Activity-dependent competition between afferents in the primary visual
cortex of many mammals is a quintessential feature of neuronal develo
pment. From both experimental and theoretical perspectives, understand
ing the mechanisms underlying competition is a significant challenge.
Recent experimental work suggests that geniculocortical afferents migh
t compete for retrograde neurotrophic factors. We show that a mathemat
ically well-characterized model of retrograde neurotrophic interaction
s, in which the afferent uptake of neurotrophic factors is activity-de
pendent and in which the average level of uptake determines the comple
xity of the axonal arbors of afferents, permits the anatomical segrega
tion of geniculocortical afferents into ocular dominance columns. The
model induces segregation provided that the levels of neurotrophic fac
tors available either by activity-independent release from cortical ce
lls or by exogenous cortical infusion are not too high; otherwise segr
egation breaks down. We show that the model exhibits changes in ocular
dominance column periodicity in response to changes in interocular im
age correlations and that the model predicts that changes in intraocul
ar image correlations should also affect columnar periodicity.