a. If the lipid bilayer is 30 Å thick, what is the smallest number of amino acid residues that can be in each α-helixes for them to be long enough to span the bilayer? b. If one of the three α-helixes is titled at a 32° angle relative to an axis perpendicular to the surface of the lipid bilayer, what is the smaller number of amino acid helixes required for that helix to still span the lipid bilayer? c. How many hydrogen bonding interactions would there be in the smallest possible tilted transmembrane α-helix?

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I'm honestly confused on where to start with this question. I think it has something to do with the residues per turn but can you please explain and show detailed work on the the problem.

Researchers have discovered a new membrane protein that has three transmembrane domain αhelixes that span the lipid bilayer.

a. If the lipid bilayer is 30 Å thick, what is the smallest number of amino acid residues that can be in each α-helixes for them to be long enough to span the bilayer?

b. If one of the three α-helixes is titled at a 32° angle relative to an axis perpendicular to the surface of the lipid bilayer, what is the smaller number of amino acid helixes required for that helix to still span the lipid bilayer?

c. How many hydrogen bonding interactions would there be in the smallest possible tilted transmembrane α-helix?

d. If the tilted α-helix was a 310 helix instead how many amino acid residues would be required to span the lipid bilayer? How many amino acid residues would be required if it was a π-helix?

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