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This work is concerned with the syntheses and photophysical properties of para-xylylene bridged macrocycles nPBI with ring sizes from two to nine PBI units, as well as the complexation of polycyclic aromatic guest compounds.
With a reduced but substantial fluorescence quantum yield of 21% (in CHCl3) the free host 2PBI(4-tBu)4 can be used as a dual fluorescence probe. Upon encapsulation of rather electron-poor guests the fluorescence quenching interactions between the chromophores are prevented, leading to a significant fluorescence enhancement to > 90% (“turn-on”). On the other hand, the addition of electron-rich guest molecules induces an electron transfer from the guest to the electron-poor PBI chromophores and thus quenches the fluorescence entirely (“turn-off”). The photophysical properties of the host-guest complexes were studied by transient absorption spectroscopy. These measurements revealed that the charge transfer between guest and 2PBI(4-tBu)4 occurs in the “normal region” of the Marcus-parabola with the fastest charge separation rate for perylene. In contrast, the charge recombination back to the PBI ground state lies far in the “inverted region” of the Marcus-parabola.
Beside complexation of planar aromatic hydrocarbons into the cavity of the cyclophanes an encapsulation of fullerene into the cyclic trimer 3PBI(4-tBu)4 was observed. 3PBI(4-tBu)4 provides a tube-like structure in which the PBI subunits represent the walls of those tubes. The cavity has the optimal size for hosting fullerenes, with C70 fitting better than C60 and a binding constant that is higher by a factor of 10. TA spectroscopy in toluene that was performed on the C60@3PBI(4-tBu)4 complex revealed two energy transfer processes. The first one comes from the excited PBI to the fullerene, which subsequently populates the triplet state. From the fullerene triplet state a second energy transfer occurs back to the PBI to generate the PBI triplet state.
In all cycles that were studied by TA spectroscopy, symmetry-breaking charge separation (SB-CS) was observed in dichloromethane. This process is fastest within the PBI cyclophane 2PBI(4-tBu)4 and slows down for larger cycles, suggesting that the charge separation takes place through space and not through bonds. The charges then recombine to the PBI triplet state via a radical pair intersystem crossing (RP-ISC) mechanism, which could be used to generate singlet oxygen in yields of ~20%.
By changing the solvent to toluene an intramolecular folding of the even-numbered larger cycles was observed that quenches the fluorescence and increases the 0-1 transition band in the absorption spectra. Force field calculations of 4PBI(4-tBu)4 suggested a folding into pairs of dimers, which explains the remarkable odd-even effect with respect to the number of connected PBI chromophores and the resulting alternation in the absorption and fluorescence properties. Thus, the even-numbered macrocycles can fold in a way that all chromophores are in a paired arrangement, while the odd-numbered cycles have open conformations (3PBI(4-tBu)4, 5PBI(4-tBu)4, 7PBI(4-tBu)4) or at least additional unpaired PBI unit (9PBI(4-tBu)4).
With these experiments we could for the first time give insights in the interactions between cyclic PBI hosts and aromatic guest molecules. Associated with the encapsulation of guest molecules a variety of possible applications can be envisioned, like fluorescence sensing, chiral recognition and photodynamic therapy by singlet oxygen generation. Particularly, these macrocycles provide photophysical relaxation pathways of PBIs, like charge separation and recombination and triplet state formation that are hardly feasible in monomeric PBI dyes. Furthermore, diverse compound specific features were found, like the odd-even effect in the folding process or the transition of superficial nanostructures of the tetrameric cycle influenced by the AFM tip. The comprehensive properties of these macrocycles provide the basis for further oncoming studies and can serve as an inspiration for the synthesis of new macrocyclic compounds.
Spinal muscular atrophy and amyotrophic lateral sclerosis are the two most common devastating motoneuron diseases. The mechanisms leading to motoneuron degeneration are not resolved so far, although different hypotheses have been built on existing data. One possible mechanism is disturbed axonal transport of RNAs in the affected motoneurons. The underlying question of this study was therefore to characterize changes in transcript levels of distinct RNAs in cell culture models of spinal muscular atrophy and amyotrophic lateral sclerosis, especially in the axonal compartment of primary motoneurons.
To investigate this in detail we first established compartmentalized cultures of Primary mouse motoneurons. Subsequently, total RNA of both compartments was extracted
separately and either linearly amplified and subjected to microarray profiling or whole transcriptome amplification followed by RNA-Sequencing was performed. To make
the whole transcriptome amplification method suitable for compartmentalized cultures, we adapted a double-random priming strategy. First, we applied this method
for initial optimization onto serial dilutions of spinal cord RNA and later on to the compartmentalized motoneurons.
Analysis of the data obtained from wildtype cultures already revealed interesting results. First, the RNA composition of axons turned out to be highly similar to the somatodendritic compartment. Second, axons seem to be particularly enriched for transcripts related to protein synthesis and energy production. In a next step we
repeated the experiments by using knockdown cultures. The proteins depleted hereby are Smn, Tdp-43 and hnRNP R. Another experiment was performed by knocking down the non-coding RNA 7SK, the main interacting RNA of hnRNP R.
Depletion of Smn led to a vast number of deregulated transcripts in the axonal and somatodendritic compartment. Transcripts downregulated in the axons upon Smn depletion were especially enriched for GOterms related to RNA processing and encode proteins located in neuron projections including axons and growth cones.
Strinkingly, among the upregulated transcripts in the somatodendritic compartment we mainly found MHC class I transcripts suggesting a potential neuroprotective role.
In contrast, although knockdown of Tdp-43 also revealed a large number of downregulated transcripts in the axonal compartment, these transcripts were mainly
associated with functions in transcriptional regulation and RNA splicing. For the hnRNP R knockdown our results were again different. Here, we observed
downregulated transcripts in the axonal compartment mainly associated with regulation of synaptic transmission and nerve impulses. Interestingly, a comparison between deregulated transcripts in the axonal compartment of both hnRNP R and 7SK knockdown presented a significant overlap of several transcripts suggesting
some common mechanism for both knockdowns.
Thus, our data indicate that a loss of disease-associated proteins involved in axonal RNA transport causes distinct transcriptome alterations in motor axons.
In this work fluorescence-based single molecule detection at low concetration is investigated, with an emphasis on the usage of active transport and waveguides.
Active transport allows to overcome the limits of diffusion-based systems in terms of the lowest detectable threshold of concentration.
The effect of flow in single molecule experiments is investigated and a theoretical model is derived for laminar flow.
Waveguides on the other hand promise compact detection schemes and show great potential for their possible integration into lab-on-a-chip applications. Their properties in single molecule experiments are analyzed with help of a method based on the reciprocity theorem of electromagnetic theory.
The prediction and the experimental discovery of topological insulators has set the stage for a novel type of electronic devices. In contrast to conventional metals or semiconductors, this new class of materials exhibits peculiar transport properties at the sample surface, as conduction channels emerge at the topological boundaries of the system.
In specific materials with strong spin-orbit coupling, a particular form of a two-dimensional topological insulator, the quantum spin Hall state, can be observed.
Here, the respective one-dimensional edge channels are helical in nature, meaning that there is a locking of the spin orientation of an electron and its direction of motion.
Due to the symmetry of time-reversal, elastic backscattering off interspersed impurities is suppressed in such a helical system, and transport is approximately ballistic.
This allows in principle for the realization of novel energy-efficient devices, ``spintronic`` applications, or the formation of exotic bound states with non-Abelian statistics, which could be used for quantum computing.
The present work is concerned with the general transport properties of one-dimensional helical states. Beyond the topological protection mentioned above, inelastic backscattering can arise from various microscopic sources, of which the most prominent ones will be discussed in this Thesis. As it is characteristic for one-dimensional systems, the role of electron-electron interactions can be of major importance in this context.
First, we review well-established techniques of many-body physics in one dimension such as perturbative renormalization group analysis, (Abelian) bosonization, and Luttinger liquid theory. The latter allow us to treat electron interactions in an exact way.
Those methods then are employed to derive the corrections to the conductance in a helical transport channel, that arise from various types of perturbations.
Particularly, we focus on the interplay of Rashba spin-orbit coupling and electron interactions as a source of inelastic single-particle and two-particle backscattering. It is demonstrated, that microscopic details of the system, such as the existence of a momentum cutoff, that restricts the energy spectrum, or the presence of non-interacting leads attached to the system, can fundamentally alter the transport signature.
By comparison of the predicted corrections to the conductance to a transport experiment, one can gain insight about the microscopic processes and the structure of a quantum spin Hall sample.
Another important mechanism we analyze is backscattering induced by magnetic moments. Those findings provide an alternative interpretation of recent transport measurements in InAs/GaSb quantum wells.
This thesis reports a successful fabrication and characterisation of ferromagnetic/superconductor junction (F/S) on graphene. The thesis preposes a fabrication method to produce F/S junctions on graphene which make use of ALD grown Al2O3 as the tunnel barrier for the ferromagnetic contacts. Measurements done on F/G/S/G/F suggests that by injecting spin polarised current into the superconductor, a spin imbalance is created in the quasiparticle density of states of the superconductor which then diffuses through the graphene channel. The observed characteristic curves are similar to the ones which are already reported on metallic ferromagnet/superconductor junctions where the spin imbalance is created using Zeeman splitting. Further measurements also show that the curves loose their characteristic shapes when the temperature is increased above the critical temperature (Tc) or when the external magnetic field is higher then the critical field (Hc) of the superconducting contact. But to prove conclusively and doubtlessly the existence of spin imbalance in ferromagnet/superconductor junctions on graphene, more devices have to be made and characterised preferably in a dilution refrigerator.
Dementia is a complex neurodegenerative syndrome that by 2050 could affect about 135 Million people worldwide. People with dementia experience a progressive decline in their cognitive abilities and have serious problems coping with activities of daily living, including
orientation and wayfinding tasks. They even experience difficulties in finding their way in a familiar environment. Being lost or fear of getting lost may consequently develop into other psychological deficits such as anxiety, suspicions, illusions, and aggression. Frequent results are social isolation and a reduced quality of life. Moreover, the lives of relatives and
caregivers of people with dementia are also negatively affected.
Regarding navigation and orientation, most existing approaches focus on outdoor environment and people with mild dementia, who have the capability to use mobile devices. However, Rasquin (2007) observe that even a device with three buttons may be too complicated for
people with moderate to severe dementia. In addition, people who are living in care homes mainly perform indoor activities. Given this background, we decided to focus on designing a system for indoor environments for people with moderate to severe dementia, who are unable
or reluctant to use smartphone technology.
Adopting user-centered design approach, context and requirements of people with dementia were gathered as a first step to understand needs and difficulties (especially in spatial disorientation and wayfinding problems) experienced in dementia care facilities. Then, an "Implicit Interactive Intelligent (III) Environment" for people with dementia was proposed emphasizing implicit interaction and natural interface. The backbone of this III Environment is based on supporting orientation and navigation tasks with three systems: a Monitoring system, an intelligent system, and a guiding system. The monitoring system and intelligent system automatically detect and interpret the locations and activities performed by the users i.e. people with dementia. This approach (implicit input) reduces cognitive workload as well as physical workload on the user to provide input. The intelligent system is also aware of context, predicts next situations (location, activity), and decides when to provide an appropriate service to the users. The guiding system with intuitive and dynamic environmental cues (lighting with color) has the responsibility for guiding the users to the places they need to be.
Overall, three types of a monitoring system with Ultra-Wideband and iBeacon technologies, different techniques and algorithms were implemented for different contexts of use.
They showed a high user acceptance with a reasonable price as well as decent accuracy and precision. In the intelligent system, models were built to recognize the users’ current activity, detect the erroneous activity, predict the next location and activity, and analyze the
history data, detect issues, notify them and suggest solutions to caregivers via visualized web interfaces. About the guiding systems, five studies were conducted to test and evaluate the effect of lighting with color on people with dementia. The results were promising. Although
several components of III Environment in general and three systems, in particular, are in place (implemented and tested separately), integrating them all together and employing this in the dementia context as a fully properly evaluation with formal stakeholders (people with
dementia and caregivers) are needed for the future step.
Endogenous clocks help animals to anticipate the daily environmental changes. These
internal clocks rely on environmental cues, called Zeitgeber, for synchronization. The
molecular clock consists of transcription-translation feedback loops and is located in
about 150 neurons (Helfrich-Förster and Homberg, 1993; Helfrich-Förster, 2005). The
core clock has the proteins Clock (CLK) and Cycle (CYC) that together act as a
transcription activator for period (per) and timeless (tim) which then, via PER and TIM
block their own transcription by inhibiting CLK/CYC activity (Darlington et al., 1998;
Hardin, 2005; Dubruille and Emery, 2008). Light signals trigger the degradation of TIM
through a blue-light sensing protein Cryptochrome (CRY) and thus, allows CLK/CYC to
resume per and tim transcription (Emery et al., 1998; Stanewsky et al., 1998).
Therefore, light acts as an important Zeitgeber for the clock entrainment. The
mammalian clock consists of similarly intertwined feedback loops.
Endogenous clocks facilitate appropriate alterations in a variety of behaviors
according to the time of day. Also, these clocks can provide the phase information to the
memory centers of the brain to form the time of day related associations (TOD). TOD
memories promote appropriate usage of resources and concurrently better the survival
success of an animal. For instance, animals can form time-place associations related to
the availability of a biologically significant stimulus like food or mate. Such memories will
help the animal to obtain resources at different locations at the appropriate time of day.
The significance of these memories is supported by the fact that many organisms
including bees, ants, rats and mice demonstrate time-place learning (Biebach et al.
1991; Mistlberger et al. 1997; Van der Zee et al. 2008; Wenger et al. 1991). Previous
studies have shown that TOD related memories rely on an internal clock, but the identity
of the clock and the underlying mechanism remain less well understood. The present
study demonstrates that flies can also form TOD associated odor memories and further
seeks to identify the appropriate mechanism.
Hungry flies were trained in the morning to associate odor A with the sucrose
reward and subsequently were exposed to odor B without reward. The same flies were
exposed in the afternoon to odor B with and odor A without reward. Two cycles of the
65
reversal training on two subsequent days resulted in the significant retrieval of specific
odor memories in the morning and afternoon tests. Therefore, flies were able to
modulate their odor preference according to the time of day. In contrast, flies trained in
a non-reversal manner were unable to form TOD related memories. The study also
demonstrates that flies are only able to form time-odor memories when the two
reciprocal training cycles occur at a minimum 6 h interval.
This work also highlights the role of the internal state of flies in establishing timeodor
memories. Prolonged starvation motivates flies to appropriate their search for the
food. It increases the cost associated with a wrong choice in the T-maze test as it
precludes the food discovery. Accordingly, an extended starvation promotes the TOD
related changes in the odor preference in flies already with a single cycle of reversal
training. Intriguingly, prolonged starvation is required for the time-odor memory
acquisition but is dispensable during the memory retrieval.
Endogenous oscillators promote time-odor associations in flies. Flies in constant
darkness have functional rhythms and can form time-odor memories. In contrast, flies
kept in constant light become arrhythmic and demonstrated no change in their odor
preference through the day. Also, clock mutant flies per01 and clkAR, show compromised
performance compared to CS flies when trained in the time-odor conditioning assay.
These results suggest that flies need a per and clk dependent oscillator for establishing
TOD related memories. Also, the clock governed rhythms are necessary for the timeodor
memory acquisition but not for the retrieval.
Pigment-Dispersing Factor (PDF) neuropeptide is a clock output factor (Park and
Hall, 1998; Park et al., 2000; Helfrich-Förster, 2009). pdf01 mutant flies are unable to
form significant time-odor memories. PDF is released by 8 neurons per hemisphere in
the fly brain. This cluster includes the small (s-LNvs) and large (l-LNvs) ventral lateral
neurons. Restoring PDF in these 16 neurons in the pdf01 mutant background rescues
the time-odor learning defect. The PDF neuropeptide activates a seven transmembrane
G-protein coupled receptor (PDFR) which is broadly expressed in the fly brain (Hyun et
al., 2005). The present study shows that the expression of PDFR in about 10 dorsal
neurons (DN1p) is sufficient for robust time-odor associations in flies.
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In conclusion, flies use distinct endogenous oscillators to acquire and retrieve
time-odor memories. The first oscillator is light dependent and likely signals through the
PDF neuropeptide to promote the usage of the time as an associative cue during
appetitive conditioning. In contrast, the second clock is light independent and
specifically signals the time information for the memory retrieval. The identity of this
clock and the underlying mechanism are open to investigation.
The topic of this thesis is the theoretical and numerical analysis of optimal control problems, whose differential constraints are given by Fokker-Planck models related to jump-diffusion processes. We tackle the issue of controlling a stochastic process by formulating a deterministic optimization problem. The
key idea of our approach is to focus on the probability density function of the process,
whose time evolution is modeled by the Fokker-Planck equation. Our control framework is advantageous since it allows to model the action of the control over the entire range of the process, whose statistics are characterized by the shape of its probability density function.
We first investigate jump-diffusion processes, illustrating their main properties. We define stochastic initial-value problems and present results on the existence and uniqueness of their solutions. We then discuss how numerical solutions of stochastic problems are computed, focusing on the Euler-Maruyama method.
We put our attention to jump-diffusion models with time- and space-dependent coefficients and jumps given by a compound Poisson process. We derive the related Fokker-Planck equations, which take the form of partial integro-differential equations. Their differential term is governed by a parabolic operator, while the nonlocal integral operator is due to the presence of the jumps. The derivation is carried out in two cases. On the one hand, we consider a process with unbounded range. On the other hand, we confine the dynamic of the sample paths to a bounded domain, and thus the behavior of the process in proximity of the boundaries has to be specified. Throughout this thesis, we set the barriers of the domain to be reflecting.
The Fokker-Planck equation, endowed with initial and boundary conditions, gives rise to Fokker-Planck problems. Their solvability is discussed in suitable functional spaces. The properties of their solutions are examined, namely their regularity, positivity and probability mass conservation. Since closed-form solutions to Fokker-Planck problems are usually not available, one has to resort to numerical methods.
The first main achievement of this thesis is the definition and analysis of conservative and positive-preserving numerical methods for Fokker-Planck problems. Our SIMEX1 and SIMEX2 (Splitting-Implicit-Explicit) schemes are defined within the framework given by the method of lines. The differential operator is discretized by a finite volume scheme given by the Chang-Cooper method, while the integral operator is approximated by a mid-point rule. This leads to a large system of ordinary differential equations, that we approximate with the Strang-Marchuk splitting method. This technique decomposes the original problem in a
sequence of different subproblems with simpler structure, which are separately solved and linked to each other through initial conditions and final solutions. After performing the splitting step, we carry out the time integration with first- and second-order time-differencing methods. These steps give rise to the SIMEX1 and SIMEX2 methods, respectively.
A full convergence and stability analysis of our schemes is included. Moreover, we are able to prove that the positivity and the mass conservation of the solution to Fokker-Planck problems are satisfied at the discrete level by the numerical solutions computed with the SIMEX schemes.
The second main achievement of this thesis is the theoretical analysis and the numerical solution of optimal control problems governed by Fokker-Planck models. The field of optimal control deals with finding control functions in such a way that given cost functionals are minimized. Our framework aims at the minimization of the difference between a known sequence of values and the first moment of a jump-diffusion process; therefore, this formulation can also be considered as a parameter estimation problem for stochastic processes. Two cases are discussed, in which the form of the cost functional is continuous-in-time and discrete-in-time, respectively.
The control variable enters the state equation as a coefficient of the Fokker-Planck partial integro-differential operator. We also include in the cost functional a $L^1$-penalization term, which enhances the sparsity of the solution. Therefore, the resulting optimization problem is nonconvex and nonsmooth. We derive the first-order optimality systems satisfied by the optimal solution. The computation of the optimal solution is carried out by means of proximal iterative schemes in an infinite-dimensional framework.
Work is seen by many thinkers as the fundamental dimension of man`s existence on earth. Through work, he provides his basic necessities on earth and co-operate with God in the work of creation.
He received this mandate to work from the very beginning of creation by God. In carrying out this mandate, man every human being reflects the very action of the creator of the Universe.
God worked and intended that man who is created in His image and likeness continues the work of creation by working.
Even though Man suffers and sweats through work and yet, in spite of all this toil-perhaps in a sense because of it – work is a good thing for man. It is not only good in the sense that it is useful or something to enjoy; it is also good as being something worthy, that is to say something that corresponds to man's dignity that expresses this dignity and increases it.
This project examines man as a creature called to work and born into work. It is true that through work, man provides himself and his family with the basic necessities of life and everyday needs for the reason he charges wages for his sweat. Work goes beyond and should exceed the boundaries of the material benefit that comes out of it to the satisfaction and fulfilment for the very purpose we should work. The modern society has attached so much importance to money and material possession, the question then is how do we go along working in the spirit of improvement and renewal of the earth? The modern man understands work only as a means of making his daily bread. For this reason, he engages himself in an occupation that he has little or no interest in. He ends up quarrelling everyday with the people that he or she is supposed to serve through work. The result is low work output and waste of talents and the society loses an opportunity for improvement as every creature is supposed to contribute uniquely.
A good example is Nigeria, Africa’s most populous nation with a population estimate of about over 170,000,000 people and the sixth Oil producing Nation.
Starting from conception till death, man as a being relates with others. In this relationship he often encounters lots of problems that threaten his existence. One of them is the threat to his dignity. This experience is vivid in many countries particularly in Africa. But my work is limited to an ethnic group in Nigeria, namely Igbo people. The work discloses the extent 'displacement of value' in Igboland has contributed to the devaluation of human dignity and the attempts made to combat it. This displacement resulted in what we can call "value crisis". Some elements, like Igbo culture and cultural communication with foreign cultures that have tentacles in modernized orientation, are discussed as 'transmission carriers'. In order to x-ray properly the heart of this research and communicate the necessary messages, the work is presented in six chapters. However, this summary will not be presented in chapters.
Thus the need for a research on the reason for the failings and crisis of approach regarding this aspect of Igbo life that deals with the value of human dignity. This comes to term with the question which asked has the interest in the enhancement of the dignity of man waned because the effort towards this goal seem futile and unnecessary…Or is human dignity something we care about but take for granted as a cultural inheritance that no longer needs defence?” This question arouses thoughts on the value of HD. The entire work tried to justify the view that the protection of HD is for all times a true assignment of all. This must neither be considered to be relevant only for a time nor only for a portion or a group of individuals. Thus a special attention on this regard is demanded especially in modern day Igbo society.