236 research outputs found

    Generalized Fitch Graphs III: Symmetrized Fitch maps and Sets of Symmetric Binary Relations that are explained by Unrooted Edge-labeled Trees

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    Binary relations derived from labeled rooted trees play an import role in mathematical biology as formal models of evolutionary relationships. The (symmetrized) Fitch relation formalizes xenology as the pairs of genes separated by at least one horizontal transfer event. As a natural generalization, we consider symmetrized Fitch maps, that is, symmetric maps Δ\varepsilon that assign a subset of colors to each pair of vertices in XX and that can be explained by a tree TT with edges that are labeled with subsets of colors in the sense that the color mm appears in Δ(x,y)\varepsilon(x,y) if and only if mm appears in a label along the unique path between xx and yy in TT. We first give an alternative characterization of the monochromatic case and then give a characterization of symmetrized Fitch maps in terms of compatibility of a certain set of quartets. We show that recognition of symmetrized Fitch maps is NP-complete. In the restricted case where ∣Δ(x,y)âˆŁâ‰€1|\varepsilon(x,y)|\leq 1 the problem becomes polynomial, since such maps coincide with class of monochromatic Fitch maps whose graph-representations form precisely the class of complete multi-partite graphs

    Generalized Fitch Graphs II: Sets of Binary Relations that are explained by Edge-labeled Trees

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    Fitch graphs G=(X,E)G=(X,E) are digraphs that are explained by {∅,1}\{\emptyset, 1\}-edge-labeled rooted trees TT with leaf set XX: there is an arc (x,y)∈E(x,y) \in E if and only if the unique path in TT that connects the last common ancestor lca(x,y)\mathrm{lca}(x,y) of xx and yy with yy contains at least one edge with label "1". In practice, Fitch graphs represent xenology relations, i.e., pairs of genes xx and yy for which a horizontal gene transfer happened along the path from lca(x,y)\mathrm{lca}(x,y) to yy. In this contribution, we generalize the concept of Fitch graphs and consider trees TT that are equipped with edge-labeling λ:E→P(M)\lambda: E\to \mathcal{P}(M) that assigns to each edge a subset Mâ€Č⊆MM'\subseteq M of colors. Given such a tree, we can derive a map Δ(T,λ)\varepsilon_{(T,\lambda)} (or equivalently a set of not necessarily disjoint binary relations), such that i∈Δ(T,λ)(x,y)i\in \varepsilon_{(T,\lambda)}(x,y) (or equivalently (x,y)∈Ri(x,y)\in R_i) with x,y∈Xx,y\in X, if and only if there is at least one edge with color ii from lca(x,y)\mathrm{lca}(x,y) to yy. The central question considered here: Is a given map Δ\varepsilon a Fitch map, i.e., is there there an edge-labeled tree (T,λ)(T,\lambda) with Δ(T,λ)=Δ\varepsilon_{(T,\lambda)} = \varepsilon, and thus explains Δ\varepsilon? Here, we provide a characterization of Fitch maps in terms of certain neighborhoods and forbidden submaps. Further restrictions of Fitch maps are considered. Moreover, we show that the least-resolved tree explaining a Fitch map is unique (up to isomorphism). In addition, we provide a polynomial-time algorithm to decide whether Δ\varepsilon is a Fitch map and, in the affirmative case, to construct the (up to isomorphism) unique least-resolved tree (T∗,λ∗)(T^*,\lambda^*) that explains Δ\varepsilon

    Production of negative-emissions steel using a reducing gas derived from dfb gasification

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    A dual fluidized bed (DFB) gasification process is proposed to produce sustainable reducing gas for the direct reduction (DR) of iron ore. This novel steelmaking route is compared with the established process for DR, which is based on natural gas, and with the emerging DR technology using electrolysis-generated hydrogen as the reducing gas. The DFB-DR route is found to produce reducing gas that meets the requirement of the DR reactor, based on existing MIDREX plants, and which is produced with an energetic efficiency comparable with the natural gas route. The DFB-DR path is the only route considered that allows negative CO2 emissions, enabling a 145% decrease in emissions relative to the traditional blast furnace–basic oxygen furnace (BF–BOF) route. A reducing gas cost between 45–60 EUR/MWh is obtained, which makes it competitive with the hydrogen route, but not the natural gas route. The cost estimation for liquid steel production shows that, in Sweden, the DFB-DR route cannot compete with the natural gas and BF–BOF routes without a cost associated with carbon emissions and a revenue attributed to negative emissions. When the cost and revenue are set as equal, the DFB-DR route becomes the most competitive for a carbon price >60 EUR/tCO2

    Generation of integration free induced pluripotent stem cells from fibrodysplasia ossificans progressiva (FOP) patients from urine samples

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    Fibrodysplasia ossificans progressiva (FOP) is an extremely rare, autosomal dominant transmitted genetic disease. Patients experience progressive bone formation replacing tendons, ligaments, muscle and soft tissue. Cause of FOP are gain-of-function mutations in the Bone Morphogenetic Protein (BMP) receptor Activin A receptor type 1 (ACVR1) ( Kaplan et al., 2008). The most common mutation is R206H, which leads to the substitution of codon 206 from arginine to histidine (Shore et al., 2006). Here, we describe the derivation and characterization of two hiPSC lines from two FOP patients, both carrying the mutation R206H. Cells were isolated from urine and reprogrammed using integration free Sendai virus vectors under defined conditions

    INFluENCE OF VESSEl TypE, phySICal STaTE OF MEdIuM aNd TEMpOrary IMMErSION ON ThE MICrOprOpagaTION OF ThrEE Rhodophiala SpECIES

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    aBSTraCT Rhodophiala C. Presl (Amaryllidaceae) is a genus of attractive flowering geophytes native to South America. They have ornamental value, but most species are not well-known and have conservation problems. The objective of this study was to optimize a micropropagation process to support the use and preservation of three Chilean native species, R. montana (Phil.) Traub, R. splendens (Rengifo) Traub., and R. ananuca (Phil.) Traub. The research evaluated the feasibility of implementing liquid medium culture and assessed the influence of different tissue culture systems on the shoot production and biomass increment of small bulbs. Three experiments were carried out. The first one determined the influences of flask size and volume of media; the second compared liquid and solid media, and in the third experiment, a temporary immersion system (TIS), and conventional culture in static liquid, shaken liquid and gelled Murashige and Skoog (MS) media were compared. By using larger (350 mL) flasks with higher (50 mL) media volume, 100% more fresh weight of microbulb was obtained that treatment with smaller flasks (45 mL) and media volume (10 mL). In gelled medium, hyperhydricity affected only 5% of explants, while in liquid medium was 16-40%. Survival to acclimatization reached 87-94% for plants from gelled medium; from liquid medium only 38-69%. TIS yielded higher propagation rate (1.9 shoots in 30 d) compared with shaken liquid medium (1.0) (P < 0.05) in R. ananuca only. Current procedures are appropriate for the support of ex situ conservation and germplasm bank establishment

    Origin of the highest energy cosmic rays observed

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    Introducing a simple Galactic wind model patterned after the solar wind we show that back-tracing the orbits of the highest energy cosmic events suggests that they may all come from the Virgo cluster, and so probably from the active radio galaxy M87. This confirms a long standing expectation. Those powerful radio galaxies that have their relativistic jets stuck in the interstellar medium of the host galaxy, such as 3C147, will then enable us to derive limits on the production of any new kind of particle, expected in some extensions of the standard model in particle physics. New data from HIRES will be crucial in testing the model proposed here.Comment: At TAUP99, the 6th international workshop on topics in Astroparticle Physics and Underground Physics, College de France, Eds. J. Dumarchez, M. Froissart, D. Vignaud, (Sep 1999
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