Browsing Mathematics (MA) by thesis submitted date"2018"
Now showing items 17 of 7

A computational systems biology approach for elucidating molecular features of primary and metastatic melanoma
Malignant melanoma, a cancer arising from melanocytes, is reported to have one of the fastest growing incidence rates worldwide, and is considered to be one of the most aggressive human malignancies. According to the ... 
Correlation Functions in the Finite Toom Model
This thesis is divided into four chapters. In Chapter 1, we give some basic definitions and results that we need throughout the thesis. In Chapter 2, we describe the pn0;n1qToom model and prove some known results about ... 
Decomposition of the tensor product of Hilbert modules via the jet construction and weakly homogeneous operators
Let ½ Cm be a bounded domain and K :£!C be a sesquianalytic function. We show that if ®,¯ È 0 be such that the functions K® and K¯, defined on £, are nonnegative definite kernels, then theMm(C) valued function ... 
Duality for Spaces of Holomorphic Functions into a Locally Convex Topological Vector Space
Consider an open subset O of the complex plane and a function f : O ÝÑ C. We understand the concept of holomorphicity of a complexvalued function. Suppose a function f defined on O takes values in a locally convex ... 
Numerical Methods for Elliptic Variational Inequalities in Higher Dimensions
The main emphasis of this thesis is on developing and implementing linear and quadratic finite element methods for 3dimensional (3D) elliptic obstacle problems. The study consists of a priori and a posteriori error ... 
Role of gamma oscillations in processing of natural stimuli
Gamma oscillations (~3080 Hz) are a prominent signature of electrophysiological signals recorded from the brain with proposed roles in various cognitive functions such as attention and visual perception. Although gamma ... 
A Study of Some Conformal Metrics and Invariants on Planar Domains
The main aim of this thesis is to explain the behaviour of some conformal metrics and invariants near a smooth boundary point of a domain in the complex plane. We will be interested in the invariants associated to the ...