Now showing items 1-10 of 44
Exact solutions for perfect fluids conformal to a Petrov type D spacetime.
Abstract is available from the print copy.
Modelling the response of cytotoxic t-lymphocytes in controlling solid tumour invasion.
We present mathematical models to study the mechanism of interaction of tumour infiltrating cytotoxic lymphocytes (TICLs) with tumour cells. We focus on the phase spaces of the systems and the nature of the solutions for ...
Credit derivative valuation and parameter estimation for CIR and Vasicek-type models.
A credit default swap is a contract that ensures protection against losses occurring due to a default event of an certain entity. It is crucial to know how default should be modelled for valuation or estimating of ...
New classes of exact solutions for charged perfect fluids.
We investigate techniques to generate new classes of exact solutions to the Einstein- Maxwell field equations which represent the gravitational field of charged perfect fluid spherically symmetric distributions of ...
Asymptotic analysis of singularly perturbed dynamical systems.
According to the needs, real systems can be modeled at various level of resolution. It can be detailed interactions at the individual level (or at microscopic level) or a sample of the system (or at mesoscopic level) and ...
Transport on network structures.
This thesis is dedicated to the study of flows on a network. In the first part of the work, we describe notation and give the necessary results from graph theory and operator theory that will be used in the rest of ...
Categorical systems biology : an appreciation of categorical arguments in cellular modelling.
With big science projects like the human genome project, , and preliminary attempts to seriously study brain activity, e.g. , mathematical biology has come of age, employing formalisms and tools from most branches ...
Applications of embedding theory in higher dimensional general relativity.
The study of embeddings is applicable and signicant to higher dimensional theories of our universe, high-energy physics and classical general relativity. In this thesis we investigate local and global isometric ...
Age structured models of mathematical epidemiology.
We consider a mathematical model which describes the dynamics for the spread of a directly transmitted disease in an isolated population with age structure, in an invariant habitat, where all ...
Matrices of graphs and designs with emphasis on their integral eigen-pair balance characteristic.
The interplay between graphs and designs is well researched. In this dissertation we connect designs and graphs entirely through their associated matrices – the incidence matrix for designs and the adjacency matrix for ...