We study experimentally a coiling instability of cylindrical multilamellar
stacks of phospholipid membranes, induced by polymers with hydrophobic anch
ors grafted along their hydrophilic backbone. Our system is unique in that
coils form in the absence of both twist and adhesion. We interpret our expe
rimental results in terms of a model in which local membrane curvature and
polymer concentration are coupled. The model predicts the occurrence of max
imally tight coils above a threshold polymer occupancy. A proper comparison
between the model and experiment involved imaging of projections from simu
lated coiled tubes with maximal curvature and complicated torsions.