Abstract
We present mathematical models that describe individual neural networks of the Central Nervous System. Three cases are examined, varying in each case the values of the refractory period and the synaptic delay of a neuron. In the case where both the refractory period and the synaptic delay are bigger than one, we split the population of neurons into sub-groups with their own distinct synaptic delay. It is shown that the proposed approach describes the neural activity of the network efficiently, especially in the case mentioned above. Various examples with different network parameters are presented to investigate the network’s behavior.
Chapter PDF
Similar content being viewed by others
References
Amit, D.J.: Modelling Brain Function. Cambridge University Press, Cambridge (1989)
Trappenberg: Fundamentals of Computational Neuroscience. Oxford University Press, Oxford (2002)
Bear, M.F., Connors, B.W., Paradiso, M.A.: Neuroscience: Exploring the Brain, 3rd edn. Lippincott Williams & Wilkins, Baltimore (2007)
Adamopoulos, A.: Introduction to biological neural networks (2007)
Giuliodori, M.J., Zuccolilli, G.: Postsynaptic Potential Summation and Action Potential Initiation: Function Following Form. Advan. Physiol. Edu. 28, 79–80 (2004)
Eeckman, F.H., Bower, J.M. (eds.): Computation and Neural Systems. Kluwer Academic Publishers, Boston (1993)
Bower, J.M.: Modeling the nervous system. Trends Neuroscience 15, 411–412 (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 International Federation for Information Processing
About this paper
Cite this paper
Pagania, DD., Adamopoulos, A., Likothanassis, S.D. (2011). Mathematical Models of Dynamic Behavior of Individual Neural Networks of Central Nervous System. In: Iliadis, L., Jayne, C. (eds) Engineering Applications of Neural Networks. EANN AIAI 2011 2011. IFIP Advances in Information and Communication Technology, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23957-1_48
Download citation
DOI: https://doi.org/10.1007/978-3-642-23957-1_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23956-4
Online ISBN: 978-3-642-23957-1
eBook Packages: Computer ScienceComputer Science (R0)