B. R. Cho et al.
n˜
=
3345, 1750, 1710, 1662 cmꢁ1; elemental analysis calcd (%) for
probe and Ca2+, respectively. The total probe and metal-ion concentra-
tions are defined as [L]0 =[L]+[LM] and [M]0 =[M]+[LM], respectively.
With [L]0 and [M]0, the value of Kd is given by [Eq. (2)]:
C48H53N3O19: C 59.07, H 5.47, N 4.31; found: C 58.80, H 5.78, N 4.12.
ACa3: Compound C (0.80 g, 1.08 mmol) was dissolved in MeCN (30 mL)
and proton sponge (0.46 g, 2.15 mmol), NaI (0.032 g, 0.22 mmol), and
CH3I (0.46 g, 3.24 mmol) were added. The reaction mixture was refluxed
for 12 h under N2. The solvent was removed in vacuo and the product
was purified by column chromatography by using chloroform/ethyl ace-
tate/hexane (3:1:1) as the eluent. Yield: 0.73 g (90%); m.p. 828C;
1H NMR (400 MHz, CDCl3): d=8.30 (d, J=1.6 Hz, 1H), 7.91 (dd, J=
8.6, 1.8 Hz, 1H), 7.76 (d, J=8.8 Hz, 1H), 7.60 (d, J=9.0 Hz, 1H), 7.16
(dd, J=9.0, 2.0 Hz, 1H), 6.90 (d, J=2.0 Hz, 1H), 6.66 (m, 6H), 4.60 (s,
2H), 4.20 (s, 4H), 4.13 (s, 4H), 4.08 (s, 4H), 3.55 (s, 6H), 3.51 (s, 6H),
3.14 (s, 3H), 2.67 (s, 3H), 2.25 ppm (s, 3H); 13C NMR (100 MHz, CDCl3):
d=198.0, 172.3, 172.2, 150.8, 150.4, 138.5, 137.9, 136.9, 132.4, 132.2, 131.0,
130.6, 126.4, 125.4, 124.8, 121.9, 119.7, 119.3, 119.1, 116.6, 114.2, 111.4,
105.6, 67.2, 67.0, 58.7, 56.3, 53.6, 53.5, 51.8, 51.7, 39.0, 26.7, 21.2,
18.7 ppm; IR (KBr): n˜ = 1756, 1662 cmꢁ1; elemental analysis calcd (%)
for C41H47N3O11: C 64.98, H 6.25, N 5.54; found: C 65.04, H 6.19, N 5.59.
2
½LM ꢁð½L0 þ ½M0 þ KdÞ½LM þ ½L ½M
0
0
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
ð2Þ
2
ð½L0 þ ½M0 þ KdÞꢁ ð½L0 þ ½M0 þ KdÞ ꢁ4½L ½M
0
0
¼ 0, ½LM ¼
2
or [Eq. (3)]:
ðFꢁFmin
Þ
pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
ꢀ
ꢁ
2
ð½L0 þ ½M0 þ KdÞꢁ ð½L0 þ ½M0 þ KdÞ ꢁ4½L ½M
0
0
¼
ðFmaxꢁFminÞ
2½L
0
ð3Þ
in which F is the observed fluorescence intensity, Fmin is the minimum
fluorescence intensity, and Fmax is the maximum fluorescence intensity.
The Kd value that best fits the titration curve (Figure 2d and Figure S3c
in the Supporting Information) with Equation (3) was calculated by using
the Excel program as reported.[18]
To determine KTdP for the TP process, the TPEF spectra were obtained
with a DM IRE2 microscope (Leica) by using the xyl mode at a scan
speed of 800 Hz. They were excited by a mode-locked titanium–sapphire
laser source (Coherent Chameleon, 90 MHz, 200 fs) set at a wavelength
of 780 nm and output power 1180 mW, which corresponded to approxi-
mately 10 mW average power in the focal plane. The TPEF titration
curves (Figure 2d and Figure S3c in the Supporting Information) were
obtained and fitted to Equation (3).
This ester (0.50 g, 0.66 mmol) was hydrolyzed by the method described
above. Yield: 0.24 g (52%); m.p. 1418C; 1H NMR (400 MHz, CD3OD):
d=8.35 (d, J=1.8 Hz, 1H), 7.82 (dd, J=8.8, 1.6 Hz, 1H), 7.79 (d, J=
8.8 Hz, 1H), 7.59 (d, J=9.0 Hz, 1H), 7.26 (dd, J=9.0, 2.0 Hz, 1H), 6.98
(d, J=2.0 Hz, 1H), 6.82 (m, 6H), 4.67 (s, 2H), 4.25 (m, 4H), 3.96 (s,
4H), 3.90 (s, 4H), 3.16 (s, 3H), 2.63 (s, 3H), 2.24 ppm (s, 3H); 13C NMR
(100 MHz, CD3OD): d=199.0, 172.6, 172.5, 150.4, 150.2, 138.4, 138.1,
137.6, 135.3, 134.2, 130.8, 130.7, 125.1, 124.7, 121.3, 119.4, 119.1, 118.7,
118.4, 116.2, 114.3, 112.7, 112.1, 105.8, 67.3, 67.0, 58.3, 56.3, 54.5, 51.6,
39.2, 25.3, 19.0 ppm; IR (KBr): n˜ = 2915, 1748, 1663 cmꢁ1; elemental
analysis calcd (%) for C37H39N3O11: C 63.33, H 5.60, N 5.99; found: C
63.22, H 5.75, N 5.91.
Measurement of a two-photon cross-section: The TP cross-section (d)
was determined by using the femtosecond fluorescence measurement
technique as described previously.[24] ACa1–ACa3 and OG1 were dis-
solved in MOPS buffer (30 mm; 100 mm KCl, 10 mm EGTA, pH 7.2) at
concentrations of 1.010ꢁ5 m and then the TP-induced fluorescence in-
tensity was measured at 740–940 nm by using fluorescein (8.010ꢁ5 m,
pH 11) as the reference, the TP property of which has been well charac-
terized in the literature.[25] The intensities of the TP-induced fluorescence
spectra of the reference and sample emitted at the same excitation wave-
length were determined. The TPA cross-section was calculated according
to Equation (4):
ACa3-AM: This compound was prepared by using the procedure de-
scribed for ACa2-AM. Yield: 54%; m.p. 1028C; 1H NMR (400 MHz,
CDCl3): d=8.30 (d, J=1.6 Hz, 1H), 7.92 (dd, J=8.6, 1.6 Hz, 1H), 7.77
(d, J=8.8 Hz, 1H), 7.62 (d, J=9.0 Hz, 1H), 7.17 (dd, J=9.0, 2.0 Hz, 1H),
6.93 (d, J=2.0 Hz, 1H), 6.74 (m, 6H), 5.60 (s, 4H), 5.58 (s, 4H), 4.60 (s,
2H), 4.22 (s, 4H), 4.17 (s, 4H), 4.14 (s, 4H), 3.15 (s, 3H), 2.67 (s, 3H),
2.26 (s, 3H), 2.05 (s, 6H), 2.04 ppm (s, 6H); d=198.0, 171.1, 170.8, 169.7,
169.6, 150.5, 150.2, 148.7, 138.6, 136.3, 135.4, 133.3, 133.2, 131.7, 131.6,
130.8, 130.5, 126.5, 125.2, 122.7, 121.1, 119.8, 118.8, 114.7, 114.6, 113.2,
104.0, 79.7, 79.5, 79.4, 68.4, 68.1, 54.6, 54.5, 47.9, 42.8, 26.7, 23.2,
21.0 ppm; IR (KBr): n˜ = 1750, 1710, 1660 cmꢁ1; elemental analysis calcd
(%) for C49H55N3O19: C 59.45, H 5.60, N 4.24; found: C 59.42, H 5.54, N
4.30.
SSFrꢀrcr
SrFSꢀScS
ð4Þ
d ¼
dr
Determination of apparent dissociation constants: A series of calibration
solutions containing various [Ca2+] was prepared by mixing two solutions
(solution A, containing 10 mm K2EGTA, and solution B, containing
10 mm CaEGTA) in various ratios.[3,23] Both solutions contained ACa1–
ACa3 (1 mm), KCl (100 mm), and MOPS (30 mm), and were adjusted to
pH 7.2.
Cell culture: Astrocytes were taken from cerebral cortices of one-day-old
rats (Sprague–Dawley; SD). Cerebral cortices were dissociated in Hankꢀs
balanced salt solution (Gibco BRL, Gaithersburg, MD, USA), containing
papain (3 UmLꢁ1; Worthington Biochemical Corporation, NJ, USA) and
plated in 75 mm flasks. To prepare a purified astrocyte culture, the flasks
were shaken for 6 h on a shaker at 378C and the floating cells that were
displaced into the medium were removed. Astrocytes were passaged with
To determine the Kd values for Ca2+ complexes with ACa1–ACa3, the
fluorescence spectrum was recorded with solution A (2.0 mL; 0 mm free
Ca2+) at 208C. Then this solution (203 mL) was discarded and replaced
by solution B (203 mL; 39 mm free Ca2+), and the spectrum was recorded.
5 min exposure to 0.25% trypsin, replated onto polyCAHTRE(UGN d-lysine)-coated
glass coverslips at 50–100 cells per mm2, and maintained in Dulbeccoꢀs
modified Eagleꢀs medium (DMEM; Gibco) supplemented with penicillin/
streptomycin and 10% fetal bovine serum (FBS; Gibco) in a CO2 incuba-
tor at 378C. After 7–15 days in vitro, the astrocytes were washed three
times with serum-free medium, and then incubated with ACa2-AM
(2 mm) in serum-free medium for 20 min at 378C. The cells were washed
three times with phosphate-buffered saline (PBS; Gibco) and then
imaged after further incubation in colorless serum-free medium for
15 min.
This brought the CaEGTA concentration to 1.00 mm and [Ca2+
]
free
to
about 0.017 mm with no change in the concentration of the probe or of
the total EGTA. [Ca2+
]
was calculated from the Kd of EGTA for Ca2+
free
(150.5 nm) by using Equation (1).[3,23]
½CaEGTA
½Ca2þ
free
¼ KEd GTA
Â
ð1Þ
½K2EGTA
Two-photon fluorescence microscopy: TP fluorescence microscopy
images of ACa2-AM-labeled astrocytes and tissues were obtained with
spectral confocal and multiphoton microscopes (Leica TCS SP2) with a
100 oil objective and numerical aperture (NA)=1.30. The images were
obtained with a DM IRE2 microscope (Leica) by exciting the probes
with a mode-locked titanium–sapphire laser source (Coherent Chame-
leon, 90 MHz, 200 fs) set at a wavelength of 780 nm and output power
1180 mW, which corresponded to approximately 10 mW average power in
Further iterations attained 0.038, 0.065, 0.101, 0.150, 0.230, 0.350, 0.601,
0.800, 1.00, 1.30, 2.50, 5.30, 10.0, and 20.0 mm free Ca2+ by successively
discarding 223, 251, 285, 327, 421, 479, 667, 420, 350, 412, 905, 1028, 926,
and 992 mL of solution A and replacing each with an equal volume of sol-
ution B.
When a 1:1 metal–ligand complex is formed between probe and Ca2+
,
one can describe the equilibrium as follows, in which L and M represent
2082
ꢁ 2008 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Chem. Eur. J. 2008, 14, 2075 – 2083