SIMULATION OF LARGE SCALE CORTICAL NETWORKS BY INDIVIDUAL NEURON DYNAMICS
Abstract
Understanding the functional dynamics of the mammalian brain is one of the central aims of modern neuroscience. Mathematical modeling and computational simulations of neural networks can help in this quest. In recent publications, a multilevel model has been presented to simulate the resting-state dynamics of the cortico-cortical connectivity of the mammalian brain. In the present work we investigate how much of the dynamical behavior of the multilevel model can be reproduced by a strongly simplified model. We find that replacing each cortical area by a single Rulkov map recreates the patterns of dynamical correlation of the multilevel model, while the outcome of other models and setups mainly depends on the local network properties, e.g. the input degree of each vertex. In general, we find that a simple simulation whose dynamics depends on the global topology of the whole network is far from trivial. A systematic analysis of different dynamical models and coupling setups is required.
References
- Phys. Rep. 469, 93 (2008), DOI: 10.1016/j.physrep.2008.09.002. Crossref, ISI, Google Scholar
-
P. Beim Graben (eds.) , Lectures in Supercomputational Neuroscience ( Springer-Verlag , Berlin , 2008 ) . Crossref, Google Scholar - Phys. Rep. 424, 175 (2006), DOI: 10.1016/j.physrep.2005.10.009. Crossref, ISI, Google Scholar
- Phil. Trans. R. Soc. Lond. B 355, 91 (2000), DOI: 10.1098/rstb.2000.0551. Crossref, ISI, Google Scholar
- J. Physiol. 117, 500 (1952). Crossref, ISI, Google Scholar
- Proc. Nat. Acad. Sci. 104, 10240 (2007), DOI: 10.1073/pnas.0701519104. Crossref, ISI, Google Scholar
- Phys. Rev. Lett. 93, 134101 (2004), DOI: 10.1103/PhysRevLett.93.134101. Crossref, Google Scholar
- IEEE Trans. Neural Nets 14, 1569 (2003), DOI: 10.1109/TNN.2003.820440. Crossref, ISI, Google Scholar
- IEEE Trans. Neural Nets 15, 1063 (2004), DOI: 10.1109/TNN.2004.832719. Crossref, ISI, Google Scholar
-
E. M. Izhikevich , Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting ( MIT Press , Cambridge, MA , 2007 ) . Google Scholar - Proc. Nat. Acad. Sci. 105, 3593 (2008), DOI: 10.1073/pnas.0712231105. Crossref, ISI, Google Scholar
- Eur. J. Neurosc. 25, 3185 (2007), DOI: 10.1111/j.1460-9568.2007.05574.x. Crossref, ISI, Google Scholar
- Nat. Rev. Neurosci. 7, 153 (2006), DOI: 10.1038/nrn1848. Crossref, ISI, Google Scholar
- Phys. Rev. E 65, 041922 (2002), DOI: 10.1103/PhysRevE.65.041922. Crossref, Google Scholar
- Curr. Biol. 3, 191 (1993), DOI: 10.1016/0960-9822(93)90331-H. Crossref, ISI, Google Scholar
- J. Neurosci. 15, 1463 (1995). Crossref, ISI, Google Scholar
- PLoS Comput. Biol. 1, 0245 (2005), DOI: 10.1371/journal.pcbi.0010042. Google Scholar
- Nature 393, 440 (1998), DOI: 10.1038/30918. Crossref, ISI, Google Scholar
- Biol. Cybern. 83, 367 (2000), DOI: 10.1007/s004220000160. Crossref, ISI, Google Scholar
-
G. Zamora-López , C. S. Zhou and J. Kurths , Lectures in Supercomputational Neuroscience ( Springer-Verlag , Berlin , 2008 ) . Google Scholar - Physica D 224, 202 (2006). Crossref, Google Scholar
- PRAMANA J. Phys. 70, 1087 (2008). Crossref, Google Scholar
- Phys. Rev. Lett. 97, 238103 (2006), DOI: 10.1103/PhysRevLett.97.238103. Crossref, ISI, Google Scholar
- New J. Phys. 9, 178 (2007), DOI: 10.1088/1367-2630/9/6/178. Crossref, ISI, Google Scholar
| Remember to check out the Most Cited Articles! |
|---|
|
Check out our Bifurcation & Chaos |
