Existence of solutions and asymtptotic limits of the Euler-Poisson and the quantum drift-diffusion systems

My work concerns two different systems of equations used in the mathematical modeling of semiconductors and plasmas: the Euler-Poisson system and the quantum drift-diffusion system. The first is given by the Euler equations for the conservation of mass and momentum, with a Poisson equation for the electrostatic potential. The second one takes into account the physical effects due to the smallness of the devices (quantum effects). It is a simple extension of the classical drift-diffusion model which consists of two continuity equations for the charge densities, with a Poisson equation for the electrostatic potential. Using an asymptotic expansion method, we study (in the steady-state case for a potential flow) the limit to zero of the three physical parameters which arise in the Euler-Poisson system: the electron mass, the relaxation time and the Debye length. For each limit, we prove the existence and uniqueness of profiles to the asymptotic expansion and some error estimates. For a vanishing electron mass or a vanishing relaxation time, this method gives us a new approach in the convergence of the Euler-Poisson system to the incompressible Euler equations. For a vanishing Debye length (also called quasineutral limit), we obtain a new approach in the existence of solutions when boundary layers can appear (i.e. when no compatibility condition is assumed). Moreover, using an iterative method, and a finite volume scheme or a penalized mixed finite volume scheme, we numerically show the smallness condition on the electron mass needed in the existence of solutions to the system, condition which has already been shown in the literature. In the quantum drift-diffusion model for the transient bipolar case in one-space dimension, we show, by using a time discretization and energy estimates, the existence of solutions (for a general doping profile). We also prove rigorously the quasineutral limit (for a vanishing doping profile). Finally, using a new time discretization and an algorithmic construction of entropies, we prove some regularity properties for the solutions of the equation obtained in the quasineutral limit (for a vanishing pressure). This new regularity permits us to prove the positivity of solutions to this equation for at least times large enough.

GM-CSF (granulocyte-macrophage colony-stimulating factor): Modulation der durch UV-B-Strahlung induzierten Hautkarzinogenese

UV-B-Strahlung, die durch die fortschreitende Zerstörung der Ozonschicht zunimmt, ist hauptsächlich für das Entstehen von Basaliomen und Plattenepithelkarzinomen verantwort-lich, an denen jedes Jahr etwa 2-3 Millionen Menschen weltweit erkranken. UV-B indu-zierte Hautkarzinogenese ist ein komplexer Prozess, bei dem vor allem die mutagenen und immunsuppressiven Wirkungen der UV-B-Strahlung von Bedeutung sind. Die Rolle von GM-CSF in der Hautkarzinogenese ist dabei widersprüchlich. Aus diesem Grund wurde die Funktion von GM-CSF in vivo in der UV-B induzierten Hautkarzinogenese mittels zwei bereits etablierter Mauslinien untersucht: Erstens transgene Mäuse, die einen GM-CSF Antagonisten unter der Kontrolle des Keratin-10-Promotors in den suprabasalen Schichten der Epidermis exprimieren und zweitens solche, die unter dem Keratin-5-Promotor murines GM-CSF in der Basalschicht der Epidermis überexprimieren. Eine Gruppe von Tieren wurde chronisch, die andere akut bestrahlt. Die konstitutionelle Verfassung der Tiere mit erhöhter GM-CSF-Aktivität in der Haut war nach chronischer UV-B-Bestrahlung insgesamt sehr schlecht. Sie wiesen deshalb eine stark erhöhte Mortali-tät auf. Dies ist sowohl auf die hohe Inzidenz als auch dem frühen Auftreten der benignen und malignen Läsionen zurückzuführen. Eine verminderte GM-CSF Aktivität verzögerte dagegen die Karzinomentwicklung und erhöhte die Überlebensrate leicht. GM-CSF wirkt auf verschiedenen Ebenen tumorpromovierend: Erstens erhöht eine gesteigerte Mastzell-anzahl in der Haut der GM-CSF überexprimierenden Tiere per se die Suszeptibilität für Hautkarzinogenese. Zweitens stimuliert GM-CSF die Keratinozytenproliferation. Dadurch kommt es nach UV-B-Bestrahlung zu einer prolongierten epidermalen Hyperproliferation, die zur endogenen Tumorpromotion beiträgt, indem sie die Bildung von Neoplasien unter-stützt. Der Antagonist verzögert dagegen den Proliferationsbeginn, die Keratinozyten blei-ben demzufolge länger in der G1-Phase und der durch UV-B verursachte DNA-Schaden kann effizienter repariert werden. Drittens kann GM-CSF die LCs nicht als APCs aktivie-ren und eine Antitumorimmunität induzieren, da UV-B-Strahlung zur Apoptose von LCs bzw. zu deren Migration in Richtung Lymphknoten führt. Zusätzlich entwickeln GM-CSF überexprimierende Tiere in ihrer Haut nach UV-B-Bestrahlung ein Millieu von antago-nistisch wirkenden Zytokinen, wie TNF-a, TGF-b1 und IL-12p40 und GM-CSF, die proinflammatorische Prozesse und somit die Karzinomentwicklung begünstigen. Der Anta-gonist hemmt nach UV-B-Bestrahlung die Ausschüttung sowohl von immunsuppressiven Zytokinen, wie etwa TNF-a, als auch solchen, die die Th2-Entwicklung unterstützen, wie etwa IL-10 und IL-4. Dies wirkt sich negativ auf die Karzinomentwicklung aus.

The influence of individual and colony level variation in behavior on colony performance in ants

In my dissertation I investigated the influence of behavioral variation between and within ant colonies on group performance. In particular, I analyzed how evolution shapes behavior in response to ecological conditions, and whether within-group diversity improves productivity as suggested by theory. Our field and laboratory experiments showed that behavioral diverse groups are more productive. Different aggression levels within colonies were beneficial under competitive field situations, whereas diversity in brood care and exploratory behavior were favored in non-competitive laboratory situations. We then examined whether population density and social parasite presence shape aggression through phenotypic plasticity and/or natural selection. The importance of selection was indicated by the absence of density or parasite effects on aggression in a field manipulation. Indeed, more aggressive colonies fared better under high density and during parasite attack. When analyzing the proximate causes of individual behavioral variation, ovarian development was shown to be linked to division of labor and aggressiveness. Finally, our studies show that differences in the collective behavior can be linked to immune defense and productivity. My dissertation demonstrates that behavioral variation should be studied on multiple scales and when possible combined with physiological analyses to better understand the evolution of animal personalities in social groups.rn

Measurement of the ZZ production cross section and limits to the anomalous triple gauge couplings with forward electrons with the ATLAS detector

Measurements of the self coupling between bosons are important to test the electroweak sector of the Standard Model (SM). The production of pairs of Z bosons through the s-channel is forbidden in the SM. The presence of physics, beyond the SM, could lead to a deviation of the expected production cross section of pairs of Z bosons due to the so called anomalous Triple Gauge Couplings (aTGC). Proton-proton data collisions at the Large Hadron Collider (LHC) recorded by the ATLAS detector at a center of mass energy of 8 TeV were analyzed corresponding to an integrated luminosity of 20.3 fb-1. Pairs of Z bosons decaying into two electron-positron pairs are searched for in the data sample. The effect of the inclusion of detector regions corresponding to high values of the pseudorapidity was studied to enlarge the phase space available for the measurement of the ZZ production. The number of ZZ candidates was determined and the ZZ production cross section was measured to be: rn7.3±1.0(Stat.)±0.4(Sys.)±0.2(lumi.)pb, which is consistent with the SM expectation value of 7.2±0.3pb. Limits on the aTGCs were derived using the observed yield, which are twice as stringent as previous limits obtained by ATLAS at a center of mass energy of 7 TeV.