Financial modelling with 2-EPT probability density functions

The class of all Exponential-Polynomial-Trigonometric (EPT) functions is classical and equal to the Euler-d’Alembert class of solutions of linear differential equations with constant coefficients. The class of non-negative EPT functions defined on [0;1) was discussed in Hanzon and Holland (2010) of which EPT probability density functions are an important subclass. EPT functions can be represented as ceAxb, where A is a square matrix, b a column vector and c a row vector where the triple (A; b; c) is the minimal realization of the EPT function. The minimal triple is only unique up to a basis transformation. Here the class of 2-EPT probability density functions on R is defined and shown to be closed under a variety of operations. The class is also generalised to include mixtures with the pointmass at zero. This class coincides with the class of probability density functions with rational characteristic functions. It is illustrated that the Variance Gamma density is a 2-EPT density under a parameter restriction. A discrete 2-EPT process is a process which has stochastically independent 2-EPT random variables as increments. It is shown that the distribution of the minimum and maximum of such a process is an EPT density mixed with a pointmass at zero. The Laplace Transform of these distributions correspond to the discrete time Wiener-Hopf factors of the discrete time 2-EPT process. A distribution of daily log-returns, observed over the period 1931-2011 from a prominent US index, is approximated with a 2-EPT density function. Without the non-negativity condition, it is illustrated how this problem is transformed into a discrete time rational approximation problem. The rational approximation software RARL2 is used to carry out this approximation. The non-negativity constraint is then imposed via a convex optimisation procedure after the unconstrained approximation. Sufficient and necessary conditions are derived to characterise infinitely divisible EPT and 2-EPT functions. Infinitely divisible 2-EPT density functions generate 2-EPT Lévy processes. An assets log returns can be modelled as a 2-EPT Lévy process. Closed form pricing formulae are then derived for European Options with specific times to maturity. Formulae for discretely monitored Lookback Options and 2-Period Bermudan Options are also provided. Certain Greeks, including Delta and Gamma, of these options are also computed analytically. MATLAB scripts are provided for calculations involving 2-EPT functions. Numerical option pricing examples illustrate the effectiveness of the 2-EPT approach to financial modelling.

Simulation of multigate SOI transistors with silicon, germanium and III-V channels

In this work by employing numerical three-dimensional simulations we study the electrical performance and short channel behavior of several multi-gate transistors based on advanced SOI technology. These include FinFETs, triple-gate and gate-all-around nanowire FETs with different channel material, namely Si, Ge, and III-V compound semiconductors, all most promising candidates for future nanoscale CMOS technologies. Also, a new type of transistor called “junctionless nanowire transistor” is presented and extensive simulations are carried out to study its electrical characteristics and compare with the conventional inversion- and accumulation-mode transistors. We study the influence of device properties such as different channel material and orientation, dimensions, and doping concentration as well as quantum effects on the performance of multi-gate SOI transistors. For the modeled n-channel nanowire devices we found that at very small cross sections the nanowires with silicon channel are more immune to short channel effects. Interestingly, the mobility of the channel material is not as significant in determining the device performance in ultrashort channels as other material properties such as the dielectric constant and the effective mass. Better electrostatic control is achieved in materials with smaller dielectric constant and smaller source-to-drain tunneling currents are observed in channels with higher transport effective mass. This explains our results on Si-based devices. In addition to using the commercial TCAD software (Silvaco and Synopsys TCAD), we have developed a three-dimensional Schrödinger-Poisson solver based on the non-equilibrium Green’s functions formalism and in the framework of effective mass approximation. This allows studying the influence of quantum effects on electrical performance of ultra-scaled devices. We have implemented different mode-space methodologies in our 3D quantum-mechanical simulator and moreover introduced a new method to deal with discontinuities in the device structures which is much faster than the coupled-mode-space approach.

Health in the medieval world: Regionality and the bioarchaeology of Ireland and Britain

This study assesses regional health patterns in early medieval Ireland and Britain by analysing and interpreting palaeopathological indicators of stress. This was achieved by incorporating the results of demographic and palaeopathological study into the specific historical contexts. Although relatively small islands, both are home to unique and diverse cultural, physical, and political landscapes, which could potentially affect the general health of the population in different ways. To accurately answer the research question, a bioarchaeological survey of six regions within both islands was carried out, specifically analysing and comparing the demographic profile and general health trends within each region with one another. Results from the analysis have demonstrated statistically significant differences within and between the islands. Inferring that even the more subtle differences observed within the cultural, physical, and political landscapes, such as in the case of Ireland and Britain, can and do affect general health trends. The health of early medieval Ireland and Britain appears to be significantly affected by the physical landscape, specifically a north/south divide. The most northerly regions, Scotland South and Ireland North, manifested higher levels of stress indicators when compared to the more southerly positioned regions. Although it can only be hypothesised what factors within these regions are causing, enhancing or buffering stress, the study has established the potential and necessity for regional work to be continued when interpreting the historical past of these two islands.

Immunotherapy for the treatment of poor prognosis cancers

Cancer is amongst the leading causes of death worldwide and the number one cause in the developed world. Every year there are close to 10 million cancer related deaths and this corresponds to hundreds of millions of euro in health care costs and lost productivity, placing a substantial drain on the economy. The efficacy of traditional treatment modalities for cancer therapy, such as surgery, radiotherapy and chemotherapy has plateaued, and while they are undoubtedly effective at prolonging patient lifespan, there is a high rate of adverse side effects and fatal reoccurrence. Currently, there is a huge amount of interest in the areas of cancer immunosurveillance and cancer immuno-editing, which explain some of the complex interactions between the host immune system and cancer. If left unchecked, cancerous malignancies have the ability to generate an immunosuppressive microenvironment, effectively shielding themselves from elimination and promoting tumour growth and progression. To overcome this, the potential of the immune system must be harnessed and the work undertaken in this thesis sought to contribute to this goal. Focus was placed on using novel therapies, combining tumour ablation with immune-modulating antibodies to maximise tumour elimination in an immune dependent manner, to overcome immunosuppression and promote immune activation. Chapter 2 focuses on the use of ECT as a method of tumour ablation and its effects on the immune system. ECT proved to be effective at inhibiting the tumour growth both in vitro and in vivo, and conferred significant survival advantages in both small and large animal models. More importantly, ECT proved to cause tumour death in an immune dependent manner, displaying the hallmarks of Immunogenic Cell Death, increases in immune cell infiltration and generating tumour-specific immune responses. Chapter 3 focuses on combining ECT with immune checkpoint blockade inhibitors; anti- CTLA-4 and anti-PD-1. Both combinations proved to be effective at inhibiting both primary and distal tumour growth, indicating the generation of tumour specific immune responses and prolonged animal survival. In addition, the treatments caused increases in the levels of certain intra-tumoural immune cell subsets and modulated the cytokine profile of treated animals in a way that was favourable overall. Chapter 4 focuses on the combining ECT with an anti-iCOS agonist antibody, capable of causing immune co-stimulation. This novel combinational therapy proved to be the most effective by far, with a high cure rate achieved across a number of different in vivo tumour models. Total regression was seen in both primary and distal tumours, as well as spontaneous metastases, with the tumour specific immune response generated conferring total protection to animals on tumour rechallenge. Overall the data presented here adds further insight into the area of cancer immunotherapy with some of the novel combinational therapies demonstrating substantial clinic potential.

Cellular ROS imaging with hydro-Cy3 dye is strongly influenced by mitochondrial membrane potential

Background: Hydrocyanines are widely used as fluorogenic probes to monitor reactive oxygen species (ROS) generation in cells. Their brightness, stability to autoxidation and photobleaching, large signal change upon oxidation, pH independence and red/near infrared emission are particularly attractive for imaging ROS in live tissue. Methods: Using confocal fluorescence microscopy we have examined an interference of mitochondrial membrane potential (ΔΨm) with fluorescence intensity and localisation of a commercial hydro-Cy3 probe in respiring and non-respiring colon carcinoma HCT116 cells. Results: We found that the oxidised (fluorescent) form of hydro-Cy3 is highly homologous to the common ΔΨm-sensitive probe JC-1, which accumulates and aggregates only in ‘energised’ negatively charged mitochondrial matrix. Therefore, hydro-Cy3 oxidised by hydroxyl and superoxide radicals tends to accumulate in mitochondrial matrix, but dissipates and loses brightness as soon as ΔΨm is compromised. Experiments with mitochondrial inhibitor oligomycin and uncoupler FCCP, as well as a common ROS producer paraquat demonstrated that signals of the oxidised hydro-Cy3 probe rapidly and strongly decrease upon mitochondrial depolarisation, regardless of the rate of cellular ROS production. Conclusions: While analysing ROS-derived fluorescence of commercial hydrocyanine probes, an accurate control of ΔΨm is required. General significance: If not accounted for, non-specific effect of mitochondrial polarisation state on the behaviour of oxidised hydrocyanines can cause artefacts and data misinterpretation in ROS studies.