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Coombes, Stephen and Timofeeva, Yulia. (2010) Special issue: mathematical neuroscience. Physica D: Nonlinear Phenomena, Vol.239 (No.9). pp. 475-476. ISSN 0167-2789
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Official URL: http://dx.doi.org/10.1016/j.physd.2010.01.003
| Item Type: | Journal Article |
|---|---|
| Subjects: | R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Computer Science |
| Library of Congress Subject Headings (LCSH): | Neurosciences -- Data processing, Nonlinear systems, Action potentials (Electrophysiology), Differential equations |
| Journal or Publication Title: | Physica D: Nonlinear Phenomena |
| Publisher: | Elsevier BV |
| ISSN: | 0167-2789 |
| Date: | 1 May 2010 |
| Volume: | Vol.239 |
| Number: | No.9 |
| Page Range: | pp. 475-476 |
| Identification Number: | 10.1016/j.physd.2010.01.003 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
| Description: | Editorial essay. |
| References: | [1] S. Coombes, Mathematical neuroscience, J. Math. Biol. 54 (2007) 305–307. [2] P.C. Bresslo , J.D. Cowan, M. Golubitsky, P.J. Thomas, M. Wiener, Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex, Phil. Trans. R. Soc. B 40 (2001) 299–330. [3] S. Coombes, M.R. Owen, Exotic dynamics in a firing rate model of neural tissue with threshold accommodation, AMS Contemporary Mathematics, “Fluids and Waves: Recent Trends in Applied Analysis” 440 (2007) 123–144. [4] G.B. Ermentrout, D. Terman, Foundations of Mathematical Neuroscience, Springer, 2010. [5] S. Coombes, P.C. Bresslo (Eds.), Bursting: The Genesis of Rhythm in the Nervous System, World Scientific, 2005. [6] F.C. Hoppensteadt, E.M. Izhikevich, Weakly Connected Neural Networks, Springer, 1997. [7] C.Koch, J.L. Davis (Eds.), Large-Scale Neuronal Theories of the Brain, MIT Press, 1994. [8] S. Coombes, Large-scale neural dynamics: Simple and complex, NeuroImage, 2010 (in press). [9] G.B. Ermentrout, Neural nets as spatio-temporal pattern forming systems, Rep. Prog. Phys. 61 (1998) 353–430. [10] G. Stepan, Delay e ects in brain dynamics, Phil. Trans. R. Soc. B 367 (2009) 1059–1062. [11] C. Laing, G.J. Lord (Eds.), Stochastic Methods in Neuroscience, Oxford University Press, 2010. [12] S. Coombes, M.R. Owen, Evans functions for integral neural field equations with Heaviside firing rate function, SIAM J. Appl. Dyn. Syst. 34 (2004) 574–600. [13] M.I. Rabinovich, P. Varona, A.I. Selverston, H.D.I. Abarbanel, Dynamical principles in neuroscience, Rev. Modern Phys. 78 (2006) 1213–1265. [14] M. Brøns, T.J. Kaper, H.G. Rotstein, Introduction to focus issue: Mixed mode oscillations: Experiment, computation, and analysis, Chaos 18(1-4) (2008) 015101. [15] N.A. Venkov, S. Coombes, P.C. Matthews, Dynamic instabilities in scalar neural field equations with space-dependent delays, Physica D 232 (2007) 1–15. [16] A.-I. Amari, H. Nagaoka, Methods of Information Geometry, Oxford University Press, 2000. [17] D. Mortimer, P. Dayan, K. Burrage, G.J. Goodhill, Optimizing chemotaxis by measuring unbound-bound transitions, Physica D 239(9) (2010) 477–484. [18] J. Nowacki, S. Mazlana, H.M. Osinga, K. Tsaneva-Atanasova, The role of largeconductance Calcium-activated K+ (BK) channels in shaping bursting oscillations of a somatotroph cell model, Physica D 239(9) (2010) 485–493. [19] Y. Timofeeva, Travelling waves in a model of quasi-active dendrites with active spines, Physica D 239(9) (2010) 494–503. [20] R. Curtu, Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network, Physica D 239(9) (2010) 504–514. [21] S. Ahn, B.H.Smith, A.Borisyuk, D.Terman, Analyzing neuronal networks using discrete-time dynamics, Physica D 239(9) (2010) 515–528. [22] P. Ashwin, A. Lavric, A low-dimensional model of binocular rivalry using winnerless competition, Physica D 239(9) (2010) 529–536. [23] A.J. Elvin, C.R. Laing, R.I. McLachlan, M.G. Roberts, Exploiting the Hamiltonian structure of a neural field model, Physica D 239(9) (2010) 537–546. [24] Z.P. Kilpatrick, P.C. Bresslo , E ects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network, Physica D 239(9) (2010) 547– 560. [25] G. Faye, O. Faugeras, Some theoretical and numerical results for delayed neural field equations, Physica D 239(9) (2010) 561–578. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/3323 |
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