Matched Asymptotic Expansions for Valuing Spread Options

Spread Options are crucial in the energy, currency and fixed income, and com- modity markets. The problem with spread options is that there are no closed- form formulae to price or hedge them. In this paper, we use matched asymptotic expansions in order to price spread options. We use both one-factor and two- factor models. In the one-factor models we assume the spread follows one of the following processes: Geometric Brownian Motion, Ornstein-Uhlenbeck and Arithmetic Brownian Motion. In the two-factor models, we assume the assets follow one of these processes

Autonomous Electric Vacuum Robot

Autonomous Electric Vacuum Robot is a cleaning robot specifically vacuuming. The robot's sole purpose is to replace the conventional method of vacuuming a floor which is time-consuming for the users whom have more important commitments to attend to. It consists of two systems working together to achieve the cleaning task

The Role Of Facebook In The Syrian Uprising

This paper studies the role of social media, mainly Facebook, played in the Syrian Uprising. social media tools were good mediums of electronic communication among protesters in Syria. Further, it was a vital medium for spreading information, such as photos, videos and documents about the revolution for national, regional and international spheres. This paper looked at the impact of Facebook on the uprising, and how Syrian people used social media ,technology and the nature of its role in the Syrian Uprising . The study has made a controversial argument between different views of scholars about the subject and its case. In this study I will argue that social media played a vital role in increasing democracy and creating a new discussion platform . It also helped in organizing and publicizing the political movement. I will also discuss that in the Arab world social media channels such as Facebook have become one of the most powerful tools of the revolutions, which convey the people’s demands of freedom, transparency, justice, and free-elected governments. The purpose of this essay is to understand the role of the social media, Facebook, in the Syrian uprising

Genetic Mutations of K\u3csub\u3eCa\u3c/sub\u3e2.3 and K\u3csub\u3eCa\u3c/sub\u3e3.1 Channels Affect Ca2+ Sensitivity

The Ca2+-activated potassium channels KCa channels are a unique family of potassium channels activated by intracellular calcium. KCa channels are critical for maintaining K+ homeostasis and modulate several physiological processes, from the firing properties of neurons to the control of the transmitter release. The Ca2+ sensitivity of these channels allows intracellular Ca2+ to regulate the electrical activity of the cell membrane. Increased Ca2+ sensitivity of KCa channels caused by gain of function mutations (GOF) in the KCNN genes results in a broad spectrum of human channelopathies, including Zimmermann- Laband syndrome (ZLS), idiopathic non-cirrhotic portal hypertension (INCPH), and hereditary xerocytosis (HX). The impact of dysfunctional KCa2.3/KCa3.1 channels on human health has not been well documented. In this dissertation, I used inside-out patch clamp recordings to measure the apparent Ca2+ sensitivity of KCa2.3 and KCa3.1 heterologously expressed in HEK293 cells. Wild-type KCa2.3 channels have a Ca2+ EC50 value of ∼0.3 μM, while the apparent Ca2+ sensitivity of wild-type KCa3.1 channels is ∼0.27 μM. The equivalent mutations related to the ZLS and INCPH in the S45A/S45B helices increased the apparent Ca2+ sensitivity of both KCa2.3 & KCa3.1 channel subtypes. However, the equivalent mutations related to the HX in HA/HB helices of KCa2.3 and KCa3.1 affected their apparent Ca2+ sensitivity differently. AP14145 reduced the apparent Ca2+ sensitivity of the hypersensitive mutant KCa2.3 channels. The results of my Ph.D. project would suggest the potential therapeutic usefulness of negative gating modulators as a novel target in these channelopathy-causing mutations. At the same time would guide us to design more potent and subtype-selective positive modulators targeting these channels