student profile: Mr Yang Qi


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Thesis work

Thesis title: Dynamic patterns in a two dimensional neural field with refractoriness

Supervisors: Pulin GONG , Peter ROBINSON

Thesis abstract:

Formation of dynamic patterns such as localized propagating waves is a fascinating self-organizing phenomenon that happens in a wide range of spatially extended systems including neural systems, in which they might play important functional roles. I have derived a type of two-dimensional neural field model with refractoriness to study the formation mechanism of localized waves. The model is able to generate a variety of localized patterns, including stationary bumps, localized waves rotating along a circular path, and localized waves with longer-range propagation. I construct explicit bump solutions for the two-dimensional neural field, and conduct a linear stability analysis on how a stationary bump transitions to a propagating wave under different spatial eigenmode perturbations. The neural field model is partially solved in a co-moving frame to obtain localized wave solutions, whose spatial profiles are in good agreement with those obtained from simulations. I demonstrate that when there are multiple such propagating waves, they exhibit rich propagation dynamics, including propagation along periodically oscillating and irregular trajectories; these propagation dynamics are quantitatively characterized. In addition, I show that these waves can have repulsive or merging collisions, depending on their collision angles and the refractoriness parameter. Due to its analytical tractability, the two-dimensional neural field model provides a modeling framework for studying localized propagating waves and their interactions. The remaining part of the project focuses on the computational implications of these dynamical patterns in large-scale, multi-layered networks.

Selected publications

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Journals

  • Qi, Y., Gong, P. (2015). Dynamic patterns in a two-dimensional neural field with refractoriness. Physical Review E, 92(2), 022702-1-022702-13. [More Information]
  • Qi, Y., Breakspear, M., Gong, P. (2015). Subdiffusive Dynamics of Bump Attractors: Mechanisms and Functional Roles. Neural Computation, 27(2), 255-280. [More Information]
  • Qi, Y., Palmer, J., Gong, P. (2013). Discrete breathers in integrate-and-fire oscillator networks. EPL, 102(3), 1-6. [More Information]
  • Gong, P., Steel, H., Robinson, P., Qi, Y. (2013). Dynamic patterns and their interactions in networks of excitable elements. Physical Review E, 88(4), 1-10. [More Information]
  • Qi, Y., Watts, A., Kim, J., Robinson, P. (2013). Firing patterns in a conductance-based neuron model: bifurcation, phase diagram, and chaos. Biological Cybernetics, 107(1), 15-24. [More Information]

2015

  • Qi, Y., Gong, P. (2015). Dynamic patterns in a two-dimensional neural field with refractoriness. Physical Review E, 92(2), 022702-1-022702-13. [More Information]
  • Qi, Y., Breakspear, M., Gong, P. (2015). Subdiffusive Dynamics of Bump Attractors: Mechanisms and Functional Roles. Neural Computation, 27(2), 255-280. [More Information]

2013

  • Qi, Y., Palmer, J., Gong, P. (2013). Discrete breathers in integrate-and-fire oscillator networks. EPL, 102(3), 1-6. [More Information]
  • Gong, P., Steel, H., Robinson, P., Qi, Y. (2013). Dynamic patterns and their interactions in networks of excitable elements. Physical Review E, 88(4), 1-10. [More Information]
  • Qi, Y., Watts, A., Kim, J., Robinson, P. (2013). Firing patterns in a conductance-based neuron model: bifurcation, phase diagram, and chaos. Biological Cybernetics, 107(1), 15-24. [More Information]

Note: This profile is for a student at the University of Sydney. Views presented here are not necessarily those of the University.