Downloads
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Download the entire report in .pdf format here |
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Download the project poster in .pdf format (large file; may take several minutes) |
MATLAB Files
You need MATLAB to run these files. To check input variables and for a description of the file type "help filename" in MATLAB, where filename is the name of the file.
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A single neuron, allows the variation of input current. |
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Two coupled neurons. Input current and coupling strength. |
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Neurons in a line. Number of neurons, input current and coupling strength can be varied. |
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Neurons in a ring. Number of neurons, input current and coupling strength can be varied. |
Further Reading
[1] A. L. Hodgkin and A. F. Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J Physiol. 117(4) 500544, 1952
[2] H. R. Wilson, Spikes Decisions and Actions: Dynamical Foundations of Neuroscience, Oxford University Press, 1999
[3] M. A. Rogawski, The A-current: How Ubiquitous a Feature of Excitable Cells is it?, TINS 8 214-219, 1985
[4] J. Rinzel, Excitation Dyanmics: Insights from Simplified Membrane Models, Fed. Proc. 44 2944-2946 1985
[5] A. Snead, Basic mechanisms of generalized absence seizures, Neurol 37 146, 1995
[6] J. L. Hindmarsh and R. M. Rose, Nature (London) 296 162, 1982
[7] J. L. Hindmarsh and R. M. Rose, Proc. R. Soc. London, Ser. B 221 87, 1984
[8] M. Steriade and R. R. Llinas, The Functional states of the Thalamus and the Associated Neuronal Interplay, Physiol. Rev. 68 649, 1988
[9] S. M. Sherman and C. Kock, The control of retinogeniculate transmission in the mammalian lateral geniculate nucleus, Exp. Brain Res 63 1, 1986
[10] M. Dhamala, V. K. Jirsa, and M. Ding, Transitions to Synchrony in Coupled Bursting Neurons. Phys. Rev. Lett. 74 028101-1, 2004.
[11] M. Breakspear, J. R. Terry, K. J. Friston, Modulation of Excitatory Synaptic Coupling Facilities Synchronization and Complex Dynamics in a Biophys- ical Model of Neuronal Dynamics. Comput. Neural Syst. 14 703-732, 2003.
[12] R. Erichsen Jr., M.S. Mainieri and L.G. Brunnet, Periodicity and chaos in electrically coupled Hindmarsh-Rose neurons. Phys. Rev. Lett. 74 061906, 2006.
[13] Yu Jiang, Comment on "Transitions to Synchrony in Coupled Hindmarsh-Rose Neurons". Phys. Rev. Lett. 93 229801, 2004.
[14] M. Dhamala, V. K. Jirsa, and M. Ding Reply to [13]. Phys. Rev. Lett. 93 229801, 2006.
[15] L. M. Percora and T. L. Carroll, Master Stability Functions for Syncronized Coupled Systems Phys. Rev. Lett. 80 2109, 1998
[16] P. Ashwin, J. R. Terry, K. S. Thornburg and R. Roy, Blowout Bifurcation in a System of Coupled Chaotic Lasers Phys. Rev. Lett. 58 6, 1998
[17] E. Ott and J. C. Sommerer, Blowout bifurcations: the occurence of riddled basins and on-off intermittency Phys. Rev. Lett. 188 39-47, 1994
[18] T. Kanamaru, Blowout bifurcation and on-off intermittency in pulse neural networks with multiple modules, International Journal of Bifurcation and Chaos 16 11, 2006