neuronal connectivity inference from spike trains using an empirical probabilistic causality measure

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BioMed Central Page 1 of 1 (page number not for citation purposes) BMC Neuroscience Open Access Poster presentation Neuronal connectivity inference from spike trains using an empirical probabilistic causality measure Paulo Aguiar* 1,2 and Miguel Rodrigues 3 Address: 1 Centro de Matemática da Universidade do Porto, 4169-007 Porto, Portugal, 2 Instituto de Biologia Molecular e Celular, 4150-180 Porto, Portugal and 3 Computer Science Dept., University of Porto, 4169-007 Porto, Portugal Email: Paulo Aguiar* - [email protected] * Corresponding author To fully understand the computational properties of a neural network, it is crucial to know the network's connec- tivity. Unfortunately, connectivity inference using easily accessible data such as extracellular spike recordings is a difficult task. The difficulty arises mainly from problems related with causality, polysynaptic (indirect) connectiv- ity, inhibition and variable time delays, just to name a few. Different methods have been proposed for connectiv- ity inference using, for example, mutual information [1,2], partial directed coherence [3], direct neuronal dynamics parameters fitting [4] or parameter estimation using Bayesian approaches [5]. However, we argue that most of these methods are too complex to implement, hard to apply to spike times series or simply do not pro- vide appropriate estimations using benchmark synthetic data. Here we present an alternative method that takes directly the series of spike times from multiple sources and pro- duces a probabilistic connectivity matrix, wherein each entry provides a confidence level for the existence of a connection (excitatory or inhibitory) for a particular source/target pair. Instead of using measures which are directly or indirectly related to correlations, our method introduces an empirical measure of causality that works on top of spike time probability distributions obtained from the spike times series. This approach allows us to cope with variable time delays, causality, inhibitory con- nections and provides an estimate for the degree of con- nection (monosynaptic, disynaptic, etc.). Our method includes heuristics but only one parameter needs to be set: the causality time window. This value defines the maxi- mum time delay between two events that are said to be related and is used to constrain the causality search space. Our method has been tested using synthetic data from simulations where the neuronal connectivity is known a priori. Two types of neuron models were tested in different network simulations: single-compartment Hodgkin-Hux- ley model with static synapses and Poisson spiking units modulated by stochastic synapses. Acknowledgements The first author was supported by the Centro de Matemática da Universi- dade do Porto, financed by FCT through the programs POCTI and POSI, with Portuguese and European Community structural funds. References 1. Shiono S, Yamada S, Nakashima M, Matsumoto K: Information the- oretic analysis of connection structure from spike trains. In Advances in Neural information Processing Systems 5 1992 Edited by: Hanson SJ, Cowan JD, Giles CL. Morgan Kaufmann Publishers, San Fran- cisco, CA; 1993:515-522. 2. Bettencourt LM, Stephens GJ, Ham MI, Gross GW: The functional structure of cortical neuronal networks grown in vitro. Phys Rev E 2007, 75:021915. 3. Takahashi DY, Baccalá LA, Sameshima K: Connectivity inference between neural structures via partial directed coherence. Journal of Applied Statistics 2007, 34:1259-1273. 4. Makarov VA, Panetsos F, De Feo O: A method for determining neural connectivity and inferring the underlying network dynamics using extracellular spike recordings. J Neurosci Meth- ods 2005, 144:265-279. 5. Rajaram S: Poisson networks: a model for structured point processes. AI and Statistics 2005, 10:. from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009 Berlin, Germany. 18–23 July 2009 Published: 13 July 2009 BMC Neuroscience 2009, 10(Suppl 1):P169 doi:10.1186/1471-2202-10-S1-P169 <supplement> <title> <p>Eighteenth Annual Computational Neuroscience Meeting: CNS*2009</p> </title> <editor>Don H Johnson</editor> <note>Meeting abstracts – A single PDF containing all abstracts in this Supplement is available <a href="http://www.biomedcentral.com/content/files/pdf/1471-2202-10-S1-full.pdf">here</a>.</note> <url>http://www.biomedcentral.com/content/pdf/1471-2202-10-S1-info.pdf</url> </supplement> This abstract is available from: http://www.biomedcentral.com/1471-2202/10/S1/P169 © 2009 Aguiar and Rodrigues; licensee BioMed Central Ltd.

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Page 1: Neuronal connectivity inference from spike trains using an empirical probabilistic causality measure

BioMed Central

Page 1 of 1(page number not for citation purposes)

BMC Neuroscience

Open AccessPoster presentationNeuronal connectivity inference from spike trains using an empirical probabilistic causality measurePaulo Aguiar*1,2 and Miguel Rodrigues3

Address: 1Centro de Matemática da Universidade do Porto, 4169-007 Porto, Portugal, 2Instituto de Biologia Molecular e Celular, 4150-180 Porto, Portugal and 3Computer Science Dept., University of Porto, 4169-007 Porto, Portugal

Email: Paulo Aguiar* - [email protected]

* Corresponding author

To fully understand the computational properties of aneural network, it is crucial to know the network's connec-tivity. Unfortunately, connectivity inference using easilyaccessible data such as extracellular spike recordings is adifficult task. The difficulty arises mainly from problemsrelated with causality, polysynaptic (indirect) connectiv-ity, inhibition and variable time delays, just to name afew. Different methods have been proposed for connectiv-ity inference using, for example, mutual information[1,2], partial directed coherence [3], direct neuronaldynamics parameters fitting [4] or parameter estimationusing Bayesian approaches [5]. However, we argue thatmost of these methods are too complex to implement,hard to apply to spike times series or simply do not pro-vide appropriate estimations using benchmark syntheticdata.

Here we present an alternative method that takes directlythe series of spike times from multiple sources and pro-duces a probabilistic connectivity matrix, wherein eachentry provides a confidence level for the existence of aconnection (excitatory or inhibitory) for a particularsource/target pair. Instead of using measures which aredirectly or indirectly related to correlations, our methodintroduces an empirical measure of causality that workson top of spike time probability distributions obtainedfrom the spike times series. This approach allows us tocope with variable time delays, causality, inhibitory con-nections and provides an estimate for the degree of con-nection (monosynaptic, disynaptic, etc.). Our method

includes heuristics but only one parameter needs to be set:the causality time window. This value defines the maxi-mum time delay between two events that are said to berelated and is used to constrain the causality search space.

Our method has been tested using synthetic data fromsimulations where the neuronal connectivity is known apriori. Two types of neuron models were tested in differentnetwork simulations: single-compartment Hodgkin-Hux-ley model with static synapses and Poisson spiking unitsmodulated by stochastic synapses.

AcknowledgementsThe first author was supported by the Centro de Matemática da Universi-dade do Porto, financed by FCT through the programs POCTI and POSI, with Portuguese and European Community structural funds.

References1. Shiono S, Yamada S, Nakashima M, Matsumoto K: Information the-

oretic analysis of connection structure from spike trains. InAdvances in Neural information Processing Systems 5 1992 Edited by:Hanson SJ, Cowan JD, Giles CL. Morgan Kaufmann Publishers, San Fran-cisco, CA; 1993:515-522.

2. Bettencourt LM, Stephens GJ, Ham MI, Gross GW: The functionalstructure of cortical neuronal networks grown in vitro. PhysRev E 2007, 75:021915.

3. Takahashi DY, Baccalá LA, Sameshima K: Connectivity inferencebetween neural structures via partial directed coherence.Journal of Applied Statistics 2007, 34:1259-1273.

4. Makarov VA, Panetsos F, De Feo O: A method for determiningneural connectivity and inferring the underlying networkdynamics using extracellular spike recordings. J Neurosci Meth-ods 2005, 144:265-279.

5. Rajaram S: Poisson networks: a model for structured pointprocesses. AI and Statistics 2005, 10:.

from Eighteenth Annual Computational Neuroscience Meeting: CNS*2009Berlin, Germany. 18–23 July 2009

Published: 13 July 2009

BMC Neuroscience 2009, 10(Suppl 1):P169 doi:10.1186/1471-2202-10-S1-P169

<supplement> <title> <p>Eighteenth Annual Computational Neuroscience Meeting: CNS*2009</p> </title> <editor>Don H Johnson</editor> <note>Meeting abstracts – A single PDF containing all abstracts in this Supplement is available <a href="http://www.biomedcentral.com/content/files/pdf/1471-2202-10-S1-full.pdf">here</a>.</note> <url>http://www.biomedcentral.com/content/pdf/1471-2202-10-S1-info.pdf</url> </supplement>

This abstract is available from: http://www.biomedcentral.com/1471-2202/10/S1/P169

© 2009 Aguiar and Rodrigues; licensee BioMed Central Ltd.