Discipline: 
Mathematics
Status: 
Available
Level: 
Summer Project
Supervisor(s): 
Dr Steve Mehrkanoon

Note:  While this project is hosted by another UQ unit at Herston (not SMP), students studying Maths/Physics are encouraged to apply.

Suitable for:  Students with a background in mathematics, physics, electrical engineering and biomedical engineering interested in HDR pathway.

Project:  We will investigate how different types of node interconnectivity patterns affect simulated EEG patterns in network models of brains.  We will mathematically and statistically compare the output of the models analysed/simulated by the Honours student with human EEG-driven network patterns.  Knowledge of the systems of differential equations, and some numerical methods would be very useful.  We will initially study the publication "Which model to Use for Cortical Spiking Neurons?" and extend the ideas to more complex network models such as those used in Dynamics of Networks of Leaky-Integrate-and-Fire Neurons.  In particular , dynamics of the Hindmarsh-Rose neuron model will be mathematically analysed and simulated both individually and on networks.

Related publications are as follows:  Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model (3), Piecewise-linear approximation of the Hindmarsh-Rose neuron model (4).  (1) IEEE Transactions on Neural Networks, Vol. 15, No. 5, September 2004 1063 Which Model to Use for Cortical Spiking Neurons? Eugene M. Izhikevich (2) Dynamics of Networks of Leaky-Integrate-and-Fire Neurons, Chapter Network Science, pp. 217-242 (3) Barrio, Roberto and Shilnikov, Andrey. Parameter-sweeping techniques for temporal dynamics of neuronal systesm:  case study of Hindmarsh-Rose model, The Journal of Mathematical Neuroscience, 2011, 1(1), 1-6 (4) Storace, Marco. and Linaro, Daniele. and Lange, Enno de., The Hindmarsh-Rose neuron model: Bifurcation analysis and piecewise-linear approximations, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008, 18, 3, 033128-1 033128-10.

Expected outcomes:  The Summer Research Scholar will gain the following skills:

1.  Biomedical data-driven modelling in a research partner engagement.

2.  Translation of the knowledge of differential equations into simulation of network models of brain.

3.  Have a unique opportunity to learn computational neuroscience and signal processing techniques.

4.  Have an opportunity to develop a scientific article with the first author role as well as to develop a future research plan for higher graduate degree.

5.  Have a unique opportunity to learn neonatal human brain structure and function.

Duration:  8 weeks (hours expected per week - 36).

Contact:  Dr Steve Mehrkanoon, UQ Centre for Clinical Research, Herston; Email - s.mehrkanoon@uq.edu.au.  The supervisor MUST be contacted by students prior to submission of an application.