dr. L. Spek (Len)

Researcher
EEMCS-AM-MIA
Zilverling 2067
l.spek@utwente.nl
+31534897069
Business card

I am a Lecturer and Post-Doc 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.

Expertise

  • Computer Science

    • Models
    • Neural Network
    • Transmission Delay

  • Physics

    • Model
    • Diffusivity

  • Mathematics

    • Calculus
    • Larger Group
    • Terms

Organisations

Publications

2023
A Joint Data- and Model-Driven Approach Simulating the Behaviour of a Walkalong Glider. Cambridge University Press. Alblas, D., van den Bosch, M., Feigl, Z., Klomp, L. J., Rottschäfer, V., Schwenninger, F., Spek, L., Weedage, L. & Zeijlemaker, S.https://doi.org/10.33774/miir-2023-p957pPeriodic Center Manifolds for DDEs in the Light of Suns and Stars (E-pub ahead of print/First online). Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.https://doi.org/10.1007/s10884-023-10289-9Embeddings between Barron spaces with higher order activation functions. Heeringa, T. J., Spek, L., Schwenninger, F. & Brune, C.https://doi.org/10.48550/arXiv.2305.15839Periodic Normal Forms for Bifurcations of Limit Cycles in DDEs. Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.Analysis of Dynamics of Neural Fields and Neural Networks. University of Twente. Spek, L.https://doi.org/10.3990/1.9789036554824
2022
Bifurcations of Neural Fields on the Sphere. Spek, L., Gils, S. A. v., Kuznetsov, Y. A. & Polner, M.Duality for Neural Networks through Reproducing Kernel Banach Spaces, 1-19. Spek, L., Heeringa, T. J., Schwenninger, F. L. & Brune, C.https://doi.org/10.48550/arXiv.2211.05020Periodic Center Manifolds and Normal Forms for DDEs in the Light of Suns and Stars, 1-59. Lentjes, B., Spek, L., Bosschaert, M. M. & Kuznetsov, Y. A.Dynamics of delayed neural field models in two-dimensional spatial domains, 439-473. Spek, L., Dijkstra, K., Gils, S. A. v. & Polner, M.https://doi.org/10.1016/j.jde.2022.02.002A unified physiological framework of transitions between seizures, sustained ictal activity and depolarization block at the single neuron level, 33-49. Depannemaecker, D., Ivanov, A., Lillo, D., Spek, L., Bernard, C. & Jirsa, V.https://doi.org/10.1007/s10827-022-00811-1

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 2067
Hallenweg 19
7522 NH Enschede
Netherlands

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University of Twente

Zilverling (building no. 11), room 3006
Hallenweg 19
7522 NH Enschede
Netherlands

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Organisations

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