Both theoretical and experimental results are presented for in vivo calibration of the dissociation constant K(Ca)(d)of the calcium-sensitive fluorescent dye Rhod(2)in the perfused mouse heart, using manganese quenching of fluorescence transients. An analytical model is derived, based on the biochemical equilibrium of manganese competition with calcium for Rhod(2)binding. Expressing the differential of the changes between systole and diastole in fluorescence transient (delta Delta F(sys-dia)). delta DeltaF(sys-dia)in a beating heart as a function of the perfusate manganese concentration [Mn(2+)](p)allows correlation of the measured differential transient changes delta Delta F(sys-dia)with the calcium dissociation constant K(Ca)(d)of Rhod(2)and the calcium concentration in the heart. Numerical modeling indicates that the K(Ca)(d)predominantly affects the asymptotic slope of the delta Delta F(sys-dia)versus [Mn(2+)](p)curve at certain manganese concentrations, which suggests that the K(Ca)(d)can be inversely calculated by partially fitting the delta Delta F(sys-dia)distribution as a function of the perfusate manganese concentration. The feasibility of this approach is confirmed by quenching of calcium transients by manganese infusion into isolated perfused beating mouse hearts. The resulting calculated dissociation constant K(Ca)(d)of Rhod(2)is 720nM. Using the same approach, we are able to also estimate intracellular calcium concentrations of 700nM at peak systole and 300nM in diastole. This is in good agreement with values obtained by calibration of fluorescence values with a calcium saturation tetanization procedure in the same perfused mouse heart model.
Copyright 2001 Harcourt Publishers Ltd.