| In Silico Characterization of Resonance Energy Transfer for Disk-Shaped Membrane Domains Biophysical Journal, Volume 92, Issue 9, 1 May 2007, Pages 3040-3051 Maria A. Kiskowski and Anne K. Kenworthy Abstract Förster resonance energy transfer (FRET) has become an important tool to study the submicrometer distribution of proteins and lipids in membranes. Although resolving the two-dimensional distribution of fluorophores from FRET is generally underdetermined, a forward approach can be used to determine characteristic FRET “signatures” for interesting classes of microdomain organizations. As a first step toward this goal, we use a stochastic Monte Carlo approach to characterize FRET in the case of molecules randomly distributed within disk-shaped domains. We find that when donors and acceptors are confined within domains, FRET depends very generally on the density of acceptors within domains. An implication of this result is that two domain populations with the same acceptor density cannot be distinguished by this FRET approach even if the domains have different diameters or different numbers of molecules. In contrast, both the domain diameter and molecule number can be resolved by combining this approach with a segregation approach that measures FRET between donors confined in domains and acceptors localized outside domains. These findings delimit where the inverse problem is tractable for this class of distributions and reframe ways FRET can be used to characterize the structure of microdomains such as lipid rafts. Abstract | Full Text | PDF (626 kb) |
| A Flexible Approach to the Calculation of Resonance Energy Transfer Efficiency between Multiple Donors and Acceptors in Complex Geometries Biophysical Journal, Volume 89, Issue 6, 1 December 2005, Pages 3822-3836 Ben Corry, Dylan Jayatilaka and Paul Rigby Abstract Resonance energy transfer provides a practical way to measure distances in the range of 10–100Å between sites in biological molecules. Although the relationship between the efficiency of energy transfer and the distance between sites is well described for a single pair of fluorophores, the situation is more difficult when more than two fluorophores are present. Using a Monte Carlo calculation scheme, we demonstrate how resonance energy transfer can be used to measure distances between fluorophores in complex geometries. We demonstrate the versatility of the approach by calculating the efficiency of energy transfer for individual fluorophores randomly distributed in two and three dimensions, for linked pairs of donors and acceptors and pentameric structures of five linked fluorophores. This approach can be used to relate the efficiency of energy transfer to the distances between fluorophores, , molecular concentrations, laser power, and donor/acceptor ratios in ensembles of molecules or when many fluorophores are attached to a single molecule such as in multimeric proteins. Abstract | Full Text | PDF (286 kb) |
| Anisotropic excitation transfer to acceptors randomly distributed on surfaces Biophysical Journal, Volume 46, Issue 1, 1 July 1984, Pages 1-8 H. Kellerer and A. Blumen Abstract We presented exact expressions for the ensemble averaged decay of the excitation of a donor molecule due to the energy transfer via anisotropic dipolar interactions to acceptors distributed randomly on a surface. The disorder extended both over the positions of the acceptors and over the orientations of their transition dipoles with respect to that of the donor molecule. Several cases were considered explicitly (a) random orientations of the acceptors in space, with the donor being (a1) perpendicular to the plane, (a2) in the plane, (a3) randomly oriented in space; (b) random orientations of both donor and acceptors in the plane; (c) parallel orientations of donor and acceptors (no orientational disorder). For all these cases we evaluated the analytic, Förster-like expressions, valid for long times and low acceptor densities, and obtained their domains of validity by comparison with the exact, numerically calculated decay laws. Abstract | PDF (688 kb) |
Copyright © 1979 The Biophysical Society. All rights reserved.
Biophysical Journal, Volume 28, Issue 2, 197-210, 1 November 1979
doi:10.1016/S0006-3495(79)85171-1
Research Article
P.K. Wolber and B.S. Hudson
An analytic solution of the Förster energy transfer problem in two dimensions is presented for the case in which the orientation factor is independent of the donor-acceptor distance, and both the donors and acceptors are randomly distributed in a plane. A general solution based on the method of Förster is possible since all distances are measured in units of R0. The analytic solution is extended to the cases of donors embedded in structures that exclude acceptors, and donors that bind acceptors. The validity of the analytic solutions is demonstrated by comparison with numerical simulation calculations. Numerical approximations to the exact solutions are given for ease of computation. Specific applications to the case of fluorescence quenching of a membrane-bound donor by membrane-bound acceptors are presented.