Derivation of the theoretical model. (A) Two
hypothetical configurations
of the system at (small) negative mismatch: (i) The helix is in vertical
orientation, and the membrane thins to match the helix’s hydrophobic
length. (ii) Driven by the precession entropy gain, the helix tilts
by α from the normal, and the membrane thins further. (B) Two
alternative configurations of the system for (small) positive mismatch
in the range of 0–5 Å: (i) The helix is tilted by an angle
γ from the membrane normal to match the native width of the
hydrocarbon region of the membrane. (ii) Driven by the precession
entropy contribution, the tilt angle increases to α (α
> γ), and the membrane slightly thins. The helix is represented
by a cylinder, with the hydrophobic core in purple and the polar termini
in white. The membrane normal is marked by the vertical dashed line;
the helix’s principal axis is marked by the solid line.