Dynamische Analyse großer, verkoppelter Systeme mit Methoden der Komplexen Netzwerke am Beispiel des Inverse-Response-Verhaltens

Die zunehmende Vernetzung der Energie-, Stoff- und Informationsströme, z. B. innerhalb von Produktionsanlagen, begründet das Interesse an Methoden, welche eine Analyse der Systemeigenschaften von großen und verkoppelten dynamischen Systemen bereits in einem frühen Entwicklungsstadium ermöglichen. Dabei ist das Gesamtsystemverhalten von Interesse, welches sowohl auf der Dynamik der Teilsysteme als auch der Verkopplungen beruht. In der vorliegenden Arbeit wird eine neue Methode zur qualitativen Analyse von Systemen auf Inverse-Response-Verhalten vorgestellt. Der Ansatz nutzt Komplexe Netzwerke zur Modellbeschreibung, wobei diese um Kantengewichte ergänzt werden, welche das dynamische Verhalten des modellierten Systems beschreiben. Der vorgestellte Detektionsalgorithmus vergleicht die Pfade des Graphen zwischen den betrachteten Ein- und Ausgängen. Hierfür werden die aggregierten Kantengewichte der Pfade bestimmt und zur Ermittlung der qualitativen Aussage zum Inverse-Response-Verhalten herangezogen. Der Analyseansatz bietet somit eine einfach anwendbare Alternative zur Auswertung der positiven Nullstellen des Systems, welche auf die notwendige sowie hinreichende Bedingung für das Inverse-Response-Verhalten eines linearen Systems zurückgreift: eine ungerade Anzahl positiver Nullstellen. Das entwickelte Verfahren wurde erfolgreich an einer flexibel konfigurierbaren Prozessinsel der Modellfabrik μPlant des Fachgebiets Mess- und Regelungstechnik der Universität Kassel getestet.

Age determination of sediment cores close to the Strait of Gibralta

A suit of sediment cores close to and south of the Strait of Gibraltar (12°-36°N, 500-2800 m water depth) were analyzed for stable isotopes in epibenthic foraminifers Cibicidoides wuellerstorfi and Planulina ariminensis. During peak glacial times, the data exhibit higher delta13C values of up to 1.6 per mil at intermediate depths near the Strait of Gibraltar (36°N). The values decrease to the south as evidenced by our data, but also to the north as revealed by data of intermediate depth cores north of 38°N (in Duplessy et al. (1987)). Thus, the distribution pattern of delta13C provides crucial evidence for an increased influence of nutrient depleted Mediterranean Outflow Water (MOW) on the glacial northeast Atlantic hydrography. During oxygen isotope Terminations I and II, the meridional carbon isotope gradient indicates a significantly decreased but still active MOW. As deduced from the delta18O fluctuations, the temperatures of the MOW in the Atlantic were lower during glacial times by as much as 5°C. During glacial times and during Termination I the maximum delta13C values of the MOW correlate with minimum values of the North Atlantic Deep Water (NADW) and vice versa. This inverse response to climatic change of the carbon isotope signals of both water masses indicates, that the supply of saline MOW to the north Atlantic may be less important for the formation of NADW than previously assumed.

Nuevo método de identificación usando la respuesta escalón para sistemas de fase no mínima de segundo orden

Este artículo presenta un nuevo método de identificación para sistemas de fase no mínima basado en la respuesta escalón. El enfoque propuesto provee un modelo aproximado de segundo orden evitando diseños experimentales complejos. El método propuesto es un algoritmo de identificación cerrado basado en puntos característicos de la respuesta escalón de sistemas de fase no mínima de segundo orden. Él es validado usando diferentes modelos lineales. Ellos tienen respuesta inversa entre 3,5% y 38% de la respuesta en régimen permanente. En simulaciones, ha sido demostrado que resultados satisfactorios pueden ser obtenidos usando el procedimiento de identificación propuesto, donde los parámetros identificados presentan errores relativos medios, menores que los obtenidos mediante el método de Balaguer.

Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test

In this article, we use the no-response test idea, introduced in Luke and Potthast (2003) and Potthast (Preprint) and the inverse obstacle problem, to identify the interface of the discontinuity of the coefficient gamma of the equation del (.) gamma(x)del + c(x) with piecewise regular gamma and bounded function c(x). We use infinitely many Cauchy data as measurement and give a reconstructive method to localize the interface. We will base this multiwave version of the no-response test on two different proofs. The first one contains a pointwise estimate as used by the singular sources method. The second one is built on an energy (or an integral) estimate which is the basis of the probe method. As a conclusion of this, the probe and the singular sources methods are equivalent regarding their convergence and the no-response test can be seen as a unified framework for these methods. As a further contribution, we provide a formula to reconstruct the values of the jump of gamma(x), x is an element of partial derivative D at the boundary. A second consequence of this formula is that the blow-up rate of the indicator functions of the probe and singular sources methods at the interface is given by the order of the singularity of the fundamental solution.

An inverse method for determining source characteristics for emergency response applications

Following a malicious or accidental atmospheric release in an outdoor environment it is essential for first responders to ensure safety by identifying areas where human life may be in danger. For this to happen quickly, reliable information is needed on the source strength and location, and the type of chemical agent released. We present here an inverse modelling technique that estimates the source strength and location of such a release, together with the uncertainty in those estimates, using a limited number of measurements of concentration from a network of chemical sensors considering a single, steady, ground-level source. The technique is evaluated using data from a set of dispersion experiments conducted in a meteorological wind tunnel, where simultaneous measurements of concentration time series were obtained in the plume from a ground-level point-source emission of a passive tracer. In particular, we analyze the response to the number of sensors deployed and their arrangement, and to sampling and model errors. We find that the inverse algorithm can generate acceptable estimates of the source characteristics with as few as four sensors, providing these are well-placed and that the sampling error is controlled. Configurations with at least three sensors in a profile across the plume were found to be superior to other arrangements examined. Analysis of the influence of sampling error due to the use of short averaging times showed that the uncertainty in the source estimates grew as the sampling time decreased. This demonstrated that averaging times greater than about 5min (full scale time) lead to acceptable accuracy.

Leak detection by inverse transient analysis in an experimental PVC pipe system

Leakage reduction in water supply systems and distribution networks has been an increasingly important issue in the water industry since leaks and ruptures result in major physical and economic losses. Hydraulic transient solvers can be used in the system operational diagnosis, namely for leak detection purposes, due to their capability to describe the dynamic behaviour of the systems and to provide substantial amounts of data. In this research work, the association of hydraulic transient analysis with an optimisation model, through inverse transient analysis (ITA), has been used for leak detection and its location in an experimental facility containing PVC pipes. Observed transient pressure data have been used for testing ITA. A key factor for the success of the leak detection technique used is the accurate calibration of the transient solver, namely adequate boundary conditions and the description of energy dissipation effects since PVC pipes are characterised by a viscoelastic mechanical response. Results have shown that leaks were located with an accuracy between 4-15% of the total length of the pipeline, depending on the discretisation of the system model.

Prediction of impact forces in a vibratory ball mill using an inverse technique

To understand the dynamic mechanisms of the mechanical milling process in a vibratory mill, it is necessary to determine the characteristics of the impact forces associated with the collision events. However, it is difficult to directly measure the impact force in an operating mill. This paper describes an inverse technique for the prediction of impact forces from acceleration measurements on a vibratory ball mill. The characteristics of the vibratory mill have been investigated by the modal testing technique, and its system modes have been identified. In the modelling of the system vibration response to the impact forces, two modal equations have been used to describe the modal responses. The superposition of the modal responses gives rise to the total response of the system. A method based on an optimisation approach has been developed to predict the impact forces by minimising the difference between the measured acceleration of the vibratory ball mill and the predicted acceleration from the solution of the modal equations. The predicted and measured impact forces are in good agreement. Copyright (C) 1996 Elsevier Science Ltd.

An inverse design method for elliptical MRI magnets

An inverse, current density mapping (CDM) method has been developed for the design of elliptical cross-section MRI magnets. The method provides a rapid prototyping system for unusual magnet designs, as it generates a 3D current density in response to a set of target field and geometric constraints. The emphasis of this work is on the investigation of new elliptical coil structures for clinical MRI magnets. The effect of the elliptical aspect ratio on magnet performance is investigated. Viable designs are generated for symmetric, asymmetric and open architecture elliptical magnets using the new method. Clinically relevant attributes such as reduced stray field and large homogeneous regions relative to total magnet length are included in the design process and investigated in detail. The preliminary magnet designs have several novel features.

Dopant extraction from scanning capacitance microscopy measurements of p-n junctions using combined inverse modeling and forward simulation

This article proposes a more accurate approach to dopant extraction using combined inverse modeling and forward simulation of scanning capacitance microscopy (SCM) measurements on p-n junctions. The approach takes into account the essential physics of minority carrier response to the SCM probe tip in the presence of lateral electric fields due to a p-n junction. The effects of oxide fixed charge and interface state densities in the grown oxide layer on the p-n junction samples were considered in the proposed method. The extracted metallurgical and electrical junctions were compared to the apparent electrical junction obtained from SCM measurements. (C) 2002 American Institute of Physics.

Fractional-order impulse response of the respiratory system

This paper presents the measurement, frequency-response modeling and identification, and the corresponding impulse time response of the human respiratory impedance and admittance. The investigated adult patient groups were healthy, diagnosed with chronic obstructive pulmonary disease and kyphoscoliosis, respectively. The investigated children patient groups were healthy, diagnosed with asthma and cystic fibrosis, respectively. Fractional order (FO) models are identified on the measured impedance to quantify the respiratory mechanical properties. Two methods are presented for obtaining and simulating the time-domain impulse response from FO models of the respiratory admittance: (i) the classical pole-zero interpolation proposed by Oustaloup in the early 90s, and (ii) the inverse discrete Fourier Transform (DFT). The results of the identified FO models for the respiratory admittance are presented by means of their average values for each group of patients. Consequently, the impulse time response calculated from the frequency response of the averaged FO models is given by means of the two methods mentioned above. Our results indicate that both methods provide similar impulse response data. However, we suggest that the inverse DFT is a more suitable alternative to the high order transfer functions obtained using the classical Oustaloup filter. Additionally, a power law model is fitted on the impulse response data, emphasizing the intrinsic fractal dynamics of the respiratory system.

Inverse dynamics based predictive control for unified power flow controllers without DC bus

This paper presents a new predictive digital control method applied to Matrix Converters (MC) operating as Unified Power Flow Controllers (UPFC). This control method, based on the inverse dynamics model equations of the MC operating as UPFC, just needs to compute the optimal control vector once in each control cycle, in contrast to direct dynamics predictive methods that needs 27 vector calculations. The theoretical principles of the inverse dynamics power flow predictive control of the MC based UPFC with input filter are established. The proposed inverse dynamics predictive power control method is tested using Matlab/Simulink Power Systems toolbox and the obtained results show that the designed power controllers guarantees decoupled active and reactive power control, zero error tracking, fast response times and an overall good dynamic and steady-state response.

Assessing treatment response to prophylactic lithium use in patients with bipolar disorder

ABSTRACT Objetive To identify potential clinical and epidemiological predictors of long-term response to lithium treatment. Methods A total of 40 adult outpatients followed in an university hospital, with confirmed diagnosis of bipolar disorder and with history of lithium use for at least a six months period, had their response to this medication assessed through the use of a standardized instrument. The ALDA scale is based on retrospective clinical data, in our study assessed through a thoroughly reviewed of the medical charts, and is used to evaluate the clinical improvement with the treatment (Criterion A), corrected by the acknowledgement of possible confounding factors, such as duration of the treatment, compliance and concomitant use of additional medications (Criterion B), in order to estimate the response that can be specifically attributable to lithium. Results Our study found an inverse relation between the number of mood episodes with psychotic symptoms and lithium treatment outcome. Conclusion The results reinforce the hypothesis that lithium seems to be less efficacious in patients with bipolar disorder who present psychotic symptoms.

Role of intracellular signaling pathways activated in fibroblasts in response to lipoproteins

Summary The best described physiological function of low-density lipoproteins (LDL) is to transport cholesterol to target tissues. LDL deliver their cholesterol cargo to cells following their interaction with the LDL receptor. LDL, when their vascular concentrations increase, have also been implicated in pathologies such as atherosclerosis. Among the cell types that are found in blood vessels, endothelial and smooth muscle cells have dominated cellular research on atherosclerotic mechanisms and LDL activation of signaling pathways, while very little is known about adventitial fibroblast activation caused by elevated lipoprotein levels. Since fibroblasts participate in wound repair and since it has recently been recognized that fibroblasts may play pivotal roles in vascular remodeling and repair of injury, we assessed whether lipoproteins affect fibroblast function. We have found that LDL specifically mediate the activation of a class of mitogen-activated protein kinases (MAPKs): the p38 MAPKs. The activation of this pathway in turn modulates cell shape by promoting lamellipodia formation and extensive cell spreading. This is of particular interest because it provides a mechanism by which LDL can promote wound healing or vessel wall remodeling as observed during the development of atherosclerosis. In order to understand the molecular mechanisms by which LDL induce p38 activation we searched for the component in the LDL particle responsible for the induction of this pathway. We found that cholesterol is the major component of lipoprotein particles that mediates their ability to stimulate the p38 MAPK pathway. Furthermore, we investigated the cellular mechanisms underlying the ability of LDL to induce cell shape changes and whether this could participate in wound repair. Our recent data demonstrates that the capacity of LDL to induce fibroblast spreading relies on their ability to stimulate IL-8 secretion, which in turn leads to accelerated wound healing. LDL-induced IL-8 production and subsequent wound closure are impaired upon inhibition of the p38 MAPK pathway indicating that the LDL-induced spreading and accelerated wound sealing rely on the ability of LDL to stimulate IL-8 secretion in a p38 MAPK-dependent manner. Therefore, regulation of fibroblast shape and migration by lipoproteins may be relevant to atherosclerosis that is characterized by increased LDL-cholesterol levels, IL-8 production and extensive remodeling of the vessel wall. Résumé: La fonction physiologique des lipoprotéines à faible densité (LDL) la mieux décrite est celle du transport du cholestérol aux tissus cibles. Les LDL livrent leur cargaison de cholestérol aux cellules après leur interaction avec le récepteur au LDL. Une concentration vasculaire des LDL augmenté est également impliquée dans le développement de l'athérosclérose. Parmi les types de cellule présents dans les vaisseaux sanguins, les cellules endothéliales et les cellules du muscle lisse ont dominé la recherche cellulaire sur les mécanismes athérosclérotiques et sur l'activation par les LDL des voies de signalisation intracellulaire. A l'inverse peu de choses sont connues sur l'activation des fibroblastes de l'adventice par les lipoprotéines. Puisqu'il a été récemment reconnu que les fibroblastes peuvent jouer un rôle central dans la remodélisation vasculaire et la réparation tissulaire, nous avons étudié si les lipoprotéines affectent la fonction des fibroblastes. Nous avons constaté que les LDL activent spécifiquement une classe de protéines kinases: les p38 MAPK (mitogen-activated protein kinases). L'activation de cette voie module à son tour la forme de la cellule en favorisant la formation de lamellipodes et l'agrandissement des cellules. Cela a un intérêt particulier car il fournit un mécanisme par lequel les LDL peuvent promouvoir la cicatrisation ou la remodélisation des parois vasculaires comme observés lors du développement de l'athérosclérose. Pour comprendre les mécanismes moléculaires par lesquels les LDL provoquent l'activation des p38 MAPK, nous avons cherché à identifier les composants dans la particule de LDL responsables de l'induction de cette voie. Nous avons constaté que le cholestérol est l'élément principal des particules de lipoprotéine qui contrôle leur capacité à stimuler la voie des p38 MAPK. En outre, nous avons examiné les mécanismes cellulaires responsables de la capacité des LDL à induire des changements dans la forme des cellules. Nos données récentes démontrent que la capacité des LDL à induire l'agrandissement des cellules, ainsi que leur aptitude à favoriser la cicatrisation, reposant sur leur capacité à stimuler la sécrétiond'IL-8. La production d'IL-8 induite par les LDL est bloquée par l'inhibition de la voie p38 MAPK, ce qui indique que l'étalement des cellules induit par les LDL ainsi que l'accélération de la cicatrisation sont liés à la capacité des LDL à stimuler la sécrétion d'IL8 via l'activation des p38 MAPK. La régulation de la forme et de la migration des fibroblastes par les lipoprotéines peuvent donc participer au développement de l'athérosclérose qui est caractérisée par l'augmentation des niveaux de production de LDL-cholestérol et d'IL-8 ainsi que par une remodélisation augmentée de la paroi du vaisseau.