17,409 research outputs found

    Algebraic structure of stochastic expansions and efficient simulation

    Full text link
    We investigate the algebraic structure underlying the stochastic Taylor solution expansion for stochastic differential systems.Our motivation is to construct efficient integrators. These are approximations that generate strong numerical integration schemes that are more accurate than the corresponding stochastic Taylor approximation, independent of the governing vector fields and to all orders. The sinhlog integrator introduced by Malham & Wiese (2009) is one example. Herein we: show that the natural context to study stochastic integrators and their properties is the convolution shuffle algebra of endomorphisms; establish a new whole class of efficient integrators; and then prove that, within this class, the sinhlog integrator generates the optimal efficient stochastic integrator at all orders.Comment: 19 page

    Kinetics and Inhibition Studies of the L205R Mutant of cAMP-Dependent Protein Kinase Involved in Cushingā€™s Syndrome

    Get PDF
    Overproduction of cortisol by the hypothalamusā€“pituitaryā€“adrenal hormone system results in the clinical disorder known as Cushing\u27s syndrome. Genomics studies have identified a key mutation (L205R) in the Ī±ā€isoform of the catalytic subunit of cAMPā€dependent protein kinase (PKACĪ±) in adrenal adenomas of patients with adrenocorticotropic hormoneā€independent Cushing\u27s syndrome. Here, we conducted kinetics and inhibition studies on the L205Rā€PKACĪ± mutant. We have found that the L205R mutation affects the kinetics of both Kemptide and ATP as substrates, decreasing the catalytic efficiency (kcat/KM) for each substrate by 12ā€fold and 4.5ā€fold, respectively. We have also determined the IC50 and Ki for the peptide substrateā€competitive inhibitor PKI(5ā€“24) and the ATPā€competitive inhibitor H89. The L205R mutation had no effect on the potency of H89, but causes a \u3e 250ā€fold loss in potency for PKI(5ā€“24). Collectively, these data provide insights for the development of L205Rā€PKACĪ± inhibitors as potential therapeutics

    Applying the partial credit method of Rasch analysis: language testing and accountability

    Full text link
    Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68583/2/10.1177_026553228900600109.pd

    Cannabinoid receptor interacting protein suppresses agonist-driven CB1 receptor internalization and regulates receptor replenishment in an agonist-biased manner

    Get PDF
    Cannabinoid receptor interacting protein 1a (CRIP1a) is a CB1 receptor (CB1R) distal C-terminus-associated protein that modulates CB1R signaling via G proteins, and CB1R down-regulation but not desensitization (Blume et al. [2015] Cell Signal., 27, 716-726; Smith et al. [2015] Mol. Pharmacol., 87, 747-765). In this study, we determined the involvement of CRIP1a in CB1R plasma membrane trafficking. To follow the effects of agonists and antagonists on cell surface CB(1)Rs, we utilized the genetically homogeneous cloned neuronal cell line N18TG2, which endogenously expresses both CB1R and CRIP1a, and exhibits a well-characterized endocannabinoid signaling system. We developed stable CRIP1a-over-expressing and CRIP1a-siRNA-silenced knockdown clones to investigate gene dose effects of CRIP1a on CB1R plasma membrane expression. Results indicate that CP55940 or WIN55212-2 (10 nM, 5 min) reduced cell surface CB1R by a dynamin-and clathrin-dependent process, and this was attenuated by CRIP1a over-expression. CP55940-mediated cell surface CB1R loss was followed by a cycloheximide-sensitive recovery of surface receptors (30120 min), suggesting the requirement for new protein synthesis. In contrast, WIN55212-2-mediated cell surface CB(1)Rs recovered only in CRIP1a knockdown cells. Changes in CRIP1a expression levels did not affect a transient rimonabant (10 nM)mediated increase in cell surface CB(1)Rs, which is postulated to be as a result of rimonabant effects on \u27non-agonist-driven\u27 internalization. These studies demonstrate a novel role for CRIP1a in agonist-driven CB1R cell surface regulation postulated to occur by two mechanisms: 1) attenuating internalization that is agonist-mediated, but not that in the absence of exogenous agonists, and 2) biased agonist-dependent trafficking of de novo synthesized receptor to the cell surface

    Dynamical percolation on general trees

    Full text link
    H\"aggstr\"om, Peres, and Steif (1997) have introduced a dynamical version of percolation on a graph GG. When GG is a tree they derived a necessary and sufficient condition for percolation to exist at some time tt. In the case that GG is a spherically symmetric tree, H\"aggstr\"om, Peres, and Steif (1997) derived a necessary and sufficient condition for percolation to exist at some time tt in a given target set DD. The main result of the present paper is a necessary and sufficient condition for the existence of percolation, at some time tāˆˆDt\in D, in the case that the underlying tree is not necessary spherically symmetric. This answers a question of Yuval Peres (personal communication). We present also a formula for the Hausdorff dimension of the set of exceptional times of percolation.Comment: 24 pages; to appear in Probability Theory and Related Field

    Associations between children's diet quality and watching television during meal or snack consumption: a systematic review

    Get PDF
    Studies have identified an association between watching television (TV) and childhood obesity. This review adds context to existing research by examining the associations between TV viewing, whilst eating, and children's diet quality. Web of Science and PubMed databases were searched from January 2000 to June 2014. Cross-sectional trials of case control or cohort studies, which included baseline data, measuring the associations between eating whilst watching TV and children's food and drink intake. Quality of selected papers was assessed. Thirteen studies, representing 61,674 children aged 1ā€“18 yrs, met inclusion criteria. Of six studies reporting overall food habits, all found a positive association between TV viewing and consumption of pizza, fried foods, sweets, and snacks. Of eight studies looking at fruit and vegetable consumption, seven identified a negative association with eating whilst watching TV (p < .0001). Four out of five studies identified a positive association between watching TV whilst eating and servings of sugar-sweetened beverages (p < .0001). Four studies identified an association between low socioeconomic status and increased likelihood of eating whilst watching TV (p ā‰¤ .01). Family meals did not overcome the adverse impact on diet quality of having the TV on at mealtimes. Eating whilst watching television is associated with poorer diet quality among children, including more frequent consumption of sugar-sweetened beverages and high-fat, high-sugar foods and fewer fruits and vegetables. Although these differences in consumption are small, the cumulative effect may contribute to the positive association between eating whilst watching TV and childhood obesity

    G-Brownian Motion as Rough Paths and Differential Equations Driven by G-Brownian Motion

    Full text link
    The present paper is devoted to the study of sample paths of G-Brownian motion and stochastic differential equations (SDEs) driven by G-Brownian motion from the view of rough path theory. As the starting point, we show that quasi-surely, sample paths of G-Brownian motion can be enhanced to the second level in a canonical way so that they become geometric rough paths of roughness 2 < p < 3. This result enables us to introduce the notion of rough differential equations (RDEs) driven by G-Brownian motion in the pathwise sense under the general framework of rough paths. Next we establish the fundamental relation between SDEs and RDEs driven by G-Brownian motion. As an application, we introduce the notion of SDEs on a differentiable manifold driven by GBrownian motion and construct solutions from the RDE point of view by using pathwise localization technique. This is the starting point of introducing G-Brownian motion on a Riemannian manifold, based on the idea of Eells-Elworthy-Malliavin. The last part of this paper is devoted to such construction for a wide and interesting class of G-functions whose invariant group is the orthogonal group. We also develop the Euler-Maruyama approximation for SDEs driven by G-Brownian motion of independent interest
    • ā€¦
    corecore