Max Planck Institute for Dynamics and Self-Organization -- Department for Nonlinear Dynamics and Network Dynamics Group
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Publications of Michael Schnabel

W. Keil, M. Kaschube, M. Schnabel, Z.F. Kisvárday, S. Löwel, D.M. Coppola, L.E. White, and F. Wolf (2012).
Response to Comment on "Universality in the Evolution of Orientation Columns in the Visual Cortex"
Science 336(6080):413. download file download file

M. Kaschube, M. Schnabel, S. Loewel, D.M. Coppola, L.E. White, and F. Wolf (2010).
Universality in the Evolution of Orientation Columns in the Visual Cortex
Science 330:1113--1116. download file download file

M. Kaschube, M. Schnabel, F. Wolf, and S. Löwel (2009).
Inter-areal coordination of columnar architectures during visual cortical development
Proceedings of the National Academy of Sciences 106(40):17205–17210. download file

M. Schnabel, M. Kaschube, L.E. White, and F. Wolf (2009).
Pattern selection, pinwheel stability and the geometry of visual space
In: . Eighteenth Annual Computational Neuroscience Meeting: CNS*2009 Berlin, Germany. 18–23 July 2009. download file

M. Schnabel, M. Kaschube, L.E. White, and F. Wolf (2009).
Quantifying signatures of collinearity and cocircularity in natural images and in orientation maps.
In: . Society for Neuroscience, Annual Meeting, Vol. 34.

M. Kaschube, M. Schnabel, and F. Wolf (2008).
Self-Organization and the Selection of Pinwheel Density in Visual Cortical Development
New Journal of Physics 10:015009 (20pp). download file

M. Schnabel (2008).
A Symmetry of the Visual World in the Architecture of the Visual Cortex
Phd thesis, University of Göttingen, Germany. download file

M. Schnabel, M. Kaschube, and F. Wolf (2008).
Pinwheel stability, pattern selection and the geometry of visual space
Preprint at arXiv. download file download file

F. Wolf, W. Keil, S. Löwel, and M. Schnabel (2007).
Emergence of hyper-hexagonal patterns in orientation map models of reduced rotation symmetry
In: . Society of Neuroscience Abstracts Vol 32, 346.22.

M. Schnabel, M. Kaschube, L.E. White, D. Coppola, and F. Wolf (2007).
Pinwheel stability, pattern selection and the geometry of visual space
In: . Society of Neuroscience Abstracts Vol 32, 346.7 .

M. Schnabel, M. Kaschube, S. Löwel, and F. Wolf (2007).
Random waves in the brain: Symmetries and defect generation in the visual cortex
European Physical Journal 145:137-157. download file

M. Kaschube, M. Schnabel, S. Löwel, D. Coppola, L.E. White, and F. Wolf (2006).
Universal pinwheel statistics in the visual cortex
In: . Society of Neuroscience Abstracts Vol 32, 545.9 .

M. Schnabel, M. Kaschube, L.E. White, D. Coppola, S. Löwel, and F. Wolf (2006).
Signatures of shift-twist symmetry in natural images and orientation maps
In: . FENS Abstracts, Vol 3, A179.30.

M. Kaschube, M. Schnabel, K. Kreikemeier, H. Dinse, B. Godde, K. Schmidt, S. Löwel, and F. Wolf (2005).
Soft spots in the functional architecture of the visual cortex
In: . Cosyne Conference, Salk Lake City, Poster # 140.

M. Kaschube, M. Schnabel, S. Löwel, and F. Wolf (2005).
Interareal coordination of column development in cat visual cortex.
In: . Society for Neuroscience Abstracts, Vol. 31, No. 978.18.

M. Schnabel, M. Kaschube, L.E. White, D. Coppola, S. Löwel, and F. Wolf (2005).
Shift-twist Symmetry in natural images and orientation maps
In: . Society for Neuroscience Abstracts, Vol. 31, No. 508.21.

M. Schnabel, M. Kaschube, L.E. White, S. Löwel, and F. Wolf (2005).
Signatures of shift-twist Symmetry in the layout of orientation preference maps
In: . Proceedings of the 30th Göttingen Neurobiology Conference.

K. Kreikemeier, K. Schmidt, S. Löwel, M. Kaschube, M. Schnabel, F. Wolf, B. Godde, and H. Dinse (2004).
Space-time characteristics of orientation preference map (OPM) plasticity in visual cortex of adult cats induced by intracortical microstimulation (ICMS).
In: . Society for Neuroscience Abstracts, Vol. 30, No. 513.51.

M. Kaschube, M. Schnabel, K. Kreikemeier, H. Dinse, B. Godde, K. Schmidt, S. Löwel, and F. Wolf (2004).
Sensitive locations in orientation preference maps.
In: . Society for Neuroscience Abstracts, Vol. 30, No. 866.1.

M. Schnabel, M. Kaschube, L.E. White, D. Coppola, and F. Wolf (2004).
Signatures of shift-twist symmetry in the layout of orientation preference maps
In: Society for Neuroscience Abstracts, Vol. 30, No. 866.3. Society for Neuroscience Abstracts, Vol. 30, No. 866.3.

M. Kaschube, F. Wolf, M. Schnabel, and S. Löwel (2003).
Are orientation preference maps attractors of a developmental dynamics?
In: . Society of Neuroscience Abstacts, 29th annual meeting, 911.21.

M. Kaschube, M. Schnabel, K. Kreikemeier, H. Dinse, K. Schmidt, S. Löwel, and F. Wolf (2003).
Localizing the ticklish spots of cortical orientation maps.
In: "Dynamics and Adaptivity of Neuronal Systems – Integrative Approaches to Analyzing Cognitive Functions" . 2nd Symposium of the VolkswagenStiftung (Magdeburg) .

M. Schnabel, M. Kaschube, S. Löwel, H. Dinse, and F. Wolf (2003).
The ticklish spots of cortical orientation maps
In: 29th Göttingen Neurobiology Conference, edited by Elsner, N. and Zimmermann, H.. Thieme, pages 611.

M. Timme, M. Schnabel, M. Kaschube, T. Geisel, S. Löwel, and F. Wolf (2003).
Pinwheel generation with shift-twist symmetry.
In: . Society of Neuroscience Abstracts Vol 29, 818.3 .

M. Schnabel, F. Wolf, and T. Geisel (2001).
Universal fine structure of orientation pinwheels
In: Proceedings of the 28th Göttingen Neurobiology Conference. Thieme, Stuttgart, pages 258.

M. Schnabel, and T. Wettig (2000).
Fake symmetry transitions in lattice Dirac spectra
Phys. Rev. D 62(3):034501 (4pp). download file