Event Abstract Back to Event Effect of complex delayed feedback in a neural field model Julien Modolo1*, Julien Campagnaud2 and Anne Beuter2 1 University of Western Ontario, Lawson Health Research Institute, Department of Medical Biophysics, Canada 2 Universite Bordeaux 1, UMR5218 CNRS, France Therapeutic modulation of cerebral activity holds promises for symptomatic treatment of neurodegenerative disorders such as Parkinson’s disease. Indeed, neurodegenerative disorders are characterized by identified changes in neural activity at the cortical or sub-cortical levels, which may be reversed with appropriate therapeutic interventions. A well-known example is deep brain stimulation in Parkinson’s disease. One challenge is to propose new stimulation patterns, applied preferably to the cortex to minimize invasiveness, and designed to target selectively predetermined brain rhythms while minimizing interference with physiological brain activity. As a step towards this goal, we first study a neural field model where a closed-loop stimulation term (i.e., a feedback loop is added to the system) is present.We derive a closed-loop stimulation term called complex delayed feedback since it includes: (1) a distributed delayed contribution of the potential; (2) the derivative of the undesirable component of the potential as well as the undesirable component itself (see supplementary Eq. 1). This closed-loop stimulation is designed to attenuate target frequency bands, while taking under consideration constraints such as spatial and temporal selectivity, robustness and minimized interference with physiological brain rhythms. Second, we perform a linear stability analysis of the neural field model with a limit case of complex delayed feedback, namely linear delayed feedback (Rosenblum and Pikovsky, 2004; see supplementary Eq. 2), and derive the dispersion relation between temporal and spatial modes of cortical waves (see supplementary Eq. 3).Our results indicate that linear delayed feedback selectively attenuates the propagation of cortical waves at given frequencies, depending on the feedback loop delay (see supplementary Eqs. 4 and 5). Consequently, it counteracts neuronal coupling and abnormal synchronization at these frequencies, without affecting individual dynamics. Furthermore, our results propose a more selective modulation of neuronal activity in which the dynamics of neuronal groups, as well as their coupling, may be affected. This modulation minimizes energy consumption by stimulating only where and when needed. Principles based on this approach may be exploited for the development of future stimulation devices interacting in a closed-loop manner with cortical tissue in the case of Parkinson’s disease. Another consequence of this work is that if frequency bands may be attenuated, they might also be augmented. The consequences of frequency bands augmentation on human behavior remain to be explored. Acknowledgements:The authors thank Axel Hutt and Roderick Edwards for useful discussions. This work is supported by the European Network of Excellence BioSim LSHB-CT-2004-005137. Conference: Bernstein Conference on Computational Neuroscience, Frankfurt am Main, Germany, 30 Sep - 2 Oct, 2009. Presentation Type: Poster Presentation Topic: Neurotechnology and brain computer interfaces Citation: Modolo J, Campagnaud J and Beuter A (2009). Effect of complex delayed feedback in a neural field model. Front. Comput. Neurosci. Conference Abstract: Bernstein Conference on Computational Neuroscience. doi: 10.3389/conf.neuro.10.2009.14.113 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 27 Aug 2009; Published Online: 27 Aug 2009. * Correspondence: Julien Modolo, University of Western Ontario, Lawson Health Research Institute, Department of Medical Biophysics, London, Canada, julien.modolo@inserm.fr Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Julien Modolo Julien Campagnaud Anne Beuter Google Julien Modolo Julien Campagnaud Anne Beuter Google Scholar Julien Modolo Julien Campagnaud Anne Beuter PubMed Julien Modolo Julien Campagnaud Anne Beuter Related Article in Frontiers Google Scholar PubMed Abstract Close Back to top Javascript is disabled. Please enable Javascript in your browser settings in order to see all the content on this page.