Table 1.

Thermodynamic and kinetic parameters for a minimal model of facilitated diffusion.

rate coefficients
stepreactionforwardbackwardΔGi=1,2,3,4o
1A1+E1k1k1E1Ak1 = 107 M−1s−1k1=k1/exp(ΔG1o/RT)s1ΔG1o=RTln (k1/k1)
2E1Ak2k2E2Ak2104s1k2104s1ΔG2o=RTln k2k2
when ΔG2o0, then
k2=104s1 and k2=k2/eΔG2o/RTs1
when ΔG2o>0, then
k2=k2eΔG2o/RTs1 and k2=104s1
3E2Ak3k3A2+E2k3=k3exp(ΔG3o/RT)s1k3=107M1s1ΔG3o=RTln (k3/k3)
4E2k4k4E1k4104s1,k4104s1ΔG4o=RTln (k4/k4)
when ΔG4o0, then
k4=104s1 and k4=k4/eΔG4o/RTs1
when ΔG4o>0, then
k4=k4eΔG4o/RTs1 and k4=104s1
overallA1A2ΔGoverallo=i=1i=4ΔGio=0