Yes / Purpose: Even during steady fixation, people make small eye movements such as microsaccades, whose rate is altered by presentation of salient stimuli. Our goal was to develop a practical method for objectively and robustly estimating contrast sensitivity from microsaccade rates in a diverse population. Methods: Participants, recruited to cover a range of contrast sensitivities, were visually normal (n = 19), amblyopic (n = 10), or had cataract (n = 9). Monocular contrast sensitivity was estimated behaviorally while binocular eye movements were recorded during interleaved passive trials. A probabilistic inference approach was used to establish the likelihood of observed microsaccade rates given the presence or absence of a salient stimulus. Contrast sensitivity was estimated from a function fitted to the scaled log-likelihood ratio of the observed microsaccades in the presence or absence of a salient stimulus across a range of contrasts. Results: Microsaccade rate signature shapes were heterogeneous; nevertheless, estimates of contrast sensitivity could be obtained in all participants. Microsaccade-estimated contrast sensitivity was unbiased compared to behavioral estimates (1.2% mean), with which they were strongly correlated (Spearman's ρ 0.74, P < 0.001, median absolute difference 7.6%). Measurement precision of microsaccade-based contrast sensitivity estimates was worse than that of behavioral estimates, requiring more than 20 times as many presentations to equate precision. Conclusions: Microsaccade rate signatures are heterogeneous in shape when measured across populations with a broad range of contrast sensitivities. Contrast sensitivity can be robustly estimated from rate signatures by probabilistic inference, but more stimulus presentations are currently required to achieve similarly precise estimates to behavioral techniques. / Supported by a Confidence in Concept grant from the Medical Research Council, a Fight for Sight Project Grant (5059/5060) and a Wellcome Trust Research Fellowship to NWR (WT097387).

Fixational eye movements occur involuntarily during visual fixation of stationary scenes. The fastest components of these miniature eye movements are microsaccades, which can be observed about once per second. Recent studies demonstrated that microsaccades are linked to covert shifts of visual attention [e.g., Engbert & Kliegl (2003), Vision Res 43:1035-1045]. Here,we generalized this finding in two ways. First, we used peripheral cues, rather than the centrally presented cues of earlier studies. Second, we spatially cued attention in vision and audition to visual and auditory targets. An analysis of microsaccade responses revealed an equivalent impact of visual and auditory cues on microsaccade-rate signature (i.e., an initial inhibition followed by an overshoot and a final return to the pre-cue baseline rate). With visual cues or visual targets,microsaccades were briefly aligned with cue direction and then opposite to cue direction during the overshoot epoch, probably as a result of an inhibition of an automatic saccade to the peripheral cue. With left auditory cues and auditory targets microsaccades oriented in cue direction. Thus, microsaccades can be used to study crossmodal integration of sensory information and to map the time course of saccade preparation during covert shifts of visual and auditory attention.

When the eyes fixate at a point in a visual scene, small saccades rapidly shift the image on the retina. The effect of these microsaccades on the latency of subsequent large-scale saccades may be twofold. First, microsaccades are associated with an enhancement of visual perception. Their occurrence during saccade target perception should, thus, decrease saccade latencies. On the other hand, microsaccades likely indicate activity in fixation-related oculomotor neurons. These represent competitors to saccade-related cells in the interplay of gaze holding and shifting. Consequently, an increase in saccade latencies after microsaccades would be expected. Here, we present evidence for both aspects of microsaccadic impact on saccade latency. In a delayed response task, participants made saccades to visible or memorized targets. First, microsaccade occurrence up to 50 ms before target disappearance correlated with 18 ms (or 8%) faster saccades to memorized targets. Second, if microsaccades occurred shortly (i.e., < 150 ms) before a saccade was required, saccadic reaction times in visual and memory trials were increased by about 40 ms (or 16%). Hence, microsaccades can have opposite consequences for saccade latencies, pointing at a differential role of these fixational eye movements in preparation of motor programs.

Estimation of the self-similarity exponent has attracted growing interest in recent decades and became a research subject in various fields and disciplines. Real-world data exhibiting self-similar behavior and/or parametrized by self-similarity exponent (in particular Hurst exponent) have been collected in different fields ranging from finance and human sciencies to hydrologic and traffic networks. Such rich classes of possible applications obligates researchers to investigate qualitatively new methods for estimation of the self-similarity exponent as well as identification of long-range dependencies (or long memory). In this thesis I present the Bayesian estimation of the Hurst exponent. In contrast to previous methods, the Bayesian approach allows the possibility to calculate the point estimator and confidence intervals at the same time, bringing significant advantages in data-analysis as discussed in this thesis. Moreover, it is also applicable to short data and unevenly sampled data, thus broadening the range of systems where the estimation of the Hurst exponent is possible. Taking into account that one of the substantial classes of great interest in modeling is the class of Gaussian self-similar processes, this thesis considers the realizations of the processes of fractional Brownian motion and fractional Gaussian noise. Additionally, applications to real-world data, such as the data of water level of the Nile River and fixational eye movements are also discussed. / Die Abschätzung des Selbstähnlichkeitsexponenten hat in den letzten Jahr-zehnten an Aufmerksamkeit gewonnen und ist in vielen wissenschaftlichen Gebieten und Disziplinen zu einem intensiven Forschungsthema geworden. Reelle Daten, die selbsähnliches Verhalten zeigen und/oder durch den Selbstähnlichkeitsexponenten (insbesondere durch den Hurst-Exponenten) parametrisiert werden, wurden in verschiedenen Gebieten gesammelt, die von Finanzwissenschaften über Humanwissenschaften bis zu Netzwerken in der Hydrologie und dem Verkehr reichen. Diese reiche Anzahl an möglichen Anwendungen verlangt von Forschern, neue Methoden zu entwickeln, um den Selbstähnlichkeitsexponenten abzuschätzen, sowie großskalige Abhängigkeiten zu erkennen. In dieser Arbeit stelle ich die Bayessche Schätzung des Hurst-Exponenten vor. Im Unterschied zu früheren Methoden, erlaubt die Bayessche Herangehensweise die Berechnung von Punktschätzungen zusammen mit Konfidenzintervallen, was von bedeutendem Vorteil in der Datenanalyse ist, wie in der Arbeit diskutiert wird. Zudem ist diese Methode anwendbar auf kurze und unregelmäßig verteilte Datensätze, wodurch die Auswahl der möglichen Anwendung, wo der Hurst-Exponent geschätzt werden soll, stark erweitert wird. Unter Berücksichtigung der Tatsache, dass der Gauß'sche selbstähnliche Prozess von bedeutender Interesse in der Modellierung ist, werden in dieser Arbeit Realisierungen der Prozesse der fraktionalen Brown'schen Bewegung und des fraktionalen Gauß'schen Rauschens untersucht. Zusätzlich werden Anwendungen auf reelle Daten, wie Wasserstände des Nil und fixierte Augenbewegungen, diskutiert.

Die Erforschung visueller Aufmerksamkeit beruht auf verdeckter Aufmerksamkeit; das heißt, wenn der Fokus der Aufmerksamkeit trotz strikter Fixation ausgerichtet wird ohne größere Sakkaden auszuführen. EEG-Studien haben das neuronale Netzwerk identifiziert, dass verdeckte Aufmerksamkeit steuert. Diese Studien ignorieren jedoch unwillkürliche kleine Sakkaden während der Fixation - Mikrosakkaden (MS) genannt. Blickbewegungsstudien hingegen belegen einen Zusammenhang zwischen Aufmerksamkeit und diesen MS, beziehen ihre Resultate jedoch nicht auf etablierte EEG-Befunde. Um diese Forschungslücke zu schließen, zielt diese Dissertation darauf, den Zusammenhang zwischen Ereignis-korrelierten Potentialen (EKP) endogener Aufmerksamkeit und MS zu untersuchen. Folglich wurden drei Studien mit gleichzeitiger Erfassung von EEG und Blickbewegungen durchgeführt. In den Studien haben die Probanden ein „Posner Spatial-Cueing-Paradigma“ absolviert mit einem endogenen Hinweisreiz. Wir zeigen deutliche Zusammenhänge zwischen MS und neuronalen Korrelaten visueller Aufmerksamkeit. Erstens, MS und ein posteriores EKP reflektierten die Selektion visueller Reize basierend auf deren Merkmale. Dieses Ergebnis stärkt die Idee eines Netzwerkes, dass relevante Reize unter Distraktoren selektiert und zielgerichtetes Verhalten initiiert. Zweitens, MS erzeugten ein visuelles Potential, das verstärkte Potentialkomponenten für Reize zeigte, die im Aufmerksamkeitsfokus lagen. Dieses MS-evozierte Potential stellte einen zeitlich gut aufgelösten Aufmerksamkeitsindex dar. Drittens, MS erzeugten zudem ein in früheren Studien übersehenes, korneoretinales Artefakt. Dieses Artefakt kontaminierte die Messung eines frontalen EKPs, dass zuvor mit der Kontrolle von Aufmerksamkeit assoziiert war. Zusammenfassend zeigt diese Dissertation, dass die gleichzeitige Erfassung von EEG und Blickbewegungen bedeutsame Einblicke in den Zusammenhang von MS und visueller Aufmerksamkeit erlaubt. / Research on visual attention focusses on covert attention; that is, when attention is directed during fixation periods in the absence of larger saccades. While previous EEG research has provided insights into the neural network that controls covert attention, this field fails to account for the inevitable occurrence of miniature fixational saccades - called microsaccades (MS). In contrast, previous eye-tracking research has established links between MSs and covert attention, but has not directly related their findings to seminal EEG results. This thesis bridges this research gap by investigating the link between event-related potentials (ERPs) of endogenous attention and MSs. To this end, three studies were conducted with concomitant ERP and high-resolution eye-tracking recordings while participants performed a Posner spatial cueing task with an endogenous cue. Crucially, we show that MSs relate to neural correlates of visual attention. First, MS and an early posterior ERP reflected the top-down selection of a visual stimulus based on its features. This finding is consistent with the notion of a neural network that selects relevant stimuli from distracting ones and initiates goal-directed behavior toward selected stimuli. Second, gaze shifts from MSs evoked a visual potential in the EEG that was enhanced for stimuli in the focus of attention; a finding well-known for the visual potential measured after presenting a stimulus. Importantly, these MS-related potentials provided a fine-grained temporal index of the subject’s attentional state. Finally, MSs further evoked a corneoretinal artifact overlooked in previous EEG studies. This artifact contaminated the measurement of a frontal ERP previously associated with preparatory attentional control. In sum, this thesis provides first evidence for the benefits of using concomitant ERP and eye-tracking recordings to examine the link between MSs and visual attention.