Franz Liszt’s Piano Sonata in B Minor: Precedents for an Analytical Evolution

Franz Liszt has all too often been discarded as the virtuosic showman, despite the fact that his several of works have often gained great praise and attracted scholarly engagement. However, one also finds striking development of formal design and tonal harmony in many of the works for his principal composition medium, the piano. This paper seeks to explore the practical application of James A. Hepokoski and Warren Darcy’s 'Sonata Theory' upon Liszt’s magnum opus for the instrument, the Sonata in B Minor.

I shall first consider the historical analyses placed upon the work that deal with structural design, as it pertains to the paradigm of Classical sonata-form. Previous research reveals two main theoretical camps; those in favour of a multi-movement analysis (with conflicting hypotheses therein) and those in favour of a single movement sonata-form. An understanding of these historical conceptions of the piece allows one to then highlight areas of conflict and offer a new solution.

Finally, I shall use Sonata Theory to survey the Sonata in B Minor’s landscape in a new light. The title ‘Sonata’ has clear generic implications, many of which are met by Liszt; 'Sonata Theory' provides a model with which to outline the compositional deformations employed by the composer and the implications of this practice. In particular, I offer new perspectives on the validity of the double-function form, insight into the rhetorical layout of a rotational discourse, and propose a nuanced analysis befitting of this striking work.

Novel Genetic Determinants of Diabetic Kidney Disease

Diabetic kidney disease (DKD) is a devastating diabetes complication, with known heritability not fully revealed by previous genetics studies. We performed the largest genome-wide association study of type 1 DKD to date, in a 13-cohort consortium of 15,590 individuals of European ancestry genotyped on the Illumina HumanCoreExome Beadchip, which allows exploration of coding variation in addition to genomic markers.

As prior work has shown that different characterizations of the DKD phenotype highlight distinct genetic associations, we investigated a spectrum of DKD definitions based on proteinuria and renal function criteria. Controls were DKD-free after a minimum of 15 years diabetes duration; cases had diabetes for at least 10 years prior to DKD diagnosis. We also performed a quantitative trait analysis of estimated glomerular filtration rate in all participants.

Our top finding was a missense mutation in COL4A3, rs55703767 (Asp326Tyr); the minor allele is common in Europeans (20%) and East Asians (13%) but not Africans (2%). This SNP had a genome-wide significant association with traditionally defined DKD (macroalbuminuria or end-stage renal disease [ESRD], (OR= 0.79, P=1.9×10-9), and a suggestive association with macroalbuminuria (OR= 0.79, P=1.6×10-6) and ESRD (OR= 0.79, P=4.5×10-5) individually. Though its PolyPhen score is 0.3 (benign), this SNP has been implicated as a splice site disruptor.

The COL4A3 gene encodes the alpha 3 subunit of Type IV collagen, the major structural component of basement membranes. Pathogenic mutations in COL4A3 have been identified in thin basement membrane nephropathy, familial focal segmental glomerulosclerosis, and Alport syndrome. A proxy (r2=0.6) for rs55703767 had no significant associations in the CKDGen consortium, suggesting its pathogenicity occurs solely in the setting of hyperglycemia.

By significantly increasing sample size we have discovered a novel locus underlying DKD risk, paving the way for better understanding of pathology, prevention, and treatment.

Evidence for three genetic loci involved in both anorexia nervosa risk and variation of body mass index

The maintenance of normal body weight is disrupted in patients with anorexia nervosa (AN) for prolonged periods of time. Prior to the onset of AN, premorbid body mass index (BMI) spans the entire range from underweight to obese. After recovery, patients have reduced rates of overweight and obesity. As such, loci involved in body weight regulation may also be relevant for AN and vice versa. Our primary analysis comprised a cross-trait analysis of the 1000 single-nucleotide polymorphisms (SNPs) with the lowest P-values in a genome-wide association meta-analysis (GWAMA) of AN (GCAN) for evidence of association in the largest published GWAMA for BMI (GIANT). Subsequently we performed sex-stratified analyses for these 1000 SNPs. Functional ex vivo studies on four genes ensued. Lastly, a look-up of GWAMA-derived BMI-related loci was performed in the AN GWAMA. We detected significant associations (P-values <5 × 10(-5), Bonferroni-corrected P<0.05) for nine SNP alleles at three independent loci. Interestingly, all AN susceptibility alleles were consistently associated with increased BMI. None of the genes (chr. 10: CTBP2, chr. 19: CCNE1, chr. 2: CARF and NBEAL1; the latter is a region with high linkage disequilibrium) nearest to these SNPs has previously been associated with AN or obesity. Sex-stratified analyses revealed that the strongest BMI signal originated predominantly from females (chr. 10 rs1561589; Poverall: 2.47 × 10(-06)/Pfemales: 3.45 × 10(-07)/Pmales: 0.043). Functional ex vivo studies in mice revealed reduced hypothalamic expression of Ctbp2 and Nbeal1 after fasting. Hypothalamic expression of Ctbp2 was increased in diet-induced obese (DIO) mice as compared with age-matched lean controls. We observed no evidence for associations for the look-up of BMI-related loci in the AN GWAMA. A cross-trait analysis of AN and BMI loci revealed variants at three chromosomal loci with potential joint impact. The chromosome 10 locus is particularly promising given that the association with obesity was primarily driven by females. In addition, the detected altered hypothalamic expression patterns of Ctbp2 and Nbeal1 as a result of fasting and DIO implicate these genes in weight regulation.

A multi vector energy analysis for interconnected power and gas systems

This paper presents the first multi vector energy analysis for the interconnected energy systems of Great Britain (GB) and Ireland. Both systems share a common high penetration of wind power, but significantly different security of supply outlooks. Ireland is heavily dependent on gas imports from GB, giving significance to the interconnected aspect of the methodology in addition to the gas and power interactions analysed. A fully realistic unit commitment and economic dispatch model coupled to an energy flow model of the gas supply network is developed. Extreme weather events driving increased domestic gas demand and low wind power output were utilised to increase gas supply network stress. Decreased wind profiles had a larger impact on system security than high domestic gas demand. However, the GB energy system was resilient during high demand periods but gas network stress limited the ramping capability of localised generating units. Additionally, gas system entry node congestion in the Irish system was shown to deliver a 40% increase in short run costs for generators. Gas storage was shown to reduce the impact of high demand driven congestion delivering a reduction in total generation costs of 14% in the period studied and reducing electricity imports from GB, significantly contributing to security of supply.