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. Author manuscript; available in PMC: 2009 Jan 1.
Published in final edited form as: Arch Biochem Biophys. 2007 Sep 15;469(1):83–99. doi: 10.1016/j.abb.2007.08.034

Table 2.

Energy terms in an Ising for contiguous blocks of helices in a consensus TPR of eight helices (four repeats).

# 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.

b

Free energies are evaluated at 298.15K.