title: Retinocollicular mapping explained?
abstract: We review and comment on the recent model of Grimbert and Cang of the development of topographically ordered maps from the retina to the superior colliculus. This model posits a phase in which arbors are created in zones permitted by Eph and ephrin signaling, followed by a phase in which activity-dependent synaptic plasticity refines the map. We show that it is not possible to generate the arborization probability functions used in the simulations of Grimbert and Cang using gradients of Ephs and ephrins and the interaction mechanism that Grimbert and Cang propose in their results. Furthermore, the arborization probabilities we do generate are far less sharp than we imagine truly “permissive” ones would be. It remains to be seen if maps can be generated from the nonpermissive arborization probabilities generated from gradients.
authors: Institute for Adaptive and Neural Computation, School of Informatics, University of Edinburgh, 10 Crichton Street, Edinburgh EH8 9AB, UK.
authors: David C
authors: DC
authors: Sterratt
authors: Cambridge Computational Biology Institute, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA, UK.
authors: J J Johannes
authors: JJJ
authors: Hjorth
mesh_terms: D000818:Animals; D001369:Axons / Q000502:physiology*; D001931:Brain Mapping; D008959:Models, Neurological; D009474:Neurons / Q000166:cytology*; D012160:Retina; D013477:Superior Colliculi
references: Proc R Soc Lond B Biol Sci. 1975 Jun 20;190(1098):77-98
references: 237289
references: Cold Spring Harb Perspect Biol. 2010 Nov;2(11):a001768
references: 20880989
references: Cell. 2000 Jul 7;102(1):77-88
references: 10929715
references: Neuron. 2005 Jul 7;47(1):57-69
references: 15996548
references: Nature. 2004 Oct 14;431(7010):847-53
references: 15483613
references: Prog Neurobiol. 2005 Jul;76(4):213-35
references: 16280194
references: J Neurobiol. 2004 Apr;59(1):95-113
references: 15007830
references: J Neurosci. 1981 Dec;1(12):1369-87
references: 7320751
references: J Neurobiol. 1990 Jan;21(1):51-72
references: 2181067
references: Development. 2006 Jul;133(14):2705-17
references: 16774998
references: Proc R Soc Lond B Biol Sci. 1976 Nov 12;194(1117):431-45
references: 12510
references: Proc Natl Acad Sci U S A. 2011 Nov 22;108(47):19060-5
references: 22065784
references: J Neurosci. 2012 Jul 11;32(28):9755-68
references: 22787061
references: Biol Cybern. 2011 Feb;104(1-2):9-29
references: 21340602
references: BMC Neurosci. 2010 Dec 29;11:155
references: 21190559
references: Annu Rev Neurosci. 2013 Jul 8;36:51-77
references: 23642132
references: PLoS Comput Biol. 2009 Dec;5(12):e1000600
references: 20011124
references: Network. 2005 Mar;16(1):5-34
references: 16353341
references: Neuron. 2008 Sep 11;59(5):746-58
references: 18786358
references: Proc R Soc Lond B Biol Sci. 1983 Apr 22;218(1210):77-93
references: 6135213