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Instant Adipositas
(2012)
Durch die Simulation von Übergewicht sollen die Alltagsprobleme von Adipösen auch für normalgewichtige Menschen erfahrbar gemacht werden. Die Dissertation beschäftigt sich mit der qualitativen und quantitativen Identifikation der Probleme und Einschränkungen im Alltag von adipösen Menschen. Zudem wird überprüft, ob die Einschränkungen im Rahmen einer Simulation realitätsgetreu abgebildet werden können.
This thesis deals with the chaotic dynamics of nonlinear networks consisting of semiconductor lasers which have time-delayed self-feedbacks or mutual couplings. These semiconductor lasers are simulated numerically by the Lang-Kobayashi equations. The central issue is how the chaoticity of the lasers, measured by the maximal Lyapunov exponent, changes when the delay time is changed. It is analysed how this change of chaoticity with increasing delay time depends on the reflectivity of the mirror for the self-feedback or the strength of the mutal coupling, respectively. The consequences of the different types of chaos for the effect of chaos synchronization of mutually coupled semiconductor lasers are deduced and discussed. At the beginning of this thesis, the master stability formalism for the stability analysis of nonlinear networks with delay is explained. After the description of the Lang-Kobayashi equations and their linearizations as a model for the numerical simulation of semiconductor lasers with time-delayed couplings, the artificial sub-Lyapunov exponent $\lambda_{0}$ is introduced. It is explained how the sign of the sub-Lyapunov exponent can be determined by experiments. The notions of "strong chaos" and "weak chaos" are introduced and distinguished by their different scaling properties of the maximal Lyapunov exponent with the delay time. The sign of the sub-Lyapunov exponent $\lambda_{0}$ is shown to determine the occurence of strong or weak chaos. The transition sequence "weak to strong chaos and back to weak chaos" upon monotonically increasing the coupling strength $\sigma$ of a single laser's self-feedback is shown for numerical calculations of the Lang-Kobayashi equations. At the transition between strong and weak chaos, the sub-Lyapunov exponent vanishes, $\lambda_{0}=0$, resulting in a special scaling behaviour of the maximal Lyapunov exponent with the delay time. Transitions between strong and weak chaos by changing $\sigma$ can also be found for the Rössler and Lorenz dynamics. The connection between the sub-Lyapunov exponent and the time-dependent eigenvalues of the Jacobian for the internal laser dynamics is analysed. Counterintuitively, the difference between strong and weak chaos is not directly visible from the trajectory although the difference of the trajectories induces the transitions between the two types of chaos. In addition, it is shown that a linear measure like the auto-correlation function cannot unambiguously reveal the difference between strong and weak chaos either. Although the auto-correlations after one delay time are significantly higher for weak chaos than for strong chaos, it is not possible to detect a qualitative difference. If two time-scale separated self-feedbacks are present, the shorter feedback has to be taken into account for the definition of a new sub-Lyapunov exponent $\lambda_{0,s}$, which in this case determines the occurence of strong or weak chaos. If the two self-feedbacks have comparable delay times, the sub-Lyapunov exponent $\lambda_{0}$ remains the criterion for strong or weak chaos. It is shown that the sub-Lyapunov exponent scales with the square root of the effective pump current $\sqrt{p-1}$, both in its magnitude and in the position of the critical coupling strengths. For networks with several distinct sub-Lyapunov exponents, it is shown that the maximal sub-Lyapunov exponent of the network determines whether the network's maximal Lyapunov exponent scales strongly or weakly with increasing delay time. As a consequence, complete synchronization of a network is excluded for arbitrary networks which contain at least one strongly chaotic laser. Furthermore, it is demonstrated that the sub-Lyapunov exponent of a driven laser depends on the number of the incoherently superimposed inputs from unsynchronized input lasers. For networks of delay-coupled lasers operating in weak chaos, the condition $|\gamma_{2}|<\mathrm{e}^{-\lambda_{\mathrm{m}}\,\tau}$ for stable chaos synchronization is deduced using the master stability formalism. Hence, synchronization of any network depends only on the properties of a single laser with self-feedback and the eigenvalue gap of the coupling matrix. The characteristics of the master stability function for the Lang-Kobayashi dynamics is described, and consequently, the master stability function is refined to allow for precise practical prediction of synchronization. The prediction of synchronization with the master stability function is demonstrated for bidirectional and unidirectional networks. Furthermore, the master stability function is extended for two distinct delay times. Finally, symmetries and resonances for certain values of the ratio of the delay times are shown for the master stability function of the Lang-Kobyashi equations.
Durch Fortschritte in der Technologie haben interventionelle Eingriffe am Herzen in den letzten Jahrzehnten einen herausragenden Stellenwert entwickelt und zu einer Reduktion von aufwendigen Operationen am Herzen geführt. Die Ausbildung im Herzkatheterlabor, die nach dem konservativen „appreticeship-model“ erfolgt, gerät in Anbetracht der sinkenden finanziellen Mittel, Zeitmangel und der ethischen Fragen bezüglich Patientensicherheit immer mehr in Diskussion. Die Entwicklung der Virtual-Reality-Simulatoren für Kathetereingriffe bietet hier durch die Realitätsnähe einen Ansatzpunkt für die Möglichkeit eines individuell angepassten, repetitiven Trainings ohne die Gefährdung eines Patienten. Standardsituationen als auch seltene Komplikationen können nachgestellt werden. Diese Studie weist nach, dass Training an den Virtual-Reality-Simulatoren CATHI und Immersion zu einer Risikoreduktioin bei der Durchführung einer perkutanen Coronarintervention führt. Zur Untersuchung der Effekte von Virtual-Reality-Training auf die Performance einer perkutanen Coronarintervention wurde an der medizinischen Klinik Wuerzburg eine kontrolliert-radnomisierte Studie mit 33 Anfängern in der interventionellen Kardiologie durchgeführt. 16 Teilnehmer (Simulationsgruppe) erhielten ein intensives acht-stuendiges Simulationstraining an zwei verschiedenen Virtual-Reality-Simulatoren (CATHI und Immersion), 17 Teilnehmer bildeten die Kontrollgruppe, die den konservativen Ausbildungsgang repräsentierte und kein Simulationstraining erhielt. Alle Teilnehmer mussten in Form einer Prä- und Postevaluation unter realitätsnahen Umständen im Herzkatheterlabor der Uniklinik Würzburg innerhalb von 30 Minuten eine perkutane Coronarintervention an einem pulsatilen Herzkreislaufmodell aus Silikon (CoroSim) eigenständig vornehmen. Dabei musste eine an einer Aufteilung lokalisierte hochgradige Stenose ohne Abgänge mit einer Länge von 10mm und einem Gefäßdurchmesser von 4mm eröffnet werden. Die Ergebnisse zeigten für die Präevaluation keine gruppenspezifischen Unterschiede. Nach dem Simulationstraining zeigte sich eine signifikante Verbesserung der Simulationsgruppe bei der Risikominimierung in Bezug auf Sicherheit bei der Anwendung des Führungskatheters, des Koronardrahts, des Ballon/Stents und bei der KM-Injektion, während sich die Kontrollgruppe in diesen Punkten nicht verbessern konnte. Die aktuelle Studie zeigt, dass Training an den Virtual-Reality-Simulatoren, als Ergänzung zur herkömmlichen Ausbildung, ein hohes Potential für die Optimierung von interventionellen Herzkathetereingriffen verfügt.
Understanding the emergence of species' ranges is one of the most fundamental challenges in ecology. Early on, geographical barriers were identified as obvious natural constraints to the spread of species. However, many range borders occur along gradually changing landscapes, where no sharp barriers are obvious. Mechanistic explanations for this seeming contradiction incorporate environmental gradients that either affect the spatio-temporal variability of conditions or the increasing fragmentation of habitat. Additionally, biological mechanisms like Allee effects (i.e. decreased growth rates at low population sizes or densities), condition-dependent dispersal, and biological interactions with other species have been shown to severely affect the location of range margins. The role of dispersal has been in the focus of many studies dealing with range border formation. Dispersal is known to be highly plastic and evolvable, even over short ecological time-scales. However, only few studies concentrated on the impact of evolving dispersal on range dynamics. This thesis aims at filling this gap. I study the influence of evolving dispersal rates on the persistence of spatially structured populations in environmental gradients and its consequences for the establishment of range borders. More specially I investigate scenarios of range formation in equilibrium, periods of range expansion, and range shifts under global climate change ...