The establishment and refinement of neural circuits involve both the format
ion of new connections and the elimination of already existing connections.
Elimination of connections occurs, for example, in the development of mono
neural innervation of muscle fibres and in the formation of ocular dominanc
e columns in the visual cortex. The process that leads to the elimination o
f connections is often referred to as axonal or synaptic competition. Altho
ugh the notion of competition is commonly used, the process is not well und
erstood-with respect to, for example, the type of competition, what axons a
nd synapses are competing for, and the role of electrical activity. This ar
ticle reviews the types of competition that have been distinguished and the
models of competition that have been proposed. Models of both the neuromus
cular system and the visual system are described. For each of these models.
the assumptions on which it is based, its mathematical structure, and the
extent to which it is supported by the experimental data are evaluated. Spe
cial attention is given to the different modelling approaches and the role
of electrical activity in competition.