Oligocarbamate molecular transporters: design,synthesis, and biological evaluation of a new class of transporters for drug delivery

Molecular transporters have the ability to deliver drugs and probe molecules into cells and tissues irrespective of their physical properties. We now report the design, synthesis, and biological evaluation of a new family of molecular transporters, guanidinylated oligocarbamates that enable exceptionally efficient uptake into cells and tissues. The synthesis features a solid-phase stepwise oligomerization to obtain the oligocarbamates and a single step perguanidinylation for the facile introduction of up to nine guanidinium groups. The oligocarbamate 9-mer is found to be among the most efficient transporters known, entering cells faster than even d-Arg9 and HIV-1 Tat49-57. Significantly, this new family of transporters also enables uptake into the formidable skin barrier of a probe molecule that by itself does not penetrate skin.     

Releasable luciferin-transporter conjugates: tools for the real-time analysis of cellular uptake and release

The design, synthesis, and evaluation of conjugates of arginine-rich transporters and luciferin are described that release luciferin only after entry into cells that are stably transfected with luciferase. Each molecule of free luciferin that is released after entry generates a photon that can be measured allowing for real-time quantification of uptake and release in cells. The process provides a method to assay uptake and release of free luciferin as a function of variations in the releasable linker and in the transporter.     

Role of membrane potential and hydrogen bonding in the mechanism of translocation of guanidinium-rich peptides into cells

The results described herein support a mechanistic hypothesis for how guanidine-rich transporters attached to small cargos (MW ca. <3000) can migrate across the lipid membrane of a cell and directly enter the cytosol. Arginine oligomers are found to partition almost completely into the aqueous layer of a water-octanol bilayer. However, when the same partitioning experiment is conducted in the presence of sodium laurate, a representative negatively charged membrane constituent, the arginine oligomer partitions almost completely (>95%) into the octanol layer. In contrast, ornithine oligomers partition almost exclusively into the water layer with and without added sodium laurate. The different partitioning between guanidinium-rich and ammonium-rich oligomers in the presence of sodium laurate is consistent with the ability of the former to form a bidentate hydrogen bonded ion pair. Mono- and dimethylated arginine oligomers, which like ornithine can only efficiently form monodentate hydrogen bonds, were prepared and found to exhibit poor cellular uptake. Ion pair formation converts a once water-soluble agent to a lipid-soluble agent, thereby reducing the energetic penalty for passage of guanidine-rich transporters through the lipid bilayer. Uptake of guanidine-rich transporters is known to be an energy-dependent process, and this requirement for cellular ATP is now rationalized by the inhibition of guanidine-rich transporter uptake in the presence of agents that reduce the membrane potential. Specifically, incubation of cells in buffers with high potassium ion concentrations or pretreatment of cells with gramicidin A reduces the cellular uptake of Fl-aca-arg8-CONH2 by >90%. Furthermore, the reciprocal experiment of hyperpolarizing the cell with valinomycin increased uptake by >1.5 times. In summary, we propose that the water-soluble, positively charged guanidinium headgroups of the transporter form bidentate hydrogen bonds with H-bond acceptor functionality on the cell surface. The resultant ion pair complexes partition into the lipid bilayer and migrate across at a rate related to the membrane potential. The complex dissociates on the inner leaf of the membrane, and the transporter enters the cytosol. This hypothesis does not preclude uptake by other mechanisms, including endocytosis, which is likely to dominate with large cargos.     

Guanidinium rich peptide transporters and drug delivery

The use of peptide or peptidomimetic transporters to enable or enhance the uptake of drugs or probe molecules into cells and tissues has received increasing research attention and clinical interest over the past 10 years. This review summarizes a class of transporters that have been studied and focuses on the variation and use of guanidinium based transporters to facilitate the uptake of various types of molecules into cells and tissues. Lead conjugates in this area are currently in clinical trials.     

Simple Zeros of the Riemann Zeta-Function

Assuming the Riemann Hypothesis, Montgomery showed by meansof his pair correlation method that at least two-thirds of thezeros of Riemann's zeta-function are simple. Later he and Taylorimproved this to 67.25 percent and, more recently, Cheer andGoldston increased the percentage to 67.2753. Here we proveby a new method that if the Riemann and Generalized LindelöofHypotheses hold, then at least 70.3704 percent of the zerosare simple and at least 84.5679 percent are distinct. Our methoduses mean value estimates for various functions defined by Dirichletseries sampled at the zeros of the Riemann zeta-function. 1991Mathematics Subject Classification: 11M26.     

Existence and Uniqueness of Fixed Points for Markov Operators and Markov Processes

This paper concerns a Markov operator T on a space L₁, and aMarkov process P which defines a Markov operator on a spaceM of finite signed measures. For T, the paper presents necessaryand sufficient conditions for:

a the existence of invariant probabilitydensities (IPDs)

b the existence of strictly positive IPDs,and

c the existence and uniqueness of IPDs.

Similar resultson invariant probability measures for P are presented. The basicapproach is to pose a fixed-point problem as the problem ofsolving a certain linear equation in a suitable Banach space,and then obtain necessary and sufficient conditions for thisequation to have a solution. 1991 Mathematics Subject Classification:60J05, 47B65, 47N30.     

库仑加线性位基态解析解

应用新发展的单一轨迹积分方法求解库仑加线性位的基态量子波函数,得到基态能量和波函数的一般解析表达式,并讨论了解的收敛性.应用此方法讨论了重夸克偶素系统.