L. Spek MSc (Len)

I am a PhD-student working on Delay Equations arising from Neural Field Models in Neuroscience. I use Functional, Spectral and Non-Linear Analysis to investigate the qualitative behaviour of different variants of these models.

I am also interested in recent developments in the field of (Artificial) Neural Networks and how they are related to Dynamical Systems Theory and Mathematical Neuroscience.

Engineering & Materials Science

# Boundary Value Problems
# Differential Equations

Mathematics

# Boundary Value Problem
# Connectivity
# Delay Differential Equations

Medicine & Life Sciences

# Neurons
# Seizures
# Stroke

Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS), Mathematics of Imaging & AI (MIA)

Spek, L. (2023). Analysis of Dynamics of Neural Fields and Neural Networks. [PhD Thesis - Research UT, graduation UT, University of Twente]. University of Twente. https://doi.org/10.3990/1.9789036554824

Spek, L. , Gils, S. A. V. , Kuznetsov, Y. A. , & Polner, M. (2022). Bifurcations of Neural Fields on the Sphere.

Lentjes, B. , Spek, L., Bosschaert, M. M. , & Kuznetsov, Y. A. (2022). Periodic Center Manifolds and Normal Forms for DDEs in the Light of Suns and Stars. (pp. 1-59).

Spek, L. , Heeringa, T. J. , & Brune, C. (2022). Duality for Neural Networks through Reproducing Kernel Banach Spaces. (pp. 1-19).

Depannemaecker, D., Ivanov, A., Lillo, D. , Spek, L., Bernard, C., & Jirsa, V. (2022). A unified physiological framework of transitions between seizures, sustained ictal activity and depolarization block at the single neuron level. Journal of computational neuroscience, 50(1), 33-49. https://doi.org/10.1007/s10827-022-00811-1

Spek, L. , Dijkstra, K. , Gils, S. A. V. , & Polner, M. (2022). Dynamics of delayed neural field models in two-dimensional spatial domains. Journal of differential equations, 317, 439-473. https://doi.org/10.1016/j.jde.2022.02.002

Spek, L. , Kuznetsov, Y. A. , & van Gils, S. A. (2020). Neural field models with transmission delays and diffusion. Journal of mathematical neuroscience, 10, [21]. https://doi.org/10.1186/s13408-020-00098-5

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+31534897069

l.spek@utwente.nl

Visiting Address

University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling (building no. 11), room 3006
Hallenweg 19
7522NH Enschede
The Netherlands

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University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling 3006
P.O. Box 217
7500 AE Enschede
The Netherlands

Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS), Mathematics of Imaging & AI (MIA)

University of Twente Drienerlolaan 5
7522 NB Enschede

+31 (0)53 489 9111
info@utwente.nl
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Courses Academic Year 2021/2022

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