We investigate theoretically the behavior of proteins as well as other
large macromolecules which are incorporated into amphiphilic monolaye
rs at the air-water interface. We assume the monolayer to be in the co
existence region of the ''main'' transition, where domains of the liqu
id condensed phase coexist with the liquid expanded background. Using
a simple mean-field free energy accounting for the interactions betwee
n proteins and amphiphilic molecules, we obtain the spatial protein di
stribution with the following characteristics. When the proteins prefe
rentially interact with either the liquid condensed or liquid expanded
domains, they will be dissolved in the respective phase. When the pro
teins are energetically rather indifferent to the density of the amphi
philes, they will be localized at the line boundary between the (two-d
imensional) liquid expanded and condensed phases. In between these two
limiting cases, a delocalization transition of the proteins takes pla
ce. This transition is accessible by changing the temperature or the a
mount of incorporated protein. These findings are in agreement with re
cent fluorescence microscopy experiments. Our results also apply to li
pid multicomponent membranes showing coexistence of distinct fluid pha
ses.