Processing of sky compass cues and wide-field motion in the central complex of the desert locust (Schistocerca gregaria)

1. Polarization-sensitive neurons of the locust central complex show azimuthdependent responses to unpolarized light spots. This suggests that direct sunlight supports the sky polarization compass in this brain area. / 2. In the brain of the desert locust, neurons sensitive to the plane of celestial polarization are arranged like a compass in the slices of the central complex. These neurons, in addition, code for the horizontal direction of an unpolarized light cue possibly representing the sun. We show here that horizontal directions are, in addition to E-vector orientations from dorsal direction, represented in a compass-like manner across the slices of the central complex. However, both compasses are not linked to each other but seem to interact in a cell specific nonlinear way. Our study confirms the role of the central complex in signaling heading directions signaling and shows that different cues are employed for this task. / 3. Visual cues are essential for animal navigation and spatial orientation. Many insects rely on celestial cues for spatial orientation, including the sky polarization pattern. In desert locusts neurons encoding the plane of polarized light (E-vector) are located in the central complex (CX), a group of midline-spanning neuropils. Several types of CX neuron signalling heading direction represent zenithal Evectors in a topographic manner across the slices of the CX and, likely, act as an internal sky compass. Because animals experience optic flow stimulation during flight, we asked whether progressive wide-field motion affects the responses of CX neurons to polarized light. In most neurons, progressive motion disadapted the response to the preferred E-vector (i.e. the E-vector eliciting strongest firing), whereas the response to the anti-preferred E-vector remained comparatively unaffected. This suggests context-dependent gain modulation in sky compass signalling. Three types of compass neuron were responsive to motion simulating body rotation around the yaw axis. Depending on arborization domains in the CX and rotation direction these neurons were strongly excited or inhibited. As proposed for Drosophila, they may be involved in shifting compass signal activity across the slices of the CX as the animal turns enabling it to keep track of its heading

The Polyhedral Geometry of Partially Ordered Sets

Pairs of polyhedra connected by a piecewise-linear bijection appear in different fields of mathematics. The model example of this situation are the order and chain polytopes introduced by Stanley in, whose defining inequalities are given by a finite partially ordered set. The two polytopes have different face lattices, but admit a volume and lattice point preserving piecewise-linear bijection called the transfer map. Other areas like representation theory and enumerative combinatorics provide more examples of pairs of polyhedra that are similar to order and chain polytopes. The goal of this thesis is to analyze this phenomenon and move towards a common theoretical framework describing these polyhedra and their piecewise-linear bijections. A first step in this direction was done by Ardila, Bliem and Salazar, where the authors generalize order and chain polytopes by replacing the defining data with a marked poset. These marked order and chain polytopes still admit a piecewise-linear transfer map and include the Gelfand-Tsetlin and Feigin-Fourier-Littelmann-Vinberg polytopes from representation theory among other examples. We consider more polyhedra associated to marked posets and obtain new results on their face structure and combinatorial interplay. Other examples found in the literature bear resemblance to these marked poset polyhedra but do not admit a description as such. This is our motivation to consider distributive polyhedra, which are characterized by describing networks by Felsner and Knauer analogous to the description of order polytopes by Hasse diagrams. For a subclass of distributive polyhedra we are able to construct a piecewise-linear bijection to another polyhedron related to chain polytopes. We give a description of this transfer map and the defining inequalities of the image in terms of the underlying network

Examination of Self

Non

Seasons for a Cynic: A Compositional Process Utilizable for a Program Symphony

The technique of symphonic composition requires a deliberate and methodical process by the composer; when the symphony is intended to aesthetically convey a specific subject matter, the compositional process must become even more deliberate. First a subject must be chosen and examined in a contemporary standpoint. Then the composer must determine how to reflect this subject through his or her composing. Ideally, the end result of this composition should encompass the subject matter as thoroughly as possible. While the great majority of textbooks on music theory and composition centralize themselves on elements of pitch in music, the composer has many other elements to consider, notably rhythm, texture, timbre, and form. These elements – be they working independently of one another, supporting one another, or at odds with one another – can be influenced by a wide variety of both traditional and developmental artistic movements. Oftentimes, a composer may find it ideal to synthesize both older techniques of one element with newer techniques in another. This synthesis was the objective in composing a modern program symphony based on the four seasons. Emulating different styles and affects of the twentieth century, this work aimed to synthesize both older and newer techniques. This thesis explains in detail the compositional process used for this program symphony

Processing of sky compass cues and wide-field motion in the central complex of the desert locust (Schistocerca gregaria)

1. Polarization-sensitive neurons of the locust central complex show azimuthdependent responses to unpolarized light spots. This suggests that direct sunlight supports the sky polarization compass in this brain area. / 2. In the brain of the desert locust, neurons sensitive to the plane of celestial polarization are arranged like a compass in the slices of the central complex. These neurons, in addition, code for the horizontal direction of an unpolarized light cue possibly representing the sun. We show here that horizontal directions are, in addition to E-vector orientations from dorsal direction, represented in a compass-like manner across the slices of the central complex. However, both compasses are not linked to each other but seem to interact in a cell specific nonlinear way. Our study confirms the role of the central complex in signaling heading directions signaling and shows that different cues are employed for this task. / 3. Visual cues are essential for animal navigation and spatial orientation. Many insects rely on celestial cues for spatial orientation, including the sky polarization pattern. In desert locusts neurons encoding the plane of polarized light (E-vector) are located in the central complex (CX), a group of midline-spanning neuropils. Several types of CX neuron signalling heading direction represent zenithal Evectors in a topographic manner across the slices of the CX and, likely, act as an internal sky compass. Because animals experience optic flow stimulation during flight, we asked whether progressive wide-field motion affects the responses of CX neurons to polarized light. In most neurons, progressive motion disadapted the response to the preferred E-vector (i.e. the E-vector eliciting strongest firing), whereas the response to the anti-preferred E-vector remained comparatively unaffected. This suggests context-dependent gain modulation in sky compass signalling. Three types of compass neuron were responsive to motion simulating body rotation around the yaw axis. Depending on arborization domains in the CX and rotation direction these neurons were strongly excited or inhibited. As proposed for Drosophila, they may be involved in shifting compass signal activity across the slices of the CX as the animal turns enabling it to keep track of its heading