Table 2.
# folded helices | microstate | Internal: −RTHΣsi | Neighbor interaction: −RTJΣsisi+1 | Ends: +RTJ(s1 + sn) | bGTotal (kcal/mol) | bStepwise ΔGi→j (kcal/mol) | bOverall ΔG0→j (kcal/mol) |
---|---|---|---|---|---|---|---|
0 | −−−−−−−− | +8RTH | −7RTJ | −2RTJ | +RT(8H−9J) | n.a. | 0 |
1 | −−−−+−−− | +6RTH | −3RTJ | −2RTJ | +RT(6H−5J) | −2RTH+4RTJ | +2.33 |
2 | −−−−++−− | +4RTH | −3RTJ | −2RTJ | +RT(4H−5J) | −2RTH | 0.16 |
3 | −−−+++−− | +2RTH | −3RTJ | −2RTJ | +RT(2H−5J) | −2RTH | −2.01 |
4 | −−++++−− | 0 | −3RTJ | −2RTJ | −5RTJ | −2RTH | −4.18 |
5 | −−+++++− | −2RTH | −3RTJ | −2RTJ | +RT(−2H−5J) | −2RTH | −6.35 |
6 | −++++++− | −4RTH | −3RTJ | −2RTJ | +RT(−4H−5J) | −2RTH | −8.52 |
7 | −+++++++ | −6RTH | −5RTJ | 0 | +RT(−6H−5J) | −2RTH | −10.69 |
8 | ++++++++ | −8RTH | −7RTJ | 2RTJ | +RT(−8H−5J) | −2RTH | −12.86 |
H and J parameters from 1D Ising lattice treatment of Kajandar et al [42]. H represents the internal energy of a single lattice site, neglecting interaction terms with neighbors and ends, where helical (+) and unfolded (−) states have energies of +RTH and −RTH, respectively. In the Ising formalism, in which fictitious end-spins are included, H is closely related to the propagation energy (−2RTH; see entries in stepwise ΔGi→j column). J captures interactions between adjacent sites, with a value −RTJ when adjacent sites are both helix (++) or both unfolded (−−), and +RTJ when they are in different states (+− or −+). J also captures interactions between the end sites (here positions 1 and 8) and sites off the end of the chain (fictitious positions 0 and 9) in (−) states. In the absence of denaturant, H=1.83 and J=1.9.
Free energies are evaluated at 298.15K.