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.

Visualization, manipulation and force spectroscopy of cylindrical polymer brushes

The Ph.D. thesis deals with the conformational study of individual cylindrical polymer brush molecules using atomic force microscopy (AFM). Imaging combined with single molecule manipulation has been used to unravel questions concerning conformational changes, desorption behavior and mechanical properties of individual macromolecules and supramolecular structures. In the first part of the thesis (chapter 5) molecular conformations of cylindrical polymer brushes with poly-(N-isopropylacrylamide) (PNIPAM) side chains were studied in various environmental conditions. Also micelle formation of cylindrical brush-coil blockcopolymers with polyacrylic acid side chains and polystyrene coil have been visualized. In chapter 6 the mechanical properties of single cylindrical polymer brushes with (PNIPAM) side chains were investigated. Assuming that the brushes adopt equilibrium conformation on the surface, an average persistence length of lp= (29 ± 3) nm was determined by the end-to-end distance vs. contour length analysis in terms of the wormlike chain (WLC) model. Stretching experiments suggest that an exact determination of the persistence length using force extension curves is impeded by the contribution of the side chains. Modeling the stretching of the bottle brush molecule as extension of a dual spring (side chain and main chain) explains the frequently observed very low persistence length arising from a dominant contribution of the side chain elasticity at small overall contour lengths. It has been shown that it is possible to estimate the “true” persistence length of the bottle brush molecule from the intercept of a linear extrapolation of the inverse square root of the apparent persistence length vs. the inverse contour length plot. By virtue of this procedure a “true” persistence length of 140 nm for the PNIPAM brush molecules is predicted. Chapter 7 and 8 deal with the force-extension behavior of PNIPAM cylindrical brushes studied in poor solvent conditions. The behavior is shown to be qualitatively different from that in a good solvent. Force induced globule-cylinder conformational changes are monitored using “molecule specific force spectroscopy” which is a combined AFM imaging and SMFS technique. An interesting behavior of the unfolding-folding transitions of single collapsed PNIPAM brush molecules has been observed by force spectroscopy using the so called “fly-fishing” mode. A plateau force is observed upon unfolding the collapsed molecule, which is attributed to a phase transition from a collapsed brush to a stretched conformation. Chapter 9 describes the desorption behavior of single cylindrical polyelectrolyte brushes with poly-L-lysine side chains deposited on a mica surface using the “molecule specific force spectroscopy” technique to resolve statistical discrepancies usually observed in SMFS experiments. Imaging of the brushes and inferring the persistence length from a end-to-end distance vs. contour length analysis results in an average persistence length of lp = (25 ± 5) nm assuming that the chains adopt their equilibrium conformation on the surface. Stretching experiments carried out on individual poly-L-lysine brush molecules by force spectroscopy using the “fly-fishing” mode provide a persistence length in the range of 7-23 nm in reasonable accordance with the imaging results. In chapter 10 the conformational behavior of cylindrical poly-L-lysine brush-sodium dodecyl sulfate complexes was studied using AFM imaging. Surfactant induced cylinder to helix like to globule conformational transitions were observed.

Aggregation of hybrid molecules and film formation of colloidal monolayers

A unique characteristic of soft matter is its ability to self-assemble into larger structures. Characterizing these structures is crucial for their applications. In the first part of this work, I investigated DNA-organic hybrid material by means of Fluorescence Correlation Spectroscopy (FCS) and Fluorescence Cross-Correlation Spectroscopy (FCCS). DNA-organic hybrid materials, a novel class of hybrid materials composed of synthetic macromolecules and oligodeoxynucleotide segmenta, are mostly amphiphilic and can self-assemble into supramolecular structures in aqueous solution. A hybrid material of a fluorophore, perylenediimide (PDI), and a DNA segment (DNA-PDI) has been developed in Prof. A. Hermann’s group (University of Groningen). This novel material has the ability to form aggregates through pi-pi stacking between planar PDIs and can be traced in solution due to the fluorescence of PDI. I have determined the diffusion coefficient of DNA-PDI conjugates in aqueous solution by means of FCS. In addition, I investigated whether such DNA-PDIs form aggregates with certain structure, for instance dimers. rnOnce the DNA hybrid material self-assemble into supermolecular structures for instance into micelles, the single molecules do not necessarily stay in one specific micelle. Actually, a single molecule may enter and leave micelles constantly. The average residence time of a single molecule in a certain micelle depends on the nature of the molecule. I have chosen DNA-b-polypropylene oxide (PPO) as model molecules and investigated the residence time of DNA-b-PPO molecules in their according micelles by means of FCCS.rnBesides the DNA hybrid materials, polymeric colloids can also form ordered structures once they are brought to an air/water interface. Here, hexagonally densely packed monolayers can be generated. These monolayers can be deposited onto different surfaces as coating layers. In the second part of this work, I investigated the mechanical properties of such colloidal monolayers using micromechanical cantilevers. When a coating layer is deposited on a cantilever, it can modify the elasticity of the cantilever. This variation can be reflected either by a deflection or by a resonance frequency shift of the cantilever. In turn, detecting these changes provides information about the mechanical properties of the coating layer. rnIn the second part of this work, polymeric colloidal monolayers were coated on a cantilever and homogenous polymer films of a few hundred nanometers in thickness were generated from these colloidal monolayers by thermal annealing or organic vapor annealing. Both the film formation process and the mechanical properties of these resulting homogenous films were investigated by means of cantilever. rnElastic property changes of the coating film, for example upon absorption of organic vapors, induce a deflection of the cantilever. This effect enables a cantilever to detect target molecules, when the cantilever is coated with an active layer with specific affinity to target molecules. In the last part of this thesis, I investigated the applicability of suitably functionalized micromechanical cantilevers as sensors. In particular, glucose sensitive polymer brushes were grafted on a cantilever and the deflection of this cantilever was measured during exposure to glucose solution. rn