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              <text>Rheumatoid arthritis (RA) is a chronic autoimmune disease characterised by persistent synovial inflammation, joint destruction, and pain. While immune mechanisms underlying RA are well established, emerging evidence highlights an important role for neuro-immune crosstalk in disease progression. In particular, mast cells and transient receptor potential (TRP) ion channels may contribute to inflammatory signalling within the synovium. This study aimed to genotype and characterise transgenic mouse models of RA to investigate the roles of mast cells and TRP channels, with a focus on TRPM2 and TRPM8.  Wild-type, heterozygous, conditional knockout, and global knockout mice were analysed. Genotyping was performed using PCR and agarose gel electrophoresis to confirm genotype. Histological analysis of mouse knee joints was conducted using haematoxylin and eosin staining to assess tissue morphology, toluidine blue staining to identify mast cells, and immunostaining to detect TRP ion channel expression. Protein analysis was performed using ELISA to quantify inflammatory mediators, including IL-6, PGE₂, and Substance P, alongside Bradford assays to determine total protein content.  PCR successfully confirmed the generation of transgenic mouse lines. Histological analysis revealed synovial inflammation and mast cell infiltration characteristic of RA, while immunostaining identified TRPM2 and TRPM8 expression within inflamed joints. TRPM2 knockout mice exhibited reduced inflammatory features compared to wild-type controls. ELISA confirmed the presence of key inflammatory mediators, supporting a mechanistic link between neuronal signalling and mast cell-driven inflammation. Collectively, these findings support a contributory role for mast cells and TRP ion channels in RA pathology and highlight their potential as therapeutic targets.</text>
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              <text>Under the supervision of Dr Gareth Tracey, I have completed an undergraduate research project studying base sizes of permutation groups. I am interested in computational and character-theoretic techniques used to obtain these base sizes. I have computed several base sizes for almost simple sporadic groups and their subgroups, extending results in the literature. I am also interested in applications of combinatorial techniques to general results about base sizes. I have explored an application of Hall’s Marriage Theorem to take steps towards a new proof of an existing result. </text>
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              <text>This project report explores the base sizes of group actions. We begin with some preliminary definitions and results. Next, we investigate a combinatorial approach to proving the bound $|G| \geq 2^{b(G)}$; we give a conjecture for a stronger statement concerning a system of distinct representatives for sets $\left\{ \bigcap\limits_{\alpha \in \Omega}\mathrm{Stab}_G(\alpha) : \emptyset \neq \Omega \subseteq B \right\}$, where $B$ is a minimal base for a permutation group $G$.  Subsequently, we follow a paper of Burness, O'Brien and Wilson in explaining various computational and character-theoretic techniques that can be used to compute base sizes. Finally, we apply these methods to a selection of almost simple sporadic groups and their subgroups.</text>
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              <text>This research report examines the mining industry in Guatemala, focusing on the diverse perspectives of various stakeholders regarding development and the industry’s benefits. Through a series of interviews with indigenous community members, government officials, and academics, the study explores the multifaceted impacts of mining activities. The findings reveal a complex landscape where economic benefits, such as job creation and infrastructure development, are weighed against environmental degradation and social disruption. Indigenous community members express concerns about health risks and loss of traditional livelihoods, while academics highlight economic growth and technological advancements. Government officials discuss regulatory challenges and policy implications, emphasizing sustainable long-term practices. This report aims to provide a comprehensive understanding of how the mining industry aligns with or contradicts the development goals of different stakeholders, offering insights for policymakers to balance economic and social interests.</text>
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