Selected Articles

  • Popovych, S., Rosjat, N., Toth, T.I., Wang, B.A., Liu, L., Abdollahi, R.O., Viswanathan, S., Grefkes, C., Fink, G.R., Daun, S., 2016. Movement-related phase locking in the delta-theta frequency band. Neuroimage. Jun 29. doi: 10.1016/j.neuroimage.2016.06.052. [Epub ahead of print]
  • Toth, T.I., Daun-Gruhn, S., 2015. A three-leg model producing tetrapod and tripod coordination patterns of ipsilateral legs in the stick insect. J Neurophysiol, DOI: 10.1152/jn.00693.2015
  • Grabowska, M., Toth, T.I., Smarandache-Wellmann, C., Daun-Gruhn, S., 2015. A network model comprising 4 segmental, interconnected ganglia, and its application to simulate multi-legged locomotion in crustaceans, J Comput Neurosci, online first, DOI 10.1007/s10827-015-0559-3.
  • Toth, T.I., Grabowska, M., Rosjat, N., Hellekes, K., Borgmann, A., Daun-Gruhn, S., 2015. Investigating inter-segmental connections between thoracic ganglia in the stick insect by means of experimental and simulated phase response curves. Biol Cybern, online first, DOI 10.1007/s00422-015-0647-5.
  • Rosjat, N., Popovych, S., Daun-Gruhn, S., 2014. A mathematical model of dysfunction of the thalamo-cortical loop in schizophrenia. Theoretical Biology and Medical Modelling, 11(45), 1-21.
  • Toth, T.I.,  Schmidt, J., Büschges, A., Daun-Gruhn, S. 2013. A neuro-mechanical model of a single leg joint highlighting the fundamental physiological role of fast and slow muscle fibres of an insect muscle system. PLOS ONE, DOI: 10.1371/journal.pone.0078247
  • Toth, T.I.,  Grabowska, M., Schmidt, J., Büschges, A., Daun-Gruhn, S., 2013. A neuro-mechanical model explaining the physiological role of fast and slow muscle fibres at stop and start of stepping of an insect leg. PLOS ONE, DOI: 10.1371/journal.pone.0078246
  • Knops, S., Toth, T.I., Guschlbauer, C., Gruhn, M., Daun-Gruhn, S., 2012. A neuromechanical model for curve walking in the stick insect. Journal of Neurophysiology. J Neurophysiol, 109(3), 679-691
  • Blümel, M., Guschlbauer, C., Daun-Gruhn, S., Hooper, S.L., Büschges, A., 2012. Hilltype muscle model parameters determined from experiments on single muscles show large animal-to-animal variation. Biol Cybern, 106(10), 559-571
  • Grabowska, M., Godlewska, E., Schmidt, J., Daun-Gruhn, S., 2012. Quadrupedal gaits in hexapod animals – Stepping patterns in free-walking adult stick insects. J Exp Biol, 215, 4255-4266
  • Menz, V.K., Popovych, S., Küpper, T., 2012. Modelling of Synaptic STDP and Analysis in a Two-Neuron Model. Discontinuity, Nonlinearity and Complexity, 1, 1-6. DOI:10.5890/DNC.2012.03.002
  • Toth, T.I., Knops, S., Daun-Gruhn, S., 2012. A neuro-mechanical model explaining forward and backward stepping in the stick insect. Journal of Neurophysiology, 107(12), 3267-80.
  • Borgmann, A., Toth, T.I., Gruhn, M., Daun-Gruhn, S.*, Büschges, A.*, 2011. Dominance of local load signals over inter-segmental effects in a motor system. I. Experiments, Biological Cybernetics, 105(5-6), 399-411; *shared senior authorship
  • Daun-Gruhn, S., Toth, T.I., Borgmann, A., 2011. Dominance of local load signals over inter-segmental effects in a motor system. II. Simulation studies, Biological Cybernetics, 105(5-6), 413-426.
  • Daun-Gruhn, S. and Toth, T.I., 2011. An inter-segmental network model and its use in elucidating gait-switches in the stick insect, Journal of Computational Neuroscience, 31(1), 43-60.
  • Toth, T.I. and Daun-Gruhn, S., 2011. A putative neuronal network controlling the activity of the leg motoneurons of the stick insect. NeuroReport, 22(18), 943-946.
  • Crunelli, V., Errington, A.C., Hughes, S.W., Tóth, T.I., 2011. The thalamic low-threshold Ca2+ potential: a key determinant of the local and global dynamics of the slow (<1 Hz) sleep oscillation in thalamocortical networks, Phil. Trans. R. Soc. A, 369, 3820-3839, doi: 10.1098/rsta.2011.0126.
  • Daun-Gruhn, S., 2011. A mathematical modeling study of inter-segmental coordination during stick insect walking, Journal of Computational Neuroscience, 30(2), 255-278.
  • Daun, S. Rubin, J., Rybak, I., 2009. Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis, Journal of Computational Neuroscience, 27(1), 3-36.
  • Popovych, S., Küpper, T., Müller, R., Brockhaus-Dumke, A., 2009. Modelling disturbances in early sensory processing in schizophrenia. GAMM-Mitteilungen, 32(1), 93-104, DOI: 10.1002/gamm.200910007
  • Daun, S., Rubin, J., Parker, P., Roy, A., Clermont, G., 2008. An Ensemble of Models of the Acute Inflammatory Response to Bacterial Lipopolysaccharide in Rats: Results from Parameter Space Reduction, Journal of Theoretical Biology, 253(4):843-53.
  • Tóth, T.I., Bessaïh, T., Leresche, N., Crunelli, V., 2007. The properties of reticular thalamic neuron GABAA IPSCs of absence epilepsy rats lead to enhanced network excitability, Eur J Neurosci, 26(7):1832-44.
  • Daun, S. and Tjardes, T., 2007. Modeling, analysis and calculation of cerebral hemodynamics. Computational and Mathematical Methods in Medicine, 8(3). 205-223.
  • Popovych, S., Gail, A., Schropp, J., 2006. Complex dynamics of a single neuron model. Phys. Rev. E 74, 041914, DOI: 10.1103/PhysRevE.74.041914
  • Daun, S. and Tjardes, T., 2005. Development of a species-specific model of cerebral hemodynamics. Journal of Theoretical Medicine, 6(3), 181-195.

 

 

Reviews

  • Ayali, A., Borgmann, A., Büschges, A., Couzin-Fuchs, E., Daun-Gruhn, S., Holmes, P., 2015. The comparative investigation of the stick insect and cockroach models in the study of insect locomotion. Current Opinion in Insect Science 12: 1-10
  • Büschges, A., Daun-Gruhn, S., Gruhn, M, Schmidt, J., 2014. The complexity of the ordinary – the neural control of locomotion. In: S. Leyssen, P. Rathgeber (eds), Bilder animierter Bewegung, Wilhelm Fink Verlag; 1. Edition; EAN: 9783770556243.
  • Daun-Gruhn, S. and Büschges, A., 2011. From neuron to behavior: Dynamic equation-based prediction of biological processes in motor control, Biological Cybernetics, 105(1), 71-88.
  • Daun, S., Rubin, J., Vodovotz, Y., Clermont, G., 2008. Equation-based models of dynamic biological systems. Journal of Critical Care, 23(4), 585-594.
  • Daun, S. and Clermont, G., 2007. In silico modeling in infectious disease, Drug Discovery Today: Dis Models, (only available online: since 3 October 2007) (invited review).

 

 

Selected Short Articles (from major conferences)

  • Toth, T.I., Daun-Gruhn, S., 2015. A model postulating a pivotal role of the levator-depressor neuro-muscular systems in locomotion of the stick insect. OCNS, Prague, Czech Republic.
  • Toth, T.I., Berg, E., Büschges, A., Schmidt, J., Daun-Gruhn, S., 2015. Modelling searching movements of the front leg in the stick insect by means of a neuro-muscular model. OCNS, Prague, Czech Republic.
  • Rosjat, N., Popovych, S., Wang, B., Liu, L., Toth, T.I., Viswanathan, S., Grefkes, C. B., Fink, G. R., Daun-Gruhn, S., 2015. Phase-difference analysis of EEG data in movement related tasks reveals common underlying network of synchronous activity, Wissenschaftstag Köln- Jülich, Jülich, Germany.
  • Wang B, Viswanathan, S, Abdollahi, R, Daun-Gruhn, S., Grefkes, C.B, Fink, G. R., 2015. Network effects on individual movement representations: Preliminary EEG evidence, Wissenschaftstag Köln- Jülich, Jülich, Germany.
  • Rosjat, N., Popovych, S., Wang, B., Liu, L., Toth, T.I., Viswanathan, S., Grefkes, C. B., Fink, G. R., Daun-Gruhn, S., 2015. Phase-locking in the theta-delta band is an EEG marker of movement execution, Wissenschaftstag Köln-Jülich, Jülich, Germany.
  • Grabowska, M., Toth, T.I., Büschges, A., Borgmann, A., Daun-Gruhn, S., 2014. Theoretical and experimental investigations of an inter-segmental control network and its application to multi-legged locomotion. SfN, Annual meeting, Washington, USA.
  • Mantziaris, C., Rosjat, N., Daun-Gruhn, S., Büschges, A., Borgmann, A. 2014. Investigating weakly coupled oscillators in the stick insect locomotor system. SfN, Annual meeting, Washington, USA.
  • Rosjat, N., Toth, T.I., Mantziaris, C., Borgmann, A., Daun-Gruhn, S., 2014. Using dynamic causal modeling in the study of the stick insect locomotor system. SfN, Annual meeting, Washington, USA.
  • Collienne, U., Popovych, S., Hess, S., Hess, M., Brüning, J.C., Daun-Gruhn, S., Kloppenburg, P., 2014. Cellular mechanisms of firing patterns in synaptically isolated midbrain dopaminergic neurons. SfN, Annual meeting, Washington, USA.
  • Rosjat, N., Daun-Gruhn, S., Popovych, S., 2013. Mathematical model of the thalamo-cortical loop by dysfunction in schizophrenia. OCNS Annual meeting, Paris, France.
  • Toth, T.I., Büschges, A., Daun-Gruhn, S., 2013. A neuro-mechanical model containing fast and slow muscle fibres applied to mimic stop and re-start of a stepping leg. OCNS Annual meeting, Paris, France.
  • Popovych, S., Collienne, U., Hess, S., Kloppenburg, P., Daun-Gruhn, S., 2013. Computational model of midbrain dopaminergic neuron activity in obesity. OCNS Annual meeting, Paris, France.
  • Rosjat, N., Müller, R., Popovych, S., Daun-Gruhn, S., 2012. Dysfunction of the thalamo-cortical loop in schizophrenia: EEG data and mathematical model. Neurovisionen 8, Aachen, Germany.
  • Knops, S., Toth, T.I., Guschlbauer, C., Gruhn, M., Daun-Gruhn, S., 2012. Neuro-mechanical control of forwards, backwards and sidewards walking. Neurovisionen 8, Aachen, Germany.
  • Toth, T., Daun-Gruhn, S., 2012. Putative role of the slow and fast muscles in maintaining posture and in locomotion in a model of the protractor-retractor neuro-muscular system of the stick insect. SfN, Annual meeting, New Orleans, USA.
  • Daun-Gruhn, S., Toth, T.I., Hellekes, K., Borgmann, A., Büschges, A., 2012. Analysis and simulation of experimental phase response curves obtained in the stick insect by using an inter-segmental network model. SfN, Annual meeting, New Orleans, USA.
  • Knops, S., Toth, T.I., Daun-Gruhn, S., 2012. A neuro-mechanical model for curve walking in the stick insect. DZG Annual meeting, Konstanz, Germany.
  • Zehl, L., Daun-Gruhn, S., Oelschläger, H.H.A., Walkowiak, W., Huggenberger, S., 2012. Characterization of the dolphin cochlear nucleus using cluster analysis. European Cetacean Society Conference, Galway, Ireland.
  • Daun-Gruhn, S., and Toth, T.I., 2011. A model of the coupled levator-depressor and protractor-retractor neuro-mechanical system of the stick insect leg. DMV Annual meeting, Köln, Germany.
  • Zehl, L., Daun-Gruhn, S., Oelschläger, H.H.A., Walkowiak, W., Huggenberger, S., 2011. Characterization of the dolphin cochlear nucleus using cluster analysis. SfN Annual meeting, Washington, USA.
  • Daun-Gruhn, S., Grabowska, M., Godlewska, E., Schmidt, J., 2011. Quadrupedal gaits in hexapod animals - Stepping patterns in free-walking adult stick insects. DZG Annual meeting, Saarbrücken, Germany.
  • Daun-Gruhn, S. and Toth, T.I., 2011. A model of the levator-depressor neuromechanical system of the stick insect leg. OCNS Annual meeting, Stockholm, Sweden.
  • Daun-Gruhn, S., and Toth, T.I., 2011. Influence of sensory feedback on central pattern generation during stepping – dynamics near an oscillatory domain. SIAM conference on applications of dynamical systems, Salt Lake City, USA
  • Blümel, M., Guschlbauer, C., Daun-Gruhn, S., Hooper, S.L., Büschges, A., 2011. Generation and investigation of animal specific hill-type muscle models of the stick insect. Annual meeting of the German Neuroscience Society, Göttingen, Germany.
  • Grabowska, M., Godlewska, E., Schmidt, J., Daun-Gruhn, S., 2011. Stepping patterns in free walking adult stick insects. Annual meeting of the German Neuroscience Society, Göttingen, Germany.

 

 

Theses

  • Daun, S., 2006. Modellierung, Analyse und Berechnung der zerebrovaskularen Regulationsmechanismen. Doctoral Dissertation, University of Cologne, Germany.

  • Daun, S., 2003. Bifurkationen im Beeler-Reuter Modell. Diploma Thesis, University of Cologne, Germany.