A chain morphism for Adams operations on rational algebraic K-theory

For any regular noetherian scheme X and every k>0, we define a chain morphism between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K-groups of X tensored by the field of rational numbers. It is shown that these morphisms induce in homology the Adams operations defined by Gillet and Soule or the ones defined by Grayson.Comment: 40 page

Immunity against fungal beta 1,3 glucan carbohydrate in the gastrointestinal tract

Inflammatory Bowel Disease (IBD) is a debilitating, life- long disease that affects about 1.4 millions Americans. Little is known about the pathogenesis of IBD and an effective cure still remains to be discovered. While there are numerous T cell targeting therapies for IBD, more research is still needed. Bispecific T Cell Engagers, BiTES, is a modified protein capable of engaging two antigens simultaneously; it is capable of activating T cells by circumventing the MHC protein molecule. This provides an alternative to the current molecular therapies for IBD. In addition to monoclonal therapy research, there has been a plethora of research on immunomodulatory molecules, such as β- glucan. The benefit of β-glucan has been shown with supplements and food sources alike in animal models. In this study, we used BiTES, CMPD-1, with an anti-CD3/ Dectin-1 epitopes capable of engaging T Cells and β-glucan in beads and fungi cell wall. CMPD-1 is capable of engaging Splenic and Lamina Propia T Cells from a C57BL/6 mice. Likewise, CMPD-1 engaged T cells to hyphae of C. albicans and A. fumigatus, which have a higher concentration of β-glucan than in the candida form. The data show a delayed in hyphae growth in yeast with CMPD-1 and a decrease in yeast growth for the first four hours when compared to non- BiTES molecules. Additionally, qualitative analysis of CMPD-1 shows a decrease A. fumigatus growth after a 72-hour incubation period. Splenic T cells from mice lacking Dectin-1 and Wild-type (WT) mouse strains where incubated with BiTES compound and yeast for 23 hours followed by a PrestoBlue killing assay to assess yeast cell viability. The PrestoBlue assay showed that CMPD-1 killed more A. fumigatus in both T cell subsets; although, the difference lacked statistical significance. The applications of this molecule as a therapeutic agent for IBD are promising, although, still in its infancy. An alternative use for this molecule is to train the immune system with the BiTES molecule in conjunction with β-glucan supplements to build immunity against opportunistic pathogens such as A. fumigatus and C. albicans that often cause havoc in IBD patients as a result of the changes in microbiota, and compromised integrity of the GI tract.2017-06-16T00:00:00

Adams operations on higher arithmetic K-theory

We construct Adams operations on the rational higher arithmetic K-groups of a proper arithmetic variety. The definition applies to the higher arithmetic K-groups given by Takeda as well as to the groups suggested by Deligne and Soule, by means of the homotopy groups of the homotopy fiber of the regulator map. They are compatible with the Adams operations on algebraic K-theory. The definition relies on the chain morphism representing Adams operations in higher algebraic K-theory given previously by the author. In this paper it is shown that a slight modification of this chain morphism commutes strictly with the representative of the Beilinson regulator given by Burgos and Wang

Video object segmentation introducing depth and motion information

We present a method to estimate the relative depth between objects in scenes of video sequences. The information for the estimation of the relative depth is obtained from the overlapping produced between objects when there is relative motion as well as from motion coherence between neighbouring regions. A relaxation labelling algorithm is used to solve conflicts and assign every region to a depth level. The depth estimation is used in a segmentation scheme which uses grey level information to produce a first segmentation. Regions of this partition are merged on the basis of their depth level.Peer ReviewedPostprint (published version

Power-law Kinetics and Determinant Criteria for the Preclusion of Multistationarity in Networks of Interacting Species

We present determinant criteria for the preclusion of non-degenerate multiple steady states in networks of interacting species. A network is modeled as a system of ordinary differential equations in which the form of the species formation rate function is restricted by the reactions of the network and how the species influence each reaction. We characterize families of so-called power-law kinetics for which the associated species formation rate function is injective within each stoichiometric class and thus the network cannot exhibit multistationarity. The criterion for power-law kinetics is derived from the determinant of the Jacobian of the species formation rate function. Using this characterization we further derive similar determinant criteria applicable to general sets of kinetics. The criteria are conceptually simple, computationally tractable and easily implemented. Our approach embraces and extends previous work on multistationarity, such as work in relation to chemical reaction networks with dynamics defined by mass-action or non-catalytic kinetics, and also work based on graphical analysis of the interaction graph associated to the system. Further, we interpret the criteria in terms of circuits in the so-called DSR-graphComment: To appear in SIAM Journal on Applied Dynamical System

Two-echelon freight transport optimisation: unifying concepts via a systematic review

Multi-echelon distribution schemes are one of the most common strategies adopted by the transport companies in an aim of cost reduction, but their identification in scientific literature is not always easy due to a lack of unification. This paper presents the main concepts of two-echelon distribution via a systematic review, in the specific a meta-narrative analysis, in order to identify and unify the main concepts, issues and methods that can be helpful for scientists and transport practitioners. The problem of system cost optimisation in two-echelon freight transport systems is defined. Moreover, the main variants are synthetically presented and discussed. Finally, future research directions are proposed.location-routing problems, multi-echelon distribution, cross-docking, combinatorial optimisation, systematic review.

Freight distribution systems with cross-docking: a multidisciplinary analysis

Freight transport constitutes one of the main activities that influences economy and society, as it assures a vital link between suppliers and customers and it represents a major source of employment. Multi-echelon distribution is one of the most common strategies adopted by the transport companies in an aim of cost reduction. This paper presents the main concepts of multi-echelon distribution with cross-docks through a multidisciplinary analysis that includes an optimisation study (using both exact and heuristic methods), a geographic approach (based on the concept of accessibility) and a socio-economic analysis. a conceptual framework for logistics and transport pooling systems, as well as a simulation method for strategic planning optimisation.Freight transport systems, cross-docking, simulation, collaboration, socio-economic issues