Proteins
- 20 amino acids ($20^{L}$) leads to vast set of possible sequences.
- Have two degrees of backbone freedom ($\Phi$ and $\Psi$).
- 5(ish) pieces of secondary structure ($\alpha$-helix, $\beta$-sheet, $\pi$-helix, loop, turn)
- Folds heirarchically, giving $\approx 1000$ folds
Nucleic acids
- 4 bases ($4^{L}$) leads to slightly less vast set of possible sequences.
- Have 12 degrees of backbone freedom ($\alpha$,$\beta$,$\gamma$,$\delta$,$\varepsilon$,$\eta$,$\chi$,$\nu_{0}$,$\nu_{1}$,$\nu_{2}$,$\nu_{3}$,$\nu_{4}$)
- Bunch of low-order structures: B-form, A-form, Z-form, H-form helices; cruciforms; bubbles, hairpins
- Also folds heirarchically, giving who-knows-how-many folds
Nucleic Acids
van Holde, Curtis, Ho. Fig 1.35
Ridiculous numbers of bonds that can rotate
van Holde, Curtis, Ho. Fig 1.36
Sugar can "pucker"
van Holde, Curtis, Ho. Fig 1.37
Bases form standard "Watson-Crick" hydrogen bonds
van Holde, Curtis, Ho. Fig 1.38
But many other hydrogen bond patterns form
van Holde, Curtis, Ho. Fig 3.18
Base pairs orient in different ways relative to axis of strand
van Holde, Curtis, Ho. Fig 1.39
What stabilizes a given nucleic acid structure?
- Hydrogen bonds
- Base stacking
- Electrostatics
Hydrogen bonding
G-C: $-10\ kJ\cdot mol^{-1}$
A-T: $-1\ kJ\cdot mol^{-1}$
van Holde, Curtis, Ho. p. 122
Base stacking
van Holde, Curtis, Ho. Table 3.10
Electrostatics
- Positive ions offset negative charge on backbone
- Divalent ions (particularly magnesium) often play structural roles
Higher-ordered stuff
- Compact structures
- Super long DNA
- DNA origami
Flipping between secondary structures allows regulation
wikimedia.org
Secondary structure can assemble into tertiary structure
wikimedia.org
Secondary structure can assemble into tertiary structure
wikimedia.org
Super long DNA: NETosis
Super long DNA: Supercoiling
bioinfo.org.cn
Super long DNA: Persistence length
Measures how far you have to go until bending at one spot is not correlated with bending at another
Gives a rough estimate of how far along DNA two things can interact without binding to each other