Mean curvature flow in SE (2) and applications to visual perception

Our goal in this thesis is to provide a result of existence of the degenerate non-linear, non-divergence PDE which describes the mean curvature flow in the Lie group SE(2) equipped with a sub-Riemannian metric. The research is motivated by problems of visual completion and models of the visual cortex.

Consumer Perception and Willingness to Pay for Local Food

A growing number of empirical studies recently investigated consumers' valuation for local food products. However, different aspects related to the local food consumption still remain vague or unexplored. As such, the objective of the present research is to fulfill the existing literature using a mixed methodological approach for the investigation of consumers' preferences and Willingness to Pay (WTP) for local food products. First of all, local food is still a blurred concept and this factor might be source of individuals' misperception for the local origin meaning. Therefore, a qualitative research has been performed in order to investigate the meaning and the perception of the local food in the Italian food market. Results from this analysis have been used as inputs for the building of a non-hypothetical Real Choice Experiment (RCE) to estimate consumers' WTP for locally and organically produced apple sauce. The contribution of this study is three-fold: (1) consumers' valuation for the local origin is interpreted in terms of regional borders, over the organic food claim in case of an unusual food product in the area of interest, (2) the interaction between individuals' personality traits and consumers’ preferences for local and organic foods is analyzed, (3) the role of Commitment Cost creation in consumers' choice making in case of uncertainty due to the use of a novel food product and of an unconventional food claim is investigated. Results suggest that consumers are willing to pay a higher price premium for organic over locally produced apple sauce, possibly because of the presence of a regulated certification. In accordance with Commitment Cost theory, the organic label might thus decrease consumers' uncertainty for the features of the product in question. Results also indicate that individuals' personality can be source of heterogeneity in consumers' preferences.

Die Einheit des Bewusstseins und das Phänomen der Synästhesie

Synästhetiker schmecken Berührungen, sehen Farben und Formen, wenn sie Musik hören oder einen Duft riechen. Es wurden auch so außergewöhnliche Formen wie Wochentage-Farben-, Berührung-Geruch- oder Schmerz-Farben-Synästhesien gefunden. Die von Neuro- wissenschaftlern und Philosophen als „Bindung“ genannte Fähigkeit mehrere Reize, die in verschiedenen Hirnarealen verarbeitet werden, miteinander zu koppeln und zu einer einheitlichen Repräsentation bzw. erfahrenen Einheit des Bewusstseins zusammenzufassen, betrifft jeden gesunden Mensch. Synästhetiker sind aber Menschen, deren Gehirne zur „Hyperbindung“ oder zum hyperkohärentem Erleben befähigt sind, da bei ihnen wesentlich mehr solcher Kopplungen entstehen. Das Phänomen der Synästhesie ist schon seit mehreren Jahrhunderten bekannt, aber immer noch ein Rätsel. Bisher glaubten Forscher, solche Phänomene beruhten bloß auf überdurchschnittlich dichten neuronalen Verdrahtungen zwischen sensorischen Hirnregionen. Aus der aktuellen Forschung kann man jedoch schließen, dass die Ursache der Synästhesie nicht allein eine verstärkte Verbindung zwischen zwei Sinneskanälen ist. Laut eigener Studien ist der Sinnesreiz selbst sowie seine fest verdrahteten sensorischen Pfade nicht notwendig für die Auslösung des synästhetischen Erlebens. Eine grundlegende Rolle spielt dabei dessen Bedeutung für einen Synästhetiker. Für die Annahme, dass die Semantik für die synästhetische Wahrnehmung das Entscheidende ist, müssten synästhetische Assoziationen ziemlich flexibel sein. Und genau das wurde herausgefunden, nämlich, dass normalerweise sehr stabile synästhetische Assoziationen unter bestimmten Bedingungen sich auf neue Auslöser übertragen lassen. Weitere Untersuchung betraf die neu entdeckte Schwimmstil-Farbe-Synästhesie, die tritt hervor nicht nur wenn Synästhetiker schwimmen, aber auch wenn sie über das Schwimmen denken. Sogar die Namen dieser charakteristischen Bewegungen können ihre Farbempfindungen auslösen, sobald sie im stimmigen Kontext auftauchen. Wie man von anderen Beispielen in der Hirnforschung weiß, werden häufig benutzte neuronale Pfade im Laufe der Zeit immer stärker ausgebaut. Wenn also ein Synästhetiker auf bestimmte Stimuli häufig stoßt und dabei eine entsprechende Mitempfindung bekommt, kann das mit der Zeit auch seine Hirnanatomie verändern, so dass die angemessenen strukturellen Verknüpfungen entstehen. Die angebotene Erklärung steht also im Einklang mit den bisherigen Ergebnissen. Die vorliegende Dissertation veranschaulicht, wie einheitlich und kohärent Wahrnehmung, Motorik, Emotionen und Denken (sensorische und kognitive Prozesse) im Phänomen der Synästhesie miteinander zusammenhängen. Das synästhetische nicht-konzeptuelle Begleiterlebnis geht mit dem konzeptuellen Inhalt des Auslösers einher. Ähnlich schreiben wir übliche, nicht-synästhetische phänomenale Eigenschaften den bestimmten Begriffen zu. Die Synästhesie bringt solche Verschaltungen einfach auf beeindruckende Weise zum Ausdruck und lässt das mannigfaltige Erleben stärker integrieren.

Investigating interocclusal perception in tactile teeth sensibility using symmetric and asymmetric analysis

The purpose of this clinical trial was to determine the active tactile sensibility of natural teeth and to obtain a statistical analysis method fitting a psychometric function through the observed data points. On 68 complete dentulous test persons (34 males, 34 females, mean age 45.9 ± 16.1 years), one pair of healthy natural teeth each was tested: n = 24 anterior teeth and n = 44 posterior teeth. The computer-assisted, randomized measurement was done by having the subjects bite on thin copper foils of different thickness (5-200 µm) inserted between the teeth. The threshold of active tactile sensibility was defined by the 50% value of correct answers. Additionally, the gradient of the sensibility curve and the support area (90-10% value) as a description of the shape of the sensibility curve were calculated. For modeling the sensibility curve, symmetric and asymmetric functions were used. The mean sensibility threshold was 14.2 ± 12.1 µm. The older the subject, the higher the tactile threshold (r = 0.42, p = 0.0006). The support area was 41.8 ± 43.3 µm. The higher the 50% threshold, the smaller the gradient of the curve and the larger the support area. The curves showing the active tactile sensibility of natural teeth demonstrate a tendency towards asymmetry, so that the active tactile sensibility of natural teeth can mathematically best be described by using the asymmetric Weibull function.

Slowdown of gist perception in colour diagnostic scenes

Humans perceive the content (gist) of a scene very rapidly within about 40 ms [Castelhano and Henderson, 2008 Journal of Experimental Psychology Human Perception and Performance 43(3) 660-675]. It has also been demonstrated that colours contribute to the perception of the gist of a scene if the colours are diagnostic for the distinction of scenes (Oliva and Schyns, 2000 Cognitive Psychology 41 176-210). We presented 320 coloured photographs of 2 diagnostic (mountains and coasts) and 2 nondiagnostic colour scenes (cities and rooms), 80 per category, in a masking paradigm. The mask consisted of randomly distributed colour patches. SOA was varied between 20 and 80 ms, in steps of 20 ms and subjects had to indicate the gist of the scene (4AFC). A control condition without masking was also included. In line with previous results we have found that the gist of nondiagnostic coloured scenes is extracted within 40 ms. However, if colour comes into play, the extraction of the scene gist is prolonged by about 20 ms. A possible reason for this outcome might be that nondiagnostic colour scenes are identified by their luminance components which are processed faster than the colour information, which in turn mediates the identification of diagnostic colour scenes

Preventing vasospasm improves outcome after aneurysmal subarachnoid hemorrhage: rationale and design of CONSCIOUS-2 and CONSCIOUS-3 trials

Cerebral vasospasm after aneurysmal subarachnoid hemorrhage (aSAH) is a frequent but unpredictable complication associated with poor outcome. Current vasospasm therapies are suboptimal; new therapies are needed. Clazosentan, an endothelin receptor antagonist, has shown promise in phase 2 studies, and two randomized, double-blind, placebo-controlled phase 3 trials (CONSCIOUS-2 and CONSCIOUS-3) are underway to further investigate its impact on vasospasm-related outcome after aSAH. Here, we describe the design of these studies, which was challenging with respect to defining endpoints and standardizing endpoint interpretation and patient care. Main inclusion criteria are: age 18-75 years; SAH due to ruptured saccular aneurysm secured by surgical clipping (CONSCIOUS-2) or endovascular coiling (CONSCIOUS-3); substantial subarachnoid clot; and World Federation of Neurosurgical Societies grades I-IV prior to aneurysm-securing procedure. In CONSCIOUS-2, patients are randomized 2:1 to clazosentan (5 mg/h) or placebo. In CONSCIOUS-3, patients are randomized 1:1:1 to clazosentan 5, 15 mg/h, or placebo. Treatment is initiated within 56 h of aSAH and continued until 14 days after aSAH. Primary endpoint is a composite of mortality and vasospasm-related morbidity within 6 weeks of aSAH (all-cause mortality, vasospasm-related new cerebral infarction, vasospasm-related delayed ischemic neurological deficit, neurological signs or symptoms in the presence of angiographic vasospasm leading to rescue therapy initiation). Main secondary endpoint is extended Glasgow Outcome Scale at week 12. A critical events committee assesses all data centrally to ensure consistency in interpretation, and patient management guidelines are used to standardize care. Results are expected at the end of 2010 and 2011 for CONSCIOUS-2 and CONSCIOUS-3, respectively.