Growth cone response to ephrin gradients produced by microfluidic networks

A microfluidic network (μFN) etched into a silicon wafer was used to deliver protein solutions containing different concentrations of the axonal guidance molecule ephrinA5 onto a silicone stamp. In a subsequent microcontact printing (μCP) step, the protein was transferred onto a polystyrene culture dish. In this way, stepwise substrate-bound concentration gradients of ephrinA5 were fabricated spanning a total distance of 320 μm. We tested the response of chick retinal ganglion cell (RGC) axons, which are guided in vivo by ephrin gradients, to these in vitro gradients. Temporal, but not nasal axons stop at a distinct zone in the gradient, which is covered with a certain surface density of substrate-bound ephrinA5. Within the temporal RGC population, all axons respond uniformly to the gradients tested. The position of the stop zone depends on the slope of the gradient with axons growing further into the gradient in shallow gradients than in steep gradients. However, axons stop at lower ephrinA5 concentrations in shallow gradients than in steep gradients, indicating that the growth cone can adjust its sensitivity during the detection of a concentration gradient of ephrinA5. Susanne Lang and Anne C. von Philipsborn contributed equally to this work: S.L. performed the experiments; A.P. evaluated the data and wrote the paper.     

The construction of good extensible rank-1 lattices

It has been shown by Hickernell and Niederreiter that there exist generating vectors for integration lattices which yield small integration errors for for all integers . This paper provides algorithms for the construction of generating vectors which are finitely extensible for for all integers . The proofs which show that our algorithms yield good extensible rank-1 lattices are based on a sieve principle. Particularly fast algorithms are obtained by using the fast component-by-component construction of Nuyens and Cools. Analogous results are presented for generating vectors with small weighted star discrepancy.

     

Activity of membrane proteins immobilized on surfaces as a function of packing density

A systematic study of the influence of the packing density of proteins on their activity is performed with cytochrome c oxidase (CcO) from R. sphaeroides as an example. The protein was incorporated into a protein-tethered bilayer lipid membrane and CcO was genetically engineered with a histidine-tag, attached to Subunit II, and then tethered by an interaction with functionalized thiol compounds bound to a gold electrode. The packing density was varied by diluting the functionalized thiol with a nonfunctionalized thiol that does not bind to the enzyme. After attaching the CcO to the gold surface, a lipid bilayer was formed to incorporate the tethered proteins. The reconstituted protein-lipid bilayer was characterized by surface enhanced infrared reflection absorption spectroscopy (SEIRAS), electrochemical impedance spectroscopy, surface plasmon resonance, and atomic force microscopy. The activity of the proteins within the reconstituted bilayer was probed by direct electrochemical electron injection and was shown to be very sensitive to the packing density of protein molecules. At low surface density of CcO, the bilayer did not effectively form, and protein aggregates were observed, whereas at very high surface density, very little lipid is able to intrude between the closely packed proteins. In both of these cases, redox activity, measured by the efficiency to accept electrons, is low. Redox activity of the enzyme is preserved in the biomimetic structure but only at a moderate surface coverage in which a continuous lipid bilayer is present and the proteins are not forced to aggregate. Electrostatic and other interaction forces between protein molecules are held responsible for these effects.     

Rational design of iron catalysts for C–X bond activation

We have quantum chemically studied the iron-mediated C X bond activation (X = H, Cl, CH₃) by d⁸-FeL₄ complexes using relativistic density functional theory at ZORA-OPBE/TZ2P. We find that by either modulating the electronic effects of a generic iron-catalyst by a set of ligands, that is, CO, BF, PH₃, BN(CH₃)₂, or by manipulating structural effects through the introduction of bidentate ligands, that is, PH₂(CH₂)_nPH₂ with n = 6–1, one can significantly decrease the reaction barrier for the C X bond activation. The combination of both tuning handles causes a decrease of the C H activation barrier from 10.4 to 4.6 kcal mol⁻¹. Our activation strain and Kohn-Sham molecular orbital analyses reveal that the electronic tuning works via optimizing the catalyst–substrate interaction by introducing a strong second backdonation interaction (i.e., “ligand-assisted” interaction), while the mechanism for structural tuning is mainly caused by the reduction of the required activation strain because of the pre-distortion of the catalyst. In all, we present design principles for iron-based catalysts that mimic the favorable behavior of their well-known palladium analogs in the bond-activation step of cross-coupling reactions.     

Entropy‐Driven Selectivity for Chain Scission: Where Macromolecules Cleave

We show that, all other conditions being equal, bond cleavage in the middle of molecules is entropically much more favored than bond cleavage at the end. Multiple experimental and theoretical approaches have been used to study the selectivity for bond cleavage or dissociation in the middle versus the end of both covalent and supramolecular adducts and the extensive implications for other fields of chemistry including, e.g., chain transfer, polymer degradation, and control agent addition are discussed. The observed effects, which are a consequence of the underlying entropic factors, were predicted on the basis of simple theoretical models and demonstrated via high‐temperature (HT) NMR spectroscopy of self‐assembled supramolecular diblock systems as well as temperature‐dependent size‐exclusion chromatography (TD SEC) of covalently bonded Diels–Alder step‐growth polymers.     

Kinetically Controlled Sequential Growth of Surface‐Grafted Chiral Supramolecular Copolymers

We report a facile strategy to grow supramolecular copolymers on Au surfaces by successively exposing a surface‐anchored monomer to solutions of oppositely charged peptide comonomers. Charge regulation on the active chain end of the polymer sufficiently slows down the kinetics of the self‐assembly process to produce kinetically trapped copolymers at near‐neutral pH. We thereby achieve architectural control at three levels: The β‐sheet sequences direct the polymerization away from the surface, the height of the supramolecular copolymer brushes is well‐controlled by the stepwise nature of the alternating copolymer growth, and 2D spatial resolution is realized by using micropatterned initiating monomers. The programmable nature of the resulting architectures renders this concept attractive for the development of customized biomaterials or chiral interfaces for optoelectronics and sensor applications.     

Synthese von Cadmiumnitrid Cd3N2 durch thermischen Abbau von Cadmiumazid Cd(N3)2 und Kristallstrukturbestimmung aus Röntgen‐Pulverbeugungsdaten

Synthesis of Cadmium Nitride Cd₃N₂ by Thermolysis of Cadmium Azide Cd(N₃)₂ and Crystal Structure Determination from X‐ray Powder Diffraction Data Cadmium nitride Cd₃N₂ was obtained by thermolysis of cadmium azide Cd(N₃)₂ at 2·10^?6 mbar and 210 °C. It was obtained as a black, crystalline powder which becomes brown in air due to formation of cadmium amide Cd(NH₂)₂. The crystal structure of Cd₃N₂ was determined from X‐ray powder diffraction data and refined by the Rietveld method ( , a = 10.829(9) Å, V = 1270(3) ų, Z = 16, R(F²) = 0.1196). Cd₃N₂ crystallizes in the anti‐bixbyite structure type and is isotypic to Ca₃N₂.