Aqueous solutions of surfactants such as CTAC/NaSal and CTAB/KBr, cert
ain dye molecules, S-8 rings in plastic sulphur or the alpha form of p
olymethylstyrene are thought to self-assemble reversibly into long, li
near flexible chains. The fascinating properties of these systems aris
e from their propensity to randomly destroy or create connections betw
een chains, a labile character which allows for exchange of material f
rom chain to chain. As a consequence they exhibit a unique dynamic beh
aviour, which reflects both the kinetics of exchange of material from
chain to chain and the dynamic properties of polymers. In this paper f
our types of reaction that have been proposed as candidates for descri
bing the kinetics in these systems are reviewed. The implications of t
hese mechanisms on the viscoelastic behaviour of the living polymer ma
terials are also discussed.