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pro vyhledávání: '"van Gils Stephan A"'
A common model to study pattern formation in large groups of neurons is the neural field. We investigate a neural field with excitatory and inhibitory neurons, like Wilson and Cowan (1972), with transmission delays and gap junctions. We build on the
Externí odkaz:
http://arxiv.org/abs/2212.11785
Publikováno v:
BMC Neuroscience, Vol 12, Iss Suppl 1, p P351 (2011)
Externí odkaz:
https://doaj.org/article/ded9b02ef32a42c9951492400e48331a
Autor:
Meijer Hil GE, Bouwhuis Wilco, Holleman Esther, Visser Sid, van Putten Michel JAM, van Gils Stephan A
Publikováno v:
BMC Neuroscience, Vol 12, Iss Suppl 1, p P350 (2011)
Externí odkaz:
https://doaj.org/article/89a997ef807b456d8cd2d6f9c8740dca
Publikováno v:
BMC Neuroscience, Vol 10, Iss Suppl 1, p P282 (2009)
Externí odkaz:
https://doaj.org/article/d0a154fa91a14cb3a26a8ead628bd5ef
Publikováno v:
The Journal of Mathematical Neuroscience, 10(1), 1-50 (2020)
A neural field models the large scale behaviour of large groups of neurons. We extend results of van Gils et al. [2013] and Dijkstra et al. [2015] by including a diffusion term into the neural field, which models direct, electrical connections. We ex
Externí odkaz:
http://arxiv.org/abs/1912.09762
Autor:
Boink, Yoeri E., Lagerwerf, Marinus J., Steenbergen, Wiendelt, van Gils, Stephan A., Manohar, Srirang, Brune, Christoph
Photoacoustic tomography is a hybrid imaging technique that combines high optical tissue contrast with high ultrasound resolution. Direct reconstruction methods such as filtered backprojection, time reversal and least squares suffer from curved line
Externí odkaz:
http://arxiv.org/abs/1707.02245
This paper focuses on multi-scale approaches for variational methods and corresponding gradient flows. Recently, for convex regularization functionals such as total variation, new theory and algorithms for nonlinear eigenvalue problems via nonlinear
Externí odkaz:
http://arxiv.org/abs/1703.05560
Autor:
Spek, Len1 l.spek@utwente.nl, van Gils, Stephan A.1 s.a.vangils@utwente.nl, Kuznetsov, Yuri A.1,2 kuznet@math.uu.nl, Polner, Mónika3 polner@math.u-szeged.hu
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 2024, Vol. 23 Issue 3, p1909-1945. 37p.
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation April 2020 83
Publikováno v:
J. Math. Biol. (2013) 66: 837-887
Neural field models with transmission delay may be cast as abstract delay differential equations (DDE). The theory of dual semigroups (also called sun-star calculus) provides a natural framework for the analysis of a broad class of delay equations, a
Externí odkaz:
http://arxiv.org/abs/1209.2849