I studied Physics and Mathematics in Utrecht and continued for a PhD in Mathematics with Yuri Kuznetsov and Ferdinand Verhulst as my advisors. After my defence in december 2006, I moved to the University of Twente to work with prof.dr. S.A. van Gils on more applied problems in Health, and mathematical neuroscience. Currently, I am an associate professor in the chair Applied Analysis within the DAMUT cluster SACS.
My research in Numerical Bifurcation Theory deals with theoretical descriptions and numerical tools for bifurcations in ODEs and maps. With these tools, we can classify the dynamics near a bifurcation. This information allows us to understand specific model behaviour and initialization of nontrivial bifurcation curves. I am an active developer of the Matlab toolbox MATCONT and have taught several related tutorials.
My research on Neurostimulation centres around the idea that a stimulus steers neuronal dynamics. For instance, we can use Deep Brain Stimulation to quench the undesirable oscillatory dynamics related to Parkinson's disease. Understanding the effect of such stimulation may lead to improved neuromodulation strategies. Neuromodulation and psychophysics also offer a unique window into pathology and cognition. The SPES protocol used in the workup for epilepsy surgery may reveal epileptogenic networks. I strive to develop computational models of neuronal dynamics that explain data and have clinical relevance.
News and Events:
--Spring 2021; With Daniele Avitabile (VU) I will be teaching a Mastermath course Mathematical Neuroscience.
--July 2020 Promoted to Associate Professor.
--March 9-13 2020: Just before Corona-lockdown, Research Visit to Thomas Knoesche, Leipzig.
--4-9-2019 We organize a minisymposium "From Epilepsy Surgery to Mathematical Models and Back" on the occasion of the PhD defence of Jurgen Hebbink. Speakers: Wim van Drongelen (Chicago), Thomas Knoesche (Leipzig), Arjan Hillebrand (Amsterdam UMC-VU).
--15-19 July 2019: We have a nice introductory workshop on bifurcations of ODEs, maps and DDEs with MatCont, see program
--20-5-19: We won the software contest of SIAM DSWeb
for our tool MatContM in the category faculty. Photo
at the DS19meeting at Snowbird.
--March 2019: Cambridge University Press published our book with Yu.A. Kuznetsov on "Numerical Bifurcation Analysis of Maps: From Theory to Software".
It contains an overview of codim 1 and 2 bifurcation and (new) theoretical results, description of software with tutorials, and several examples. More info on publisher site
. We have written a short BLOG
with some thoughts about the book.
--16-1-19: Co-Promotor at UGent for Niels Neirynck. He succesfully defended his PhD thesis "Advances in Numerical Bifurcation Software: MatCont". Congratulations!
--February-July 2018; Supervising Erasmus-exchange Filipa Sampaio on replication of papers on epilepsy surgery.
--18-9-17: I was awarded the education prize by the management team of the programme Biomedical Engineering Technology for my teaching, see the Picture
--10-7-17: Graduation of Manu Kalia co-supervised with Yuri Kuznetsov, see his Thesis
on homoclinic saddle to saddle-focus transitions in 4D systems.
--15-6-16: Surprise thanks for my teaching from Abacus (Student Association of Math), see the flowers
--February-June 2016: Guest researcher Zohre Eskandari from Isfahan, Iran, working on numerical symmetric bifurcations, resulting in a paper in 2018.
--4 December 2015: Huan Yang proudly defended his PhD Thesis. (Exactly nine years after my own, to the minute). Then moved for a postdoc to LACDR, Leiden, NL.
--April 2015: Following very positive comments of students, I was interviewed regarding my teaching. Read it here
--October 2014: Jurgen Hebbink started as PhD on the ZonMW-project "From neural mass models to clinical protocols" with UMC Utrecht, see Projects
--June 23-25, 2014: Bifurcation Analysis Workshop, Hasselt, June 23-25, 2014, see the Flyer
--November 2013: Theme session on Fechner Day 2013, Freiburg, see Proceedings
--Academic year 2009-2010, there will be a MRI masterclass
on Numerical Bifurcation Analysis of Dynamical Systems with several related
activities. Notes on codim 2 bifurcations of maps
--Enjoyed the New Directions Short Course Mathematical Neuroscience at the IMA. In fact all sources/videos are here
and still relevant.
--On 11-1-2008 we organize a one-day minisymposium Multiscale Modeling and Singular Perturbations
as part of a winterschool