Synchrony measures for biological neural networks

Biological cybernetics
P F Pinsky, J Rinzel

Abstract

Synchronous firing of a population of neurons has been observed in many experimental preparations; in addition, various mathematical neural network models have been shown, analytically or numerically, to contain stable synchronous solutions. In order to assess the level of synchrony of a particular network over some time interval, quantitative measures of synchrony are needed. We develop here various synchrony measures which utilize only the spike times of the neurons; these measures are applicable in both experimental situations and in computer models. Using a mathematical model of the CA3 region of the hippocampus, we evaluate these synchrony measures and compare them with pictorial representations of network activity. We illustrate how synchrony is lost and synchrony measures change as heterogeneity amongst cells increases. Theoretical expected values of the synchrony measures for different categories of network solutions are derived and compared with results of simulations.

References

May 1, 1977·Annals of Neurology·P A Schwartzkroin, D A Prince
Jun 1, 1994·Journal of Computational Neuroscience·P F Pinsky, J Rinzel
Aug 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Christiansen, M T Levinsen
Dec 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·D Golomb, J Rinzel

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Citations

Sep 22, 2011·Biological cybernetics·Mahmood AmiriFariba Bahrami
Jul 13, 2007·Journal of Computational Neuroscience·Janet BestCharles Wilson
Mar 29, 2003·Neural Networks : the Official Journal of the International Neural Network Society·Katsumi TatenoSatoru Ishizuka
Jul 18, 2008·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Utako B BarnikolPeter A Tass
Apr 15, 2015·Proceedings of the National Academy of Sciences of the United States of America·Manisha Sinha, Rishikesh Narayanan
Dec 23, 2014·IEEE Transactions on Neural Networks and Learning Systems·Hamid SoleimaniDerek Abbott
Dec 23, 2006·Bio Systems·Christian Hauptmann, Peter A Tass
Sep 26, 2006·International Journal of Psychophysiology : Official Journal of the International Organization of Psychophysiology·Peter A Tass, Christian Hauptmann
Aug 9, 2005·Journal of Theoretical Biology·Steven Sevush
Jun 16, 2015·Frontiers in Neuroscience·Alekhya MandaliAhmed A Moustafa
Apr 11, 2008·Neuron·Evgueniy V Lubenov, Athanassios G Siapas
Dec 17, 2014·Frontiers in Computational Neuroscience·Martin EbertPeter A Tass
Jan 15, 2009·Journal of Neural Engineering·C Hauptmann, P A Tass
Sep 3, 2010·Journal of Neural Engineering·Christian Hauptmann, Peter A Tass
Jan 8, 2016·Journal of Mathematical Neuroscience·Peter AshwinRachel Nicks
Sep 14, 2007·Expert Review of Medical Devices·Christian HauptmannPeter A Tass
Apr 24, 2009·Anesthesiology·Allan Gottschalk, Sam A Miotke
Mar 1, 2011·Frontiers in Life Science·S CoombesC J Sumner
Mar 13, 2019·Frontiers in Neural Circuits·Vignayanandam Ravindernath MuddapuSrikanth Ramaswamy
Feb 5, 2015·Journal of Neural Engineering·Marcel A J LourensStephan A van Gils
Aug 20, 2021·Neural Computation·Cecilia RomaroSalvador Dura-Bernal

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