Correlations in low dimensional quantum systems

In this thesis I present the work done during my PhD in the area of low dimensional quantum gases. The chapters of this thesis are self contained and represent individual projects which have been peer reviewed and accepted for publication in respected international journals. Various systems are considered, the first of which is a two particle model which possesses an exact analytical solution. I investigate the non-classical correlations that exist between the particles as a function of the tunable properties of the system. In the second work I consider the coherences and out of equilibrium dynamics of a one-dimensional Tonks-Girardeau gas. I show how the coherence of the gas can be inferred from various properties of the reduced state and how this may be observed in experiments. I then present a model which can be used to probe a one-dimensional Fermi gas by performing a measurement on an impurity which interacts with the gas. I show how this system can be used to observe the so-called orthogonality catastrophe using modern interferometry techniques. In the next chapter I present a simple scheme to create superposition states of particles with special emphasis on the NOON state. I explore the effect of inter-particle interactions in the process and then characterise the usefulness of these states for interferometry. Finally I present my contribution to a project on long distance entanglement generation in ion chains. I show how carefully tuning the environment can create decoherence-free subspaces which allows one to create and preserve entanglement.

The role of the IL-1 type 1 receptor in the life, death and differentiation of adult hippocampal neural precursor cells

Neurogenesis occurs in two distinct regions of the adult brain; the subgranular zone (SGZ) of the dentate gyrus (DG) in the hippocampus, and the subventricular zone (SVZ) lining the lateral ventricles. It is now well-known that adult hippocampal neurogenesis can be modulated by a number of intrinsic and extrinsic factors e.g. local signalling molecules, exercise, environmental enrichment and learning. Moreover, levels of adult hippocampal neurogenesis decrease with age, at least in rodents, and alterations in hippocampal neurogenesis have been reported in animal models and human studies of neuropsychiatric and neurodegenerative conditions. Neuroinflammation is a common pathological feature of these conditions and is also a potent modulator of adult hippocampal neurogenesis. Recently, the orphan nuclear receptor TLX has been identified as an important regulator of adult hippocampal neurogenesis as its expression is necessary to maintain the neural precursor cell (NPC) pool in the adult DG. Likewise, exposure of animals to voluntary exercise has been consistently demonstrated to promote adult hippocampal neurogenesis. Lentivirus (LV)- mediated gene transfer is a useful tool to elucidate gene function and to explore potential therapeutic candidates across an array of conditions as it facilitates sustained gene expression in both dividing and post-mitotic cell populations. Both intrinsic and extrinsic factors are important regulators of adult hippocampal neurogenesis. Examining how these factors are affected by an inflammatory stimulus, and the subsequent effects on adult hippocampal neurogenesis provides important information for the development of novel treatment strategies for neuropsychiatric and neurodegenerative conditions in which adult hippocampal neurogenesis is impaired. The aims of the series of experiments presented in this thesis were to examine the effect of the pro-inflammatory cytokine interleukin-1β (IL-1β) on adult hippocampal NPCs both in vitro and in vivo. In vitro, we have shown that IL-1β reduces proliferation of adult hippocampal NPCs in a dose and time-dependent manner. In addition, we have demonstrated that TLX expression is reduced by IL-1β. Blockade of IL-1β signalling prevented both the IL-1β-induced reduction in cell proliferation and TLX expression. In vivo, we examined the effect of short term and long term exposure to LV-IL-1β in sedentary mice and in mice exposed to voluntary running. We demonstrated that impaired hippocampal neurogenesis is only evident after long term exposure to IL-1β. In mice exposed to voluntary running, hippocampal neurogenesis is significantly increased following short-term but not long-term exposure to running. Moreover, short-term running effectively prevents any IL-1β-induced effects on hippocampal neurogenesis; however, no such effects are seen following long-term exposure to running.

Investigating the function of PINK1 in cancer development and pathogenesis

PTEN‐induced kinase 1 (PINK1) was identified initially in cancer cells as a gene up‐regulated by overexpression of the central tumour suppressor, PTEN. Loss‐of‐function mutations in PINK1 were discovered subsequently to cause autosomal recessive Parkinsonʹs disease (ARPD). Despite much research focusing on the proposed mechanism(s) through which loss of PINKI function causes neurodegeneration, few studies have focused on a direct role for this serine/threonine kinase in cancer biology. The focus of this thesis was to examine a direct role for PINK1 function in tumourigenesis. Initial studies showed that loss of PINK1 reduces tumour‐associated phenotypes including cell growth, colony formation and invasiveness, in several cell types in vitro, indicating a pro‐tumourigenic role for PINK1 in cancer. Furthermore, results revealed for the first time that PINK1 deletion, examined in mouse embryonic fibroblasts (MEFS) from PINK1 knock‐out animals, causes cell cycle defects, whereby cells arrest at in cytokinesis, giving rise to a highly significant increase in the number of multinucleated cells. This results in several key changes in the expression profile of cell cycle associated protein. In addition, PINK1‐deficient MEFs were found to resist cell cycle exit, with a proportion of cells remaining in proliferative phases upon removal of serum. The ability of cells to progress through mitosis conferred by PINK1 expression was independent of its kinase activity, while the cell cycle exit following serum withdrawal was kinase dependent. Investigations into the mechanism through which loss of PINK1 function gives rise to cell cycle defects revealed that dynamin related protein 1 (Drp1)‐mediated mitochondrial fission is enhanced in PINK1‐ deficient MEFs, and that increased expression of Drp1 on mitochondria and activation of Drp1 is highly significant in PINK1‐deficient multinucleated cells. Deregulated and increased levels and activation of mitochondrial fission via Drp1 was shown to be a major feature of cell cycle defects caused by PINK1 deletion, both during progression through G2/M and cell cycle exit following serum removal. Altered PINK1 localisation was also observed during progression of mitosis, and upon serum deprivation. Thus, PINK1 dissociated from the mitochondria during the mitotic phases and localised to mitochondria upon serum withdrawal. During serum withdrawal deletion of PINK1 disabled the ability of MEFs to increase mitochondrial membrane potential (ΔΨm), and increase autophagy. This was co‐incident with increased mitochondrial fission, and increased localisation of Drp1 to mitochondria following serum deprivation. Together, this indicates an inability of PINK1‐negative cells to respond protectively to this stress‐induced state, primarily via impaired mitochondrial function. In contrast, PINK1 overexpression was found to protect cells from DNA damage following treatment with oxidants. In addition, deletion of PINK1 blocked the ability of cells to re‐enter the cell cycle in response to insulin‐like growth factor‐1 (IGF‐1), a major cancer promoting agonistwhich acts primarily via PI3‐kinase/Akt activation. Furthermore, PINK1 mRNA expression was significantly increased following serum deprivation of MCF‐7 cells, and this was rendered more significant upon additional inhibition of PI3‐kinase. Conversely, IGF‐1 activation of PI3‐kinase/Akt causes a time‐dependent and significant reduction of PINK1 mRNA expression that was PI3‐kinase dependent. Together these results indicate that PINK1 expression is necessary for IGF‐1 signalling and is regulated reciprocally in the absence and presence of IGF‐1, via PI3‐kinase/Akt, a signalling system which has major tumour‐promoting capacity in cancer cell biology. The results of this thesis indicate PINK1 is a candidate tumour-promoting gene which has a significant function in the regulation of the cell cycle, and growth factor responses, at key cell cycle checkpoints, namely, during progression through G2/M and during exit of the cell cycle following removal of serum. Furthermore, the results reveal that the regulation of mitochondrial fission and Drp1 function is mechanistically important in the regulation of cell cycle control by PINK1. As deregulation of the cell cycle is linked to both tumourigenesis and neurodegeneration, the findings of this thesis are of importance not just for understanding cancer biology, but also in the context of PINK1‐associated neurodegeneration.