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Chapter I GENERAL INTRODUCTION 1 §1 Fredholm and Volterra equations 1 1.1 Fredholm equations 1 1.2 Equations with a weak singularity 6 1.3 Volterra equations 6 §2 Other classes of integral equations 8 / 2.1 Equations with convolution kernels 8 * 2.2 The Wiener-Hopf equations 9 2.3 Dual equations 9 2.4 Integral transforms 10 * 2.5 Singular integral equations(More)
The mathematical foundation of many real-world problems can be quite deep. Such a situation arises in the study of the flow and deformation (rheology) of viscoelastic materials such as naturally occurring and synthetic polymers. In order to advance polymer science and the efficient manufacture of synthetic polymers, it is necessary to recover information(More)
The plant circadian clock is an internal timekeeper that coordinates biological processes with daily changes in the external environment. The transcript levels of clock genes, which oscillate to control circadian outputs, were examined during early seedling development in barley (Hordeum vulgare), a model for temperate cereal crops. Oscillations of clock(More)
There is an error in Fig 2C. Specifically, the panels for Fig 2C showing expression data for HvTOC1, HvGI and HvPRR73 were duplicates of panels from Fig 1C. The duplication of these images occurred during figure preparation and was an error made by the corresponding author (B. Trevaskis). The correction does not alter the conclusions of the study. The(More)
Respiratory syncytial virus (RSV) causes respiratory illness in young children and is most commonly associated with bronchiolitis. RSV typically occurs as annual or biennial winter epidemics in temperate regions, with less pronounced seasonality in the tropics. We sought to characterise and compare the seasonality of RSV and bronchiolitis in temperate and(More)
Respiratory syncytial virus (RSV) is the main cause of lower respiratory tract infections in children. Whilst highly seasonal, RSV dynamics can have either one-year (annual) or two-year (biennial) cycles. Furthermore, some countries show a 'delayed biennial' pattern, where the epidemic peak in low incidence years is delayed. We develop a compartmental model(More)