Jaw mechanics of the pterosaur skull construction and the evolution of toothlessness

In the present study, pterosaur skull constructions were analysed using a combined approach of finite element analysis (FEA), static investigations as well as applying classical beam theory and lever mechanics. The study concentrates on the operating regime „bite“, where loads are distributed via the dentition or a keratinous rhamphotheca into the skull during jaw occlusion. As a first step, pterosaur tooth constructions were analysed. The different morphologies of the tooth construction determine specific operational ranges, in which the teeth perform best (= greatest resistance against failure). The incomplete enamel-covering of the pterosaur tooth constructions thereby leads to a reduction of strain and stress and to a greater lateral elasticity than for a complete enamel cover. This permits the development of high and lateral compressed tooth constructions. Further stress-absorption occurs in the periodontal membrane, although its mechanical properties can not be clarified unambiguously. A three-dimensionally preserved skull of Anhanguera was chosen as a case-study for the investigation of the skull constructions. CT-scans were made to get information about the internal architecture, supplemented by thin-sections of a rostrum of a second Anhanguera specimen. These showed that the rostrum can be approximated as a double-walled triangular tube with a large central vacuity and an average wall-thickness of the bony layers of about 1 mm. On base of the CT-scans, a stereolithography of the skull of Anhanguera was made on which the jaw adductor and abductor muscles were modelled, permitting to determine muscular forces. The values were used for the lever mechanics, cantilever and space frame analysis. These studies and the FEA show, that the jaw reaction forces are critical for the stability of the skull construction. The large jugal area ventral to the orbita and the inclined occipital region act as buttresses against these loads. In contrast to the orbitotemporal region which is subject to varying loading conditions, the pattern in the rostrum is less complex. Here, mainly bending in dorsal direction and torsion occur. The hollow rostrum leads to a reduction of weight of the skull and to a high bending and torsional resistance. Similar to the Anhanguera skull construction, the skulls of those pterosaur taxa were analysed, from which enough skull material is know to permit a reliable reconstruction. Furthermore, FEA were made from five selected taxa. The comparison of the biomechanical behaviour of the different skull constructions results in major transformational processes: elongation of rostra, inclination of the occipital region, variation of tooth morphology, reduction of the dentition and replacement of teeth by a keratinous hook or rhamphotheca, fusion of naris and antorbital fenestra, and the development of bony and soft-tissue crests. These processes are discussed for their biomechanical effects during bite. Certain optional operational ranges for feeding are assigned to the different skull constructions and previous hypotheses (e.g. skimming) are verified. Using the principle of economisation, these processes help to establish irreversible transformations and to define possible evolutionary pathways. The resulting constructional levels and the structural variations within these levels are interpreted in light of a greater feeding efficiency and reduction of bony mass combined with an increased stability against the various loads. The biomechanical conclusive pathways are used for comparison and verification of recent hypothesis of the phylogenetic systematics of pterosaurs.

The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions?

The collapse of linear polyelectrolyte chains in a poor solvent: When does a collapsing polyelectrolyte collect its counter ions? The collapse of polyions in a poor solvent is a complex system and is an active research subject in the theoretical polyelectrolyte community. The complexity is due to the subtle interplay between hydrophobic effects, electrostatic interactions, entropy elasticity, intrinsic excluded volume as well as specific counter-ion and co-ion properties. Long range Coulomb forces can obscure single molecule properties. The here presented approach is to use just a small amount of screening salt in combination with a very high sample dilution in order to screen intermolecular interaction whereas keeping intramolecular interaction as much as possible (polyelectrolyte concentration cp ≤ 12 mg/L, salt concentration; Cs = 10^-5 mol/L). This is so far not described in literature. During collapse, the polyion is subject to a drastic change in size along with strong reduction of free counterions in solution. Therefore light scattering was utilized to obtain the size of the polyion whereas a conductivity setup was developed to monitor the proceeding of counterion collection by the polyion. Partially quaternized PVP’s below and above the Manning limit were investigated and compared to the collapse of their uncharged precursor. The collapses were induced by an isorefractive solvent/non-solvent mixture consisting of 1-propanol and 2-pentanone, with nearly constant dielectric constant. The solvent quality for the uncharged polyion could be quantified which, for the first time, allowed the experimental investigation of the effect of electrostatic interaction prior and during polyion collapse. Given that the Manning parameter M for QPVP4.3 is as low as lB / c = 0.6 (lB the Bjerrum length and c the mean contour distance between two charges), no counterion binding should occur. However the Walden product reduces with first addition of non solvent and accelerates when the structural collapse sets in. Since the dielectric constant of the solvent remains virtually constant during the chain collapse, the counterion binding is entirely caused by the reduction in the polyion chain dimension. The collapse is shifted to lower wns with higher degrees of quaternization as the samples QPVP20 and QPVP35 show (M = 2.8 respectively 4.9). The combination of light scattering and conductivity measurement revealed for the first time that polyion chains already collect their counter ions well above the theta-dimension when the dimensions start to shrink. Due to only small amounts of screening salt, strong electrostatic interactions bias dynamic as well as static light scattering measurements. An extended Zimm formula was derived to account for this interaction and to obtain the real chain dimensions. The effective degree of dissociation g could be obtained semi quantitatively using this extrapolated static in combination with conductivity measurements. One can conclude the expansion factor a and the effective degree of ionization of the polyion to be mutually dependent. In the good solvent regime g of QPVP4.3, QPVP20 and QPVP35 exhibited a decreasing value in the order 1 > g4.3 > g20 > g35. The low values of g for QPVP20 and QPVP35 are assumed to be responsible for the prior collapse of the higher quaternized samples. Collapse theory predicts dipole-dipole attraction to increase accordingly and even predicts a collapse in the good solvent regime. This could be exactly observed for the QPVP35 sample. The experimental results were compared to a newly developed theory of uniform spherical collapse induced by concomitant counterion binding developed by M. Muthukumar and A. Kundagrami. The theory agrees qualitatively with the location of the phase boundary as well as the trend of an increasing expansion with an increase of the degree of quaternization. However experimental determined g for the samples QPVP4.3, QPVP20 and QPVP35 decreases linearly with the degree of quaternization whereas this theory predicts an almost constant value.

Mapping the elastic response of epithelial apical cell membranes suspended across porous array

As the elastic response of cell membranes to mechanical stimuli plays a key role in various cellular processes, novel biophysical strategies to quantify the elasticity of native membranes under physiological conditions at a nanometer scale are gaining interest. In order to investigate the elastic response of apical membranes, elasticity maps of native membrane sheets, isolated from MDCK II (Madine Darby Canine kidney strain II) epithelial cells, were recorded by local indentation with an Atomic Force Microscope (AFM). To exclude the underlying substrate effect on membrane indentation, a highly ordered gold coated porous array with a pore diameter of 1.2 μm was used to support apical membranes. Overlays of fluorescence and AFM images show that intact apical membrane sheets are attached to poly-D-lysine coated porous substrate. Force indentation measurements reveal an extremely soft elastic membrane response if it is indented at the center of the pore in comparison to a hard repulsion on the adjacent rim used to define the exact contact point. A linear dependency of force versus indentation (-dF/dh) up to 100 nm penetration depth enabled us to define an apparent membrane spring constant (kapp) as the slope of a linear fit with a stiffness value of for native apical membrane in PBS. A correlation between fluorescence intensity and kapp is also reported. Time dependent hysteresis observed with native membranes is explained by a viscoelastic solid model of a spring connected to a Kelvin-Voight solid with a time constant of 0.04 s. No hysteresis was reported with chemically fixated membranes. A combined linear and non linear elastic response is suggested to relate the experimental data of force indentation curves to the elastic modulus and the membrane thickness. Membrane bending is the dominant contributor to linear elastic indentation at low loads, whereas stretching is the dominant contributor for non linear elastic response at higher loads. The membrane elastic response was controlled either by stiffening with chemical fixatives or by softening with F-actin disrupters. Overall, the presented setup is ideally suitable to study the interactions of the apical membrane with the underlying cytoskeleton by means of force indentation elasticity maps combined with fluorescence imaging.

Molecular phylogenetic inferences on the position of the Mollusca within the Lophotrochozoa

Die phylogenetische Position der Mollusken innerhalb der Trochozoa sowie die interne Evolution der Klassen der Mollusca sind weitgehend unbekannt und wurden in meiner Arbeit anhand molekularer Merkmale untersucht. Phylogenomische Analysen zeigten in der Vergangenheit eine gute Auflösung für ursprüngliche Speziationsereignisse. Daher wurden hier drei neue EST Datensätze generiert: für Sipunculus nudus (Sipuncula), Barentsia elongata (Kamptozoa) und Lepidochitona cinerea, (Polyplacophora, Mollusca). Zusätzlich wurden gezielt Gene verschiedener Mollusken mittels RT-PCR amplifiziert. rnSowohl Kamptozoen als auch Sipunculiden wurden aufgrund morphologischer Kriterien bisher als mögliche Schwestergruppe der Mollusken gehandelt, aber die hier erzielten Ergebnisse zur Evolution der Hämerythrine, Gen-Anordnungen der mitochondrialen Genome und phylogenetische Analysen der ribosomalen und der mitochondriellen Proteine stützen diese Hypothese nicht. Die Position der Kamptozoa erwies sich hier generell als unbeständig; phylogenomische Analysen deuten eine Nähe zu den Bryozoen an, aber diese Position wird stark durch die Auswahl der Taxa beeinflusst. Dagegen weisen meine Analysen klar auf eine nähere Beziehung zwischen Annelida und Sipuncula hin. Die ribosomalen Proteine zeigen Sipuncula (und Echiura) sogar als Subtaxa der Anneliden. Wie den Mollusken fehlt den Sipunculiden jegliche Segmentierung und meine Ergebnisse legen hier die Möglichkeit des Verlusts dieses Merkmals innerhalb der Anneliden bei den Sipunculiden nahe. Innerhalb der Mollusken wurden die Solenogastren bereits als Schwestergruppe aller rezenten Mollusken vorgeschlagen. Im Rahmen meiner Arbeit wurden von drei verschiedenen Solenogastren-Arten die ersten zuverlässigen 18S rRNA-Sequenzen ermittelt, und es zeigte sich, dass alle bisher veröffentlichten 18S-Sequenzen dieser Molluskenklasse höchst unvollständig oder fehlerhaft sind. rnRibosomale Proteine sind gute phylogenetische Marker und hier wurden die Auswahl und Anzahl dieser Gene für phylogenetische Analysen optimiert. Über Sonden-basierte Detektion wurde eine sampling-Strategie getestet, die im Vergleich mit standard-phylogenomischen Ansätzen zukünftige molekulare Stammbaumrekonstruktionen mit größerem Taxonsampling ermöglicht.rn

Synthesis of carbolines and analogues via rhodhium-catalyzed [2+2+2] cycloaddition with alkynyl-ynamides : application to the total synthesis of alkaloids

The main research theme of this dissertation is the synthesis of g- and b-carbolines using a metal-catalyzed [2+2+2] cycloaddition strategy of tethered alkynyl-ynamides (diynes) with nitriles. g- and b-carbolines form the core of a large group of natural product and represent important targets for organic chemists. Many of these carbolines showed pharmacological effects ranging from anti-tumor to anxiolytic and anti-HIV activity. A model study with N-Ethynyl-N-tosyl-2-(2-phenylethynyl)aniline and methyl cyanoformate showed that rhodium-based catalysts promote efficiently the reaction. A further optimization showed that the regioselectivity of the reaction can be tuned by the choice of the solvent or by the catalytic system. Application to a larger scope of diynes showed that the regioselectivity strongly depends on the type of substitution of the alkynyl moieties, giving regioselectivities in the range g:b = 1/0 to g:b = 0/1. This [2+2+2] cycloaddition approach for the synthesis of the g- and b-carboline cores was successfully applied to the first total synthesis of Isoperlolyrine and the total synthesis of Perlolyrine. Extension of this strategy to heterocumulenes as cycloaddition partners allowed the synthesis of a g-carbolinone, a thiopyrano[3,4-b]indol-3-imine and thiopyranothiones.