Recent experimental studies of the coil-to-globule transition of polymer ch
ains in the presence of adsorbing anionic surfactants have shown a variety
of novel transition curves. In this paper we theoretically model this syste
m using a modified mean-field model. We show that as the surfactant concent
ration is increased, the transition becomes a strong first-order transition
and occurs in the worse than theta regime. This is due to the adsorbed sur
factants abruptly moving off the chain. We also implement a nonconstant den
sity model in an attempt; to understand the gradual collapse of these chain
s before the first-order transition.