David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Brain and Mind 4 (1):91-105 (2003)
This paper reports on the investigation of the effects of neuronal shape, at both individual cell and network level, on the behavior of neuronal systems. More specifically, two-dimensional biologically realistic neuronal networks are obtained that take explicity into account the position and morphology of neuronal cells, with the respective behavior for associative recall being simulated through a diluted version of Hopfield's model. While a specific probability density function is used for the placement of the cell bodies, images of real neuronal cells (namely alpha and beta ganglion cells from the cat retina) are used to obtain biologically realistic models. Several morphological measures – including fractal dimension, the excluded volume, and integral geometry functionals–are estimated for the considered cells, and their values are correlated with the potential of the network for associative recall, which is quantified in terms of the overlap between distorted version of the trained patterns and their original version. Such an approach allows the quantitative and objective characterization of the relationship between neuronal shape and function, an important issue in neuroscience. The obtained results substantiate interesting relationships between the neural morphology and function as determined by the performance of the network
|Keywords||neuromorphometry neuronal networks Hopfield models|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Luciano Fontoura Costdaa, Marconi Soares Barbosa, Vincent Coupez & Dietrich Stauffer (2003). Morphological Hopfield Networks. Brain and Mind 4 (1):91-105.
H. F. Jelinek, R. M. Cesar & J. J. G. Leandro (2003). Exploring Wavelet Transforms for Morphological Differentiation Between Functionally Different Cat Retinal Ganglion Cells. Brain and Mind 4 (1):67-90.
Jean Pierre Changeux, Philippe Courrège & Antoine Danchin (1973). A Theory of the Epigenesis of Neuronal Networks by Selective Stabilization of Synapses. Proceedings of the National Academy of Sciences Usa 70 (10):2974-8.
Hedi Amor, Fabien Corblin, Eric Fanchon, Adrien Elena & Laurent Trilling (2013). Formal Methods for Hopfield-Like Networks. Acta Biotheoretica 61 (1):21-39.
I. C. Baianu, R. Brown, G. Georgescu & J. F. Glazebrook (2006). Complex Non-Linear Biodynamics in Categories, Higher Dimensional Algebra and Łukasiewicz–Moisil Topos: Transformations of Neuronal, Genetic and Neoplastic Networks. [REVIEW] Axiomathes 16 (1-2):65-122.
D. Manoussaki, S. R. Lubkin, R. B. Vemon & J. D. Murray (1996). A Mechanical Model for the Formation of Vascular Networks in Vitro. Acta Biotheoretica 44 (3-4):271-282.
T. Elliott & N. R. Shadbolt (1997). Neurotrophic Factors, Neuronal Selectionism, and Neuronal Proliferation. Behavioral and Brain Sciences 20 (4):561-562.
Andrew A. Fingelkurts & Alexander A. Fingelkurts (2004). Making Complexity Simpler: Multivariability and Metastability in the Brain. International Journal of Neuroscience 114 (7):843 - 862.
Reinhard Blutner (2004). Nonmonotonic Inferences and Neural Networks. Synthese 142 (2):143 - 174.
John G. Taylor (2001). What Do Neuronal Network Models of the Mind Indicate About Animal Consciousness? Animal Welfare Supplement 10:63- 75.
Erhard Bieberich, In Search of a Neuronal Substrate of the Human Mind: New Concepts From "Topological Neurochemistry".
B. Doyon, B. Cessac, M. Quoy & M. Samuelides (1994). On Bifurcations and Chaos in Random Neural Networks. Acta Biotheoretica 42 (2-3):215-225.
Donald Favareau (2002). Beyond Self and Other. Sign Systems Studies 30 (1):57-99.
Derek Sankey (2007). The Neuronal, Synaptic Self: Having Values and Making Choices. Journal of Moral Education 35 (2):163-178.
Nicolas Rivier, Gudrun Schliecker & Benoît Dubertret (1995). The Stationary State of Epithelia. Acta Biotheoretica 43 (4):403-423.
Added to index2010-08-30
Total downloads2 ( #534,721 of 1,725,822 )
Recent downloads (6 months)1 ( #348,716 of 1,725,822 )
How can I increase my downloads?