Dr Alison Hale

Senior Research Associate, MSc (research) student

Research Interests

As a MRC Research Fellow I work at the interface of biostatistics and informatics in the CHICAS group at Lancaster Medical School. My fellowship research revolves around using routinely collected NHS patient data (from the population of Salford, UK) to investigate the health landscape of a population in both space and time. My work also involves developing statistical models and software for real-time surveillance of routinely recorded diseases in the veterinary sector. I have developed statistical models and software for estimating disease risk of a population, tracked by GPS, travelling through a geographical region.

I have spent several years researching in the Mathematical Physics Group where, notably in 2013, I developed a covariant electrodynamic constitutive field theory for hysteresis (both ferromagnetic and ferroelectric) materials which directly couples to Maxwell’s equations; to our knowledge this was a previously unsolved problem. The hysteretic material may be either stationary or moving (up to around the speed of light). Furthermore I have worked on ways to extend standard models for stationary media (dispersive materials) to models of media in motion (relativistic and non-relativistic). For situations where analytical solutions are unobtainable I have successfully developed numerical algorithms e.g. to simulate the evolution of electromagnetic fields in the presence of a hysteretic material in three dimensional space.

For a short period I also undertook research in the Nonlinear Biomedical Physics Group which included creating mathematical models to simulate macroscopic human brain dynamics. The models were compared to electroencephalographic (EEG) signals from surgical patients. Biological systems are intriguing as they present highly challenging nonlinear open regimes with a spectacular ability to form patterns.

Covariant hysteretic constitutive theory for Maxwell's equations: application to axially rotating media
Hale, A.C., Tucker, R.W. 21/02/2014 In: Philosophical Magazine. 94, 6, p. 594-610. 17 p.
Journal article

Modelling the anesthetized brain with ensembles of neuronal and astrocytic oscillators
Hansard, T., Hale, A., Stefanovska, A. 15/01/2013 In: AIP Proceedings. American Institute of Physics

Characterizing an ensemble of interacting oscillators: the mean-field variability index
Sheppard, L.W., Hale, A.C., Petkoski, S., McClintock, P.V.E., Stefanovska, A. 9/01/2013 In: Physical Review E. 87, 1, 11 p.
Journal article

Numerical regularization of electromagnetic quantum fluctuations in inhomogeneous dielectric media
Goto, S., Hale, A., Tucker, R., Walton, T. 30/03/2012 In: Physical Review A. 85, 3, 4 p.
Journal article

The Kuramoto model subject to a fluctuating environment: application to brainwave dynamics
Hale, A.C., Hansard, T., Sheppard, L.W., McClintock, P.V.E., Stefanovska, A. 03/2012 In: Fluctuation and Noise Letters. 11, 1, p. -. 11 p.
Journal article

Covariant electromagnetic constitutive models for dispersive and ferromagnetic media
Canovan, C., Tucker, R., Hale, A. 2011
Conference paper

Covariant electromagnetic constitutive theory for dispersive continua
Goto, S., Gratus, J., Hale, A., Tucker, R., Walton, T. 2011 In: Elasticity and anelasticity. Moscow : Moscow University Press p. 264-271. 8 p.

Mathematical physics activities at the Cockcroft Institute.
Burton, D.A., Gratus, J., Perlick, V., Tucker, R.W., Christie, D.C., Goto, S., Hale, A., Noble, A., Walton, C., Canovan, C.E.S., Ferris, M., Gallego Torrome, R., Smith, J.D.A., Wen, H. 04/2010 In: ICFA Beam Dynamics Newsletter. 51, p. 217-222. 6 p.
Journal article

Energy spectra from electromagnetic fields generated by ultra-relativistic charged bunches in a perfectly conducting cylindrical beam pipe
Hale, A.C., Tucker, R.W. 15/01/2010 In: Journal of Physics A: Mathematical and Theoretical. 43, 2, 13 p.
Journal article

Aspects of dynamically enhanced electromagnetic fields from charged relativistic sources in a beam pipe
Hale, A. 2009 Lancaster University. 228 p.
Doctoral Thesis