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Dr Alison Hale

Senior Research Associate

Alison Hale

Furness Building

Lancaster University

Bailrigg

Lancaster LA1 4YG

United Kingdom

Location:

Research Interests

My current research presently has two distinct directions:

First, my research undertaken in the Nonlinear Biomedical Physics Group includes mathematical modelling to simulate macroscopic human brain dynamics. The models are compared to electroencephalographic (EEG) signals from surgical patients. Additionally, exploratory searches of EEG data have been undertaken to investigate nonlinear interactions between different brain regions; the aim is to reveal aspects of brain function. Biological systems are intriguing as they present highly challenging nonlinear open regimes with a spectacular ability to form patterns.

Secondly, my research in the Mathematical Physics Group uses differential geometry to develop covariant electrodynamic models for dispersive and hysteretic materials (both ferroelectric and ferromagnetic). Within this framework I am developing ways to extend the standard models for stationary media to models of media in motion (relativistic and non-relativistic); the challenge is to ‘guess’ the correct constitutive relations. For situations where analytical solutions are unobtainable I am developing computer programs to simulate the evolution of electromagnetic fields (in three dimensional space).

Profile

I have a broad background gained in industry and business where I spent many years, first training and then working as an electronic engineer at GEC Marconi. Later I was employed as an IT Senior Systems Analyst at Ford Motor Company. In 2002 I commenced my university education at Lancaster University gaining a First Class Honours Masters degree in ‘Physics with Cosmology’ in just three years, then submitting my PhD thesis three years later in 2008. My thesis work was conducted in the Mathematical Physics Group (supervised by Prof. R.W. Tucker) and focused on ‘Aspects of Dynamically Enhanced Electromagnetic Fields from Charged Relativistic Sources in a Beam Pipe’.

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