A total of 1,000 points were collected for each trace and at least 10 individual traces were averaged at each set of conditions. The binding transients were analyzed either with the Pro-Data Viewer fitting software provided with the instrument or with the data fitting function of KinTek Global Kinetic Explorer (16, 17) and fit to a single or a sum of exponential functions defined as(Eq. 1)

where Y is the fluorescence intensity at time
t,
kobs,i is the observed rate of the
ith process with an amplitude of A
i and C is an offset value (18, 19). For NADH binding, linear plots of the observed rate (
kobs) versus ligand concentration were fit to,(Eq. 2)

where
k1is the constant for the on rate and
k−1 is the constant for the off rate for binding. For hyperbolic plots of the observed rates (
kobs) versus ligand concentration were fit to,(Eq. 3)

where K
d is the dissociation constant for binding and
k2 and
k−2 are the forward and reverse rate constants of a subsequent conformational change, respectively. Plots that display a decreasing
kobs with increasing ligand concentration indicated a rate limiting conformational change prior to binding (20, 21) and were fit to,(Eq. 4)

where
k3 and
k−3 are the forward and reverse rate constants of the conformational change and Kd* is the dissociation constant for ligand binding. Equations 3 and 4 can be combined into Scheme 2 (20) where ligand can bind either before or after the conformational change. The rate constants can be obtained by fitting to,(Eq. 5)

where the rate and dissociation constants correspond to those in equations 3 and 4. With reference to Scheme 2, K
d =
k−1/
k1 and K
d* =
k−4/
k4.