Microtubules are long and stiff polymers that form the cytoskeleton of
eucaryotic cells. They perform a series of tasks, such as determining
the cell shape and providing a network of ''rails'' along which molec
ular motors transport organelles to different parts of the cell. They
are particularly important during the process of cell division, since
they provide the forces by which replicated chromosomes are segregated
into what will be the two daughter cells. Microtubules are formed fro
m a protein called tubulin and undergo a process called dynamic instab
ility. In this paper we study, via numerical simulations of some simpl
ified models, how the interaction between microtubules and the diffusi
on of free tubulin affects their spatial organization. (C) 1998 Elsevi
er Science B.V. All rights reserved.