Simplified decoding techniques for linear block codes

Error correcting codes are combinatorial objects, designed to enable reliable transmission of digital data over noisy channels. They are ubiquitously used in communication, data storage etc. Error correction allows reconstruction of the original data from received word. The classical decoding algorithms are constrained to output just one codeword. However, in the late 50’s researchers proposed a relaxed error correction model for potentially large error rates known as list decoding. The research presented in this thesis focuses on reducing the computational effort and enhancing the efficiency of decoding algorithms for several codes from algorithmic as well as architectural standpoint. The codes in consideration are linear block codes closely related to Reed Solomon (RS) codes. A high speed low complexity algorithm and architecture are presented for encoding and decoding RS codes based on evaluation. The implementation results show that the hardware resources and the total execution time are significantly reduced as compared to the classical decoder. The evaluation based encoding and decoding schemes are modified and extended for shortened RS codes and software implementation shows substantial reduction in memory footprint at the expense of latency. Hermitian codes can be seen as concatenated RS codes and are much longer than RS codes over the same aphabet. A fast, novel and efficient VLSI architecture for Hermitian codes is proposed based on interpolation decoding. The proposed architecture is proven to have better than Kötter’s decoder for high rate codes. The thesis work also explores a method of constructing optimal codes by computing the subfield subcodes of Generalized Toric (GT) codes that is a natural extension of RS codes over several dimensions. The polynomial generators or evaluation polynomials for subfield-subcodes of GT codes are identified based on which dimension and bound for the minimum distance are computed. The algebraic structure for the polynomials evaluating to subfield is used to simplify the list decoding algorithm for BCH codes. Finally, an efficient and novel approach is proposed for exploiting powerful codes having complex decoding but simple encoding scheme (comparable to RS codes) for multihop wireless sensor network (WSN) applications.

Identification and characterization of innate immune receptor substrates of γ-secretase enzyme complex

The γ-secretase protease complexes and associated regulated intramembrane proteolysis play an important role in controlling receptor-mediated intracellular signalling events, which have a central role in Alzheimer’s disease, cancer progression and immune surveillance. It has previously been reported that the Interleukin-1 receptor, type 1, (IL-1R1) is a substrate for regulated intramembrane proteolysis, mediated by presenilin (PS)-dependent γ-secretase activity. The aims of this project were twofold. Firstly, to determine the conservation of regulated intramembrane proteolysis as a physiological occurrence amongst other cytokine receptors. In this regard, similar to IL-1R1, we identified the Tumour necrosis factor receptor type 1 (TNFR1) and the Toll like receptor 4 (TLR4) as novel γ-secretase substrates. Secondly, given that the diversity of signalling events mediated by the IL-1R1, TLR4 and TNFR1 are spatially segregated, we investigated the spatial distribution, subcellular trafficking and subcellular occurrence of regulated intramembrane proteolysis of IL-1R1, TLR4 and TNFR1. Using dynasore an inhibitor of clathrin-dependent receptor endocytosis, both ectodomain shedding and γ-secretase-mediated cleavage of IL-1R1 were observed post-internalization. In contrast, TNFR-1 underwent ectodomain shedding at the cell surface followed by endosomal γ-secretase-mediated cleavage. Furthermore, immortalised fibroblasts from PS1-deficient mice showed impaired γ-secretasemediated cleavage of IL-1R1 and TNFR1, indicating that both are cleaved by PS1-and not PS2-containing γ-secretase complexes. Subcellular fractionation and immunofluorescence studies revealed that the γ-secretase generated IL-1R1 ICD translocates to the nucleus on IL-1β stimulation. These observations further demonstrate the novel PS-dependent means of modulating IL-1β, LPS and TNFα- mediated immune responses by regulating IL-1R1/TLR4/TNFR1 protein levels within the cells.

An examination of the impact of dietary lipids on behaviour and neurochemistry

The molecular and cellular basis of stress pathology remains an important research question in biological science. A better understanding of this may enable the development of novel approaches for the treatment of stress-related disorders. There is a considerable body of scientific evidence suggesting that dietary lipids, phospholipids and omega-3 polyunsaturated fatty acids (n-3 PUFAs), have therapeutic potential for certain psychiatric disorders. Thus, we proposed n-3 PUFAs as a novel strategy for the prevention or amelioration of stress-related disorders. We hypothesised that these compounds would improve behavioural and neurobiological responses and alter gut microbial composition. Furthermore, we proposed a new mechanism of action exerted by n-3 PUFAs using an in vitro model of stress. Lastly, we explored the protective effects of both phospholipids and n-3 PUFAs against neuroinflammation, which has been shown to contribute to the development of stress-related disorders. We provide further evidence that glucocorticoids, inflammation and early-life stress induce vulnerability to psychopathologies. Specifically, we have demonstrated that corticosterone (CORT) alters cortical neuron and astrocyte percentage composition, reduces brain-derived-neuronal factor (BDNF) expression, and induces glucocorticoid receptor (GR) down-regulation in mixed cortical cultures. Interestingly, we found that lipopolysaccharide (LPS) treatment resulted in an over-expression of pro-inflammatory cytokines in cortical astrocyte cultures. Moreover, we demonstrate that early-life stress induces changes to the monoaminergic and immune systems as well as altered neuroendocrine response to stressors later in life. In addition, we found that early-life stress alters the gut microbiota in adulthood. These data demonstrate that n-3 PUFAs can attenuate CORT-induced cellular changes, but not those caused by LPS, within the cerebral cortex. Similarly, phospholipids were unable to reverse LPS-induced inflammation in cultured astrocytes. In addition, this thesis proposes that n-3 PUFAs may prevent the development or lessen the symptoms of mental illnesses, ameliorating anxiety- and depressive-like symptoms as well as cognitive effects, particularly when administered during neurodevelopment. Such effects may be mediated by GR activation as well as by modification of the gut microbiota composition. Taken together, our findings suggest that n-3 PUFAs have therapeutic potential for stress-related disorders and we provide evidence for the mechanisms by which they may exert these effects. These findings contribute to an exciting and growing body of research suggesting that nutritional interventions may have an important role to play in the treatment of stress-related psychiatric conditions.