Diastereoselective synthesis of dihydroindolizin-3(2H)-one derivatives via catalytic sulfur-Michael addition triggered intramolecular tandem sequence

A diastereoselective synthesis of functionalized dihydroindolizidine derivatives bearing sulfur moiety was reported with high stereoselectivity via a catalytic sulfur-Michael addition triggered intramolecular aldol-type tandem sequence. This protocol allowed to readily access trans- and cis-dihydroindolizidine products in high yields with moderate to excellent diastereoselectivities under the optimized mild reaction conditions, which also can be easily transformed into various substituted functionalized pyridines incorporating β-quaternary carbon centers.     

The Norton–Simon hypothesis and the onset of non-genetic resistance to chemotherapy induced by stochastic fluctuations

By studying a simple but realistic biophysical model of tumor growth in the presence of a constant continuous chemotherapy, we show that if an extended Norton–Simon hypothesis holds, the system may have multiple equilibria. Thus, the stochastic bounded fluctuations that affect both the tumor carrying capacity and/or the drug pharmacodynamics (and/or the drug pharmacokinetics) may cause the transition from a small equilibrium to a far larger one, not compatible with the life of the host. In particular, we mainly investigated the effects of fluctuations that involve parameters nonlinearly affecting the deterministic model. We propose to frame the above phenomena as a new and non-genetic kind of resistance to chemotherapy.     

Applications of Floquet–Magnus expansion,average Hamiltonian theory and Fer expansion to study interactions in solid state NMR when irradiated with the magic-echo sequence

This work presents the possibility of applying the Floquet–Magnus expansion and the Fer expansion approaches to the most useful interactions known in solid-state nuclear magnetic resonance using the magic-echo scheme. The results of the effective Hamiltonians of these theories and average Hamiltonian theory are presented.     

低场核磁共振仪器振铃抑制新方法及其电路实现

加快天线残余能量释放以减弱天线振铃信号有利于缩短低场核磁共振仪器的回波间隔（TE）,从而提高快弛豫组分的测量分辨率和信噪比（SNR）．而天线Q值对能量的发射效率和泄放速度起着相反的作用．为此,我们首先设计了一种新型Q转换电路,在保证发射效率的同时,可以大大缩短能量泄放时间．在此基础上,应用了一种优化的脉冲序列以弥补传统相位交替对脉冲序列（PAPs）不能消除90°脉冲振铃的缺陷,通过相位循环的方法进一步提高了信噪比．最后,在2 MHz岩心分析仪上测试了新型Q转换电路,当天线Q值降为发射期间的约1/5时,天线恢复时间由280.0 μs降为18.2 μs;而且,使用新型Q转换电路和优化的脉冲序列后,TE=60 μs时,可以有效获得快弛豫组分的T₂信号．     

On a problem of Mariusz Meszka

We consider a problem due to Mariusz Meszka similar to the well-known conjecture of Marco Buratti. Does there exist a near-1-factor in the complete graph on _Zp$Z_p$, p$p$ is an odd prime, whose set of edge-lengths equals a given multiset L$L$? We establish several sufficient conditions for the answer to be yes.     

Extensions and traces of functions of bounded variation on metric spaces

In the setting of a metric space equipped with a doubling measure and supporting a Poincaré inequality, and based on results by Björn and Shanmugalingam (2007) [7], we show that functions of bounded variation can be extended from any bounded uniform domain to the whole space. Closely related to extensions is the concept of boundary traces, which have previously been studied by Hakkarainen et al. (2014) [17]. On spaces that satisfy a suitable locality condition for sets of finite perimeter, we establish some basic results for the traces of functions of bounded variation. Our analysis of traces also produces novel pointwise results on the behavior of functions of bounded variation in their jump sets.     

交替寻优生成元素幅值结合混沌随机相位构造循环测量矩阵

循环矩阵由于其对应离散卷积且具有快速算法被广泛应用于压缩测量矩阵. 本文从循环测量矩阵生成元素的幅值和相位两个方面探索循环测量矩阵的优化构造, 提出交替寻优生成元素的幅值并结合混沌随机相位实现循环测量矩阵的最优构造. 由一维和二维信号循环测量矩阵的不同表示形式出发, 将等价字典列向量之间互相干系数的Welch界作为逼近目标, 推导出了一维和二维信号循环测量矩阵生成元素幅值优化的统一数学模型, 提出采用交替寻优方法求解生成元素幅值的最优解. 利用混沌序列构造循环测量矩阵生成元素的随机相位. 与已有的典型循环测量矩阵相比, 本文优化构造的循环测量矩阵所对应的等价字典列向量之间具有更低的互相干性, 这正是所构造的循环测量矩阵优越性的本质所在.     

Sequence‐Controlled Polymers via Simultaneous Living Anionic Copolymerization of Competing Monomers

Natural macromolecules, i.e., sequence‐controlled polymers, build the basis for life. In synthetic macromolecular chemistry, reliable tools for the formation of sequence‐controlled macromolecules are rare. A robust and efficient chain‐growth approach based on the simultaneous living anionic polymerization of sulfonamide‐activated aziridines for sequence control of up to five competing monomers resulting in gradient copolymers is presented. The simultaneous azaanionic copolymerization is monitored by real‐time ¹H NMR spectroscopy for each monomer at any time during the reaction. The monomer sequence can be adjusted by the monomer reactivity, depending on the electron‐withdrawing effect by the sulfonamide (nosyl‐, brosyl‐, tosyl‐, mesyl‐, busyl) groups. This method offers unique opportunities for sequence control by competing copolymerization: a step forward to well‐engineered synthetic polymers with defined microstructures.