Many aspects of hyphal extension and branching in fungi are well under
stood at the cellular level and may be linked to the growth kinetics o
f individual hyphae and branching mycelia on solid media and in liquid
culture. Thus, growth of a typical colony on solid medium may be desc
ribed and quantified, using concepts such as the peripheral growth zon
e and hyphal growth unit. These concepts also increase our understandi
ng of growth of dispersed mycelia in liquid culture. 'Atypical' growth
, e.g. sector formation, rhythmic growth, pellet formation are less we
ll understood, but provide a link between vegetative mycelial growth a
nd aggregation of hyphae to form more complex differentiation structur
es. Aggregate formation is frequently associated with alterations in t
he balance between hyphal extension rate and branch production but tem
poral and spatial control of these processes is not well understood. T
his review emphasizes the need for a quantitative approach to studies
on aggregate formation, and discusses the application of mathematical
models describing differentiation and pattern formation.