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Emmision of
mGFP after energy
transfer
Excitation with
polarized light
Emmision of directly
excited mGFP
par
par
per
per
mGFP
Homo-FRET
FIGURE 16.1
Schematic representation of homo-FRET in a dimer of monomeric GFP (mGFP), causing
depolarization of the polarized excitation light.
Scarlata (1995) introduced a simple model to calculate cluster sizes from the steady-
state anisotropy ( r ss ) (Eq. 16.2 ):
1
þ ot
r et N
ð
1
Þot
r ss ¼
r mono
þ Not þ
(16.2)
1
1
þ Not
Here, r mono is the anisotropy of monomers, r et is the anisotropy after energy transfer,
N is the number of molecules in the cluster, and
o
is defined as
6
o ¼
ð
R 0 =
R
Þ
=t
where R 0 is the F¨rster distance, R is the distance between two fluorophore, and
t
the
fluorescence lifetime. The homo-FRET rate
can be determined from time-resolved
anisotropy experiments. In steady-state anisotropy experiments, the rate is either es-
timated or assumed to be much faster than the rate of fluorescence. In the latter case,
ot!1
o
(under these conditions E
¼
1) and Eq. (16.2) reduces to Eq. (16.3) :
r mono 1
r et N
1
r ss ¼
N þ
(16.3)
N
In the original work by Runnels and Scarlatta, they presented an example where an-
isotropy after a single energy transfer step is about zero. This further simplifies
Eq. (16.2) to
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