Modeling Vegetable Fractals by means of Fractional-order Equations

This paper characterizes four ‘fractal vegetables’: (i) cauliflower (brassica oleracea var. Botrytis); (ii) broccoli (brassica oleracea var. italica); (iii) round cabbage (brassica oleracea var. capitata) and (iv) Brussels sprout (brassica oleracea var. gemmifera), by means of electrical impedance spectroscopy and fractional calculus tools. Experimental data is approximated using fractional-order models and the corresponding parameters are determined with a genetic algorithm. The Havriliak-Negami five-parameter model fits well into the data, demonstrating that classical formulae can constitute simple and reliable models to characterize biological structures.

Control and Dynamics of Fractional Order Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades due to the progress in the area of nonlinear dynamics. This article discusses several applications of fractional calculus in science and engineering, namely: the control of heat systems, the tuning of PID controllers based on fractional calculus concepts and the dynamics in hexapod locomotion.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?

Measurement of the correlation between flow harmonics of different order in lead-lead collisions at root S-NN=2.76 TeV with the ATLAS detector

Correlations between the elliptic or triangular flow coefficients vm (m=2 or 3) and other flow harmonics vn (n=2 to 5) are measured using sNN−−−−√=2.76 TeV Pb+Pb collision data collected in 2010 by the ATLAS experiment at the LHC, corresponding to an integrated lumonisity of 7 μb−1. The vm-vn correlations are measured in midrapidity as a function of centrality, and, for events within the same centrality interval, as a function of event ellipticity or triangularity defined in a forward rapidity region. For events within the same centrality interval, v3 is found to be anticorrelated with v2 and this anticorrelation is consistent with similar anticorrelations between the corresponding eccentricities ϵ2 and ϵ3. On the other hand, it is observed that v4 increases strongly with v2, and v5 increases strongly with both v2 and v3. The trend and strength of the vm-vn correlations for n=4 and 5 are found to disagree with ϵm-ϵn correlations predicted by initial-geometry models. Instead, these correlations are found to be consistent with the combined effects of a linear contribution to vn and a nonlinear term that is a function of v22 or of v2v3, as predicted by hydrodynamic models. A simple two-component fit is used to separate these two contributions. The extracted linear and nonlinear contributions to v4 and v5 are found to be consistent with previously measured event-plane correlations.

Manipulación acustica del orden y dinámica molecular en estructuras mesomorficas de organización lamelar. Acoustic manipulation of molecular order and dynamics in mesomorphic structures of lamellar organization.

El control de propiedades hidrodinámicas capaces de influir en la mecánica de ruptura y poración de sistemas lamelares o membranas es de fundamental interés para diferentes aplicaciones biotecnológicas. Resulta de particular interés la conexión entre los procesos microscópicos relacionados al tipo de moléculas o unidades básicas, el orden determinado en el auto-ensamblado de las mismas y la dinámica local del sistema, con las propiedades físicas que determinan el comportamiento macroscópico bajo estimulación acústica. Resultados logrados recientemente sugieren la existencia de resonancias hidrodinámicas que podrian ser utilizadas para lograr la inestabilidad del sistema a baja potencia acústica. Se realizaran estudios experimentales utilizando principalmente técnicas que combinan resonancia magnética nuclear (RMN) y la sonicación de la muestra. También se realizarán estudios teóricos y simulaciones numéricas que permitan modelar los sistemas bajo estudio. Se propone dar continuidad al desarrollo de una técnica de relaxometría magnética nuclear en la cual se estimula acústicamente a la muestra durante el proceso de relajación magnética nuclear, y continuar la implementación de técnicas de RMN con resolución espacial que permitan complementar los estudios mencionados. Se espera comprender los mecanismos físicos que determinan la estabilidad de fases lamelares, logrando un modelo verificable y consistente que permita relacionar las propiedades mecánicas e hidrodinámicas con las propiedades de orden y dinámica molecular. Asimismo, se espera lograr avances en el desarrollo de las técnicas experimentales involucradas. La importancia del proyecto radica en el enfoque del problema. A diferencia de casi la totalidad de los estudios reportados, nuestro interés se enfoca en mecanismos de interacción entre la membrana y el campo acústico que sean eficientes a baja potencia acústica, en un régimen donde los gradientes térmicos y la cavitación sean despreciables.

Existence, multiplicity and behaviour of solutions of some elliptic differential equations of higher order

Magdeburg, Univ., Fak. für Mathematik, Diss., 2009

Line-fitting method of model order reduction for elastic multibody systems

Magdeburg, Univ., Fak. für Maschinenbau, Diss., 2015

Periodic solutions of second-order differential inclusions systems with p-Laplacian

Some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p-Laplacian

On moduli of smoothness of fractional order

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

An investigation of customer order flow in the foreign exchange market

This paper examines the effect that heterogeneous customer orders flows have on exchange rates by using a new, and the largest, proprietary dataset of weekly net order flow segmented by customer type across nine of the most liquid currency pairs. We make several contributions. Firstly, we investigate the extent to which customer order flow can help to explain exchange rate movements over and above the influence of macroeconomic variables. Secondly, we address the issue of whether order flows contain (private) information which explain exchange rates changes. Thirdly, we look at the usefulness of order flow in forecasting exchange rate movements at longer horizons than those generally considered in the microstructure literature. Finally we address the question of whether the out-of-sample exchange rate forecasts generated by order flows can be employed profitably in the foreign exchange markets

On the number of higher order Delaunay triangulations

"Vegeu el resum a l'inici del document del fitxer adjunt."

Format of medical order sheet improves security of antibiotics prescription: The experience of an intensive care unit.

OBJECTIVE: To assess whether formatting the medical order sheet has an effect on the accuracy and security of antibiotics prescription. DESIGN: Prospective assessment of antibiotics prescription over time, before and after the intervention, in comparison with a control ward. SETTING: The medical and surgical intensive care unit (ICU) of a university hospital. PATIENTS: All patients hospitalized in the medical or surgical ICU between February 1 and April 30, 1997, and July 1 and August 31, 2000, for whom antibiotics were prescribed. INTERVENTION: Formatting of the medical order sheet in the surgical ICU in 1998. MEASUREMENTS AND MAIN RESULTS: Compliance with the American Society of Hospital Pharmacists' criteria for prescription safety was measured. The proportion of safe orders increased in both units, but the increase was 4.6 times greater in the surgical ICU (66% vs. 74% in the medical ICU and 48% vs. 74% in the surgical ICU). For unsafe orders, the proportion of ambiguous orders decreased by half in the medical ICU (9% vs. 17%) and nearly disappeared in the surgical ICU (1% vs. 30%). The only missing criterion remaining in the surgical ICU was the drug dose unit, which could not be preformatted. The aim of antibiotics prescription (either prophylactic or therapeutic) was indicated only in 51% of the order sheets. CONCLUSIONS: Formatting of the order sheet markedly increased security of antibiotics prescription. These findings must be confirmed in other settings and with different drug classes. Formatting the medical order sheet decreases the potential for prescribing errors before full computerized prescription is available.

Modulation of Higher-Order Olfaction Components on Executive Functions in Humans.

The prefrontal (PFC) and orbitofrontal cortex (OFC) appear to be associated with both executive functions and olfaction. However, there is little data relating olfactory processing and executive functions in humans. The present study aimed at exploring the role of olfaction on executive functioning, making a distinction between primary and more cognitive aspects of olfaction. Three executive tasks of similar difficulty were used. One was used to assess hot executive functions (Iowa Gambling Task-IGT), and two as a measure of cold executive functioning (Stroop Colour and Word Test-SCWT and Wisconsin Card Sorting Test-WCST). Sixty two healthy participants were included: 31 with normosmia and 31 with hyposmia. Olfactory abilities were assessed using the ''Sniffin' Sticks'' test and the olfactory threshold, odour discrimination and odour identification measures were obtained. All participants were female, aged between 18 and 60. Results showed that participants with hyposmia displayed worse performance in decision making (IGT; Cohen's-d = 0.91) and cognitive flexibility (WCST; Cohen's-d between 0.54 and 0.68) compared to those with normosmia. Multiple regression adjusted by the covariates participants' age and education level showed a positive association between odour identification and the cognitive inhibition response (SCWT-interference; Beta = 0.29; p = .034). The odour discrimination capacity was not a predictor of the cognitive executive performance. Our results suggest that both hot and cold executive functions seem to be associated with higher-order olfactory functioning in humans. These results robustly support the hypothesis that olfaction and executive measures have a common neural substrate in PFC and OFC, and suggest that olfaction might be a reliable cognitive marker in psychiatric and neurologic disorders.