Experimental and computational study on the synthesis and characterization of self-assembling meso/macroporous materials in highly concentrated emulsions

Report for the scientific sojourn carried out at Massachusetts General Hospital Cancer Center-Harvard Medical School, Estats Units, from 2010 to 2011. The project aims to study the aggregation behavior of amphiphilic molecules in the continuous phase of highly concentrated emulsions, which can be used as templates for the synthesis of meso/macroporous materials. At this stage of the project, we have investigated the self-assembly of diblock and triblock surfactants under the effect of a confined geometry being surrounded by the droplets of the dispersed phase. These droplets limit the growth of the aggregates, deeply modify their orientation and hence alter their spatial arrangement as compared to the self-assembly taking place far enough from any boundary surface, that is in the bulk. By performing Monte Carlo simulations, we have showed that the interface between the dispersed and continuous phases as well as its shape has a significant impact on the structural order of the resulting aggregates and hence on the potential applications of highly concentrated emulsions as reaction media, drug delivery systems, or templates for meso/macroporous materials. Due to the combined effect of symmetry breaking and morphological frustration, very intriguing structures, such as square columnar liquid crystals, twisted X-shaped aggregates, and helical phases of cylindrical aggregates, never observed in the bulk for the same model surfactant, have been found. The presence of other more conventional structures, such as micelles and cubic and hexagonal liquid crystals, formed at low and high amphiphilic concentrations, respectively, further enhance the interest on this already rich aggregation behavior.

Induction of MC-1 immunoreactivity in axons after injection of the Fc fragment of human immunoglobulins in macaque monkeys.

Although previous studies have suggested an increased activation of humoral immunity in neurodegenerative diseases, it remains unclear whether this phenomenon is secondary to lesion formation or contributes directly to their development. Using stereotaxic injections in macaque monkey cerebral cortex, we studied the effects of human immunoglobulins on the neuronal cytoskeleton. Under these conditions, several MC-1-immunoreactive axons were observed in the vicinity of injection site. No MC-1 or TG-3 staining was detected in neuronal soma. Ultrastructurally, several axons in the same area displayed curly formations and accumulation of twisted tubules but not paired helical filaments. These data suggest that Fc fragment induce conformational changes of tau and subtle structural alterations in axons in this model. Immunocytochemical analyses in human autopsy materials revealed the presence of human Fc fragments as well as Fc receptors only in large pyramidal neurons known to be vulnerable in brain aging and Alzheimer's disease, further supporting a possible role of immunoglobulins in neurodegeneration.

Analysis of matched matrices

We consider the joint visualization of two matrices which have common rowsand columns, for example multivariate data observed at two time pointsor split accord-ing to a dichotomous variable. Methods of interest includeprincipal components analysis for interval-scaled data, or correspondenceanalysis for frequency data or ratio-scaled variables on commensuratescales. A simple result in matrix algebra shows that by setting up thematrices in a particular block format, matrix sum and difference componentscan be visualized. The case when we have more than two matrices is alsodiscussed and the methodology is applied to data from the InternationalSocial Survey Program.

After Satan: Essays in Honour of Neil Forsyth

This volume is the result of a collective desire to pay homage to Neil Forsyth, whose work has significantly contributed to scholarship on Satan. This volume is "after" Satan in more ways than one, tracing the afterlife of both the satanic figure in literature and of Neil Forsyth's contribution to the field, particularly in his major books The Old Enemy: Satan and the Combat Myth (Princeton University Press, 1987, revised 1990) and The Satanic Epic (Princeton University Press, 2003). The essays in this volume draw on Forsyth's work as a focus for their analyses of literary encounters with evil or with the Devil himself, reflecting the richness and variety of contemporary approaches to the age-old question of how to represent evil. All the contributors acknowledge Neil Forsyth's influence in the study of both the Satan-figure and Milton's Paradise Lost. But beyond simply paying homage to Neil Forsyth, the articles collected here trace the lineage of the Satan figure through literary history, showing how evil can function as a necessary other against which a community may define itself. They chart the demonised other through biblical history and medieval chronicle, Shakespeare and Milton, to nineteenth-century fiction and the contemporary novel. Many of the contributors find that literary evil is mediated through the lens of the Satan of Paradise Lost, and their articles address the notion, raised by Neil Forsyth in The Satanic Epic, that the literary Devil-figures under consideration are particularly interested in linguistic ambivalence and the twisted texture of literary works themselves. The multiple responses to evil and the continuous reinvention of the devil figure through the centuries all reaffirm the textual presence of the Devil, his changing forms necessarily inscribed in the shifting history of western literary culture. These essays are a tribute to the work of Neil Forsyth, whose scholarship has illuminated and guided the study of the Devil in English and other literatures.

Homotopy Batalin-Vilkovisky algebras

This paper provides an explicit cofibrant resolution of the operad encoding Batalin-Vilkovisky algebras. Thus it defines the notion of homotopy Batalin-Vilkovisky algebras with the required homotopy properties. To define this resolution we extend the theory of Koszul duality to operads and properads that are defind by quadratic and linear relations. The operad encoding Batalin-Vilkovisky algebras is shown to be Koszul in this sense. This allows us to prove a Poincare-Birkhoff-Witt Theorem for such an operad and to give an explicit small quasi-free resolution for it. This particular resolution enables us to describe the deformation theory and homotopy theory of BV-algebras and of homotopy BV-algebras. We show that any topological conformal field theory carries a homotopy BV-algebra structure which lifts the BV-algebra structure on homology. The same result is proved for the singular chain complex of the double loop space of a topological space endowed with an action of the circle. We also prove the cyclic Deligne conjecture with this cofibrant resolution of the operad BV. We develop the general obstruction theory for algebras over the Koszul resolution of a properad and apply it to extend a conjecture of Lian-Zuckerman, showing that certain vertex algebras have an explicit homotopy BV-algebra structure.

André spectral sequences for Baues-Wirsching cohomology of categories

We construct spectral sequences in the framework of Baues-Wirsching cohomology and homology for functors between small categories and analyze particular cases including Grothendieck fibrations. We also give applications to more classical cohomology and homology theories including Hochschild-Mitchell cohomology and those studied before by Watts, Roos, Quillen and others

Macaulay style formulas for sparse resultants

We present formulas for computing the resultant of sparse polyno- mials as a quotient of two determinants, the denominator being a minor of the numerator. These formulas extend the original formulation given by Macaulay for homogeneous polynomials.

On the depth of blowup algebras of ideals with analytic deviation one

Let I be an ideal in a local Cohen-Macaulay ring (A, m). Assume I to be generically a complete intersection of positive height. We compute the depth of the Rees algebra and the form ring of I when the analytic deviation of I equals one and its reduction number is also at most one. The formu- las we obtain coincide with the already known formulas for almost complete intersection ideals.

From Galilean-invariant to relativistic wave equations

Through an imaginary change of coordinates in the Galilei algebra in 4 space dimensions and making use of an original idea of Dirac and Lvy-Leblond, we are able to obtain the relativistic equations of Dirac and of Bargmann and Wigner starting with the (Galilean-invariant) Schrdinger equation.

D-String on near horizon geometries and infinite conformal symmetry

We show that the symmetries of effective D-string actions in constant dilaton backgrounds are directly related to homothetic motions of the background metric. In the presence of such motions, there are infinitely many nonlinearly realized rigid symmetries forming a loop (or looplike) algebra. Near horizon (antideSitter) D3 and D1+D5 backgrounds are discussed in detail and shown to provide 2D interacting field theories with infinite conformal symmetry.

The groups of Poincaré and Galilei in arbitrary dimensional spaces

In arbitrary dimensional spaces the Lie algebra of the Poincaré group is seen to be a subalgebra of the complex Galilei algebra, while the Galilei algebra is a subalgebra of Poincar algebra. The usual contraction of the Poincar to the Galilei group is seen to be equivalent to a certain coordinate transformation.

Poincaré is a subgroup of Galilei in one space dimension more

Through an imaginary change of coordinates, the ordinary Poincar algebra is shown to be a subalgebra of the Galilei one in four space dimensions. Through a subsequent contraction the remaining Lie generators are eliminated in a natural way. An application of these results to connect Galilean and relativistic field equations is discussed.

Poincar wave equations as Fourier transformations of Galilei wave equations

The relationship between the Poincar and Galilei groups allows us to write the Poincar wave equations for arbitrary spin as a Fourier transform of the Galilean ones. The relation between the Lagrangian formulation for both cases is also studied.