dorsal/arxiv
View SchemaA stochastic model for retinocollicular map development
| Authors | Alexei A. Koulakov, Dmitry N. Tsigankov |
|---|---|
| Categories | |
| ArXiv ID | physics/0307107 |
| URL | https://arxiv.org/abs/physics/0307107 |
Abstract
We 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.
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"abstract": "We present a theoretical model for retinocollicular map development, which\ncan account for intriguing behaviors observed in gain-of-function experiments\nin knock-in mice by Brown et al., including bifurcation in heterozygous\nIsl2/EphA3 knock-ins. The model is based on known chemical labels, axonal\nrepulsion/competition, stochasticity and uses Markov chain description. Our\nmodel suggests that the map in heterozygotes is single-valued in the temporal\nregion of retina due to reduced gradient of ephrin in the corresponding region\nof SC. The remaining map is double-valued since the gradient of ephrin is high\nthere. We predict therefore that if gradient of ephrin is reduced by a genetic\nmanipulation, the single-valued region of the map should occupy a larger\nportion of temporal retina, i.e. the point of transition between single- and\ndoulble-valued maps should move to a more nasal position in Isl2-EphA3\nheterozygotes. We also discuss the importance of inhomogeneous EphA gradient\nand mapping in Isl2/EphB knock-ins.",
"arxiv_id": "physics/0307107",
"authors": [
"Alexei A. Koulakov",
"Dmitry N. Tsigankov"
],
"categories": [
"physics.bio-ph",
"cond-mat.dis-nn",
"q-bio"
],
"title": "A stochastic model for retinocollicular map development",
"url": "https://arxiv.org/abs/physics/0307107"
},
"schema_id": "dorsal/arxiv",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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