Statistical Long-Term Correlations in Dissociated Cortical Neuron Recordings

The study of nonlinear long-term correlations in neuronal signals is a central topic for advanced neural signal processing. In particular, the existence of long-term correlations in neural signals recorded via multielectrode array (MEA) could provide interesting information about changes in interneuron communications. In this study we propose a new method for long-term correlation analysis of neuronal burst activity based on the periodogram alpha slope estimation of the MEA signal. We applied our method to recordings taken from cultured networks of dissociated rat cortical neurons. We show the effectiveness of the method in analyzing the activity changes as well as the temporal dynamics that take place during the development of such cultures. Results demonstrate that the alpha parameter is able to divide the network development in three well-defined stages, showing pronounced variations in the long-term correlation among bursts.

[1]  T. Basarsky,et al.  Hippocampal synaptogenesis in cell culture: developmental time course of synapse formation, calcium influx, and synaptic protein distribution , 1994, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  Jan Beran,et al.  Statistics for long-memory processes , 1994 .

[3]  Steve M. Potter,et al.  Persistent dynamic attractors in activity patterns of cultured neuronal networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  H. Robinson,et al.  Effects of alpha-pompilidotoxin on synchronized firing in networks of rat cortical neurons. , 1998, Neuroscience letters.

[5]  H. Robinson,et al.  Spontaneous periodic synchronized bursting during formation of mature patterns of connections in cortical cultures , 1996, Neuroscience Letters.

[6]  MICHAEL A. CORNER,et al.  Spontaneous Bioelectric Activity as Both Dependent and Independent Variable in Cortical Maturation , 1991, Annals of the New York Academy of Sciences.

[7]  Steve M. Potter,et al.  An extremely rich repertoire of bursting patterns during the development of cortical cultures , 2006, BMC Neuroscience.

[8]  Tang,et al.  Self-organized criticality. , 1988, Physical review. A, General physics.

[9]  M. E. Wise.  Spike Interval Distributions for Neurons and Random Walks with Drift to a Fluctuating Threshold , 1981 .

[10]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality: Emergent Complex Behavior in Physical and Biological Systems , 1998 .

[11]  Eisaku Maeda,et al.  Experimental analysis of neuronal dynamics in cultured cortical networks and transitions between different patterns of activity , 1997, Biological Cybernetics.

[12]  G. Turrigiano.  Homeostatic plasticity in neuronal networks: the more things change, the more they stay the same , 1999, Trends in Neurosciences.

[13]  Maria Gabriella Signorini,et al.  Synchronization of neurons in micro-electrode array cultures , 2008 .

[14]  M. Heuschkel,et al.  The generation of rhythmic activity in dissociated cultures of rat spinal cord , 2001, The European journal of neuroscience.

[15]  M. Okada,et al.  Dysfunction of M-channel enhances propagation of neuronal excitability in rat hippocampus monitored by multielectrode dish and microdialysis systems , 2000, Neuroscience Letters.

[16]  Maria Gabriella Signorini,et al.  A NEW APPROACH TO THE SPATIO-TEMPORAL PATTERN IDENTIFICATION IN NEURONAL MULTI-ELECTRODE REGISTRATIONS , 2007 .

[17]  Robert G. Turcott,et al.  Temporal correlation in cat striate-cortex neural spike trains , 1996 .

[18]  G. Gross,et al.  Acute toxicity screening of novel AChE inhibitors using neuronal networks on microelectrode arrays. , 2001, Neurotoxicology.

[19]  M. Teich,et al.  The periodogram and Allan variance reveal fractal exponents greater than unity in auditory-nerve spike trains. , 1996, The Journal of the Acoustical Society of America.

[20]  T. Musha,et al.  1/f Fluctuation of Heartbeat Period , 1982, IEEE Transactions on Biomedical Engineering.

[21]  Malte Meesmann,et al.  Further study on 1/f fluctuations observed in central single neurons during REM sleep , 2004, Biological Cybernetics.

[22]  E. Wanke,et al.  How do TTX and AP5 affect the post-recovery neuronal network activity synchronization? , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[23]  Annette Harsch,et al.  Effects of α-pompilidotoxin on synchronized firing in networks of rat cortical neurons , 1998, Neuroscience Letters.

[24]  D. Plenz,et al.  Homeostasis of neuronal avalanches during postnatal cortex development in vitro , 2008, Journal of Neuroscience Methods.

[25]  W. Willinger,et al.  ESTIMATORS FOR LONG-RANGE DEPENDENCE: AN EMPIRICAL STUDY , 1995 .

[26]  Guenter W. Gross,et al.  Distribution-free graphical and statistical analysis of serial dependence in neuronal spike trains , 1996, Journal of Neuroscience Methods.

[27]  Henrik Jeldtoft Jensen,et al.  Self-Organized Criticality , 1998 .

[28]  Tang,et al.  Self-Organized Criticality: An Explanation of 1/f Noise , 2011 .

[29]  Wim L. C. Rutten,et al.  Long-term characterization of firing dynamics of spontaneous bursts in cultured neural networks , 2004, IEEE Transactions on Biomedical Engineering.

[30]  Amir Ayali,et al.  Growth morphology of two-dimensional insect neural networks , 2002, Neurocomputing.

[31]  M. Teich,et al.  Fractal character of the neural spike train in the visual system of the cat. , 1997, Journal of the Optical Society of America. A, Optics, image science, and vision.

[32]  T.B. DeMarse,et al.  MeaBench: A toolset for multi-electrode data acquisition and on-line analysis , 2005, Conference Proceedings. 2nd International IEEE EMBS Conference on Neural Engineering, 2005..

[33]  H. Robinson,et al.  The mechanisms of generation and propagation of synchronized bursting in developing networks of cortical neurons , 1995, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[34]  T. Murphy,et al.  Spontaneous synchronous synaptic calcium transients in cultured cortical neurons , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[35]  A. Habets,et al.  Spontaneous neuronal firing patterns in fetal rat cortical networks during development in vitro: a quantitative analysis , 2004, Experimental Brain Research.

[36]  O. Kinouchi,et al.  Optimal dynamical range of excitable networks at criticality , 2006, q-bio/0601037.

[37]  H. Robinson,et al.  Strengthening of synchronized activity by tetanic stimulation in cortical cultures: application of planar electrode arrays , 1998, IEEE Transactions on Biomedical Engineering.

[38]  G. Gross,et al.  Multielectrode analysis of coordinated, multisite, rhythmic bursting in cultured CNS monolayer networks , 1986, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[39]  Y Shapira,et al.  Observations and modeling of synchronized bursting in two-dimensional neural networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[40]  R. Segev,et al.  Long term behavior of lithographically prepared in vitro neuronal networks. , 2002, Physical review letters.

[41]  John M. Beggs,et al.  Neuronal Avalanches in Neocortical Circuits , 2003, The Journal of Neuroscience.

[42]  L. L. Bologna,et al.  Self-organization and neuronal avalanches in networks of dissociated cortical neurons , 2008, Neuroscience.

[43]  Patrick Flandrin,et al.  On the spectrum of fractional Brownian motions , 1989, IEEE Trans. Inf. Theory.

[44]  J. H. Lucas,et al.  Contributions of sodium and chloride to ultrastructural damage after dendrotomy , 2004, Experimental Brain Research.