A non-equilibrium thermodynamics (NET) model describing the action of
completely coupled or 'slipping' reconstituted Ca2+-ATPase is presente
d. Variation of the coupling stoichiometries with the magnitude of the
electrochemical gradients, as the ATPase hydrolyzes ATP, is an indica
tion of molecular slip. However, the Ca2+ and H+ membrane-leak conduct
ances may also be a function of their respective gradients. Such non-o
hmic leak typically yields 'flow-force' relationships that are similar
to those that are obtained when the pump slips; hence, caution needs
to be exercised when interpreting data of Ca2+-ATPase-mediated fluxes
that display a non-linear dependence on the electrochemical proton (De
lta<(mu)over tilde>(H)) and/or calcium gradients (Delta<(mu)over tilde
>(Ca)). To address this issue, three experimentally verifiable relatio
nships differentiating between membrane leak and enzymic slip were der
ived. First, by measuring Delta<(mu)over tilde>(H) as a function Of th
e rate of ATP hydrolysis by the enzyme. Second, by measuring the overa
ll 'efficiency' of the pump as a function of Delta<(mu)over tilde>(H).
Third, by measuring the proton ejection rate by the pump as a functio
n of its ATP hydrolysis rate.