Method for measurement of intracellular ion concentration using fluorescence probe dyes

Claim 1

A method for measuring intracellular ion concentration by use of a fluorescence probe dye, in which a fluorescence probe dye is introduced into a cell, and a concentration of free ions in the cell is measured, based on intensities of fluorescence generated by irradiating the cell with excitation beams, the method comprising: the first step of irradiating excitation beams at three different wavelengths to the cell, and measuring intensities of the fluorescence generated by the excitation beams, corresponding to the respective three different wavelengths; and the second step of solving simultaneous equations of (1) equilibrium constant equations of the fluorescence probe dye, protein, free ions to be measured and their complexes in the cell, and (2) relationship equations between the intensities of the fluorescence generated by the excitation beams at the respective wavelengths, and the concentration of fluorescence probe dye, protein, free ions to be measured and their complexes, wherein the equations are K.sub.FI =X.sub.F ·X.sub.I /X.sub.FI K.sub.PF =X.sub.P ·X.sub.F /X.sub.PF K.sub.PFI =X.sub.P ·X.sub.FI /X.sub.PFI (or, K.sub.PFI =X.sub.PF X.sub.i /X.sub.PFI) I.sub.λ1 =I.sub.λ1,F ·X.sub.F +I.sub.λ1,PF ·X.sub.PF +I.sub.λ1,FI ·X.sub.FI +I.sub.λ1,PFI ·X.sub.PFI I.sub.λ2 =I.sub.λ2,F ·X.sub.F +I.sub.λ2,PF ·X.sub.PF +I.sub.λ2,FI ·X.sub.FI +I.sub.λ2,PFI ·X.sub.PFI I.sub.λ3 =I.sub.λ3,F ·X.sub.F +I.sub.λ3,PF ·X.sub.PF +I.sub.λ3,FI ·X.sub.FI +I.sub.λ3,PFI ·X.sub.PFI wherein X F : a concentration of a fluorescence probe dye, X I : a concentration of free ions X P : a concentration of protein X FI : a concentration of fluorescence probe dye-free ions complexes X PF : a concentration of protein-fluorescence probe dye complexes X PFI : a concentration of protein-fluorescence probe dye-free ions complexes X FI : an equilibrium constant between fluorescence probe dye and free ions complexes K PF : an equilibrium constant between protein and fluorescence probe dye K PFI : an equilibrium constant among protein, fluorescence probe dye and free ions I.sub.λi : a measured fluorescence intensity for an excitation beam of wavelength λ i I.sub.λi,F : a fluorescence intensity coefficient of a fluorescence probe dye for an excitation beam of wavelength λ i I.sub.λi,PF : a fluorescence intensity coefficient of protein-fluorescence probe dye complexes for an excitation beam of wavelength λ i I.sub.λi,FI : a fluorescence intensity coefficient of fluorescence probe dye-free ion complexes for an excitation beam at wavelength λ i I.sub.λi,PFI : a fluorescence intensity coefficient of protein-fluorescence probe dye-free ions complexes for excitation beam of a wavelength λ i i: 1, 2, 3.

Claim 2

A method for measuring intracellular ion concentration by use of a fluorescence probe dye, in which a fluorescence probe dye is introduced into a cell, and a concentration of free ions in the cell is measured, based on intensities of fluorescence generated by irradiating the cell with excitation beams, the method comprising: the first step of irradiating excitation beams at three different wavelengths to the cell, and measuring intensities of the fluorescence generated by the excitation beams, corresponding to the respective three different wavelengths; and the second step of solving simultaneous equations of (1) equilibrium constant equations of the fluorescence probe dye, protein, free ions to be measured and their complexes in the cell, and (2) relationship equations between the intensities of the fluorescence generated by the excitation beams at the respective wavelengths, and the concentration of fluorescence probe dye, protein, free ions to be measured and their complexes, wherein the equations are K.sub.FI =X.sub.F ·X.sub.I /X.sub.FI K.sub.PF =X.sub.P ·X.sub.F /X.sub.PF K.sub.PFI =X.sub.P ·X.sub.FI /X.sub.PFI (or, K.sub.PFI =X.sub.PF X.sub.i /X.sub.PFI) I.sub.λ1 =I.sub.λ1,F ·X.sub.F +I.sub.λ1,PF ·X.sub.PF +I.sub.λ1,FI ·X.sub.FI +I.sub.λ1,PFI ·X.sub.PFI I.sub.λ2 =I.sub.λ2,F ·X.sub.F +I.sub.λ2,PF ·X.sub.PF +I.sub.λ2,FI ·X.sub.FI +I.sub.λ2,PFI ·X.sub.PFI I.sub.λ3 =I.sub.λ3,F ·X.sub.F +I.sub.λ3,PF ·X.sub.PF +I.sub.λ3,FI ·X.sub.FI +I.sub.λ3,PFI ·X.sub.PFI wherein X F : a concentration of a fluorescence probe dye, X I : a concentration of free ions X P : a concentration of protein X FI : a concentration of fluorescence probe dye-free ions complexes X PF : a concentration of protein-fluorescence probe dye complexes X PFI : a concentration of protein-fluorescence probe dye-free ions complexes X FI : an equilibrium constant between fluorescence probe dye and free ions complexes K PF : an equilibrium constant between protein and fluorescence probe dye K PFI : an equilibrium constant among protein, fluorescence probe dye and free ions I.sub.λi : a measured fluorescence intensity for an excitation beam of wavelength λ i I.sub.λi,F : a fluorescence intensity coefficient of a fluorescence probe dye for an excitation beam of wavelength λ i I.sub.λi,PF : a fluorescence intensity coefficient of protein-fluorescence probe dye complexes for an excitation beam of wavelength λ i I.sub.λi,FI : a fluorescence intensity coefficient of fluorescence probe dye-free ion complexes for an excitation beam at wavelength λ i I.sub.λi,PFI : a fluorescence intensity coefficient of protein-fluorescence probe dye-free ions complexes for excitation beam of a wavelength λ i i: 1, 2, 3.

Claim 9

A method for measuring intracellular ion concentration in a cell by use of a fluorescence probe dye, in which a fluorescence probe dye introduced into a cell, and a concentration of free ions in the cell is measured, based on intensities of fluorescence generated by irradiating the cell with an excitation beam, the method comprising: the first step or irradiating an excitation beam of one wavelength to the cell, and measuring intensities of the fluorescence of three wavelengths generated by the excitation beam; and the second step of solving simultaneous equations of (1) equilibrium constant equations of the fluorescence probe dye, protein, free ions to be measured and their complexes in the cell, and (2) relationship equations between the intensities of the fluorescence of the three wavelengths generated from the excitation by the excitation beam, and the concentrations of fluorescence probe dye, protein, free ions to be measured and their complexes, wherein the equations are K.sub.FI =X.sub.F ·X.sub.I /X.sub.FI K.sub.PF =X.sub.P ·X.sub.F /X.sub.PF K.sub.PFI =X.sub.P ·X.sub.FI /X.sub.PFI (or, K.sub.PFI =X.sub.PF X.sub.I /X.sub.PFI) I.sub.λ1 =I.sub.80 1,F ·X.sub.F +I.sub.λ1,PF ·X.sub.PF +I.sub.λ1,FI ·X.sub.FI +I.sub.λ1,PFI ·X.sub.PFI I.sub.λ2 =I.sub.λ2,F ·X.sub.F +I.sub.λ2,PF ·X.sub.PF +I.sub.λ2,FI ·X.sub.FI +I.sub.λ2,PFI ·X.sub.PFI I.sub.λ3 =I.sub.λ3,F ·X.sub.F +I.sub.λ3,PF ·X.sub.PF +I.sub.λ3,FI ·X.sub.FI +I.sub.λ3,PFI ·X.sub.PFI wherein X F : a concentration of a fluorescence probe dye, X I : a concentration of free ions X P : a concentration of protein X FI : a concentration of fluorescence probe dye-free ions complexes X PF : a concentration of protein-fluorescence probe dye complexes X PFI : a concentration of protein-fluorescence probe dye-free ions complexes K FI : an equilibrium constant between fluorescence probe dye and free ions K PF : an equilibrium constant between protein and fluorescence probe dye K PFI : an equilibrium constant among protein, fluorescence probe dye and free ions I.sub.λi : a measured fluorescence intensity at a wavelength λ i I.sub.λi,F : a fluorescence intensity coefficient of a fluorescence probe dye at a wavelength λ i I.sub.λi,PF : a fluorescence intensity coefficient of protein-fluorescence probe dye complexes at a wavelength λ i I.sub.λi,FI : a fluorescence intensity coefficient of fluorescence probe dye-free ion complexes at wavelength λ i I.sub.λi,PFI : a fluorescence intensity coefficient of protein-fluorescence probe dye-free ions complexes at a wavelength λ i i: 1, 2, 3.

Claim 10

A method for measuring intracellular ion concentration in a cell by use of a fluorescence probe dye, in which a fluorescence probe dye introduced into a cell, and a concentration of free ions in the cell is measured, based on intensities of fluorescence generated by irradiating the cell with an excitation beam, the method comprising: the first step or irradiating an excitation beam of one wavelength to the cell, and measuring intensities of the fluorescence of three wavelengths generated by the excitation beam; and the second step of solving simultaneous equations of (1) equilibrium constant equations of the fluorescence probe dye, protein, free ions to be measured and their complexes in the cell, and (2) relationship equations between the intensities of the fluorescence of the three wavelengths generated from the excitation by the excitation beam, and the concentrations of fluorescence probe dye, protein, free ions to be measured and their complexes, wherein the equations are K.sub.FI =X.sub.F ·X.sub.I /X.sub.FI K.sub.PF =X.sub.P ·X.sub.F /X.sub.PF K.sub.PFI =X.sub.P ·X.sub.FI /X.sub.PFI (or, K.sub.PFI =X.sub.PF X.sub.I /X.sub.PFI) I.sub.λ1 =I.sub.80 1,F ·X.sub.F +I.sub.λ1,PF ·X.sub.PF +I.sub.λ1,FI ·X.sub.FI +I.sub.λ1,PFI ·X.sub.PFI I.sub.λ2 =I.sub.λ2,F ·X.sub.F +I.sub.λ2,PF ·X.sub.PF +I.sub.λ2,FI ·X.sub.FI +I.sub.λ2,PFI ·X.sub.PFI I.sub.λ3 =I.sub.λ3,F ·X.sub.F +I.sub.λ3,PF ·X.sub.PF +I.sub.λ3,FI ·X.sub.FI +I.sub.λ3,PFI ·X.sub.PFI wherein X F : a concentration of a fluorescence probe dye, X I : a concentration of free ions X P : a concentration of protein X FI : a concentration of fluorescence probe dye-free ions complexes X PF : a concentration of protein-fluorescence probe dye complexes X PFI : a concentration of protein-fluorescence probe dye-free ions complexes K FI : an equilibrium constant between fluorescence probe dye and free ions K PF : an equilibrium constant between protein and fluorescence probe dye K PFI : an equilibrium constant among protein, fluorescence probe dye and free ions I.sub.λi : a measured fluorescence intensity at a wavelength λ i I.sub.λi,F : a fluorescence intensity coefficient of a fluorescence probe dye at a wavelength λ i I.sub.λi,PF : a fluorescence intensity coefficient of protein-fluorescence probe dye complexes at a wavelength λ i I.sub.λi,FI : a fluorescence intensity coefficient of fluorescence probe dye-free ion complexes at wavelength λ i I.sub.λi,PFI : a fluorescence intensity coefficient of protein-fluorescence probe dye-free ions complexes at a wavelength λ i i: 1, 2, 3.