Disertační práce se zabývá vyšetřováním kvalitativních vlastností diferenčních rovnic se zpožděním, které vznikly diskretizací příslušných diferenciálních rovnic se zpožděním pomocí tzv. $\Theta$-metody. Cílem je analyzovat asymptotické vlastnosti numerického řešení těchto rovnic a formulovat jeho horní odhady. Studována je rovněž stabilita vybraných numerických diskretizací. Práce obsahuje také srovnání s dosud známými výsledky a několik příkladů ilustrujících hlavní dosažené výsledky.

Disertační práce se zabývá asymptotickou stabilitou zpožděných diferenciálních rovnic a jejich diskretizací. V práci jsou uvažovány lineární zpožděné diferenciální rovnice s~konstantním i neohraničeným zpožděním. Jsou odvozeny nutné a postačující podmínky popisující oblast asymptotické stability jak pro exaktní, tak i diskretizovanou lineární neutrální diferenciální rovnici s konstantním zpožděním. Pomocí těchto podmínek jsou porovnány oblasti asymptotické stability odpovídajících exaktních a diskretizovaných rovnic a vyvozeny některé vlastnosti diskrétních oblastí stability vzhledem k měnícímu se kroku použité diskretizace. Dále se zabýváme lineární zpožděnou diferenciální rovnicí s neohraničeným zpožděním. Je uveden popis jejích exaktních a diskrétních oblastí asymptotické stability spolu s asymptotickým odhadem jejich řešení. V závěru uvažujeme lineární diferenciální rovnici s více neohraničenými zpožděními.

Neurofeedback (NF) is an important treatment for attention deficit/hyperactivity disorder (ADHD). In ADHD, cognitive control deficits pose considerable problems to patients. However, NF protocols are not yet optimized to enhance cognitive control alongside with clinical symptoms, partly because they are not driven by basic cognitive neuroscience. In this study, we evaluated different EEG theta and/or beta frequency band NF protocols designed to enhance cognitive control. Participants were n = 157 children and adolescents, n = 129 of them were patients with ADHD (n = 28 typically developing (TD) controls). Patients with ADHD were divided into five groups in the order of referral, with four of them taking part in different NF protocols systematically varying theta and beta power. The fifth ADHD group and the TD group did not undergo NF. All NF protocols resulted in reductions of ADHD symptoms. Importantly, only when beta frequencies were enhanced during NF (without any theta regulation or in combination with theta upregulation), consistent enhancing effects in both response inhibition and conflict control were achieved. The theta/beta NF protocol most widely used in clinical settings revealed comparatively limited effects. Enhancements in beta band activity are key when aiming to improve cognitive control functions in ADHD. This calls for a change in the use of theta/beta NF protocols and shows that protocols differing from the current clinical standard are effective in enhancing important facets of cognitive control in ADHD. Further studies need to examine regulation data within the neurofeedback sessions to provide more information about the mechanisms underlying the observed effects.

Kognitive Kontrolle bezieht sich auf eine Vielzahl mentaler Fähigkeiten, die es uns erlauben im täglichen Leben zielgerichtete Entscheidungen zu treffen und sich flexibel an sich ständig ändernde Umweltanforderungen anzupassen. Das Ziel der vorliegenden Dissertation war es heraus zu finden, ob Kernfunktionen im Bereich der Konfliktüberwachung, Konfliktkontrolle, Fehlerverarbeitung und die daraus resultierenden Verhaltensanpassungen durch ein einheitliches Kontrollnetzwerk geleistet werden, oder ob spezifische Mechanismen die möglicherweise durch unabhängige neuronale Kontrollschleifen realisiert sind, die Flexibilität unserer Anpassungsfähigkeit steuern. Studie 1 und Studie 2 untersuchen sowohl generelle aus auch spezifische Aspekte der Konflikt- und Fehlerverarbeitung mit Hilfe klassischer Konfliktparadigmen und dem Einsatz von Zeit-Frequenz-analytischen Auswertungsmethoden. Studie 1 untersucht anhand 3 verschiedener Konfliktparadigmen (Simon, Flanker, NoGo) die Modulation der Theta Aktivität (4-8 Hz) und verortet diese grob innerhalb des medial frontalen Cortex (MFC), einer Struktur die durch eine Vielzahl von Studien als entscheidend bei der Konfliktverarbeitung angesehen wird. Die gefundene Theta Aktivität wurde in Studie 2 genutzt, um auch dynamische Netzwerkaktivierungen bei der Bearbeitung von Reiz- und Reaktionskonflikten zu beobachten. Es konnte gezeigt werden, dass ein vermutetes Netzwerk bestehend aus MFC, lateralen präfrontalen Cortices und motorischen Arealen bei der Lösung von Reaktionskonflikten beteiligt ist. In Studie 3 wird eine Simon-Aufgabe, die innerhalb von belohnenden oder bestrafenden Kontexten durchgeführt wurde, genutzt um zu zeigen, dass Konflikt- und Fehlerverarbeitung differentiell durch die Kontextmanipulation beeinflusst werden. Entgegen voriger Annahmen scheinen mehrere neuronale Kontrollsysteme an der Lösung von Konflikten und daraus resultierenden Verhaltensanpassungen beteiligt zu sein. / Cognitive control refers to a set of mental abilities that allow us goal-directed behavior in everyday life and to flexibly adapt to permanently changing environmental demands. The goal of the present dissertation was to investigate whether core functions in the area of conflict monitoring, conflict control, error processing and behavioral adjustments caused by these processes are enabled via a unitary control network or whether specific mechanisms that are possibly realized via independent control loops are responsible for the flexibility of our adaptability. Study 1 and 2 investigate general as well as specific aspects of conflict and error processing by using classic conflict paradigms and time-frequency-analytic methods. Study 1 compares the modulation of theta activity (4-8 Hz) across 3 conflict paradigms (Simon, Flanker, NoGo) and roughly situates it within medial frontal cortex (MFC), a structure which has been characterized as crucial for conflict processing in manifold studies. The found theta activity has been used in study 2, to observe dynamic network activations during processing of stimulus and response conflicts. Data confirmed that a hypothesized network consisting of MFC, lateral prefrontal cortices and motor areas is involved in conflict resolution. In study 3 we used a Simon task which was executed either during a rewarding or a punishing context assessing the influence of motivational contexts on conflict adaptation revealing that conflict and error processing were influenced differentially by the context manipulation. Against previous assumptions, several neuronal control systems seem to be engaged during conflict resolution and resulting behavioral adjustments.

Published Article / The role of the Projection Principle within Chomsky's Government-Binding (GB) Theory is to preserve the subcategorisation properties of lexical items at all levels of syntactic representation, viz. D-structure, S-structure, and Lexical Form. Arguments have been made that the Projection Principle is a new concept that is simply an extension of theTransformational Component (XFM) and Emonds' Structure-Preserving Constraint (SPC), and that it does not deserve the high status it has been accorded in GB theory. This paper provides evidence, based on sentences involving movement operations, that the Projection Principle is innovative and that it convincingly addresses what theXFMandSPChave failed to address.

International Telemetering Conference Proceedings / October 28-31, 1996 / Town and Country Hotel and Convention Center, San Diego, California / The use of high bit rates in the missile testing environment requires that the receiving telemetry system(s) have the correct signal margin for no PCM bit errors. This requirement plus the fact that the use of “redundant systems” are no longer considered optimum support scenarios has made it necessary to select the minimum number of tracking sites that will gather the data with the required signal margin. A very basic link analysis can be made by using the maximum and minimum gain values from the transmitting antenna pattern. Another way of evaluating the transmitting antenna gain is to base the gain on the highest percentile appearance of the highest gain value. This paper discusses the mathematical analysis the WSMR Telemetry Branch uses to determine the signal margin resulting from a radiating source along a nominal trajectory. The mathematical analysis calculates the missile aspect angles (Theta, Phi, and Alpha) to the telemetry tracking system that yields the transmitting antenna gain. The gain is obtained from the Antenna Radiation Distribution Table (ARDT) that is stored in a computer file. An entire trajectory can be evaluated for signal margin before an actual flight. The expected signal strength level can be compared to the actual signal strength level from the flight. This information can be used to evaluate any plume effects.

Compared to other structures, such as the amygdala, the lateral septum’s (LS) role in the regulation of anxiety and/or behavioural defense is relatively understudied. Thus, the overarching goal of this thesis was to further investigate its contribution to rats’ anxiety-related behaviours. In Chapter 2, we demonstrate, for the first time, that while the dorsal LS does not mediate rats’ appetitive motivation or anxiety in the novelty induced suppression of feeding (NISF) paradigm, it does modulate their defensive behaviours in the elevated plus maze (EPM) and shock probe burying tests (SPBT). In Chapter 3, we are the first to show that bilateral infusions of histamine, a neurochemical previously linked to anxiety, into the LS reduce rats’ anxiety-related behaviours in the EPM and NISF. In addition, we report a novel double dissociation between lateral septal H1 and H2, and H3 receptors in their regulation of rats’ defensive behaviours in those two paradigms. More specifically, the H1 and H2 receptors contribute to rats’ hyponeophagia in the NISF but not their open arm exploration in the EPM, while the H3 receptors modulate rats’ defensive behaviors in the EPM but not in the NISF. Finally, in Chapter 4, we report for the first time that infusions of histamine into the LS, which produce behavioural anxiolysis, increase rather than decrease the frequency of reticular-elicited hippocampal theta activity, a putative neurophysiological correlate of anxiolytic-drug action. Altogether, the data in this thesis increase our understanding of how the LS contributes to rats’ defensive behaviours and adds to the existing literature regarding the neurobiology of fear/anxiety. More importantly though, the data presented here could ultimately aid in the development of novel drugs to treat anxiety disorders in humans. / Thesis (Ph.D, Neuroscience Studies) -- Queen's University, 2013-12-17 17:27:34.014

Compared to other structures, such as the amygdala, the lateral septum’s (LS) role in the regulation of anxiety and/or behavioural defense is relatively understudied. Thus, the overarching goal of this thesis was to further investigate its contribution to rats’ anxiety-related behaviours. In Chapter 2, we demonstrate, for the first time, that while the dorsal LS does not mediate rats’ appetitive motivation or anxiety in the novelty induced suppression of feeding (NISF) paradigm, it does modulate their defensive behaviours in the elevated plus maze (EPM) and shock probe burying tests (SPBT). In Chapter 3, we are the first to show that bilateral infusions of histamine, a neurochemical previously linked to anxiety, into the LS reduce rats’ anxiety-related behaviours in the EPM and NISF. In addition, we report a novel double dissociation between lateral septal H1 and H2, and H3 receptors in their regulation of rats’ defensive behaviours in those two paradigms. More specifically, the H1 and H2 receptors contribute to rats’ hyponeophagia in the NISF but not their open arm exploration in the EPM, while the H3 receptors modulate rats’ defensive behaviors in the EPM but not in the NISF. Finally, in Chapter 4, we report for the first time that infusions of histamine into the LS, which produce behavioural anxiolysis, increase rather than decrease the frequency of reticular-elicited hippocampal theta activity, a putative neurophysiological correlate of anxiolytic-drug action. Altogether, the data in this thesis increase our understanding of how the LS contributes to rats’ defensive behaviours and adds to the existing literature regarding the neurobiology of fear/anxiety. More importantly though, the data presented here could ultimately aid in the development of novel drugs to treat anxiety disorders in humans. / Thesis (Ph.D, Neuroscience Studies) -- Queen's University, 2013-12-17 17:27:34.014

The amygdala, in particular its basolateral part (BLA), plays a critical role in binding affective qualities to otherwise neutral stimuli, and in eliciting emotional behaviors. Plasticity of inputs to BLA projection neurons involved in emotional memory has been extensively studied. However, how BLA neurons collectively process sensory information to encode and stabilize emotional memories is unknown. Precise coordination of BLA network activities seems critical. Specifically, timed integration of salient stimuli, and synchrony with hippocampal theta oscillations appear to be important. Recent reports suggest that GABAergic neurons may be instrumental in shaping ensemble activity in the BLA. Studies of neocortex and hippocampus showed that diverse GABAergic interneuron types play highly specific roles in coordinating network operations. The presence of similar interneuron populations in the BLA suggests comparable mechanism may govern its activities. However, GABAergic cell types and their functions have not been characterized.

The subthalamic nucleus (STN), which is the most common target for deep brain stimulation for Parkinson's disease, is known to be crucially involved in motor control. Recent appreciation of the potential non-motor side effects of STN deep brain stimulation, however, has led to speculation that the importance of this nucleus may also relate to processes involved in decision- making, particularly during high conflict scenarios. This thesis concerns itself with investigating the STN's role in action selection during conflict. I begin by recording local field potentials directly from the STN of Parkinson's disease patients while they perform a flanker task that has been shown to elicit theta (4-8 Hz) band activity in areas of the prefrontal cortex involved in cognitive control. I report that like the prefrontal cortex, the STN demonstrates elevated theta activity during conflict. I then test whether STN theta activity is related to that of the prefrontal cortex by recording from both sites simultaneously while patients perform a novel task that temporally separates conflict from stimulus onset or movement. This reveals that theta activity indeed becomes synchronized during conflict, with cortical oscillations driving those of the STN. Thirdly, I investigate how STN oscillations may affect firing rate dynamics by intra-operatively recording local field potentials and single unit activity from patients performing the flanker task. I report that both theta and beta (15-30 Hz) oscillations entrain STN neurons, but only during conflict. Finally, I record cortical and STN activity while a fourth group of patients performs the flanker task. This experiment confirms that cortico-STN theta synchrony is elevated during conflict and may also relate to across-trial adaptations to conflict and errors. Taken together these studies shed light on the mechanisms by which cortical structures may influence the STN during conflict and why STN deep brain stimulation may result in impulsivity.