If you’re a bachelor/master student looking for a project, please have a look at open projects below, and contact me.

In progress

  1. Kalia, M. (Ongoing). Estimating Parameters in ODEs with Neural Networks.

Preprints

  1. Froyland, G., Kalia, M., & Koltai, P. (2024). Spectral clustering of time-evolving networks using the inflated dynamic Laplacian for graphs. ArXiv Preprint ArXiv:2409.11984.
  2. Kalia, M., Ligtenstein, S. L. B., Meijer, H. G. E., & van Putten, M. J. A. M. (2023). A neural mass model for the EEG in ischemia. BioRxiv. https://doi.org/10.1101/2023.04.07.535995
  3. Kalia, M., Brunton, S. L., Meijer, H. G. E., Brune, C., & Kutz, J. N. (2021). Learning normal form autoencoders for data-driven discovery of universal, parameter-dependent governing equations. ArXiv:2106.05102.
  4. Kalia, M., & Ghosh, S. (2015). Cross-Correlation in cricket data and RMT. ArXiv:1502.03411.

Peer-reviewed

  1. Engels, M., Kalia, M., Rahmati, S., Petersilie, L., Kovermann, P., van Putten, M. J. A. M., Rose, C. R., Meijer, H. G. E., Gensch, T., & Fahlke, C. (2021). Glial Chloride Homeostasis Under Transient Ischemic Stress. Frontiers in Cellular Neuroscience, 15, 365. https://doi.org/10.3389/fncel.2021.735300
  2. Kalia, M., Meijer, H. G. E., van Gils, S. A., van Putten, M. J. A. M., & Rose, C. R. (2021). Ion dynamics at the energy-deprived tripartite synapse. PLOS Computational Biology, 17(6), 1–37.
  3. Kalia, M., Kuznetsov, Y. A., & Meijer, H. G. E. (2019). Homoclinic saddle to saddle-focus transitions in 4D systems. Nonlinearity, 32(6), 2024–2054.