Integration-free algorithms for fixed end-point regulator problems

A new formulation is suggested for the fixed end-point regulator problem, which, in conjunction with the recently developed integration-free algorithms, provides an efficient means of obtaining numerical solutions to such problems.

Pre-eclampsia : The role of soluble VEGF receptor-1 and related anti-angiogenic factors beyond

Pre-eclampsia is a pregnancy complication that affects about 5% of all pregnancies. It is known to be associated with alterations in angiogenesis -related factors, such as vascular endothelial growth factor (VEGF). An excess of antiangiogenic substances, especially the soluble receptor-1 of VEGF (sVEGFR-1), has been observed in maternal circulation after the onset of the disease, probably reflecting their increased placental production. Smoking reduces circulating concentrations of sVEGFR-1 in non-pregnant women, and in pregnant women it reduces the risk of pre-eclampsia. Soluble VEGFR-1 acts as a natural antagonist of VEGF and placental growth factor (PlGF) in human circulation, holding a promise for potential therapeutic use. In fact, it has been used as a model to generate a fusion protein, VEGF Trap , which has been found effective in anti-angiogenic treatment of certain tumors and ocular diseases. In the present study, we evaluated the potential use of maternal serum sVEGFR-1, Angiopoietin-2 (Ang-2) and endostatin, three central anti-angiogenic markers, in early prediction of subsequent pre-eclampsia. We also studied whether smoking affects circulating sVEGFR-1 concentrations in pregnant women or their first trimester placental secretion and expression in vitro. Last, in order to allow future discussion on the potential therapy based on sVEGFR-1, we determined the biological half-life of endogenous sVEGFR-1 in human circulation, and measured the concomitant changes in free VEGF concentrations. Blood or placental samples were collected from a total of 268 pregnant women between the years 2001 2007 in Helsinki University Central Hospital for the purposes above. The biomarkers were measured using commercially available enzyme-linked immunosorbent assays (ELISA). For the analyses of sVEGFR-1, Ang-2 and endostatin, a total of 3 240 pregnant women in the Helsinki area were admitted to blood sample collection during two routine ultrasoundscreening visits at 13.7 ± 0.5 (mean ± SD) and 19.2 ± 0.6 weeks of gestation. Of them, 49 women later developing pre-eclampsia were included in the study. Their disease was further classified as mild in 29 and severe in 20 patients. Isolated early-onset intrauterine growth retardation (IUGR) was diagnosed in 16 women with otherwise normal medical histories and uncomplicated pregnancies. Fifty-nine women remaining normotensive, non-proteinuric and finally giving birth to normal-weight infants were picked to serve as the control population of the study. Maternal serum concentrations of Ang-2, endostatin and sVEGFR-1, were increased already at 16 20 weeks of pregnancy, about 13 weeks before the clinical manifestation of preeclampsia. In addition, these biomarkers could be used to identify women at risk with a moderate precision. However, larger patient series are needed to determine whether these markers could be applied for clinical use to predict preeclampsia. Intrauterine growth retardation (IUGR), especially if noted at early stages of pregnancy and not secondary to any other pregnancy complication, has been suggested to be a form of preeclampsia compromising only the placental sufficiency and the fetus, but not affecting the maternal endothelium. In fact, IUGR and preeclampsia have been proposed to share a common vascular etiology in which factors regulating early placental angiogenesis are likely to play a central role. Thus, these factors have been suggested to be involved in the pathogenesis of IUGR. However, circulating sVEGFR-1, Ang-2 and endostatin concentrations were unaffected by subsequent IUGR at early second trimester. Furthermore, smoking was not associated with alterations in maternal circulating sVEGFR-1 or its placental production. The elimination of endogenous sVEGFR-1 after pregnancy was calculated from serial samples of eight pregnant women undergoing elective Caesarean section. As typical for proteins in human compartments, the elimination of sVEGFR-1 was biphasic, containing a rapid halflife of 3.4 h and a slow one of 29 h. The decline in sVEGFR-1 concentrations after mid-trimester legal termination of pregnancy was accompanied with a simultaneous increase in the serum levels of free VEGF so that within a few days after pregnancy VEGF dominated in the maternal circulation. Our study provides novel information on the kinetics of endogenous sVEGFR-1, which serves as a potential tool in the development of new strategies against diseases associated with angiogenic imbalance and alterations in VEGF signaling.

X-ray studies on crystalline complexes involving amino acids and peptides. XV. Crystal structures of L-lysine D-glutamate and L-lysine D-aspartate monohydrate and the effect of chirality on molecular aggregation

L-Lysine D-glutamate crystallizes in the monoclinic space group P2(1) with a = 4.902, b = 30.719, c = 9.679 A, beta = 90 degrees and Z = 4. The crystals of L-lysine D-aspartate monohydrate belong to the orthorhombic space group P2(1)2(1)2(1) with a = 5.458, b = 7.152, c = 36.022 A and Z = 4. The structures were solved by the direct methods and refined to R values of 0.125 and 0.040 respectively for 1412 and 1503 observed reflections. The glutamate complex is highly pseudosymmetric. The lysine molecules in it assume a conformation with the side chain staggered between the alpha-amino and the alpha-carboxylate groups. The interactions of the side chain amino groups of lysine in the two complexes are such that they form infinite sequences containing alternating amino and carboxylate groups. The molecular aggregation in the glutamate complex is very similar to that observed in L-arginine D-aspartate and L-arginine D-glutamate trihydrate, with the formation of double layers consisting of both types of molecules. In contrast to the situation in the other three LD complexes, the unlike molecules in L-lysine D-aspartate monohydrate aggregate into alternating layers as in the case of most LL complexes. The arrangement of molecules in the lysine layer is nearly the same as in L-lysine L-aspartate, with head-to-tail sequences as the central feature. The arrangement of aspartate ions in the layers containing them is, however, somewhat unusual. Thus the comparison between the LL and the LD complexes analyzed so far indicates that the reversal of chirality of one of the components in a complex leads to profound changes in molecular aggregation, but these changes could be of more than one type.

Crystal and molecular structure of l-valyl-l-lysine hydrochloride

l-Valyl-l-lysine hydrochloride, C11N3O3H23 HCl, rystallizes in the monoclinic space group P2, with a = 5.438(5), b = 14.188(5), c = 9.521(5) Å, β= 95.38(2)° and Z = 2. The crystal structure, solved by direct methods, refined to R = 0.036, using full matrix least-squares method. The peptide exists in a zwitterionic form, with the N atom of the lysine side-chain protonated. The two γ-carbons of the valine side-chain have positional disorder, giving rise to two conformations, χ111= -67.3 and 65.9°, one of which (65.9°) is sterically less favourable and has been found to be less popular amongst residues branching at β-C. The lysine side-chain has the geometry of g− tgt, not seen in crystal structures of the dipeptides reported so far. Interestingly, χ32 (63.6°) of lysine side-chain has a gauche+ conformation unlike in most of the other tructures, where it is trans. The neighbouring peptide molecules are hydrogen bonded in a head-to-tail fashion, a rather uncommon interaction in lysine peptide structures. The structure shows considerable similarity with that of l-Lys-l-Val HO in conformational angles and H-bond interactions [4].

Semi-Supervised Classification Using Sparse Gaussian Process Regression

Gaussian Processes (GPs) are promising Bayesian methods for classification and regression problems. They have also been used for semi-supervised learning tasks. In this paper, we propose a new algorithm for solving semi-supervised binary classification problem using sparse GP regression (GPR) models. It is closely related to semi-supervised learning based on support vector regression (SVR) and maximum margin clustering. The proposed algorithm is simple and easy to implement. It gives a sparse solution directly unlike the SVR based algorithm. Also, the hyperparameters are estimated easily without resorting to expensive cross-validation technique. Use of sparse GPR model helps in making the proposed algorithm scalable. Preliminary results on synthetic and real-world data sets demonstrate the efficacy of the new algorithm.

Control of Agent Swarms using Generalized Centroidal Cyclic Pursuit Laws

One of the major tasks in swarm intelligence is to design decentralized but homogenoeus strategies to enable controlling the behaviour of swarms of agents. It has been shown in the literature that the point of convergence and motion of a swarm of autonomous mobile agents can be controlled by using cyclic pursuit laws. In cyclic pursuit, there exists a predefined cyclic connection between agents and each agent pursues the next agent in the cycle. In this paper we generalize this idea to a case where an agent pursues a point which is the weighted average of the positions of the remaining agents. This point correspond to a particular pursuit sequence. Using this concept of centroidal cyclic pursuit, the behavior of the agents is analyzed such that, by suitably selecting the agents' gain, the rendezvous point of the agents can be controlled, directed linear motion of the agents can be achieved, and the trajectories of the agents can be changed by switching between the pursuit sequences keeping some of the behaviors of the agents invariant. Simulation experiments are given to support the analytical proofs.

Chemical potential of oxygen for iron-rutile-ilmenite and iron-ilmenite-ulvospinel equilibria

The chemical potential of oxygen corresponding to the iron-rutile-ilmenite (IRI) and iron-ilmenite-ulvospinel (IIU) equilibria has been measured employing solid-state galvanic cells,$$Pt, Fe + TiO_2 + FeTiO_3 //(Y_2 O_3 ) ZrO_2 //Fe + FeO, Pt$$ and $${\text{Pt, Fe + FeTiO}}_{\text{3}} {\text{ + Fe}}_{\text{2}} {\text{TiO}}_{\text{4}} {\text{//(Y}}_{\text{2}} {\text{0}}_{\text{3}} {\text{) ZrO}}_{\text{2}} {\text{//Fe + FeO, Pt}}$$ in the temperature range of 875 to 1275 K and 900 to 1373 K, respectively. The cells are written such that the right-hand electrodes are positive. The electromotive force (emf) of both the cells was found to be reversible and to vary linearly with temperature over the entire range of measurement. The chemical potential of oxygen for IRI equilibrium is represented by Δμo2(IRI) = -550,724 - 29.445T + 20.374T InT(±210) J mol−1 (875 <-T<- 1184 K) = -620,260 + 369.593T - 27.716T lnT(±210) J mol−1 (1184 <-T<- 1275 K) and that for IIU equilibrium by Δμo2(IIU) = -501,800 - 49.035T + 20.374T lnT(±210) J mol−1 (900 <-T<- 1184 K) = -571,336 + 350.003T− 27.716T lnT(=−210) J mol-1 (1184 <-T<- 1373 K) The standard Gibbs energy changes for IRI and IIU equilibria have been deduced from the measured oxygen potentials. Since ilmenite contains small amounts of Ti³+ ions, a correction for the activity of FeTiO3 has been incorporated by assuming ideal mixing on each cation sublattice in the FeTiO3-Ti2O3 system. Similarly, the ulvospinel contains some Fe³+ ions and a correction for the activity of Fe2TiO4 has been included by modeling the Fe2TiO4-Fe3O4 system. The third-law analysis of the results obtained for IRI equilibrium gives ΔH 298 0 = -575 (±1.0) kJ mol-1 and for IIU equilibrium yields ΔH 298 0 = -523.7 (±0.7) kJ mol−1}. The present results suggest that Fe2+ and Ti4+ cations mix almost ideally on the octahedral site of spinel lattice in Fe2TiO4, giving rise to a configurational contribution of 2R In 2 (11.5256 J mol-1 K-1) to the entropy of Fe2TiO4.

Conformational studies on beta-bend containing a cis peptide unit

Conformational studies have been carried out on the X-cis-Pro tripeptide system (a system of three linked peptide units, in the trans-cis-trans configuration) using energy minimization techniques. For X, residues Gly, L-Ala, D-Ala and L-Pro have been used. The energy minima have been classified into different groups based upon the conformational similarity. There are 15, 20, 18 and 6 minima that are possible for the four cases respectively and these fall into 11 different groups. A study of these minima shows that, (i) some minima contain hydrogen bonds - either 4-->1 or 1-->2 type, (ii) the low energy minima qualify themselves as bend conformations, (iii) cis' and trans' conformations are possible for the prolyl residue as also the C(gamma)-endo and C(gamma)-exo puckerings, and (iv) for Pro-cis-Pro, cis' at the first prolyl residue is ruled out, due to the high energy. The available crystal structure data on proteins and peptides, containing cis-Pro segment have been examined with a view to find the minima that occur in solid state. The data from protein show that they fall under two groups. The conformation at X in X-cis-Pro is near extended when it is a non-glycyl residue. In both peptides and proteins there exists a preference for trans' conformation at prolyl residue over cis' when X is a non-glycyl residue. The minima obtained can be useful in modelling studies.