Microphase separation of graft-diblock copolymer by dissipative particle dynamics simulation

Microphase-separation behaviour of graft-diblock copolymers was investigated by the dissipative particle dynamics. Besides familiar totally ordered mesostructures, the simulated phase diagram also shows unfamiliar locally ordered mesostructures together with a few melted morphologies. The simulated order–disorder transition critical value is higher than the theoretically predicted value due mainly to the increasing fluctuation coming from finite chain length. The microphase-separation morphologies in graft-diblock copolymers shift away significantly from that of the corresponding linear ones with the same component volume fractions. Generally, it is more difficult to trigger microphase separation for graft-diblock copolymers than for their linear analogues, in good agreement with theoretical and experimental findings. The change of graft fraction has a significant effect on the microphase-separation behaviour of graft-diblock copolymers.     

Micro-phase separation and configuration of ABC triblock copolymer in ultra-thin film by Monte Carlo simulation

A Monte Carlo simulation using the bond fluctuation and cavity diffusion algorithms was adopted to investigate the micro-phase separation of ABC triblock copolymer in ultra-thin film on simple cubic lattice. Simulations reveal that the morphologies of ABC copolymer films are dependent on not only the volume fraction of the middle block B (f _B) but also on the ratio of interaction between different kinds of blocks (?_(AC)/?_(AB)). As for the molecular orientation, the copolymers stretch parallel to the flat surface at lower f _B, but tend to align perpendicularly along z direction at higher f _B. Furthermore, the chain configuration was discussed in detail. Smaller ?_(AC)/?_(AB) is beneficial to the formation of a “loop” configuration, whereas, larger ?_(AC)/?_(AB) would result in a “bridge” configuration of ABC triblock copolymer chains. The formation of micro-phase structures was illustrated intuitively by the molecular orientation and the chain configuration.     

Basic polypeptides as histone models. Synthesis, conformation, and interaction with DNA of statistical copolymers (Lys x,Ala y)n.

Statistical copolymers (Lys^x,Ala^y)_n were synthesized by copolymerization of N-carboxyanhydrides of L -amino acids. The conformation of copolymers in aqueous solutions was investigated using circular dichroism (CD). Calculations based on the CD data showed that polymers (Lys^x,Ala^y)_n can exhibit a random conformation, an α-helix, and a β-structure in various ratios. CD spectra of complexes of copolymers with DNA prepared by gradual dialysis from a high ionic strength to 0.15 M NaCl can be correlated with the copolymer conformation in medium and high ionic strength. For copolymers forming an α-helix and β-structure, these spectra show resemblance with similar spectra of complexes of those histones that are able to exhibit ordered conformations.     

On the existence of MHn species with M=Al, Ga and n=4, 5, 6. Computational study of structures, stabilities and bonding

Based on second-order perturbation theory (MP2) predictions with large 6-311++G(3df, 3pd) basis set we have reviewed the possible structures and stabilities of a series of neutral MH_n(M=Al, Ga; n=4, 5, 6) species. For AlH₄ and AlH₅, our results confirm the previous theoretical findings, which indicate the dihydrogen C_s complexes (²A′) AlH₂(H₂) and (¹A′) AlH₃(H₂), respectively, as the lowest energy isomers. We found, similarly, C_s (²A′) GaH₂(H₂) and (¹A′) GaH₃(H₂) van der Waals complexes as the most stable species of the gallium analogues GaH₄ and GaH₅. The calculated H₂ dissociation energies (D_e) for AlH₂(H₂) and AlH₃(H₂) are of the order 1.8–2.5 kcalmol¹, whereas this range of values for GaH₂(H₂) and GaH₃(H₂) is 1.4–1.8 kcalmol¹ . Symmetry-adapted perturbation theory (SAPT) was used to analyze the interaction energies of these dihydrogen complexes (for n=5) to determine why the Ga species show a smaller binding energy than the Al species. The SAPT partitioning of the interaction energy showed significant differences between AlH₃(H₂) and GaH₃(H₂), resulting from the much stronger “hydride” character of the aluminum species. The experimental observation of AlH₂(H₂) and AlH₃(H₂), and likely GaH₃(H₂), via low-temperature matrix isolation has been reported recently by Pullumbi et al. and Andrews et al., supporting the theoretical predictions. For n=6, we found the degenerate C₂(²A) and C_s(²A′) MH₂(H₂)₂ “double H₂” type van der Waals complexes as the lowest energy species for both M=Al and Ga.Electronic Supplementary Material Supplementary material is available for this article at     

Polymerization of DL-phenylalanine NCA initiated by copolymer of sarcosine and DL-phenylalanine

Polymerizations of DL -phenylalanine NCA by block copolymers of sarcosine and DL -phenylalanine, designated by (Phe)_m(Sar)n and capable of reaction at the phenylalanyl terminal, were investigated in nitrobenzene solution at 25°C. With increasing n for constant m (m = 0, 1, 2, and 5), the polymerization rate greatly increased. Previously the acceleration of the initiation reaction in the polymerization of DL -phenylalanine NCA by polysarcosine (m = 0) was reported. The present results showing the acceleration by the copolymers of sarcosine and DL -phenylalanine indicate the presence of the polymer effect in the propagation reaction as well. However, the polymer effect was most marked with polysarcosine (m = 0), and decreased with increasing m. The same polymerizations by sequential copolymers composed of ten sarcosine units and two DL -phenylalanine units were also investigated. Again with these copolymer catalysts the polymerization rate was larger than that by monomeric amines. But the polymer effect decreased sharply when the phenylalanine units take positions near the terminal amine group of the copolymer catalyst. These two deteriorating effects of the phenylalanine unit have been interpreted in terms of the decrease of the flexibility of polymer chain, caused possibly by an intramolecular hydrogen bond of the phenylalanine unit.     

Block copolymers of amino acids. I. Synthesis and structure of copolymers of L-alanine or L-phenylalanine with D,L-lysine-d7 or D,L-lysine

Water-soluble block copolymers of the type (A)_m-(B)_n-(A)_p, where (A)_m,p was either poly(D ,L -lysine-α,β,β,γ,γ,δ,δ-d₇) or poly(D ,L -lysine) and (B)_n was either poly(L -alanine) or poly(L -phenylalanine), were synthesized for conformational studies by proton magnetic resonance spectroscopy. Analytical determination of the amount of the initiator fragment (n-hexylamine) at the C-terminus of the copolymers was used to obtain the number-average degrees of polymerization, DP _n, and thereby, together with the amino acid composition, to establish the covalent structures of the polymers. The values of DP _n were found to be much lower than those deduced from sedimentation equilibrium or form viscosity measurements. These deviations, which also are thought to have arisen in similar studies reported in the literature, are attributable to intermolecular aggregation; the relation of such aggregation to covalent structure (and its effect on the polymerization reaction) is discussed in terms of the conditions and mechanism of synthesis of block copolymers of amino acids.     

Specificity of DNA-basic polypeptide interactions. III. Sequential and random copolymers of lysine and aromatic amino acids.

Sequential and random lysine copolymers containing various amounts of different aromatic amino acids were synthesized. The sequential copolypeptides exhibited strong dependence of yield and degree of polymerization on the amino acid sequence of the repeating unit. To elucidate the specific contributions of aromatic side chains to the interaction of these copolymers with DNA, direct-mixed complexes were studied by thermal denaturation and CD. The melting behaviour of peptide-bound DNA was found to be strongly affected by amino acid composition and sequence. The contribution of the different aromatic amino acids to thermal stability decreased in the order: polylysine > [Lys, Tyr]_n > [Lys,Phe]_n > [Lys,(OMe)Tyr]_n. The CD spectrum of DNA was altered by random copolymers, whereas sequential copolymers exhibited no changes. The influence of the random copolymers on the CD spectrum of DNA decreased in the series: polylysine > [Lys,Phe]_n > [Lys,(OMe)Tyr]_n > [Lys,Tyr]_n. The contribution of the different aromatic amino acids to thermal stability is interpreted as stacking tendencies toward denatured and, in the case of Tyr, H-bond formation with native DNA. The differences found for the random and the sequential polypeptides can best be explained by assuming a cooperative action of rather small peptide segments.     

Chemically reacting systems of the type A + B ⇄ AB. II. Osmometry

The osmotic pressure equation for nonideal, associating systems of the type nA +mB ? A_nB_m, has been derived, by using the assumption yA _nB _m/yA ⁿyB ^m = 1. This treatment can also be applied to related associations such as nA + mB ? AB + AB₂ + A₂B + …. From osmotic pressure experiments on the pure reactants it is possible to obtain the molecular weights (M_A and M_B) of the reactants and also the virial coefficients (B_AA and B_BB) of the reactants. The osmotic pressure of a nonreacting mixture of A and B can be calculated from these measurements. It can be used along with osmotic pressure measurements on equilibrium mixtures of A and B to obtain expressions containing the equilibrium constant (or constants) and the cross-virial coefficients (B_AB and B_BA). Several procedures are described for the evaluation of the equilibrium constant (or constants) and the B_AB or B_BA terms. It appears that this procedure is a general one which is applicable to associations of the type nA + mB ? AB + A₂B + AB₂ + …. By correcting for nonideal behavior, one should then be able to apply it to any method available for analyzing ideal associations of the types considered here. In addition it is possible, subject to certain restrictions, to analyze associations of the type 3A + B ? A₂ + AB.     

Block copolymers of amino acids. II. Physicochemical data on copolymers containing L-alanine or L-phenylalanine

The water-soluble block copolymers, whose syntheses were described in the preceding paper, were subjected to ultracentrifugation, viscosity, optical rotatory dispersion circular dichroism, fluorescence, proton magnetic resonance, and infrared measurements. Discrepancies between M _n and M _w, and line broadening in the proton magnetic resonance spectra (attributed to the formation of rigid structures), support the conclusion (drawn in the preceding paper) that the block copolymers are aggregated in aqueous solution. It is shown that similar block copolymers reported in the literature are also aggregated.     

Association between the tryptophan hydroxylase (TpH) gene polymorphic markers and endogenous psychoses

Tryptophan hydroxylase is one of the key enzymes involved in serotonergic metabolism. In many studies, an association between the TpH gene and human mentality, as well as mental disorders was demonstrated. This study was designed to analyze the association between three TpH gene polymorphisms (A218C, T3792A, and (CT) _n (CA) _n (CT) _n ) and endogenous psychoses. The patients included into investigation were represented by those with manic-depressive psychosis (93 individuals) and those with the schizophrenia spectrum disorders (307 individuals). An association between the A218C polymorphism with the disorders of the schizophrenia spectrum was demonstrated. These findings confirmed the data obtained earlier for other populations. In addition, an association between the (CT) _n (CA) _n (CT) _n microsatellite repeats and bipolar disease was shown for the first time.     

New developments in first-principles excited-state dynamics simulations: unveiling the solvent specificity of excited anionic cluster relaxation and electron solvation

Charge-transfer-to-solvent excited iodide–polar solvent molecule clusters, [I^? (Solv)_n]^*, have attracted substantial interest over the past 20 years as they can undergo intriguing relaxation processes leading ultimately to the formation of gas-phase molecular analogues of the solvated electron. In this review article, we present a comprehensive overview of the development and application of state-of-the-art first-principles molecular dynamics simulation approaches to understand and interpret the results of femtosecond photoelectron spectroscopy experiments on [I^? (Solv)_n]^* relaxation, which point to a high degree of solvent specificity in the electron solvation dynamics. The intricate molecular details of the [I^? (Solv)_n]^* relaxation process are presented, and by contrasting the relaxation mechanisms of clusters with several different solvents (water, methanol and acetonitrile), the molecular basis of the solvent specificity of electron solvation in [I^? (Solv)_n]^* is uncovered, leading to a more refined view of the manifestation of electron solvation in small gas-phase clusters.     

Polypeptide models of collagen. Solution properties of (Gly-Pro-Sar)n and (Gly-Sar-Pro)n.

Our studies on the solution conformation of (Gly-Pro-Sar)_n and (Gly-Sar-Pro)_n synthesized as polypeptide models for collagen are reported. It is found that, while (Gly-Pro-Sar)_n exists in ordered triple-helical conformation, (Gly-Sar-Pro)_n remains as a disordered random coil in water. Addition of certain helix-promoting solvents seems to generate order in (Gly-Sar-Pro)_n.     

Mass-balanced trophic and loop models of complex benthic systems in northern Chile (SE Pacific) to improve sustainable interventions: a comparative analysis

The capacity to withstand perturbations and the propagation of direct and indirect effects of harvesting were explored in seagrass and sand–gravel subtidal subsystems of northern Chile using Ecopath II, Ecosim and Loop Analysis theoretical frameworks. The relative Ascendancy and Redundancy from Ecopath II and Ecosim models and the holistic stability measure (F _n ) given by Loop Analysis, all suggest that the sand–gravel subsystem is the more resistant and its fishery more sustainable. This outcome is relevant since the theoretical frameworks used are based on different assumptions but arrive at similar conclusions. If the fishery is included in the qualitative ecological models, which were found locally stable only when the fishery is self-controlled. While this conclusion is not new, its relevance here is that it emerges from qualitative multispecies modelling (Loop Analysis). Based on our model predictions, the biomass removal of the sea star Meyenaster gelatinosus would increase the standing stock of the commercial scallop Argopecten purpuratus only in the seagrass habitat, whereas the same man-made intervention may have an opposite effect in the sand–gravel habitat. We recommend to enunciate holistic models based on the theoretical framework used in the current work, which explore the reality from different perspectives assuming different givens. Based on these holistic explorations alternative and complementary management scenarios could be designed. Handling editor: T. P. Crowe     

Compressive and rarefactive DIA solitons beyond the KdV limit

The modified Gardner equation (MGE), showing the existence of compressive and rarefactive dust-ion-acoustic (DIA) solitons in a nonplanar dusty plasma (containing inertial ions, Boltzmann electrons, and negatively charged stationary dust) beyond the KdV Korteweg-de Vries (KdV) limit, is derived and numerically solved. The basic features of the compressive and rarefactive cylindrical and spherical DIA solitons, which are found to exist beyond the KdV limit, i.e., exist for μ ∼ 2/3 (where μ = Z _n n _d0/n _i0, z _d is the number of electrons residing onto the dust grain surface, n _d0(n _i0) is the dust (ion) number density at equilibrium, and μ ∼ 2/3 means that μ is not equal to 2/3, but it is around 2/3) are identified. These solitons (which can be referred to as DIA Gardner solitons (DIA-GSs)) are completely different from the KdV solitons because μ = 2/3 corresponds to the vanishing of the nonlinear coefficient of the KdV equation, and μ ∼ 2/3 corresponds to extremely large amplitude KdV solitons for which the validity of the reductive perturbation method breaks down. It is also shown that the properties of the nonplanar (cylindrical and spherical) DIA-GSs are significantly different from those of the one dimensional planar ones.     

Survival Chances of Mutants Starting With One Individual

A simple theoretical model of a Darwinian system (a periodic system with a multiplication phase and a selection phase) of entities (initial form of polymer strand, primary mutant and satellite mutants) is given. First case: one mutant is considered. One individual of the mutant appears in the multiplication phase of the first generation. The probabilities to find N mutants W_n^M(N) after the multiplication phase M of the n-th generation (with probability δ of an error in the replication, where all possible errors are fatal errors) and W_n^S(N) after the following selection phase S (with probability β that one individual survives) are given iteratively. The evolutionary tree is evaluated. Averages from the distributions and the probability of extinction W_∞^S(0) are obtained. Second case: two mutants are considered (primary mutant and new form). One individual of the primary mutant appears in the multiplication phase of the first generation. The probabilities to find N_p primary mutants and N_m of the new form W_n^M(N_p, N_m) after the multiplication phase M of the n-th generation (probability ε of an error in the replication of the primary mutant giving the new form) and W_n^S(N_p, N_m) after the following selection phase S (probabilities β_p and β_m that one individual each of the primary mutant and of the new form survives) are given iteratively. Again the evolutionary tree is evaluated. Averages from the distributions are obtained.     

Conformations of poly-L-valine in solution

In order to test theoretical predictions that poly-L -valine can exist in an α-helical conformation, water-soluble block copolymers of L -valine and D , L -lysine were prepared. By carrying out the synthesis on a resin support (with the use of N-carboxyanhydrides) contamination of the individual blocks by any unreacted monomer from the previous block was avoided. A single glycine residue was incorporated at the C-terminus of the chain for use in amino acid analyses. Using optical rotatory dispersion and circular dichroism criteria, about 50% of the short valine block of (D , L -lysine HCl)₁₈-(L -valine)₁₅-(D , L -lysine-HCl)1₆-glycine was found to be in the right-handed α-helical conformation in 98% aqueous methanol, in water, the polymer appears to be a dimer, with the valine block being involved in the formation of an intermolecular β-structure.     

Conformational change of the triple-helical structure. I. Synthesis of model peptides of collagen by the solid-phase method

As model peptides of collagen, (Pro-Pro-Gly)_n (n = 10, 12, 14, and 15) and (Pro-Pro-Gly)_n(Ala-Pro-Gly)_m(Pro-Pro-Gly)_n (2n + m = 15; m = 1, 3, and 5) were synthesized by the solid-phase method. The final products were pure when checked by high-voltage paper electrophoresis and by amino acid analysis. Elemental composition was also examined.     

Theoretical study on the structural,vibrational, and thermodynamic properties of the (Br<Subscript>2</Subscript>GaN<Subscript>3</Subscript>)<Subscript><Emphasis Type="Italic">n</Emphasis></Subscript> (<Emphasis Type="Italic">n</Emphasis> = 1–4) clusters

The molecular geometries, vibrational properties, and thermodynamic properties of the clusters (Br₂GaN₃) _n (n = 1–4) were studied at the B3LYP/6-311+G* level. The optimized clusters (Br₂GaN₃) _n (n = 2–4) were all found to possess a cyclic structure consisting of Ga atoms bridged by the α-nitrogen of the azide groups. A discussion of the relationships between the geometrical parameters and the degree of oligomerization n is provided. Features in the IR spectra were assigned by vibrational analysis. Trends in thermodynamic properties with temperature and degree of oligomerization n are discussed. Thermodynamic analysis of the gas-phase reaction showed that the formation of the clusters (Br₂GaN₃) _n (n = 2–4) is thermodynamically favorable considering the enthalpies at 298.2 K. The calculated results for the Gibbs free energies were negative, which indicates that the oligomerizations can occur spontaneously at 298.2 K.     

The convergence in distribution of some simple epidemics

A group of n susceptible individuals exposed to a contagious disease isconsidered. It is assumed that at each point in time one or more susceptible individuals can contract the disease. The progress of this simple batch epidemic is modeled by a stochastic process X_n(t), t[0, ∞), representing the number of infectiveindividuals at time t. In this paper our analysis is restricted to simple batch epidemics with transition rates given by [α²X_n(t){n −X_n(t) +X_n(0)}]^1/2, t[0, ∞), α(0, ∞). This class of simple batch epidemics generalizes a model used and motivated by McNeil (1972) to describe simple epidemic situations. It is shown for this class of simple batch epidemics, that X_n(t), with suitable standardization, converges in distribution as n→∞ to a normal random variable for all t(0, t₀), and t₀ is evaluated.     

Optimal Fixing of the Bandwidth-Parameter for the Empirical Regression1,2

The estimator ?₀(x) of the regression r(x) = E (Y | × = x) from measured points (x_i, y_i), i = 1(1) n, of a continuous two-dimensional random variable (X, Y) with unknown continuous density function f(x, y) and with moments up to the second order can be made with the help of a density estimation f?₀(x, y) (see e.g. SCHMERLING and PEIL, 1980). Here f?₀(x, y) still contains free parameters (so-called band-width-parameters), the values of which have to be optimally fixed in the concrete case. This fixing can be done by using a modification of the maximum-likelihood principle including jackknife techniques. The parameter values can be also found from the estimators for r(x). Here the cross-validation principle can be applied. Some numerical aspects of these possibilities for optimally fixing the bandwidth-parameter are discussed by means of examples. If ?₀(x) is used as a smoothing operator for time series the optimal choice of the parameter values is dependent on the purpose of application of the smoothed time series. The fixing will then be done by considering the so-called filter-characteristic of ?C₀(x).