加权无标度网络中的疾病传播

提出具有加权传播率和非线性传染能力的SIR模型和SIS模型,通过平均场方法证明了这两个模型在加权无标度网络中可以存在非零的传播阈值,从而传播率需要跨越更大的传播阈值才能流行.并且得到的结果在特殊情况下可退化为已有的一些经典结论.     

表面粗糙度对玻璃钢材料放气速率影响的试验研究

设计了一套基于压差流量法的试验装置来测量不同表面粗糙度玻璃钢试样的放气速率;采用两种砂纸(100#和500#)打磨而得到两种不同表面粗糙度玻璃钢试样;采用扫描探针显微镜对试样表面粗糙度进行测量,测量了不同表面粗糙度试样在不同温度下的放气速率。试验结果表明:测量室温度越高,玻璃钢试样的放气速率越大;试样的表面粗糙度越大,其放气速率越大。     

血清钙、镁和微量元素与冠心病

综述了钙、镁和微量元素在动脉粥样硬化、冠心病(包括冠状动脉痉挛)研究的相关报道,以进一步研究钙、镁和微量元素与冠状动脉痉挛的关系。     

Different Epidemic Models on Complex Networks

Models for diseases spreading are not just limited to SIS or SIR. For instance, for the spreading of AIDS/HIV, the susceptible individuals can be classified into different cases according to their immunity, and similarly, the infected individuals can be sorted into different classes according to their infectivity. Moreover, some diseases may develop through several stages. Many authors have shown that the individuals＇ relation can be viewed as a complex network. So in this paper, in order to better explain the dynamical behavior of epidemics, we consider different epidemic models on complex networks, and obtain the epidemic threshold for each ease. Finally, we present numerical simulations for each case to verify our results.     

New Wavelet Bases and Isometric Between Symbolic Operators Spaces $$ {\text{OP}}S^{m}_{{1,\delta }} $$ and Kernel Distributions Spaces

In the fifties, Calderón established a formal relation between symbol and kernel distribution, but it is difficult to establish an intrinsic relation. The Calderón-Zygmund (C-Z) school studied the C-Z operators, and Hörmander, Kohn and Nirenberg, et al. studied the symbolic operators. Here we apply a refinement of the Littlewood-Paley (L-P) decomposition, analyse under new wavelet bases, to characterize both symbolic operators spaces \({\text{OP}}S^{m}_{{1,\delta }} \) and kernel distributions spaces with other spaces composed of some almost diagonal matrices, then get an isometric between \({\text{OP}}S^{m}_{{1,\delta }} \) and kernel distribution spaces     

A new proof of Korzhik's result on burst distributions

We obtain a simple derivation of Korzhik's result on the burst distribution of a linear code.     

Gehinderte ligandenbewegungen in übergangsmetallkomplexen : V. 1H-NMR-untersuchung der bewegungen des olefinliganden in cyclopentadienyl-mangan-dicarbonyl-tetramethoxyäthylen

The methoxy signals in the ¹H NMR spectrum of cyclopentadienylmanganese dicarbonyl tetramethoxyethylene, C₅H₅Mn(CO)₂[C₂(OCH₃)₄], show a definite temperature-dependence. In CS₂ solution the variations of the signals are observed within a single temperature range, while in toluene-d₈ two regions of change are found to exist. These data are explained on the basis of two mutually independent ligand movements: a hindered rotation of the olefin ligand around the metalligand bond (ΔG³₁₉₄ = 9.8 ± 0.6 kcal/mol), and a hindered movement of the four methoxy groups (ΔG³₂₆₃ = 13.8 ± 0.3 kcal/mol, both in toluene-d₈. Chiral conformations of the ligand are assumed to be formed when the movement of the methoxy substituents ceases.     

A Biokinetic Model to Describe Consequences of Inhibition/Stimulation in <Emphasis Type="Italic">DNA</Emphasis>-Proofreading and -Repair,Part 4

Summary. In previous papers a strongly simplified physical-mathematical (biokinetic) model has been presented, which dealt with the factors influencing the timely development of DNA mismatches dependent cells (malignant cells) in their kinetic competition to the development of normal somatic cells (i.e. cells with correct genetic information). The kinetic results have been studied by comparing them with experimental results reported in the literature upon inhibiting the organisms own enzymatic DNA-proofreading and repair machinery. In spite of the fact that the model uses fully the chances of kinetics, which allows to describe even rather complicated systems with many regulation circuits and feed back loops in a rather simple, summarizing way, it has been demonstrated that the model does not only well describe the experimentally found significant increases of mutants in cases when the DNA repair system has been inhibited, but it can also reflect cancer-development and the efficacy of classical cancer therapies like surgery or chemotherapy as well.In applying the predictions of the model as to the opposite of an inhibition of the DNA repair system, i.e., in testing the results, if the organisms own repair systems were stimulated, the model shows that there could be a chance for a new, adjuvant cancer-therapy if this concept was combined with biochemical facts and clinical findings which are reported in the literature.In continuation of this concept, the predictions of the model have been compared with findings upon cancer-therapies by apoptosis-triggerers like tamoxifen. Further, according to the fact that there exists literature by which it is demonstrated by clinical facts that it is not necessary to use living cells (e.g. from umbilical cords blood or bone-marrow) to achieve surprising therapeutic successes in cancer therapy, but also cell-free human-placenta-extracts (HPEs) can be similarily effective, it has been tried in a first preliminary analytical effort to characterize effector-substances contained therein.Received January 27, 2003; accepted (revised) March 25, 2003 Published online August 18, 2003     

Magnetic resonance imaging of coronary arteries and heart valves in a living mouse: techniques and preliminary results

New investigations in MRI of a mouse heart showed high-contrast cardiac images and thereby the possibility of doing functional cardiac studies of in vivo mice. But is MRI, in addition, capable of visualizing microstructures such as the coronary arteries and the heart valves of a living mouse? To answer this question, 2D and 3D gradient echo sequences with and without flow compensation were used to image the coronary arteries. To increase signal-to-noise ratio, a birdcage resonator was optimized for mouse heart imaging. Contrast between blood and myocardium was achieved through the inflow effect. A segmented three-dimensional FLASH sequence acquired with a multiple overlap thin slab technique showed the best results. With this technique an isotropic resolution of 100 microm was achieved. The left coronary artery could be visualized up to the apex of the heart. This is demonstrated with short axis views and 3D surface reconstructions of the mouse heart. The four cardiac valves were also visible with the 3D method.