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In the time domain method, the sample is illuminated
with a short pulse of light and the intensity of the
emission versus time is recorded. Originally, these short
light pulses were generated using flashlamps that had
widths on the order of several nanoseconds.
Modern laser sources can now routinely generate pulses
with widths on the order of picoseconds or shorter.
If the decay is a single exponential and the lifetime
is long compared to the exciting light, then the lifetime
can be determined directly from the slope of the curve. If
the lifetime and the excitation pulse width are
comparable, some type of deconvolution method must be used
to extract the lifetime.
Great effort has been expended on developing
mathematical methods to ¡§deconvolve¡¨ the effect of the
exciting pulse shape on the observed fluorescence decay
(see, for example, many chapters in [2]). With the advent
of very fast laser pulses these deconvolution procedures
became less important for most lifetime measurements,
although they are still required whenever the lifetime is
of comparable duration to the light pulse.
In frequency-domain the excitation frequency E(t) is
described by:
tan £p =
£s£n
The modulations of the excitation (M E)
and the emission (M F) are given by:


The relative modulation, M, of the emission is
then:

£n can also be determined
from M according to the relation:

Thus using the phase shift and relative modulation one
can determine a phase lifetime £np
and a modulation lifetime £nM.
If the fluorescence decay is a single exponential, then
£np and
£nM will depend
upon the modulation frequency, i.e.,
£nP
(£s1) <
£nP (£s2)
if £s1 >
£s2
The differences between £np
and £nM and their
frequency dependence form the basis of the methods used to
analyze for lifetime heterogeneity, i.e., the component
lifetimes and amplitudes.
One must be careful to distinguish the term fractional
contribution to the total intensity (f) from £\, the
pre-exponential term referred to earlier in the time
domain. The relation between these two terms is given
by:

where j represents the sum of all components, £\ their
pre-exponential factors and £n
are the lifetimes of these components.
Analysis
Multifrequency phase and modulation data are usually
analyzed using a non-linear least squares methods in
which the actual phase and modulation ratio data (not
the lifetime values) are fitted to different models such
as single or multiple exponential decays. The quality of
the fit is then judged by the reduced chi-square value
(£q 2):

where P and M refer to phase and modulation data,
respectively, c and m refer to calculated and measured
values and £mP and £mM refer to the
standard deviations of each phase and modulation
measurement, respectively. f is the number of modulation
frequencies and d is the degrees of freedom.
In addition to decay analysis using discrete
exponential decay models, one may also choose to fit the
data to distribution models. In this case, it is assumed
that the excited state decay characteristics of the
emitting species actually results in a large number of
lifetime components. Shown below is a typical lifetime
distribution plot for the case of a single tryptophan
containing protein ¡V Human Serum Albumin.
The plots show the frequency response curves (phase and
modulation vs. modulation frequency) for Human Serum
Albumin (left). The excitation source was a 300-nm UV-LED;
the emission was collected through a WG320 high-pass
filter at a temperature of 20¢XC. Lifetime analysis was
performed using a Lorentzian distribution (center at 5.4
ns, width = 2.9 ns, fractional distribution = 98%) and a
second discrete component (t = 0.51 ns and fractional
contribution = 0.02%). For a review of HSA lifetime
studies see [3].
The distribution shown here is Lorentzian, but
depending on the decay kinetics of the system, different
types of distributions, e.g., Gaussian, or asymmetric
distributions (Planck), may be utilized. This approach to
lifetime analysis is described in [4].
Applications
Fluorescence Lifetime Assays:
The fluorescence lifetime (FLT) has been widely
utilized for the characterization of fluorescence species
and in biophysical studies of proteins, e.g. the distances
between particular amino-acid residues by Foerster
Resonance Energy-Transfer (FRET). FLT is a parameter that
is mostly unaffected by inner filter effects, static
quenching and variations in the fluorophore concentration.
For this reason FLT can be considered as one of the most
robust fluorescence parameters, and therefore it is
advantageous in clinical and high throughput screening (HTS)
applications where it is necessary to discriminate against
the high background fluorescence from biological samples.
Also FLT offers more leverage with regards to
multiplexing. The ability to discriminate between two
fluorophores with similar spectra but different lifetimes
is another way to increase the number of parameters to be
measured (see, for example [5]).
Several mechanisms can be utilized for the development
of lifetime-based assays. There are the simple binding
assays, where binding of 2 components (one being
fluorescently labeled) is accompanied by a FLT-change.
Another scenario would be a quench-release type assay
where the quenched species has low but finite fluorescence
but is initially present in large excess. If the
fluorescence compound is released (binding to a
complementary DNA strand (Molecular Beacon) or by an
enzymatic reaction) the lifetime of the system increases.
Finally, FLT is a powerful method to measure energy
transfer efficiency in FRET (fluorescence resonance energy
transfer) assays, circumventing the issue of spectral
cross talk between donor and acceptor, by using a
non-fluorescent acceptor.
Fluorescence Lifetime Sensing:
Most of the fluorescence sensors and assays that are in
use today are based on intensity measurements. Though
these methods are easier to implement they lack robustness
and they require frequent calibration [6]. Many
difficulties that are associated with intensity-based
measurements can be circumvented using lifetime-based
measurements. Lifetime-based measurements have the
advantage that they are independent of the fluorescence
intensity. In past 10 years many probes that exhibit
analyte-sensitive fluorescence lifetime changes have been
identified and characterized. Some of these probes are
listed in Table 2. For a detailed discussion on
lifetime-based sensing we refer you to the book chapter
¡§Lifetime-based Sensing¡¨ in [6].
Fluorescence Lifetime Imaging:
Fluorescence lifetimes also offer opportunities in
fluorescence microscopy where the local probe
concentration cannot be controlled. FLIM allows image
contrast to be created based on the fluorescence lifetime
of a probe at each point of the image. Typical examples
are the mapping of cell parameters such as pH, ion
concentrations or oxygen saturation by fluorescence
quenching, fluorescence resonance energy transfer (FRET),
or photon-induced energy transfer (PET). Examples of
biological applications of lifetime imaging technology
include scanning of tissue surfaces, photodynamic therapy,
DNA chip analysis, skin imaging and others (see, for
example [7]).
| Fluorescent Probes |
Mean Lifetime [ns] |
Absorption Max [nm] |
Emission Max [nm] |
| |
free |
bound |
free |
bound |
free |
bound |
| a) Calcium
Probes |
|
| Fura-2 |
1.09 |
1.68 |
362 |
335 |
500 |
503 |
| Indo-1 |
1.4 |
1.66 |
349 |
331 |
482 |
398 |
| Ca-Green |
0.92 |
3.66 |
506 |
506 |
534 |
534 |
| Ca-Orange |
1.20 |
2.31 |
555 |
555 |
576 |
576 |
| Ca-Crimson |
2.55 |
4.11 |
588 |
588 |
610 |
612 |
| Quin-2 |
1.35 |
11.6 |
356 |
336 |
500 |
503 |
| |
| b) Magnesium
Probes |
|
| Mg-Quin-2 |
0.84 |
8.16 |
353 |
337 |
487 |
493 |
| Mg-Green |
1.21 |
3.63 |
506 |
506 |
532 |
532 |
| |
| c) Potassium
Probe |
|
| PBFI |
0.52 |
0.59 |
350 |
344 |
546 |
504 |
| |
| d) Sodium
Probe |
|
| Sodium Green |
1.13 |
2.39 |
507 |
507 |
532 |
532 |
| |
| e) pH Probes |
|
| SNAFL-1 |
1.19 |
3.74 |
539 |
510 |
616 |
542 |
| Carboxy-SNAFL-1 |
1.11 |
3.67 |
540 |
508 |
623 |
543 |
| Carboxy-SNAFL-2 |
0.94 |
4.60 |
547 |
514 |
623 |
545 |
| Carboxy-SNARF-1 |
1.51 |
0.52 |
576 |
549 |
638 |
585 |
| Carboxy-SNARF-2 |
1.55 |
0.33 |
579 |
552 |
633 |
583 |
| Carboxy-SNARF-6 |
1.03 |
4.51 |
557 |
524 |
635 |
559 |
| Carboxy-SNARF-X |
2.59 |
1.79 |
575 |
570 |
630 |
600 |
| Resorufin |
2.92 |
0.45 |
571 |
484 |
587 |
578 |
| BCECF |
4.49 |
3.17 |
503 |
484 |
528 |
514 |
Table 2. Spectral
properties (absorption and emission maxima) and mean
lifetimes of common ion-probes.
Books and Book Chapters related to Fluorescence
Lifetime:
- 1. Lakowicz, J.R. (1999). Principles of Fluorescence
Spectroscopy, 2nd Edition, Kluwer Academic/Plenum
Publishers, New York.
- 2. Valeur, B. (2002). Molecular Fluorescence. Wiley-VCH
Publishers.
- 3. Herman B. (1998). Fluorescence Microscopy, 2nd
Edition, Springer-Verlag, New York.
- 4. Baeyens W.R.G., de Keukeleire, D., Korkidis, K.
(1991). Luminescence techniques in chemical and
biochemical analysis, M. Dekker, New York.
- 5. Jameson, D. M. and Hazlett, T.L. (1991).
Time-Resolved Fluorescence in Biology and Biochemistry,
in Biophysical and Biochemical Aspects of Fluorescence
Spectroscopy (Dewey, Ed.) Plenum Press, New York.
References:
- Weber, G. in Hercules, D.M. Fluorescence and
Phosphorescence Analysis. Principles and Applications,
Interscience Publishers (J. Wiley & Sons), New York, pp.
217-240 (1966).
- Cundall, R.B. and Dale, R.E. (Eds.). Time-Resolved
Fluorescence Spectroscopy in Biochemistry and Biology (Nato
Advanced Science Institutes Series. Series a, Life
Sciences; Vol. 69, Plenum Pub Corp, New York (1983).
- Helms, M.K., Petersen, C.E., Bhagavan, N.V.,
Jameson, D.M., Time-resolved fluorescence studies on
side-directed mutants of human serum albumin. FEBS
letters, 408, 67-70 (1997).
- Alcala, J. R., Gratton E. and Prendergast, F.G.,
Fluorescence lifetime distributions in proteins. Biophys.
J. 51, 597-604 (1987).
- Gratton E. and Jameson, D.M., New approach to phase
and modulation resolved spectra. Anal. Chem. 57,
1694-1697 (1985).
- Szmacinski H. and Lakowicz, J.R., Topics in
Fluorescence Spectroscopy: Vol. 4. Probe Design and
Chemical Sensing Lakowicz, J.R. (Ed.), Plenum Press, New
York, (1994).
- Clegg, R. M. Holub, O., and Gohlke, C., Fluorescence
lifetime-resolved imaging: measuring lifetimes in an
image. Methods Enzymol. 360, 509-542 (2003).
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