Self-Organized Maps on Continuous Bump Attractors

Mathematical Biology & Bioinformatics. 2013;8(1):234-247.

doi: 10.17537/2013.8.234.

1. Dunin-Barkowski W. Data formats in multi-neuronal systems and brain reverse engineering. Invited talk, Conference Biologically Inspired Cognitive Architecture 2011. http://2045.ru/pdf/ARLINGTON20111106wldb.pdf (accessed 10 April 2013).
2. Kass JH. Topographic Maps are Fundamental to Sensory Processing. Brain Research Bulletin. 1997;44(2):107-112. doi: 10.1016/S0361-9230(97)00094-4
3. Kohonen T. Self-Organized Formation of Topologically Correct Feature Maps. Biological Cybernetics. 1982;43(1):59-69. doi: 10.1007/BF00337288
4. Dunin-Barkowski W, Osovets N. Hebb-Hopfield neural networks based on one-dimentional sets of neuron states. Neural Processing Letters. 1995;2(5):28-31. doi: 10.1007/BF02332163
5. Knierim JJ, Zhang K. Attractor dynamics of spatially correlated neural activity in the limbic system. Annu. Rev. Neurosci. 2012;35:267-285. doi: 10.1146/annurev-neuro-062111-150351
6. McCulloch WS, Pitts W. A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 1943;5:115-133. doi: 10.1007/BF02478259
7. Amari SI. Dynamics of pattern formation in lateral-inhibition type neural fields. Bio. Cyber. 1977;27:77-87. doi: 10.1007/BF00337259
8. Candia V, Rosset-Llobet J, Elbert T, Pascual-Leone A. Changing the brain through therapy for musicians' hand dystonia. Ann N Y Acad Sci. 2005;1060:335-342. doi: 10.1196/annals.1360.028
9. Zhang K. Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: A theory. Journal of Neuroscience. 1996;16:2112-2126.
10. Tsodyks M. Attractor neural network models of spatial maps in hippocampus. Hippocampus. 1999;9(4):481-489. doi: 10.1002/(SICI)1098-1063(1999)9:4<481::AID-HIPO14>3.0.CO;2-S
11. Stringer SM, Rolls ET, Trappenberg TP, de Araujo IET. Self-organizing continuous attractor networks and path integration: two-dimentional models of place cells. Network: Comput. Neural Syst. 2002;13:429-446. doi: 10.1088/0954-898X/13/4/301