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2016 | OriginalPaper | Buchkapitel

The Approach to Modeling of Synchronized Bursting in Neuronal Culture Using a Mathematical Model of a Neuron with Autoregulation Mechanism

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Abstract

The paper presents mathematical model of spike activity of a neuronal culture which exhibits bursting behavior—synchronized spontaneous packs of population activity. Neuron in the developed neural network model is a modification of Leaky Integrate-and-Fire neuron. The neuron model acquires a new quality due to the introduction of two new neuron state variables—“resource” and “strength”. The new learning mechanism for synaptic weights is proposed. It assumes dependence of weight corrections from the intensity of spike activity of presynaptic neurons for a previous time interval. The model experiment shows the ability of the neural network based on the proposed model of neurons, to produce bursting activity. Setting of neuron model parameters makes it possible to obtain bursts with various characteristics. The results of model simulation are presented. The prospects for applying the model to study the mechanisms of learning in neuronal cultures in vitro are discussed.

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Literatur
1.
Zurück zum Zitat Anokhin, K.V., Burtsev, M.S., Ilyin, V.A., Kiselev, I.I., Kukin, K.A., Lakhman, K.V., Paraskevov, A.V., Rybka, R.B., Sboev, A.G., Tverdokhlebov, N.V.: A review of computational models of neuronal cultures in vitro. Mat. Biolog. Bioinform. 7(2), 372–397 (2012)CrossRef Anokhin, K.V., Burtsev, M.S., Ilyin, V.A., Kiselev, I.I., Kukin, K.A., Lakhman, K.V., Paraskevov, A.V., Rybka, R.B., Sboev, A.G., Tverdokhlebov, N.V.: A review of computational models of neuronal cultures in vitro. Mat. Biolog. Bioinform. 7(2), 372–397 (2012)CrossRef
2.
Zurück zum Zitat Wagenaar, D.A., Pine, J., Potter, S.M.: An Extremely Rich Repertoire of Bursting Patterns during the Development of Cortical Cultures. BMC Neurosci. 7(1), 11 (2006)CrossRef Wagenaar, D.A., Pine, J., Potter, S.M.: An Extremely Rich Repertoire of Bursting Patterns during the Development of Cortical Cultures. BMC Neurosci. 7(1), 11 (2006)CrossRef
3.
Zurück zum Zitat Raichman, N., Ben-Jacob, E.: Identifying repeating motifs in the activation of synchronized bursts in cultured neuronal networks. J. Neurosci. Methods 170(1), 96–110 (2008)CrossRef Raichman, N., Ben-Jacob, E.: Identifying repeating motifs in the activation of synchronized bursts in cultured neuronal networks. J. Neurosci. Methods 170(1), 96–110 (2008)CrossRef
4.
Zurück zum Zitat Kiselev, M.: Self-organized short-term memory mechanism in spiking neural network. In: 10th International Conference ICANNGA 2011. Part I, pp. 120–129. Springer (2011) Kiselev, M.: Self-organized short-term memory mechanism in spiking neural network. In: 10th International Conference ICANNGA 2011. Part I, pp. 120–129. Springer (2011)
5.
Zurück zum Zitat Bi, G., Poo, M.: Synaptic modification by correlated activity: Hebb’s postulate revisited. Annu. Rev. Neurosci. 24(1), 139–166 (2001)CrossRef Bi, G., Poo, M.: Synaptic modification by correlated activity: Hebb’s postulate revisited. Annu. Rev. Neurosci. 24(1), 139–166 (2001)CrossRef
6.
Zurück zum Zitat Persi, E., Horn, D., Volman, V., Segev, R., Ben-Jacob, E.: Modeling of synchronized bursting events: the importance of inhomogeneity. Neural Comput. 16(12), 2577–2595 (2004)CrossRefMATH Persi, E., Horn, D., Volman, V., Segev, R., Ben-Jacob, E.: Modeling of synchronized bursting events: the importance of inhomogeneity. Neural Comput. 16(12), 2577–2595 (2004)CrossRefMATH
Metadaten
Titel
The Approach to Modeling of Synchronized Bursting in Neuronal Culture Using a Mathematical Model of a Neuron with Autoregulation Mechanism
verfasst von
Dmitry Volkov
Olga Mishulina
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-32554-5_33