Axon pathfinding is an important process required for the establishment of proper neuronal connections during development. An increasing number of secreted and membrane-anchored molecules have been identified as axon guidance cues, which can act as positive or negative factors to increase or decrease the growth of axons and influence the direction of axonal growth. These axon guidance factors present in the extracellular environment interact with receptors present on the growth cone, a structure located at the tip of the axon which functions as the motor unit for the axon. Upon binding to their receptors on the growth cone, the guidance factors then elicit an intracellular signaling cascade within the axon that ultimately influences the direction of axon growth, often through a direct, non-transcriptional mechanism. In this dissertation, we show that Sonic hedgehog (Shh) acts as an axon guidance factor for chick retinal ganglion cell (RGC) axons in a concentration-dependent manner. At a low concentration, Shh functions as a positive factor that induces axon growth and attractive turning while, at a high concentration, Shh functions as a negative factor that induces axon retraction and repulsive axon turning. We further characterized the effects of Shh on macropinocytosis, a fluid-phase type of endocytosis, in the axons. A high concentration of Shh significantly increased macropinocytosis in the axons. Macropinocytosis resulted in the generation of large, dextran-positive, clathrinindependent vesicles in the axonal growth cones, prior to growth cone collapse, axon retraction and repulsive axon turning. These vesicles were found to require dynamic F-actin, nonmuscle myosin II and dynamin for their formation but were formed independently of PI3 kinase signaling. Interestingly, a low concentration of Shh had an opposite effect on macropinocytosis. A low concentration of Shh and soluble laminin decreased macropinocytosis and additionally increased the turnover of these vesicles within the axons, suggesting positive axon guidance factors can additionally regulate downstream processing or maturation of these vesicles. The effect of Shh on regulating the motility of macropinosomes within the axons was investigated. A low concentration of Shh appeared to increase the motility of these vesicles along axonal microtubules in a cAMPdependent manner. However, a high concentration of Shh did not appear to affect the motility of the macropinosomes, suggesting that it likely plays a more predominant role in the formation of these vesicles within the growth cone. When we began this work, a large body of research existed describing the effects of guidance factors on regulating the cytoskeleton during axon motility. However, the role of membrane trafficking events during axon growth and guidance were very poorly characterized. Since we began this project, an increasing number of reports have shown that endo- and exocytosis are important for axon growth and, here, we show that macropinocytosis induced by negative axon guidance factors plays a critical role in growth cone collapse, axon retraction and repulsive axon turning. Positive axon guidance factors also affect macropinocytosis within the axons and additionally regulate their maturation, suggesting that membrane trafficking events mediated by axon guidance factors are important for regulating axon growth and pathfinding.

In dieser Arbeit untersuchen wir den Polymorphismus von Biomembranen im Nanometerbereich anhand von Computermodellen. In Kapitel drei werden auf Dissipative Particle Dynamis basierende molekulare Simulationen genutzt, um die Wechselwirkungen zwischen Membranen und Nanotropfen mit hohen Oberflächenspannungen in der Größenordnung von Milli Newton pro Meter zu untersuchen. Wir zeigen, dass Nanotropfen eine negative Linienspannung an der dreiphasigen Kontaktlinie mit der Membran aufweisen. Die negative Linienspannung führt zu einem spontanen Symmetriebruch des Membran-Tropfensystems und zur Bildung eines enggeschlossenen länglichen Membranhalses. In Kapitel vier untersuchen wir Nanotropfen mit niedrigen Grenzflächenspannungen in der Größenordnung von Mikro-Newton pro Meter. Eine Energieminimierung ermöglicht uns, eine Vielzahl von Parametern zu variieren und die Abhängigkeit der Membranbenet-zungsphänomene von der Grenzflächenspannung, der Biegesteifigkeit, der Linienspannung und der spontanen Krümmung systematisch zu bestimmen. Wir beobachten eine neue morphologische Transformation, die sowohl die Vesikel als auch das Tröpfchen betrifft und eine weiter Geometrie mit gebrochener Rotationssymmetrie. Schließlich bestimmen wir die Grenze zwischen symmetrischen und asymmetrischen Kontaktlinien innerhalb des dreidimensionalen Parameterraums bei verschwindender spontanen Krümmung. In Kapitel fünf verwenden wir molekulare Simulationen, um die morphologischen Transformationen einzelner Nanovesikel mit unterschiedlichem Grad an Asymmetrie zwischen den beiden Schichten der Doppelmembranen zu beobachten. Wir beginnen mit kugelförmigen Vesikeln, die ein bestimmtes Wasservolumen einschließen und aus einer bestimmten Gesamtzahl von Lipiden bestehen. Wenn ihr Volumen verringert wird, verwandeln sich die kugelförmigen Vesikel in eine Vielzahl von nicht kugelförmigen Formen. Dieser Polymorphismus kann durch Umverteilung weniger Lipide zwischen der inneren und äußeren Schicht der Membranen kontrolliert werden. / In this thesis, we use computational methods to study polymorphism of biomembranes at the nanoscales. In chapter three, we use molecular simulations based on dissipative particle dynamics to investigate the interaction of membranes with nanodroplets at high interfacial tensions of the order of milli Newton per meter. We find that nanodroplets have negative line tension at the three phase contact line on the membrane. The negative line tension leads to spontaneous symmetry breaking of the membrane-droplet system and formation of a tight-lipped membrane neck. In chapter four, we study nanodroplets with low interfacial tensions of the order of micro Newton per meter. We use energy minimization, which allows us to explore a wide range of parameters and to systemati-cally determine the dependence of membrane wetting phenomena on interfacial tension, bending rigidity, line tension, and spontaneous curvature. We observe a new morphological transformation that involves both vesicles and droplets, leads to another regime with broken rotational symmetry. Finally, we determine the boundary between symmetric and asymmetric contact line geometries within the three-dimensional parameter space in vanishing spontaneous curvature. In chapter five, we use molecular simulations to monitor the morphological transformations of individual nanovesicles with different degrees of asymmetry between the two leaflets of the bilayer membranes. We start with the assembly of spherical vesicles that enclose a certain volume of water and contain a certain total number of lipids. When we reduce their volume, the spherical vesicles transform into a multitude of nonspherical shapes such as oblates and stomatocytes as well as prolates and dumbbells. This polymorphism can be controlled by redistributing a small fraction of lipids between the inner and outer leaflets of the bilayer membranes. As a consequence, the inner and the outer leaflets experience different mechanical tensions.

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