Modeling a seeded continuous crystallizer for the production of active pharmaceutical ingredients

The approximation of a well mixed reactor is prevalent when it comes to the modeling of a crystallization process. Since temperature, concentration, and mass content vary due to inhomogeneous mixing, this approximation is a very loose one. The continuously operated seeded tubular crystallizer system developed in our group overcomes obstacles like a slow response to changes in the outer parameters and inhomogeneous mixing. Therefore the applicable well mixed assumption facilitates detailed modeling of the crystallization process by means of population balance equations (PBE) coupled with mass and energy balances. Modeled results were validated by means of experiments. The amount of aggregation events during the crystallization could be quantified and it was proven that the growth of seeded crystals is almost exclusively responsible for solid mass uptake if the reactor is operated appropriately. The performed sensitivity analysis exposed which process settings should be maintained most accurately to avoid fluctuations in the product crystals’ quality attributes and to limit undesired nucleation events.     

Risk aggregation and stochastic claims reserving in disability insurance

We consider a large, homogeneous portfolio of life or disability annuity policies. The policies are assumed to be independent conditional on an external stochastic process representing the economic–demographic environment. Using a conditional law of large numbers, we establish the connection between claims reserving and risk aggregation for large portfolios. Further, we derive a partial differential equation for moments of present values. Moreover, we show how statistical multi-factor intensity models can be approximated by one-factor models, which allows for solving the PDEs very efficiently. Finally, we give a numerical example where moments of present values of disability annuities are computed using finite-difference methods and Monte Carlo simulations.     

Undulated Multicompartment Cylinders by the Controlled and Directed Stacking of Polymer Micelles with a Compartmentalized Corona

Like a bamboo rod : Long, bamboo‐like undulated cylinders with distinct branch points and end groups (see picture) were obtained by the stacking of block terpolymer micelles that contain a fluorinated polybutadiene core and a compartmentalized corona of poly(4‐tert‐butoxystyrene) and poly(tert‐butyl methacrylate). Stacking of the polymer micelles, which can be reversed, occurred when the solvent was changed from dioxane to ethanol.

     

In vitro amyloid Aβ<Subscript>1-42</Subscript> peptide aggregation monitoring by asymmetrical flow field-flow fractionation with multi-angle light scattering detection

Self-assembly of the 42-amino-acid-long amyloid peptide Aβ_1-42 into insoluble fibrillar deposits in the brain is a crucial event in the pathogenesis of Alzheimer's disease. The fibril deposition occurs through an aggregation process during which transient and metastable oligomeric intermediates are intrinsically difficult to be accurately monitored and characterised. In this work, the time-dependent Aβ_1-42 aggregation pattern is studied by asymmetrical flow field-flow fractionation with on-line multi-angle light scattering detection. This technique allows separating and obtaining information on the molar mass (M _r) and size distribution of both the early-forming soluble aggregates and the late prefibrillar and fibrillar species, the latter having very high M _r. Preliminary results demonstrate that unique information on the dynamic aggregation process can be obtained, namely on the M _r and size of the forming aggregates as well as on their formation kinetics. Electronic supplementary material  The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Synthesis,Crystal Structure,and Photophysical Properties of (1E,3E,5E)‐1,3,4,6‐Tetraarylhexa‐1,3,5‐trienes: A New Class of Fluorophores Exhibiting Aggregation‐Induced Emission

Double Horner–Wadsworth–Emmons reaction of (E)‐2,3‐diaryl‐1,4‐bis(diethylphosphonyl)but‐2‐ene with (p‐substituted) benzaldehydes gave (1E,3E,5E)‐1,3,4,6‐tetraarylhexa‐1,3,5‐trienes in moderate to good yields. Substitution of electron‐withdrawing or ‐donating groups at the para position of the 1,6‐diphenyl groups induced a slight bathochromic shift of UV spectra measured in CHCl₃ compared with that of the parent 1,3,4,6‐tetraphenylhexa‐1,3,5‐triene. Although fluorescence was not observed with all the trienes in CHCl₃, they markedly emitted visible light in powder forms with quantum yields of 0.15–0.44. Introduction of amino groups at the para position of the 3,4‐diphenyl groups induced a bathochromic shift of emission maxima with good solid‐state quantum yields. Thus, the tetraarylated triene framework is found to serve as a new class of fluorophores that exhibit aggregation‐induced emission.     

Organization of nucleobase‐functionalized β‐peptides investigated by soft electrospray ionization mass spectrometry

The development and validation of analytical methods is a key to succeed in investigating noncovalent interactions between biomolecules or between small molecules and biomolecules. Electrospray ionization mass spectrometry (ESI‐MS) was applied with a Fourier transform ion cyclotron resonance mass spectrometer (FTICR‐MS) as well as a quadrupole/time‐of‐flight tandem mass spectrometer (QqToF‐MS) for a systematic investigation of noncovalent complexes based on nucleobase pairing in an artificial and noncharged backbone topology. Synthetical β‐peptide helices covalently modified with nucleobases were organized by recognition of a sequence of four nucleobases. Specific duplexes of β‐peptide helices were obtained on the basis of hydrogen bonding base pair complementarity. Oligomer interactions were detected with defined stoichiometry and sensitivity for the respective duplex stability. FTICR‐MS and QqToF‐MS were used equally well to indicate double strand stabilities in agreement with the dissociation data determined by UV spectroscopy. Furthermore, the dissociation energies of gas phase ions of the noncovalent complexes were analyzed with collision induced dissociation (CID)‐MS/MS and infrared multiphoton dissociation (IRMPD)‐MS/MS. The CID conditions turned out to be too harsh for a differentiation of the duplex stabilities, whereas IRMPD might be developed as a technique to detect even small interaction energy differences. Copyright © 2009 John Wiley & Sons, Ltd.     

On the complexity of crossings in permutations

We investigate crossing minimization problems for a set of permutations, where a crossing expresses a disarrangement between elements. The goal is a common permutation π^∗ which minimizes the number of crossings. In voting and social science theory this is known as the Kemeny optimal aggregation problem minimizing the Kendall-τ distance. This rank aggregation problem can be phrased as a one-sided two-layer crossing minimization problem for a series of bipartite graphs or for an edge coloured bipartite graph, where crossings are counted only for monochromatic edges. We contribute the max version of the crossing minimization problem, which attempts to minimize the discrimination against any permutation. As our results, we correct the construction from [C. Dwork, R. Kumar, M. Noar, D. Sivakumar, Rank aggregation methods for the Web, Proc. WWW10 (2001) 613-622] and prove the NP-hardness of the common crossing minimization problem for k=4 permutations. Then we establish a 2−2/k-approximation, improving the previous factor of 2. The max version is shown NP-hard for every k≥4, and there is a 2-approximation. Both approximations are optimal, if the common permutation is selected from the given ones. For two permutations crossing minimization is solved by inspecting the drawings, whereas it remains open for three permutations.     

Non‐covalent Versus Covalent Control of Self‐Assembly and Chirality of Nile Red‐modified Nucleoside and DNA

A DNA‐based covalent versus a non‐covalent approach is demonstrated to control the optical, chirooptical and higher order structures of Nile red ( Nr ) aggregation. Dynamic light scattering and TEM studies revealed that in aqueous media Nr ‐modified 2′‐deoxyuridine aggregates through the co‐operative effect of various non‐covalent interactions including the hydrogen bonding ability of the nucleoside and sugar moieties and the π‐stacking tendency of the highly hydrophobic dye. This results in the formation of optically active nanovesicles. A left‐handed helically twisted H‐type packing of the dye is observed in the bilayer of the vesicle as evidenced from the optical and chirooptical studies. On the other hand, a left‐handed helically twisted J‐type packing in vesicles was obtained from a non‐polar solvent (toluene). Even though the primary stacking interaction of the dye aggregates transformed from H→J while going from aqueous to non‐polar media, the induced supramolecular chirality of the aggregates remained the same (left‐handed). Circular dichroism studies of DNA that contained several synthetically incorporated and covalently attached Nr ‐modified nucleosides revealed the formation of helically stacked H‐aggregates of Nr but—in comparison to the noncovalent aggregates—an inversed chirality (right‐handed). This self‐assembly propensity difference can, in principle, be applied to other hydrophobic dyes and chromophores and thus open a DNA‐based approach to modulate the primary stacking interactions and supramolecular chirality of dye aggregates.     

Tau蛋白介导阿尔兹海默病的机理及相关药物

阿尔兹海默症是一种以智力缓慢丧失为特征的神经退行性疾病,主要病理特征之一为神经细胞内出现大量神经纤维缠结.神经纤维缠结的主要成分为异常磷酸化的Tau蛋白,研究Tau蛋白的结构和功能以及神经纤维缠结形成的分子机制具有重要的生理意义.Tau和Aβ是阿尔兹海默病药物开发的两个重要靶点,随着近期一些以Aβ为靶点的药物临床研究宣告失败,越来越多的研究组已经开始考虑改变研发阿尔兹海默病药物的策略,并开始转向以Tau为靶点的药物开发.本文综述了Tau介导阿尔兹海默病的机理及相关药物的研究进展.