Molekulare Mechanismen der cAMP-vermittelten Signaltransduktion

Zusammenfassung - Der sekundäre Botenstoff zyklisches Adenosinmonophosphat (cAMP) reguliert viele fundamentale zelluläre Prozesse wie Zellproliferation, Differenzierung, Energiemetabolismus und Genexpression. In eukaryotischen Zellen vermittelt die cAMP-abhängige Proteinkinase (PKA) die meisten biologischen Funktionen von cAMP. Die PKA besteht aus jeweils zwei regulatorischen (R) und katalytischen (C) Untereinheiten, die zusammen einen inaktiven Holoenzymkomplex bilden, der durch cAMP aktiviert wird. In dieser Arbeit wurde die Bindung von cAMP und cAMP-Analoga an die R Untereinheit der PKA unter funktionellen und mechanistischen Aspekten untersucht. Eine neue, auf Fluoreszenzpolarisation basierende Methode wurde entwickelt, um die Affinität von cAMP-Analoga in einem homogenen Ansatz schnell, reproduzierbar und nicht radioaktiv zu quantifizieren. Zur detaillierten Untersuchung des Bindungsmechanismus von cAMP und cAMP Analoga (Agonisten und Antagonisten) wurden thermodynamische Studien im direkten Vergleich mittels isothermaler Titrationskalorimetrie und kinetischen Analysen (Oberflächenplasmonresonanz, SPR) durchgeführt, wodurch thermodynamische Signaturen für das Bindungsverhalten der Nukleotide an die R Untereinheit der PKA erhalten werden konnten. Durch Interaktionsstudien an mutagenisierten R Untereinheiten wurde der intramolekulare Aktivierungsmechanismus der PKA in Bezug auf cAMP-Bindung, Holoenzymkomplex-Formierung und -Aktivierung untersucht. Die dabei erhaltenen Ergebnisse wurden mit zwei Modellen der cAMP-induzierten Konformationsänderung verglichen, und ein Aktivierungsmechanismus postuliert, der auf konservierten hydrophoben Aminosäuren basiert. Für in vivo Untersuchungen wurden zusammen mit Kooperationspartnern membranpermeable, fluoreszierende cAMP Analoga entwickelt, die Einblicke in die Dynamik der cAMP-Verteilung in Zellen erlauben. Neu entwickelte, Festphasen gebundene cAMP-Analoga (Agonisten und Antagonisten) wurden in einem (sub)proteomischen Ansatz dazu genutzt, natürliche Komplexe der R Untereinheit und des PKA-Holoenzyms aus Zelllysaten zu isolieren und zu identifizieren. Diese Untersuchungen fließen letztlich in einem systembiologischen Ansatz zusammen, der neue Einblicke in die vielschichtigen cAMP gesteuerten Netzwerke und Regulationsprozesse erlaubt.

On Solution Sets of Information Inequalities

We investigate solution sets of a special kind of linear inequality systems. In particular, we derive characterizations of these sets in terms of minimal solution sets. The studied inequalities emerge as information inequalities in the context of Bayesian networks. This allows to deduce important properties of Bayesian networks, which is important within causal inference.

First-principles electronic theory of non-collinear magnetic order in transition-metal nanowires

The structural, electronic and magnetic properties of one-dimensional 3d transition-metal (TM) monoatomic chains having linear, zigzag and ladder geometries are investigated in the frame-work of first-principles density-functional theory. The stability of long-range magnetic order along the nanowires is determined by computing the corresponding frozen-magnon dispersion relations as a function of the 'spin-wave' vector q. First, we show that the ground-state magnetic orders of V, Mn and Fe linear chains at the equilibrium interatomic distances are non-collinear (NC) spin-density waves (SDWs) with characteristic equilibrium wave vectors q that depend on the composition and interatomic distance. The electronic and magnetic properties of these novel spin-spiral structures are discussed from a local perspective by analyzing the spin-polarized electronic densities of states, the local magnetic moments and the spin-density distributions for representative values q. Second, we investigate the stability of NC spin arrangements in Fe zigzag chains and ladders. We find that the non-collinear SDWs are remarkably stable in the biatomic chains (square ladder), whereas ferromagnetic order (q =0) dominates in zigzag chains (triangular ladders). The different magnetic structures are interpreted in terms of the corresponding effective exchange interactions J(ij) between the local magnetic moments μ(i) and μ(j) at atoms i and j. The effective couplings are derived by fitting a classical Heisenberg model to the ab initio magnon dispersion relations. In addition they are analyzed in the framework of general magnetic phase diagrams having arbitrary first, second, and third nearest-neighbor (NN) interactions J(ij). The effect of external electric fields (EFs) on the stability of NC magnetic order has been quantified for representative monoatomic free-standing and deposited chains. We find that an external EF, which is applied perpendicular to the chains, favors non-collinear order in V chains, whereas it stabilizes the ferromagnetic (FM) order in Fe chains. Moreover, our calculations reveal a change in the magnetic order of V chains deposited on the Cu(110) surface in the presence of external EFs. In this case the NC spiral order, which was unstable in the absence of EF, becomes the most favorable one when perpendicular fields of the order of 0.1 V/Å are applied. As a final application of the theory we study the magnetic interactions within monoatomic TM chains deposited on graphene sheets. One observes that even weak chain substrate hybridizations can modify the magnetic order. Mn and Fe chains show incommensurable NC spin configurations. Remarkably, V chains show a transition from a spiral magnetic order in the freestanding geometry to FM order when they are deposited on a graphene sheet. Some TM-terminated zigzag graphene-nanoribbons, for example V and Fe terminated nanoribbons, also show NC spin configurations. Finally, the magnetic anisotropy energies (MAEs) of TM chains on graphene are investigated. It is shown that Co and Fe chains exhibit significant MAEs and orbital magnetic moments with in-plane easy magnetization axis. The remarkable changes in the magnetic properties of chains on graphene are correlated to charge transfers from the TMs to NN carbon atoms. Goals and limitations of this study and the resulting perspectives of future investigations are discussed.

Semi-algebraic methods for symbolic analysis of complex reaction networks

The identification of chemical mechanism that can exhibit oscillatory phenomena in reaction networks are currently of intense interest. In particular, the parametric question of the existence of Hopf bifurcations has gained increasing popularity due to its relation to the oscillatory behavior around the fixed points. However, the detection of oscillations in high-dimensional systems and systems with constraints by the available symbolic methods has proven to be difficult. The development of new efficient methods are therefore required to tackle the complexity caused by the high-dimensionality and non-linearity of these systems. In this thesis, we mainly present efficient algorithmic methods to detect Hopf bifurcation fixed points in (bio)-chemical reaction networks with symbolic rate constants, thereby yielding information about their oscillatory behavior of the networks. The methods use the representations of the systems on convex coordinates that arise from stoichiometric network analysis. One of the methods called HoCoQ reduces the problem of determining the existence of Hopf bifurcation fixed points to a first-order formula over the ordered field of the reals that can then be solved using computational-logic packages. The second method called HoCaT uses ideas from tropical geometry to formulate a more efficient method that is incomplete in theory but worked very well for the attempted high-dimensional models involving more than 20 chemical species. The instability of reaction networks may lead to the oscillatory behaviour. Therefore, we investigate some criterions for their stability using convex coordinates and quantifier elimination techniques. We also study Muldowney's extension of the classical Bendixson-Dulac criterion for excluding periodic orbits to higher dimensions for polynomial vector fields and we discuss the use of simple conservation constraints and the use of parametric constraints for describing simple convex polytopes on which periodic orbits can be excluded by Muldowney's criteria. All developed algorithms have been integrated into a common software framework called PoCaB (platform to explore bio- chemical reaction networks by algebraic methods) allowing for automated computation workflows from the problem descriptions. PoCaB also contains a database for the algebraic entities computed from the models of chemical reaction networks.