A stochastic model for retinocollicular map development

BMC Neuroscience
Alexei A Koulakov, Dmitry Tsigankov

Abstract

We examine results of gain-of-function experiments on retinocollicular maps in knock-in mice [Brown et al. (2000) Cell 102:77]. In wild-type mice the temporal-nasal axis of retina is mapped to the rostral-caudal axis of superior colliculus. The established map is single-valued, which implies that each point in retina maps to a unique termination zone in superior colliculus. In homozygous Isl2/EphA3 knock-in mice the map is double-valued, which means that each point on retina maps to two termination zones in superior colliculus. This is because about 50 percent of cells in retina express Isl2, and two types of projections, wild-type and Isl2/EphA3 positive, form two branches of the map. In heterozygous Isl2/EphA3 knock-ins the map is intermediate between the homozygous and wild-type: it is single-valued in temporal and double-valued in the nasal parts of retina. In this study we address possible reasons for such a bifurcation of the map. We study the map formation using stochastic model based on Markov chains. In our model the map undergoes a series of reconstructions with probabilities dependent upon a set of chemical cues. Our model suggests that the map in heterozygotes is single-valued in temporal region of retina for two re...Continue Reading

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Citations

Jul 20, 2006·Experimental Brain Research·Sherralee S LukehurstJennifer Rodger
Feb 23, 2011·Biological cybernetics·Hugh D Simpson, Geoffrey J Goodhill
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Dec 31, 2010·BMC Neuroscience·Dmitry Tsigankov, Alexei A Koulakov
Jul 15, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Nicholas BevinsMichaël Reber
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Apr 6, 2018·Frontiers in Cellular Neuroscience·Elise Savier, Michael Reber
Apr 26, 2019·Proceedings of the National Academy of Sciences of the United States of America·Sergey A ShuvaevAlexei A Koulakov

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