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* Centre for Biophotonics, Strathclyde University, Glasgow, United Kingdom;
Institute of Comparative Medicine, University of Glasgow Veterinary School, University of Glasgow, Glasgow, United Kingdom; and
Institute of Biomedical and Life Sciences, University of Glasgow, Glasgow, United Kingdom
Correspondence: Address reprint requests to Prof. G. L. Smith, West Medical Building, University of Glasgow, Glasgow, G12 8QQ UK. Tel.: 44-141-330-5963; Fax: 44-141-330-4612; E-mail: g.smith{at}bio.gla.ac.uk.
| ABSTRACT |
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| INTRODUCTION |
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40 µm. These fluorescent dyes (excited by ultraviolet light) were used for epifluorescence imaging, but proved difficult to use with laser-scanning systems due to poor ultraviolet (UV) transmission characteristics of microscope optics (Bliton and Clapham, 1993
With the increasing availability of reliable ultra-short pulsed near-infrared (7001050 nM) lasers, two-photon laser-scanning microscopy is now possible on a commercial basis. Considerably lower phototoxicity can accompany the use of longer wavelength illumination, allowing long-term imaging of biological tissue (Squirrell et al., 1999
). Fluorescent dyes with absorption maxima <400 nM (e.g., Fura and Indo) can be excited by near-infrared laser light. Generally the Fura dyes are preferred over the equivalent Indo versions since the latter are less fluorescent and have problems with photoisomerization and photobleaching (Grynkiewicz et al., 1985
). Several Fura-based dyes are now commercially available, each with different Ca2+ (and Mg2+) sensitivities. Originally the Fura dyes were designed for dual wavelength excitation and single-wavelength band emission fluorescence (Grynkiewicz et al., 1985
; Minta et al., 1989
), but single-wavelength excitation may also provide an easily calibrated intracellular Ca2+ signal (Maravall et al., 2000
). In this respect, Fura dyes offer additional advantages when excited at the longer (>365 nM) wavelength. Under these conditions, increases of [Ca2+] cause a decrease in fluorescence, a feature that lends itself to simple calibration procedures (Konishi et al., 1991
; Ogden et al., 1995
). Two-photon excitation of Fura-2 has been used to image Ca2+ within mammalian cerebral cortex (Stutzmann et al., 2003
) and an epithelial cell line (Ricken et al., 1998
).
Previous studies have provided two-photon excitation spectra for Fura-2 (Ca2+-bound and unbound forms; Xu et al., 1996a
,b
; Kuba and Nakayama, 1998
). However, the multiphoton spectra of the other dyes in the Fura family have not yet been reported. The present study describes the multiphoton spectra (750850 nM) of a range of Fura dyes (Fura-2, -4F, -6F, -FF, and Furaptra) and the Ca2+ sensitivity of these dyes when excited with light at 810 nM. This information was used to calibrate the line-scan signals of Fura-4F fluorescence in cardiac myocytes stimulated at 0.5 Hz. These measurements demonstrate for the first time that two-photon excitation of Fura-4F in isolated cardiac myocytes generates a stable Ca2+ signal during continuous line-scan imaging for prolonged periods of time (510 min) with no obvious phototoxicity to the cell or photobleaching of the dye.
| MATERIALS AND METHODS |
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), bandwidth measurement (Laser Spectrum Analyzer 201, IST Ltd., Alton, UK) and alignment verification with a telescoping component and phosphor site windows. The BCU also provides rapid and fine attenuation of the laser beam with a KD*P-based Pockels' cell (
) (Model 50BK, ConOptics, Danbury, CT). The laser power is variable from 100% to 0.5%, a verified attenuation extinction range of 200:1. A separate laser-blocking shutter is located in front of the Pockels' cell. A portion of the postattenuated laser beam (10%) is tapped off and routed to the excitation dose monitors (MON). The laser beam then is expanded with a variable beam expander (Till Photonics, Grafelfing, Germany) to accommodate laser beam filling of different objective lenses. The processed laser beam leaves the BCU through two (adjustable) enhanced silver mirrors to match the optical axis of the confocal scan head (RAD). The confocal scan head was attached to the side port of an inverted microscope (TE300DV, Nikon, UK). The side port of the Nikon inverted Eclipse microscopes have been optimized for near-infrared transmission. The objective lens used for imaging investigations was the high numerical aperture (NA) Nikon Plan Apochromat 60x/1.2 NA water-immersion lens (Nikon, Surrey, UK). The BCU removed 50% of the power available from the laser system, but the power available at the sample was still sufficient to bleach the Fura dyes. Line-scan acquisitions of the confocal unit were limited to 30,000 lines/file, which amounts to 1 min of fast (2 ms/line) scanning. To circumvent this limitation a separate solid-state integration unit was directly connected to the output of the bi-alkali-cathode photon detectors (photomultiplier tube, PMT) (Dempster et al., 2002
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Measurements on solutions of fluorophore
A uniform solution of fluorophore was contained in a 200-µl chamber with a #1.5 coverslip as a base. The lens correction collar was set to the brightest fluorescence. The objective lens was focused 12 µm into the solution to employ thick sample theory (Xu et al., 1995
) and avoid surface effects and movement artifacts. The generated fluorescence signal was represented by the mean of the histogram of eight accumulated (or four averaged) scans. Background counts with the laser shuttered were subtracted from all values.
Two-photon excitation fluorescence cross sections
The spectra are expressed in terms of the two-photon excitation fluorescence (2PEF) cross sections. This method has been established in previous publications as a standardized system of expressing 2PEF spectra (Albota et al., 1998
). The 2PEF cross section is the product of the molecular absorption cross section and the fluorescence emission quantum efficiency and is expressed in terms of Goppert-Meyer (GM) units (1 GM = 10-50 cm4 per s per photon-1). The spectra displayed in this study were expressed in terms of 2PEF cross section by using a scaling factor representing system emission collection (SC) and a correction factor for each wavelength (CF[
]). These values were derived using published 2PEF cross-section values for fluorescein (Albota et al., 1998
), but they can also be generated without reference to a standard, but with the knowledge of a series of system parameters (see Appendix). Linear plots of the 2PEF cross sections can be found at http:www.bio-rad.com/product/multiphoton/radiance2100mp/mpspectra.htm.
The correction factor (CF[
]) represents wavelength-dependent changes in the pulse duration, i.e., the incident peak intensity at the sample. The 2PEF cross section (2PEFcs) of the dye under test was generated by
![]() | (1) |
Psam(
ex)
is the average power measured by the silicon diode monitor.
Calibration solutions
Buffer solutions to enable the measurement of the Ca2+ sensitivity of the high affinity dyes (e.g., Fura-2 and Fura-4F) were made by mixing two principal solutions (Solutions A and B) to generate [Ca2+] values ranging from <1 nM to
50 µM. Both solutions A and B had the following composition: 100 mM KCl, 10 mM NaCl, 1 mM MgCl2, and 25 mM HEPES, at pH 7.0. Solution A additionally contained 10 mM K2EGTA; Solution B additionally contained 10 mM CaK2EGTA. The equilibrium [Ca2+] in the calibration solutions was calculated using a computer program with the affinity constants for H+, Ca2+, and Mg2+ for EGTA taken from Smith and Miller (1985)
. Corrections for ionic strength, details of pH measurement, allowance for EGTA purity, and the principles of the calculations are detailed elsewhere (Miller and Smith, 1984
). Total Mg2+ was adjusted to maintain the free Mg2+ between 0.9 and 1 mM in all solutions. The sensitivity of low affinity dyes (e.g., Fura-FF) was assessed using a solution with the following composition: 100 mM KCl, 10 mM NaCl, 1 mM MgCl2, 25 mM HEPES, and 0.05 mM K2EGTA, at pH 7.0. The [Ca2+] in this solution was varied from 80 nM (no added Ca2+) to 1 mM by addition of CaCl2 from a 1 M stock solution (VWR International, Dorset, UK). Fluorescent Ca2+ indicators Fura-2, -4F, -6F, -FF (Molecular Probes, Eugene, OR) were added to the solution to give a nominal final concentration of 30 µM. All other chemicals were supplied by Sigma (Dorset, UK).
Cardiomyocyte isolation and permeabilization
Ventricular cardiomyocytes were isolated from Langendorff-perfused rabbit hearts by enzymatic digestion as previously described (McIntosh et al., 2000
). Myocytes to be permeabilized were maintained in a modified Krebs solution buffered with 1 mM ethylene bis[oxyethylenenitrilo] tetra-acetic acid (EGTA) at a concentration of
104 cells/ml until use. The cells were allowed to settle onto the coverslip at the base of the sample chamber. ß-escin (Sigma) was used to permeabilize the sarcolemma of cardiac myocytes (Loughrey et al., 2002
). ß-escin was added from a freshly prepared stock solution to the cell suspension to give a final concentration of 0.1 mg/ml for 0.5 to 1 min and the ß-escin subsequently removed by perfusion with a mock intracellular solution with the following composition: 100 mM KCl, 5 mM Na2ATP, 10 mM Na2CrP, 5.5 mM MgCl2, 25 mM HEPES, and 0.05 mM K2EGTA, at pH 7.0 (2021°C).
Intact myocyte measurements
Myocytes used for intact cell measurements were collected from the dissociation procedure and maintained in a modified Krebs solution with the following composition: 120 mM NaCl, 5.4 mM KCl, 3.5 mM MgCl2, 1.8 mM CaCl2, 20 mM HEPES, 11.1 mM glucose, 20 mM taurine, and 0.56 mM NaH2PO4.2H20, at pH 7.4 (2021°C). Cells were loaded with the acetoxymethyl (AM) ester form of the dye by adding 5 µl of 1 mM dye to 0.5 ml of cell suspension. This was incubated for 10 min at 37°C. The cells were subsequently washed and resuspended in 3 ml of the above solution and left for 20 min at room temperature before use. Myocytes were placed in a shallow bath on the microscope stage and perfused with modified Krebs solution. The cardiomyocytes were field-stimulated with 2-ms voltage pulses delivered through parallel platinum wires, and the stimulation voltage was set to 1.5 times the stimulation threshold. The exact timing of electrical stimulation was marked in the confocal image by activating a light-emitting diode (LED) mounted above the cell bath for 2 ms (i.e., the duration of one line scan) 8 ms before electrical stimulation.
Statistics
Data were expressed as mean ± SD.
| RESULTS |
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50 at 750 nM to
150 at 810 nM before decreasing to a value of
50 at 850 nM. The signal values for nuclear region and cytoplasm are all normalized to their values at 780 nM because the relative amount of dye and intracellular [Ca2+] within different regions of the cell are not known. The spectra are shown in Fig. 4 B,iii. Fura-2, Fura-6F, Fura-FF, and Furaptra produced similar 2PEF cross sections (data not shown). Again, all locations within the cell produced effectively the same shape of 2PEF cross section and the cellular spectra agree with the spectra of the dyes in free solution (Fig. 4 B,ii). Using standardized AM loading procedures (see above), the average cytoplasmic Fura-4F fluorescence in intact cells in the presence of low extracellular Ca2+ (100 µM) was 114 ± 66 (n = 10) times higher than the typical background fluorescence measured in unloaded cardiomyocytes. Typically the Fura-4F fluorescence excited at 810 nM varied on a cell-to-cell basis from 35 to 150 times the background autofluorescence value. The effect of this uncertainty of signal over background has implications for the estimation of intracellular [Ca2+], and is discussed later (Fig. 9).
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790 nM; beyond this wavelength, the value remained constant for the majority of the Fura dyes. As shown in Fig. 3, the value of fmax decreases progressively beyond
810 nM. For these reasons, the optimal wavelength for two-photon excitation was chosen as 810 nM, yielding the highest dynamic range and highest fmax value for a range of Fura dyes. The mean Rf values for the Fura dyes studied are shown in Table 1. Fura-2 and Furaptra exhibited the highest Rf values, Fura-FF and Fura-4F the next largest, and Fura-6F displayed the lowest Rf value. Preliminary work with Fura-5F indicated an even lower Rf value (
3, data not shown).
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2.3 mW average power,
395 fs, 80 MHz) for 10 min while the cell was stimulated at 0.5 Hz using field electrodes. No noticeable bleaching or photodamage was evident as shown by samples of the 1-min acquisitions in Fig. 7 A. The average fluorescence from the central 20 pixels of the line scan are shown in Fig. 7 B. Each stimulus event was marked by a 2-ms flash from a green LED. This was followed by a transient fall in fluorescence as a result of a transient rise in intracellular [Ca2+]. The fmax value was obtained by initially superfusing the cell with a low Ca2+ solution (100 µM) to enable the intracellular [Ca2+] to fall to levels that would generate an fmax (intracellular [Ca2+] < 10 nM). Using this fmax value with the Rf and Keff values from Table 1, the signal was converted to intracellular [Ca2+]. As shown in Fig. 7 B,ii, this procedure indicated a resting [Ca2+] of
150 nM and peak systolic of
800 nM, comparable to values gained from other indicators.
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| DISCUSSION |
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0.5 x 1030 photons/cm2 per s, above which bleaching occurred. Bleaching was highlighted as the most likely cause since increased dwell times decreased the signal further and calculations show the peak intensities are far from saturation (Xu et al., 1996b
A previous study has shown a slope >2 for the Ca2+-bound form of Fura-2 with excitation wavelengths beyond 820 nM (Xu et al., 1996b
). A slope of >2 would suggest that part of the fluorescence signal detected is generated by three-photon excitation accessing the 340-nM arm of the Fura excitation spectrum. However, nonlinear excitation modes beyond two are quite sensitive to the peak intensity, the objective lens NA, and the pulse duration at the sample (Xu et al., 1996b
; Hopt and Neher, 2001
). The peak intensity (
0.5 x 1030 photons/cm2 per s) and NA (1.2) used in the present study were similar to the previous study, but measurements of the laser pulse duration at the sample plane (456 fs at 850 nM) indicate longer pulse durations in the present study than the
75 fs most likely used for three-photon imaging with a pulse-precompensated system. The longer pulse durations would yield considerably less (
37 times) three-photon excitation for the same incident peak intensity and may explain the lack of three-photon events observed in this study.
Two-photon excitation spectra
The measured values for the 2PEF cross section of the Ca2+-free form of the indicator (Fig. 3 A) for all Fura dyes studied agree very well with previously published Fura-2 spectra (Xu et al., 1996a
,b
), except for the outgoing "bump" feature from 800 nM to 820 nM in previously published spectra. No anomalies were observed with measurements of fluorescein and Fluo-3 spectra (the same dye concentrations normalized by average power and only scaled at one wavelength, 780 nM, SC, see Eq. 1); therefore the reasons for the minor differences in the Fura spectra are not clear. It is worth noting that our measured values from 750 nM to 850 nM (7.5-fold drop) also agree well with the one-photon values from 375 nM to 425 nM (eightfold drop) (Haugland, 2002
). Similarly, the fall in signal with increasing wavelength (750850 nM) described by the 2PEF spectrum for the Ca2+-bound form of Fura-2 (Fig. 3 B) agrees well with the one-photon fluorescence cross section (375425 nM) (Reynolds, 2003
).
Fortuitously, it appears that the useful portions of the Fura excitation spectrum for single-wavelength excitation are contained within the narrow spectral range presented in this study. Excitation wavelengths <750 nM suffer reduced dynamic range (Rf) and increased autofluorescence contribution, whereas excitation wavelengths >850 nM will produce a dramatically lower S/B when imaging cardiac myocytes. Previously published work has indicated the 2P isosbestic wavelength for Fura-2 is 710 nM (Xu et al., 1996b
) and suggests that the excitation peak of Fura-2 unbound to calcium may be 700 nM. The absorption peak will be difficult to confirm with excitation wavelengths available on Ti:sapphire lasers with broad-band mirror sets (700-nM minimum). As assumed in the original description of the Fura dye (Grynkiewicz et al., 1985
), the Keff of the dye is independent of the excitation wavelength, as now demonstrated with the two-photon wavelength (Fig. 6 B).
While investigating the spectral characteristics of the Ca2+-bound form of the various Fura dyes, it became apparent that excessively high Ca2+ levels (>1 mM) caused a reduction in the fluorescence signal beyond the value expected from the standard sigmoid relationship (Fig. 6 A). Fluorophore quenching by high [Ca2+] seems the most obvious reason for this effect. To avoid this effect leading to an overestimation of Rf, the values listed in Table 1 were derived from the estimates of minimum fluorescence (fmin) generated by the calibration curves.
A standard wavelength of 810 nM was chosen as a suitable compromise between maximizing the Rf value and the S/B. The 2PEF cross section (i.e., normalized signal) for a given dye decreases with increasing wavelength, whereas myocyte cellular autofluorescence (background) exhibits a local minimum
800 nM. As shown in Table 1, Rf values measured at 810 nM varied considerably across the range of Fura dyes studied. As shown in Fig. 6 B, the values of Keff measured at 810 nM are approximate to those measured at 340 nM and 380 nM. The unusual relationship between wavelength and Rf observed with Furaptra was consistent between different batches of the dye and was also observed with single-photon excitation. One possible explanation is the progressive quenching of the fluorescence signal by Ca2+, a phenomenon observed only at Ca2+ levels required to achieve fmin (see above).
The present study has emphasized the two-photon excitation characteristics of Fura dyes, but the single-excitation wavelength approach may also be applied to confocal imaging. Based on preliminary measurements using Fura-4F, excitation with a 405-nM laser (Gallium Nitride, Coherent Violet laser) may provide a feasible approach. Further work is required to compare the two optical sectioning techniques (confocal versus two-photon).
Autofluorescence
Nonloaded cardiac myocytes have detectable autofluorescence in the wavelength range investigated (Fig. 4 B,ii). The level of autofluorescence is comparable to the fmin values obtained at the excitation wavelengths >825 nM, Fig. 3 C. The spectral dependence of the autofluorescence 2PEFcs x [Dye] product does follow the shape of NAD(P)H and flavoprotein. The excitation and emission spectra are compatible with previous measurements on isolated cardiomyocytes (Huang et al., 2002
). Based on these autofluorescence spectra and that for the dye Fura-4, 800810 nM provides the best S/B values within the excitation range studied. The signal/background ratio at 810-nM excitation can be improved 150% by restricting the emission window to 500550 nM (compared to 420625 nM), but at the expense of one-half the Fura signal photons.
Measurement of intracellular [Ca2+]
The bright intracellular fluorescence signals with basal and low intracellular [Ca2+] provides an opportunity to examine intracellular loading uniformity, a procedure more difficult with the standard Fluo-based dyes due to the low fluorescence levels in low intracellular [Ca2+]. Commonly, anomalous spectra of Ca2+-sensitive dyes are observed using wide-field UV excitation after AM loading; the remarkably similar Fura-4F spectra observed in 1), free solution, 2), permeabilized cell cytoplasm, and 3), AM-loaded dye intact cells may be based on the use of the near-infrared excitation wavelength. These wavelengths avoid major absorption and scattering concerns common with UV excitation. Furthermore, the optical sectioning technique should remove optical path differences of the acquired signal volume. The simple calibration step used in this study (superfusion with 0.1 mM extracellular [Ca2+]) can be used a number of times without adverse effects on the cell.
The attribution of the free [Ca2+] value to a fluorescence signal is critically dependent on the value of the Keff of the dye. In this study, the assumption was made that the Keff of Fura-4F within the cytosol is similar to that measured in buffer solutions. The Keff values of a range of Ca2+-sensitive dyes have been shown to increase on interaction with the protein aldolase (Baylor and Hollingworth, 2000
). However, calibration of an intracellular Fura-2 signal in smooth muscle cells indicated only a small increase in Keff (Williams and Fay, 1990
).
Error analysis for estimation of intracellular [Ca2+]
The use of single-excitation wavelength techniques to measure intracellular [Ca2+] is more susceptible to error as a result of potential changes in excitation light levels or sample movement. All-solid-state laser systems can have long-term stability on the order of 3% for the two-photon signal, i.e., much higher stability than the equivalent gas lasers commonly used in laser-scanning confocal microscopy. As proposed earlier, continuous monitoring of laser source intensity can effectively remove these concerns. However, for isolated cardiac myocytes, cell movement/contraction is still a potential source of error. Furthermore, the spectral properties of the dye may be altered by the intracellular environment, the most prominent effect being the reduction in dynamic range of fluorescence signal within the cell (Maravall et al., 2000
). To assess the ability of Fura fluorescence to accurately represent intracellular [Ca2+], computations were made to estimate the errors resulting from changes in the standard parameters necessary for calibration. As shown in Fig. 9 B, the error resulting from change under- or overestimation in Rf is dependent on the relative Keff of the dye. Up to a [Ca2+]/Keff value of 2.0, a large overestimation of Rf (real value 40% less than estimate) causes an overestimation of intracellular [Ca2+] of <20%. For the dye Fura-4F, this limits the maximum measurable [Ca2+] to
2.3 µM, a value seldom achieved physiologically in mammalian cells. As shown in Fig. 9 C, for the commonly used dye Fura-2 this upper limit is reduced to
400 nM. This restricts the accurate use of this dye to measurements of resting [Ca2+] (50400 nM). For illustrative purposes, Fig. 9 C indicates the range of fluorescence changes anticipated for Furaptra in cardiac muscle cells. The high Keff of this indicator precludes its use for accurate measurements of cytosolic [Ca2+].
Conversion of the fluorescence signal to [Ca2+] requires an estimate of the background fluorescence, i.e., systematic background (Fig. 3 C) plus cellular autofluorescence (Fig. 4 B,ii). In this study, the protocol used to load Fura-4F into intact cells using the AM form generated a range of maximum fluorescence values ranging from 35 to 150 (mean 115) times the background level. Another source of uncertainty is the variation in background fluorescence within the cell. Both considerations result in an uncertainty over the background fluorescence, but as shown in Fig. 9 A, the calculation of intracellular [Ca2+] is relatively insensitive to errors in this quantity if the [Ca2+]/Keff value of the dye remains <2.0. This analysis suggests the best dye to cover the range of physiologically [Ca2+] is Fura-4F. Assuming the Keff of the dye is unchanged within the cytoplasm, this dye has the best dynamic range and the lowest number of errors of all the Fura dyes tested.
Viability
The ability to acquire continuous line scans over a long time period (>5 min) permits [Ca2+] calibration before and after experimental intervention. The bracketed calibration coupled with the lack of fluorophore bleaching (Fig. 7 A) allows accurate calibration of an intracellular signal (Fig. 7 C). The marked resistance to bleaching compared to similar short wavelength dyes (e.g., Indo-1) and long wavelength indicators (e.g., Fluo dyes) is most likely due to the inherent stability of Fura fluorescence (Grynkiewicz et al., 1985
). These characteristics mean that the duration of the recording is limited only by the ability of the cell to tolerate continuous exposure to intense laser light and the rate of dye leakage from the cell. A previous study (Hopt and Neher, 2001
) has examined phototoxicity in cultured bovine chromaffin cells, using excitation of Fura-2 with light at 840 nM and peak laser power levels
10 times higher than that of the present study. Extrapolating from these measurements, based on the peak intensity used (see Appendix), the toxic effects of the intense light would be anticipated after 90,000 scans. In contrast, cardiac myocytes could be scanned continuously for up to 10 min (300,000 scans) without noticeable detrimental effects. The basis for this difference between predicted and observed sensitivity is not known, but this may reflect the threshold nature of the damage process. Furthermore, freshly isolated cardiac myocytes (i.e., primary culture) may have a higher potential to resist oxidative damage (Keelan et al., 2001
). Previous publications suggest that lower dose phototoxicity is an indirect two-photon excitation phenomenon, i.e., not related to local heating or UVB effects due to three-photon excitation (Koester et al., 1999
). Instead phototoxic effects may result from absorption by NAD(P)H and endogenous flavonoids (Hockberger et al., 1999
; Hockberger, 2002
). From the endogenous 2PEF cross-section spectra provided by Huang et al. (2002)
, there is an effective local absorption minimum at
800 nM. This agrees well with the measured background autofluorescence from unlabeled myocytes (Fig. 4 B,ii). This may contribute to the long-term viability demonstrated by scanning at 810 nM in cardiac myocytes.
| CONCLUSION |
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810 nM have been shown to be optimal for Fura dyes in terms of indicator dynamic range and S/B for cardiac myocytes. The single-wavelength ratio method demonstrated a robust method to image optically sectioned Ca2+ dynamics in cardiomyocytes while minimizing the entire sample's exposure to UVA/violet/blue-induced effects. Long-term (510 min), continuous line-scan imaging of Ca2+ dynamics was possible with Fura dyes excited via two-photon excitation. The single-wavelength excitation scheme has been shown to provide accurate assessment of the [Ca2+] inside living cells (and tissues). Arrays of Keff values (182 nM, 1.15 µM, 5.18 µM, 19.2 µM, and 58.5 µM) are available to fine-tune the expected [Ca2+] to the dynamic range of the indicator. Fura-4F (1.15 µM Keff) appears to be the best indicator to study cytoplasmic [Ca2+] in cardiac myocytes. | APPENDIX |
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![]() | (2) |
The following assumptions are made to arrive at this equation:
The slope of the Log/Log plots validates the first assumption (Fig. 8 A) and safe intensities for the last two assumptions (Fig. 8 B). The online monitors are used to monitor the relative average power and peak power from the laser system and to verify that the excitation remains in the safe region.
For ease of understanding, Eq. 2 will be separated into the three main components of any system: probe, interaction, and observation. In this particular case, the probe is potential two-photon excitation generated in the focal volume, which is represented by the first group of terms. The interaction in the focal volume inside the sample is represented by the middle group of terms ([Dye] x 2PEFcs). Here, the variable [Dye] represents the concentration of the fluorophore in the excited volume and the variable 2PEFcs(
ex,
em) represents the two-photon excitation fluorescence cross section, which includes the absorption of two-photon excitation,
2(
ex), and the subsequent radiative efficiency of photon emission,
2(
em), of the fluorophore. The observation is the last term,
(
em), and represents the detected incident photon flux converted into an electrical signal.
The average power at the sample,
Psam(
ex)
, and the pulse duration at the sample, tp sam(
ex), were independently determined to help provide the excitation levels incident for the safe operation to minimize bleaching (Fig. 8) and enable long-term imaging (Fig. 7).
Equation 2 can be simplified to
![]() | (3) |
In our system-scaled equation (following Albota et al., 1998
), the constants represent the following terms:
![]() | (4) |
![]() | (5) |
The accurate determination of the sample average power is summarized below. The values of these parameters are unique for each laser-scanning microscope system.
The average power at the sample,
Psam(
ex)
, and the pulse duration at the sample, tp sam(
ex), were independently determined to help provide the excitation levels incident for the safe operation to minimize bleaching (Fig. 8) and enable long-term imaging (Fig. 7).
![]() |
Measuring the average power at the sample plane using immersion fluid between the lens and the detector has the following concerns: the measurement may yield local intensities high enough to damage the detector, and silicon detectors are very sensitive to the incident photon angle. For these reasons we used a thermopile detector without immersion fluid to measure the average power at the sample via a 1.2 NA water-immersion objective. An additional scaling factor was required to account for the total internal reflection within the objective lens. The imaging described in this manuscript only required
10% of the maximum power, which resulted in fairly low powers at the sample plane. The system was characterized between the monitor diodes and the back aperture plane and sample plane. The scaling factor with the monitors permitted lower average powers (<5 mW) to be measured more accurately.
![]() |
The laser bandwidth was measured with a spectrum analyzer (LSA 201, Rees). The laser pulse duration was measured with two-photon absorption autocorrelation using a commercial device (Carpe, APE, Berlin, Germany). A sech2 laser pulse shape was assumed to obtain the pulse durations from the autocorrelation measurements. The autocorrelator included an external signal input for measuring pulse duration differences. The external signal was also derived from two-photon absorption in a GaAsP photodiode. The pulse-duration broadening spectrum of Nikon CFi-60 objective lenses was determined using the before and after pulse duration measurements. The combination of the isolator, cell, and apochromatic objective lens yielded significantly broader pulses at the sample plane, hence the large values presented in this study.
The values relevant for the current study are given below along with additional system values:
ex) = 810 nM
Psam(
ex)
= 2.3 mW | ACKNOWLEDGEMENTS |
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The Wellcome Trust and the British Heart Foundation and Scottish Higher Education Funding Council financially supported this research. An Engineering and Physical Sciences Research Council studentship and the School of Veterinary Medicine, University of Glasgow, financially supported C.L.
Submitted on May 13, 2003; accepted for publication October 20, 2003.
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