@phdthesis{Kartal2011,
  author    = {Kartal, {\"O}nder},
  title     = {The role of interfacial and 'entropic' enzymes in transitory starch degradation : a mathematical modeling approach},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-53947},
  school      = {Universit{\"a}t Potsdam},
  year      = {2011},
  abstract  = {Plants and some unicellular algae store carbon in the form of transitory starch on a diurnal basis. The turnover of this glucose polymer is tightly regulated and timely synthesis as well as mobilization is essential to provide energy for heterotrophic growth. Especially for starch degradation, novel enzymes and mechanisms have been proposed recently. However, the catalytic properties of these enzymes and their coordination with metabolic regulation are still to be discovered. This thesis develops theoretical methods in order to interpret and analyze enzymes and their role in starch degradation. In the first part, a novel description of interfacial enzyme catalysis is proposed. Since the initial steps of starch degradation involve reactions at the starch-stroma interface it is necessary to have a framework which allows the derivation of interfacial enzyme rate laws. A cornerstone of the method is the introduction of the available area function - a concept from surface physics - to describe the adsorption step in the catalytic cycle. The method is applied to derive rate laws for two hydrolases, the Beta-amylase (BAM3) and the Isoamylase (DBE/ISA3), as well as to the Glucan, water dikinase (GWD) and a Phosphoglucan phosphatase (DSP/SEX4). The second part uses the interfacial rate laws to formulate a kinetic model of starch degradation. It aims at reproducing the stimulatory effect of reversible phosphorylation by GWD and DSP on the breakdown of the granule. The model can describe the dynamics of interfacial properties during degradation and suggests that interfacial amylopectin side-chains undergo spontaneous helix-coil transitions. Reversible phosphorylation has a synergistic effect on glucan release especially in the early phase dropping off during degradation. Based on the model, the hypothesis is formulated that interfacial phosphorylation is important for the rapid switch from starch synthesis to starch degradation. The third part takes a broader perspective on carbohydrate-active enzymes (CAZymes) but is motivated by the organization of the downstream pathway of starch breakdown. This comprises Alpha-1,4-glucanotransferases (DPE1 and DPE2) and Alpha-glucan-phosphorylases (Pho or PHS) both in the stroma and in the cytosol. CAZymes accept many different substrates and catalyze numerous reactions and therefore cannot be characterized in classical enzymological terms. A concise characterization is provided by conceptually linking statistical thermodynamics and polymer biochemistry. Each reactant is interpreted as an energy level, transitions between which are constrained by the enzymatic mechanisms. Combinations of in vitro assays of polymer-active CAZymes essential for carbon metabolism in plants confirmed the dominance of entropic gradients. The principle of entropy maximization provides a generalization of the equilibrium constant. Stochastic simulations confirm the results and suggest that randomization of metabolites in the cytosolic pool of soluble heteroglycans (SHG) may contribute to a robust integration of fluctuating carbon fluxes coming from chloroplasts.},
  language  = {en}
}
@misc{KartalEbenhoeh2009,
  author    = {Kartal, {\"O}nder and Ebenh{\"o}h, Oliver},
  title     = {Ground state robustness as an evolutionary design principle in signaling networks},
  url       = {http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-44982},
  year      = {2009},
  abstract  = {The ability of an organism to survive depends on its capability to adapt to external conditions. In addition to metabolic versatility and efficient replication, reliable signal transduction is essential. As signaling systems are under permanent evolutionary pressure one may assume that their structure reflects certain functional properties. However, despite promising theoretical studies in recent years, the selective forces which shape signaling network topologies in general remain unclear. Here, we propose prevention of autoactivation as one possible evolutionary design principle. A generic framework for continuous kinetic models is used to derive topological implications of demanding a dynamically stable ground state in signaling systems. To this end graph theoretical methods are applied. The index of the underlying digraph is shown to be a key topological property which determines the so-called kinetic ground state (or off-state) robustness. The kinetic robustness depends solely on the composition of the subdigraph with the strongly connected components, which comprise all positive feedbacks in the network. The component with the highest index in the feedback family is shown to dominate the kinetic robustness of the whole network, whereas relative size and girth of these motifs are emphasized as important determinants of the component index. Moreover, depending on topological features, the maintenance of robustness differs when networks are faced with structural perturbations. This structural off-state robustness, defined as the average kinetic robustness of a network's neighborhood, turns out to be useful since some structural features are neutral towards kinetic robustness, but show up to be supporting against structural perturbations. Among these are a low connectivity, a high divergence and a low path sum. All results are tested against real signaling networks obtained from databases. The analysis suggests that ground state robustness may serve as a rationale for some structural peculiarities found in intracellular signaling networks.},
  language  = {en}
}