On a Five-Diagonal Jacobi Matrices and Orthogonal Polynomials on Rays in the Complex Plane

∗ Partially supported by Grant MM-428/94 of MESC.

Sequences of cytochrome b gene for primitive cyprinid fishes in East Asia and their phylogenetic concerning

1140 bp of cytochrome b gene were amplified and sequenced from 14 species of primitive cyprinid fishes in East Asia. Aligned with other ten cytochrome b gene sequences of cyprinid fish from Europe and North America retrieved from Gene bank, we obtained a matrix of 24 DNA sequences. A cladogram was generated by the method of Maximum likelihood for the primitive cyprinid fishes. The result indicated that subfamily Leuciscinae and Danioninae do not form a monophyletic group. In the subfamily Danioninae, Opsariichthys biden and Zacco platypus are very primitive and form a natural group and located at the root. But the genera in subfamily Danioninae are included in different groups and have not direct relationship. Among them, Aphyocypris chinensis and Yaoshanicus arcus form a monophyletic group. Tanichthys albonubes and Gobiocypris rarus have a close relation to Gobioninae. The genus Danio is far from other genera in Danioninae, In our cladogram, the genera in Leuciscinae were divided into two groups that have no direct relationship. The genera in Leuciscinae distributed in Europe, Sibera and North America, including Leuciscus, Rutilus, Phoxinus, N. crysole, Opsopoeodus emilae, form a monophyletic group. And the Leuciscinae in southern China including Ctenopharyngodon idellus, Mylopharyngodon piceus, Squalibarbus and Ochetobius elongatus have a common origination.

The Parity of the Number of Irreducible Factors for Some Pentanomials

It is well known that Stickelberger-Swan theorem is very important for determining reducibility of polynomials over a binary field. Using this theorem it was determined the parity of the number of irreducible factors for some kinds of polynomials over a binary field, for instance, trinomials, tetranomials, self-reciprocal polynomials and so on. We discuss this problem for type II pentanomials namely x^m +x^{n+2} +x^{n+1} +x^n +1 \in\ IF_2 [x]. Such pentanomials can be used for efficient implementing multiplication in finite fields of characteristic two. Based on the computation of discriminant of these pentanomials with integer coefficients, it will be characterized the parity of the number of irreducible factors over IF_2 and be established the necessary conditions for the existence of this kind of irreducible pentanomials.

Reduction in levels of the cyclin-dependent kinase inhibitor p27kip-1 coupled with transforming growth factor β neutralization induces cell-cycle entry and increases retroviral transduction of primitive human hematopoietic cells

Successful gene therapy depends on stable transduction of hematopoietic stem cells. Target cells must cycle to allow integration of Moloney-based retroviral vectors, yet hematopoietic stem cells are quiescent. Cells can be held in quiescence by intracellular cyclin-dependent kinase inhibitors. The cyclin-dependent kinase inhibitor p15INK4B blocks association of cyclin-dependent kinase (CDK)4/cyclin D and p27kip-1 blocks activity of CDK2/cyclin A and CDK2/cyclin E, complexes that are mandatory for cell-cycle progression. Antibody neutralization of β transforming growth factor (TGFβ) in serum-free medium decreased levels of p15INK4B and increased colony formation and retroviral-mediated transduction of primary human CD34+ cells. Although TGFβ neutralization increased colony formation from more primitive, noncycling hematopoietic progenitors, no increase in M-phase-dependent, retroviral-mediated transduction was observed. Transduction of the primitive cells was augmented by culture in the presence of antisense oligonucleotides to p27kip-1 coupled with TGFβ-neutralizing antibodies. The transduced cells engrafted immune-deficient mice with no alteration in human hematopoietic lineage development. We conclude that neutralization of TGFβ, plus reduction in levels of the cyclin-dependent kinase inhibitor p27, allows transduction of primitive and quiescent hematopoietic progenitor populations.

Spectral approximations to the fractional integral and derivative

In this paper, the spectral approximations are used to compute the fractional integral and the Caputo derivative. The effective recursive formulae based on the Legendre, Chebyshev and Jacobi polynomials are developed to approximate the fractional integral. And the succinct scheme for approximating the Caputo derivative is also derived. The collocation method is proposed to solve the fractional initial value problems and boundary value problems. Numerical examples are also provided to illustrate the effectiveness of the derived methods.

Aboriginality and the Northern Territory intervention

Architects and supporters of the Northern Territory Emergency Response (the intervention) mobilised a range of ideas about Aboriginality to introduce and justify the policy program. These representations link Aboriginality to abuse of Aboriginal children, establishing a debate about the nature and future of Aboriginality in a context that limits the discursive authority of Aboriginal people. Aboriginality is represented as savage and in need of settler-imposed control, and also primitive and in need of development. These constructions understand Aboriginality temporally, situating it in the past but providing moral justification for coercing Indigenous people into the settler present. Aboriginality is also constructed spatially in this discourse, with prescribed communities framed as the location of both authentic Aboriginality and of threatening disorder. The intervention is framed as extending settler authority over this troubling terrain, containing and redeeming Aboriginality through inclusion in the settler nation’s moral order.

Aboriginality and the Northern Territory intervention

This thesis examines the construction of Aboriginality in recent public policy reasoning through identifying representations deployed by architects and supporters of the Commonwealth’s 2007 Northern Territory Emergency Response (the intervention). Debate about the Northern Territory intervention was explicitly situated in relation to a range of ideas about appropriate Government policy towards Indigenous people, and particularly about the nature, role, status, value and future of Aboriginality and of Aboriginal people and Torres Strait Islanders. This project involves analysis of constructions of Aboriginality deployed in texts created and circulated to explain and justify the policy program. The aim of the project is to identify the ideas about Aboriginality deployed by the intervention’s architects and supporters, and to examine the effects and implications of these discourses for political relationships between Indigenous people and settlers in Australia. This thesis will argue that advocates of the Northern Territory intervention construct Aboriginality in a range of important ways that reassert and reinforce the legitimacy of the settler colonial order and the project of Australian nationhood, and operate to limit Aboriginal claims. Specifically, it is argued that in linking Aboriginality to the abuse of Aboriginal children, the intervention’s advocates and supporters establish a political debate about the nature and future of Aboriginality within a discursive terrain in which the authority and perspectives of Indigenous people are problematised. Aboriginality is constructed in this process as both temporally and spatially separated from settler society, and in need of coercive integration into mainstream economic and political arrangements. Aboriginality is depicted by settler advocates of intervention as an anachronism, with Aboriginal people and cultures understood as primitive and/or savage precursors to settlers who are represented as modern and civilised. As such, the communities seen as the authentic home or location of Aboriginality represent a threat to Aboriginal children as well as to settlers. These constructions function to obscure the violence of the settler order, provide justification or moral rehabilitation for the colonising project, and reassert the sovereignty of the settler state. The resolution offered by the intervention’s advocates is a performance or enactment of settler sovereignty, representing a claim over and through both the territory of Aboriginal people and the discursive terrain of nationhood.

A cryptographic system based on finite field transforms

In this paper, we develop a cipher system based on finite field transforms. In this system, blocks of the input character-string are enciphered using congruence or modular transformations with respect to either primes or irreducible polynomials over a finite field. The polynomial system is shown to be clearly superior to the prime system for conventional cryptographic work.

Vascular growth factors and progenitor cells in cardiac allograft arteriosclerosis

Heart transplantation is the only therapeutic modality for many end-stage heart diseases but poor long-term survival remains a challenging problem. This is mainly due to the development of cardiac allograft arteriosclerosis (TxCAD) that is an accelerated form of coronary artery disease. Both traditional cardiovascular and transplantation-related risk factors for TxCAD have been identified but options for therapy are limited. TxCAD involves dysfunction of cardiac allograft vascular cells. Activated endothelial cells (EC) regulate allograft inflammation and secrete smooth muscle cell (SMC) growth factors. In turn, SMC and their progenitors invade the intima of the injured vessels and occlude the affected coronary arteries. Different vascular growth factors have to be delicately regulated in normal vascular development. In the present study, experimental heterotopic transplantation models were used to study the role of angiogenic and pro-inflammatory vascular endothelial growth factor (VEGF), EC growth factor angiopoietin (Ang), and SMC mitogen platelet-derived growth factor (PDGF) in the development of TxCAD. Pharmacological and gene transfer approaches were used to target these growth factors and to assess their therapeutic potential. This study shows that alloimmune response in heart transplants upregulates VEGF expression, and induces allograft angiogenesis that involves donor-derived primitive EC. Intracoronary adenoviral VEGF gene transfer increased macrophage infiltration, intimal angiogenesis and TxCAD. VEGF inhibition with PTK787 decreased allograft inflammation and TxCAD, and simultaneous PDGF inhibition with imatinib further decreased TxCAD. Specific inhibition of two VEGF-receptors (VEGFR) decreased allograft inflammation and TxCAD, and VEGFR-2 inhibition normalized the density of primitive and mature capillaries in the allografts. Adenovirus-mediated transient Ang1 expression in the allograft had anti-inflammatory and anti-arteriosclerotic effects. Adeno-associated virus (AAV)-mediated prolonged Ang1 or Ang2 expression had similar anti-inflammatory effects. However, AAV-Ang1 activated allograft SMC whereas AAV-Ang2 had no effects on SMC activation and decreased the development of TxCAD. These studies indicate an interplay of inflammation, angiogenesis and arteriosclerosis in cardiac allografts, and show that vascular growth factors are important regulators in the process. Also, VEGF inhibition, PDGF inhibition and angiopoietin therapy with clinically-relevant pharmacological agents or novel gene therapy approaches may counteract vascular dysfunction in cardiac allografts, and have beneficial effects on the survival of heart transplant patients in the future.

3D Acoustic Analysis Of Spherical Chamber Having Single Inlet And Multiple Outlet: An Impedance Matrix Approach

The transmission loss (TL) performance of spherical chambers having single inlet and multiple outlet is obtained analytically through modal expansion of acoustic field inside the spherical cavity in terms of the spherical Bessel functions and Legendre polynomials. The uniform piston driven model based upon the impedance [Z] matrix is used to characterize the multi-port spherical chamber. It is shown analytically that the [Z] parameters are independent of the azimuthal angle (phi) due to the axisymmetric shape of the sphere; rather, they depend only upon the polar angle (theta) and radius of the chamber R(0). Thus, the effects of relative polar angular location of the ports and number of outlet ports are investigated. The analytical results are shown to be in good agreement with the 3D FEA results, thereby validating the procedure suggested in this work.

Feature Selection based on Rough Sets and Particle Swarm Optimization

X. Wang, J. Yang, X. Teng, W. Xia, and R. Jensen. Feature Selection based on Rough Sets and Particle Swarm Optimization. Pattern Recognition Letters, vol. 28, no. 4, pp. 459-471, 2007.

Hoxa6 potentiates short-term hemopoietic cell proliferation and extended self-renewal.

Hemopoietic progenitor cells express clustered homeobox (Hox) genes in a pattern characteristic of their lineage and stage of differentiation. In general, HOX expression tends to be higher in more primitive and lower in lineage-committed cells. These trends have led to the hypothesis that self-renewal of hemopoietic stem/progenitor cells is HOX-dependent and that dysregulated HOX expression underlies maintenance of the leukemia-initiating cell. Gene expression profile studies support this hypothesis and specifically highlight the importance of the HOXA cluster in hemopoiesis and leukemogenesis. Within this cluster HOXA6 and HOXA9 are highly expressed in patients with acute myeloid leukemia and form part of the "Hox code" identified in murine models of this disease. We have examined endogenous expression of Hoxa6 and Hoxa9 in purified primary progenitors as well as four growth factor-dependent cell lines FDCP-Mix, EML, 32Dcl3, and Ba/F3, representative of early multipotential and later committed precursor cells respectively. Hoxa6 was consistently higher expressed than Hoxa9, preferentially expressed in primitive cells and was both growth-factor and cell-cycle regulated. Enforced overexpression of HOXA6 or HOXA9 in FDCP-Mix resulted in increased proliferation and colony formation but had negligible effect on differentiation. In both FDCP-Mix and the more committed Ba/F3 precursor cells overexpression of HOXA6 potentiated factor-independent proliferation. These findings demonstrate that Hoxa6 is directly involved in fundamental processes of hemopoietic progenitor cell development.

A Review of Operational Matrices and Spectral Techniques for Fractional Calculus

Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.

Scales, networks and uncertainty : an examination of environmental policy-making in Ontario

Through a case-study analysis of Ontario's ethanol policy, this thesis addresses a number of themes that are consequential to policy and policy-making: spatiality, democracy and uncertainty. First, I address the 'spatial debate' in Geography pertaining to the relevance and affordances of a 'scalar' versus a 'flat' ontoepistemology. I argue that policy is guided by prior arrangements, but is by no means inevitable or predetermined. As such, scale and network are pragmatic geographical concepts that can effectively address the issue of the spatiality of policy and policy-making. Second, I discuss the democratic nature of policy-making in Ontario through an examination of the spaces of engagement that facilitate deliberative democracy. I analyze to what extent these spaces fit into Ontario's environmental policy-making process, and to what extent they were used by various stakeholders. Last, I take seriously the fact that uncertainty and unavoidable injustice are central to policy, and examine the ways in which this uncertainty shaped the specifics of Ontario's ethanol policy. Ultimately, this thesis is an exercise in understanding sub-national environmental policy-making in Canada, with an emphasis on how policy-makers tackle the issues they are faced with in the context of environmental change, political-economic integration, local priorities, individual goals, and irreducible uncertainty.

Special functions of Weyl groups and their continuous and discrete orthogonality

Cette thèse s'intéresse à l'étude des propriétés et applications de quatre familles des fonctions spéciales associées aux groupes de Weyl et dénotées $C$, $S$, $S^s$ et $S^l$. Ces fonctions peuvent être vues comme des généralisations des polynômes de Tchebyshev. Elles sont en lien avec des polynômes orthogonaux à plusieurs variables associés aux algèbres de Lie simples, par exemple les polynômes de Jacobi et de Macdonald. Elles ont plusieurs propriétés remarquables, dont l'orthogonalité continue et discrète. En particulier, il est prouvé dans la présente thèse que les fonctions $S^s$ et $S^l$ caractérisées par certains paramètres sont mutuellement orthogonales par rapport à une mesure discrète. Leur orthogonalité discrète permet de déduire deux types de transformées discrètes analogues aux transformées de Fourier pour chaque algèbre de Lie simple avec racines des longueurs différentes. Comme les polynômes de Tchebyshev, ces quatre familles des fonctions ont des applications en analyse numérique. On obtient dans cette thèse quelques formules de <>, pour des fonctions de plusieurs variables, en liaison avec les fonctions $C$, $S^s$ et $S^l$. On fournit également une description complète des transformées en cosinus discrètes de types V--VIII à $n$ dimensions en employant les fonctions spéciales associées aux algèbres de Lie simples $B_n$ et $C_n$, appelées cosinus antisymétriques et symétriques. Enfin, on étudie quatre familles de polynômes orthogonaux à plusieurs variables, analogues aux polynômes de Tchebyshev, introduits en utilisant les cosinus (anti)symétriques.