A stochastic model for retinocollicular map development

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dc.creatorKoulakov, Alexei A.
dc.creatorTsigankov, Dmitry N.
dc.date2003-07-22
dc.date.accessioned2026-07-07T05:49:43Z
dc.date.available2026-07-07T05:49:43Z
dc.descriptionWe present a theoretical model for retinocollicular map development, which can account for intriguing behaviors observed in gain-of-function experiments in knock-in mice by Brown et al., including bifurcation in heterozygous Isl2/EphA3 knock-ins. The model is based on known chemical labels, axonal repulsion/competition, stochasticity and uses Markov chain description. Our model suggests that the map in heterozygotes is single-valued in the temporal region of retina due to reduced gradient of ephrin in the corresponding region of SC. The remaining map is double-valued since the gradient of ephrin is high there. We predict therefore that if gradient of ephrin is reduced by a genetic manipulation, the single-valued region of the map should occupy a larger portion of temporal retina, i.e. the point of transition between single- and doulble-valued maps should move to a more nasal position in Isl2-EphA3 heterozygotes. We also discuss the importance of inhomogeneous EphA gradient and mapping in Isl2/EphB knock-ins.
dc.description19 pages, 11 color figures
dc.identifierhttps://arxiv.org/abs/physics/0307107
dc.identifierhttp://arxiv.org/abs/physics/0307107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85490
dc.subjectBiological Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantitative Biology
dc.titleA stochastic model for retinocollicular map development
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