Spectra of modular and small-world matrices

We compute spectra of symmetric random matrices describing graphs with general modular structure and arbitrary inter- and intra-module degree distributions, subject only to the constraint of finite mean connectivities. We also evaluate spectra of a certain class of small-world matrices generated from random graphs by introducing shortcuts via additional random connectivity components. Both adjacency matrices and the associated graph Laplacians are investigated. For the Laplacians, we find Lifshitz-type singular behaviour of the spectral density in a localized region of small |?| values. In the case of modular networks, we can identify contributions of local densities of state from individual modules. For small-world networks, we find that the introduction of short cuts can lead to the creation of satellite bands outside the central band of extended states, exhibiting only localized states in the band gaps. Results for the ensemble in the thermodynamic limit are in excellent agreement with those obtained via a cavity approach for large finite single instances, and with direct diagonalization results.

A management tool for developing the relationships between large purchasing organisations and small ethnic minority suppliers

Purpose: The purpose of this paper is to scrutinise the characteristics of the relationship between large purchasing organisations (LPOs) and ethnic minority suppliers (EMSs) engaging with supplier diversity programmes and provide an assessment and developmental framework for such organisations. Design/methodology/approach: Having considered an array of purchaser-supplier relationship frameworks in relevant streams of literature, the paper draws on Lamming et al.'s framework to advance a tool for assessing and developing the relationship between LPOs and EMSs. Findings: The submitted relationship assessment and development framework brings in sharp focus the characteristics of the relationship between LPO and EMS, providing a systematic way to examine the inter-organisational context within which EMS development takes place. Research limitations/implications: The framework submitted could signpost future research in this field, which should take a longitudinal, processual approach. This is necessary to provide opportunities to examine the dynamics underlying the development of potent LPO-EMS relationships in a variety of settings, including negative instances. Practical implications: The paper has implications for corporate policy making and practice in this arena. Assessing the potency of LPOs-EMSs relationships by applying the proffered tool can help both parties engage with supplier diversity, to develop fruitful relationships that enhance their competitiveness. Social implications: The latter can have social implications, as EMSs often operate in and employ people from disadvantaged communities. Originality/value: The framework advanced in this article constitutes a novel tool that highlights the areas in which LPOs and EMSs should channel their efforts, in order to develop a potent relationship between them, which underpins the development of EMSs' supply capabilities. © Emerald Group Publishing Limited.

Belief revision and small loops in Gallager-type error-correcting codes

DUE TO COPYRIGHT RESTRICTIONS ONLY AVAILABLE FOR CONSULTATION AT ASTON UNIVERSITY LIBRARY AND INFORMATION SERVICES WITH PRIOR ARRANGEMENT

Public sector efficiency, foreign aid and small island development states

This paper examines the efficiency of public sector expenditures and foreign aid at achieving social sector outcomes in Small Island Developing States (SIDS). Efficiency is estimated using a Stochastic Production Function (SPF) approach and panel data since 1990. A second stage of the analysis examines the determinants of efficiency. Results indicate that the efficiency of aid and public sectors at improving life expectancy has deteriorated during the 1990s but efficiency at improving school enrolments has increased. Higher levels of governance are associated with higher efficiency. There is also evidence to suggest that efficiency is lower in SIDS, as well as in Sub-Saharan Africa.

Bridging large and small scales of water models using hybrid Molecular Dynamics/Fluctuating Hydrodynamics framework

This thesis presents a two-dimensional water model investigation and development of a multiscale method for the modelling of large systems, such as virus in water or peptide immersed in the solvent. We have implemented a two-dimensional ‘Mercedes Benz’ (MB) or BN2D water model using Molecular Dynamics. We have studied its dynamical and structural properties dependence on the model’s parameters. For the first time we derived formulas to calculate thermodynamic properties of the MB model in the microcanonical (NVE) ensemble. We also derived equations of motion in the isothermal–isobaric (NPT) ensemble. We have analysed the rotational degree of freedom of the model in both ensembles. We have developed and implemented a self-consistent multiscale method, which is able to communicate micro- and macro- scales. This multiscale method assumes, that matter consists of the two phases. One phase is related to micro- and the other to macroscale. We simulate the macro scale using Landau Lifshitz-Fluctuating Hydrodynamics, while we describe the microscale using Molecular Dynamics. We have demonstrated that the communication between the disparate scales is possible without introduction of fictitious interface or approximations which reduce the accuracy of the information exchange between the scales. We have investigated control parameters, which were introduced to control the contribution of each phases to the matter behaviour. We have shown, that microscales inherit dynamical properties of the macroscales and vice versa, depending on the concentration of each phase. We have shown, that Radial Distribution Function is not altered and velocity autocorrelation functions are gradually transformed, from Molecular Dynamics to Fluctuating Hydrodynamics description, when phase balance is changed. In this work we test our multiscale method for the liquid argon, BN2D and SPC/E water models. For the SPC/E water model we investigate microscale fluctuations which are computed using advanced mapping technique of the small scales to the large scales, which was developed by Voulgarakisand et. al.

Differential impact of amino acid substitutions on critical residues of the human glucagon-like peptide-1 receptor involved in peptide activity and small-molecule allosterys

The glucagon-like peptide-1 receptor (GLP-1R) is a class B G protein-coupled receptor that has a critical role in the regulation of glucose homeostasis, principally through the regulation of insulin secretion. The receptor systemis highly complex, able to be activated by both endogenous [GLP-1(1-36)NH2, GLP-1(1-37), GLP-1(7-36)NH2, GLP-1(7-37), oxyntomodulin], and exogenous (exendin-4) peptides in addition to small-molecule allosteric agonists (compound 2 [6,7-dichloro-2-methylsulfonyl-3-tertbutylaminoquinoxaline], BETP [4-(3-benzyloxy)phenyl)-2-ethylsulfinyl-6-(trifluoromethyl)pyrimidine]). Furthermore, the GLP-1R is subject to single-nucleotide polymorphic variance, resulting in amino acid changes in the receptor protein. In this study, we investigated two polymorphic variants previously reported to impact peptidemediated receptor activity (M149) and small-molecule allostery (C333). These residues were mutated to a series of alternate amino acids, and their functionality was monitored across physiologically significant signaling pathways, including cAMP, extracellular signal-regulated kinase 1 and 2 phosphorylation, and intracellular Ca2+ mobilization, in addition to peptide binding and cell-surface expression. We observed that residue 149 is highly sensitive to mutation, with almost all peptide responses significantly attenuated at mutated receptors. However, most reductions in activity were able to be restored by the small-molecule allosteric agonist compound 2. Conversely, mutation of residue 333 had little impact on peptide-mediated receptor activation, but this activity could not be modulated by compound 2 to the same extent as that observed at the wild-type receptor. These results provide insight into the importance of residues 149 and 333 in peptide function and highlight the complexities of allosteric modulation within this receptor system.

High-Order Control Variations and Small-Time Local Controllability

The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is studied and a new sufficient STLC condition is proved.

Classification of Maximal Optical Orthogonal Codes of Weight 3 and Small Lengths

Dedicated to the memory of the late professor Stefan Dodunekov on the occasion of his 70th anniversary. We classify up to multiplier equivalence maximal (v, 3, 1) optical orthogonal codes (OOCs) with v ≤ 61 and maximal (v, 3, 2, 1) OOCs with v ≤ 99. There is a one-to-one correspondence between maximal (v, 3, 1) OOCs, maximal cyclic binary constant weight codes of weight 3 and minimum dis tance 4, (v, 3; ⌊(v − 1)/6⌋) difference packings, and maximal (v, 3, 1) binary cyclically permutable constant weight codes. Therefore the classification of (v, 3, 1) OOCs holds for them too. Some of the classified (v, 3, 1) OOCs are perfect and they are equivalent to cyclic Steiner triple systems of order v and (v, 3, 1) cyclic difference families.

The role of splicing factors and small nuclear RNAs in spliceosomal formation

Protein coding genes are comprised of protein-coding exons and non-protein-coding introns. The process of splicing involves removal of the introns and joining of the exons to form a mature messenger RNA, which subsequently undergoes translation into polypeptide. The spliceosome is a large, RNA/protein assembly of five small nuclear RNAs as well as over 300 proteins, which catalyzes intron removal and exon ligation. The selection of specific exons for inclusion in the mature messenger RNA is spatiotemporally regulated and results in production of an enormous diversity of polypeptides from a single gene locus. This phenomenon, known as alternative splicing, is regulated, in part, by protein splicing factors, which target the spliceosome to exon/intron boundaries. The first part of my dissertation (Chapters II and III) focuses on the discovery and characterization of the 45 kilodalton FK506 binding protein (FKBP45), which I discovered in the silk moth, Bombyx mori, as a U1 small nuclear RNA binding protein. This protein family binds the immunosuppressants FK506 and rapamycin and contains peptidyl-prolyl cis-trans isomerase activity, which converts polypeptides from cis to trans about a proline residue. This is the first time that an FKBP has been identified in the spliceosome. The second section of my dissertation (Chapters IV, V, VI and VII) is an investigation of the potential role of small nuclear RNA sequence variants in the control of splicing. I identified 46 copies of small nuclear RNAs in the 6X whole genome shotgun of the Bombyx mori p50T strain. These variants may play a role in differential binding of specific proteins that mediate alternative splicing. Along these lines, further investigation of U2 snRNA sequence variants in Bombyx mori demonstrated that some U2 snRNAs preferentially assemble into high molecular weight spliceosomal complexes over others. Expression of snRNA variants may represent another mechanism by which the cell is able to fine tune the splicing process.

Indirect and direct controls of macroinvertebrates and small fish by abiotic factors and trophic interactions in the Florida Everglades

1. The roles of nutrients, disturbance and predation in regulating consumer densities have long been of interest, but their indirect effects have rarely been quantified in wetland ecosystems. The Florida Everglades contains gradients of hydrological disturbance (marsh drying) and nutrient enrichment (phosphorus), often correlated with densities of macroinvertebrate infauna (macroinvertebrates inhabiting periphyton), small fish and larger invertebrates, such as snails, grass shrimp, insects and crayfish. However, most causal relationships have yet to be quantified. 2.  We sampled periphyton (content and community structure) and consumer (small omnivores, carnivores and herbivores, and infaunal macroinvertebrates inhabiting periphyton) density at 28 sites spanning a range of hydrological and nutrient conditions and compared our data to seven a priori structural equation models. 3.  The best model included bottom-up and top-down effects among trophic groups and supported top-down control of infauna by omnivores and predators that cascaded to periphyton biomass. The next best model included bottom-up paths only and allowed direct effects of periphyton on omnivore density. Both models suggested a positive relationship between small herbivores and small omnivores, indicating that predation was unable to limit herbivore numbers. Total effects of time following flooding were negative for all three consumer groups even when both preferred models suggested positive direct effects for some groups. Total effects of nutrient levels (phosphorus) were positive for consumers and generally larger than those of hydrological disturbance and were mediated by changes in periphyton content. 4.  Our findings provide quantitative support for indirect effects of nutrient enrichment on consumers, and the importance of both algal community structure and periphyton biomass to Everglades food webs. Evidence for top-down control of infauna by omnivores was noted, though without substantially greater support than a competing bottom-up-only model.

The Effect of Natural Products and Small Gtpases in Adipogenesis

Insulin signaling is one of the main initiators of adipogenesis, the conversion from pre-adipocyte to adipocyte or lipid droplet. Rab proteins are the master regulator of intracellular trafficking and endosome fusion in endocytosis, making them potential regulators of insulin signaling in adipogenesis. Pre-adipocytes 3T3-Ll cells expressing several Rab5 constructs were used to examine the effect of dehydroleucodine (DhL ), a sesquiterpene lactone isolated from aerial parts of Artemisia douglasiana Besser. The results obtained identify Rab5 deactivation as a key step for adipogenesis by forming signaling endosomes. The addition of DhL significantly inhibited the lipid droplet accumulation in a dose-dependent manner and dramatically attenuated the synthesis of adipogenic transcriptional factors, C/EBPa and PPARy. Activation of AMPKa, Erk and Akt during adipocytic differentiation was not inhibited by treatment with DhL. This data suggest that DhL has an important role in Rab5 dependent adipogenesis by regulating several transcriptional factors including PP ARy expression, which is known to play an essential role during fat formation.