~2(R)上,即使在L~2(R~d)上的研究也主要针对单项指标扰动进行了研究.本文借助于文[2]中的定理3和定理4,文[3]中的定理2和文[5]中的定理2.1,分别对L~2(R~d)上紧支撑Gabor框架的窗函数、平移指标、旋转指标以及多项混合扰动的稳定性进行了讨论.     

Note on Left Invariant Almost Cosymplectic Structures

Periodica Mathematica Hungarica -