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dr. H.G.E. Meijer (Hil)

Associate Professor

About Me

Hil Meijer is an associate professor (UHD) in the group Applied Analysis at the Department of Applied Mathematics. I started at the University of Twente in 2007, after finsihing a PhD Mathematics in Utrecht (2006). My research interests are in applied dynamical systems theory and neuroscience.

How can we use neuromodulation to improve neuronal function?

Combining mathematical modeling with numerical analysis, I collaborate with several (clinical) groups to analyse real data to improve clinical understanding, diagnostics and protocols.  Current projects focus on ion dynamics during energy deprivation (ischemia), neurostimulation for improved stimulation protocols in epilepsy surgery (with UMC Utrecht). I am a co-developer of MatCont, a leading numerical bifurcation analysis toolbox, for which I contribute new numerical algorithms and give courses and tutorials on its use.

Other and previous projects considered sensory processes, in particular somatosensation in relation to pain, and neuromodulation with deep brain stimulation for Parkinson's disease combining models  and experiments. 

Teaching includes Mathemtical Modelling, Calculus, Linear Algebra, Nonlinear Dynamics, Matlab, and Numerical Methods for Biomedical Engineering and Applied Mathematics.

Expertise

Bifurcation
Bifurcation (Mathematics)
Normal Form
Model
Seizures
Electric Stimulation
Homoclinic
Bifurcation Analysis
Brain

Publications

Recent
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, [735300]. https://doi.org/10.3389/fncel.2021.735300
Pusuluri, K. , Meijer, H. G. E., & Shilnikov, A. L. (2021). (INVITED) Homoclinic puzzles and chaos in a nonlinear laser model. Communications in Nonlinear Science and Numerical Simulation, 93, [105503]. https://doi.org/10.1016/j.cnsns.2020.105503
Govaerts, W. , Kuznetsov, Y. A. , Meijer, H. G. E., Neirynck, N. , & van Wezel, R. J. A. (2021). Bistability and Stabilization of Human Visual Perception under Ambiguous Stimulation. Nonlinear Dynamics, Psychology, and Life Sciences, 25(3), 297-307.
Kalia, M., Brunton, S. L. , Meijer, H. G. E. , Brune, C., & Kutz, J. N. (2020). Deep learning of normal form autoencoders for universal, parameter-dependent dynamics. Paper presented at 1st NeurIPS workshop on Interpretable Inductive Biases and Physically Structured Learning, . https://inductive-biases.github.io/papers/46.pdf
Meijer, H. G. E. , & Craig, T. S. (2020). An interdisciplinary eye on mathematics service teaching. In J. van der Veen, N. van Hattum-Janssen, H-M. Järvinen, T. de Laet, & I. ten Dam (Eds.), Engaging, Engineering, Education: Book of Abstracts, SEFI 48th Annual Conference University of Twente (online), 20-24 September, 2020 (pp. 995-1003). University of Twente.

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Contact Details

Visiting Address

University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling (building no. 11), room 3016
Hallenweg 19
7522NH  Enschede
The Netherlands

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Mailing Address

University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling  3016
P.O. Box 217
7500 AE Enschede
The Netherlands

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