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Research Experience

University of Waterloo

  • PhD thesis (under the supervision of Dr. Sue Ann Campbell) [ongoing]
  • MMath thesis (under the supervision of Dr. Sue Ann Campbell) [2017-2019]
  • Undergraduate Student Research Award (USRA) (under the supervision of Dr. Chris Bauch and Dr. Madhur Anand) [2017]

University of Toronto

  • Math education research (in collaboration with Dr. Zohreh Shahbazi and Dr. Parker Glynn-Adey) [ongoing]

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PUBLICATIONS

  • Ahmed, M., and Campbell, S. A. (2019) Effect of genetic defects in a cortical circuit model associated with childhood absence epilepsy. Accepted for Proceedings of the V AMMCS International Conference 2019. In: Kilgour, D., Kunze, H., Makarov, R., Melnik, R., Wang, S. (eds) Recent Advances in Mathematical and Statistical Methods. AMMCS 2019. Springer Proceedings in Mathematics & Statistics. 

PROJECT PAPERS

  • Ahmed, M. (2018). Tumor-Induced Neoneurogenesis: A Mathematical Approach. Waterloo, ON: University of Waterloo.
  • Ahmed, M. (2018). Thalamocortical Relay Neurons: A Mathematical Investigation. Waterloo, ON: University of Waterloo.
  • Ahmed, M. (2019). Analysis of the Wilson-Cowan Model with Depolarization Block. Waterloo, ON: University of Waterloo.
  • Ahmed, M. (2020). Using the NEF to model sleep oscillations in a thalamocortical network. Waterloo, ON: University of Waterloo..
  • Ahmed, M. (2020). Population Density and Moment-Closure Method for Modelling a Network of Two-Compartment Integrate-and-Fire Neurons. Waterloo, ON: University of Waterloo.

CONFERENCE TALKS/POSTERS

  • [Poster] "Mean-field Model for a Network of Two-Compartment Integrate-and-Fire Neurons". International Conference on Mathematical Neuroscience (ICMNS)- Digital Edition. Virtual. (2020).
  • "Mean-field Model for a Network of Two-Compartment Integrate-and-Fire Neurons". Canadian Computational Neuroscience Spotlight (CCNS). Virtual. (2020).
  • "Effect of genetic defects in a cortical circuit model associated with childhood absence epilepsy". Canadian Mathematical Society (CMS) Winter Meeting. Toronto. (2019).
  • "Model for a cortical circuit associated with childhood absence epilepsy". Fields-CQAM Student Workshop on Dynamical Systems & Related Field. Waterloo. (2019).
  • "Model for a cortical circuit associated with childhood absence epilepsy". Applied Mathematics, Modeling & Computational Science (AMMCS) Conference. Waterloo. (2019).