Nonlinear curve-fitting methods for time-resolved data analysis

Flim Microscopy in Biology and Medicine

Volumn , Issue , 2009, Pages 341-369

  Gryczynski, Ignacy ^a   Luchowski, Rafal ^a   Bharill, Shashank ^a   Borejdo, Julian ^a   Gryczynski, Zygmunt ^a  

^a UNIVERSITY OF NORTH TEXAS HEALTH SCIENCE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957310043     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (37)

1. Alcala, J. R., Gratton, E., and Prendergast, F. G. 1987. Resolvability of fluorescence lifetime distributions using phase fluorometry. Biophysical Journal 51 (4): 587-596.
2. Ameloot, M., 1992. Laplace deconvolution of fluorescence decay surfaces. Methods in Enzymology 210:279-304.
3. Ballin, J. D., Prevas, J. P., Bharill, S., Gryczynski, I., Gryczynski, Z., Wilson, G. M. 2008. Local RNA conformational dynamics revealed by 2-aminopurine solvent accessibility. Biochemistry 47:7043-7052.
4. Bard, Y. 1974. Nonlinear parameter estimation. New York: Academic Press.
5. Bebelaar, D. 1986. Time response of various types of photomultipliers and its wavelength dependence in time-correlated single photon counting with an ultimate resolution of 47 ps FWHM. Review of Scientific Instruments 57:1116-1125.
6. Beechem, J. M., Gratton, E., Ameloot, A., Knutson, J. R., and Brand, L. 1991. The global analysis of fluorescence intensity and anisotropy decay data: Second-generation theory and program. In Topics in fluorescence spectroscopy, vol. 2: Principles, ed. J. R. Lakowicz, 241-305. New York: Plenum Press.
7. Bevington, P. R. 1969. Data reduction and error analysis for the physical science. New York: McGraw-Hill.
8. Bharill, S., Sarkar, P., Ballin, J. D., Gryczynski, I., Wilson, G. M., and Gryczynski, Z. 2008. Fluorescence intensity decays of 2-aminopurine solutions: Lifetime distribution approach. Annals of Biochemistry 377:141-149.
9. Birch, D. J. S., and Imhof, R. E. 1991. Time-domain fluorescence spectroscopy using time-correlated single photon counting. In Topics in fluorescence spectroscopy, vol. 1, Techniques, ed. J. R. Lakowicz, 1-95. New York: Plenum Press.
10. Box, G. E. P. 1960. Fitting empirical data. Annals of the New York Academy of Sciences 86:792-816.
11. Carraway, E. R., Hauenstein, B. L., Demas, J. N., and DeGraff, B. A. 1985. Luminescence lifetime measurements. Elimination of phototube time shifts with the phase plane method. Annals of Chemistry 57:2304-2308.
12. Demas, J. N., and Crosby, G. A. 1970. Photoluminescence decay curves: An analysis of the effects of flash duration and linear instrumental distortions. Analytical Chemistry 42:1010-1017.
13. Gafni, A., Modlin, R. L., and Brand, L. 1975. Analysis of fluorescence decay curves by means of the Laplace transformation. Biophysical Journal 15:263-280.
14. Good, H. P., Kallir, A. J., and Wild, U. P. 1984. Comparison of fluorescence lifetime fitting techniques. Journal of Physical Chemistry 88:5435-5441.
15. Gratton, E., Jameson, D. M., and Hall, R. D. 1984. Multifrequency phase and modulation fluorometry. Annual Review of Biophysics & Bioengineering 13:105-124.
16. Gratton, E., and Limkeman, M. 1983. A continuously variable frequency cross-correlation phase fluorometer with picosecond resolution. Biophysical Journal 44:315-324.
17. Grinvald, A., and Steinberg, I. Z. 1974. On the analysis of fluorescence decay kinetics by the method of least squares. Analytical Biochemistry 59:583-598.
18. Gryczynski, Z., and Bucci, E. 1993. Design and application of a new optical cell for measuring weak fluorescent emission with time resolution in the picosecond time scale. Biophysical Chemistry 48:31-38.
19. Gryczynski, Z., Gryczynski, I., and Lakowicz, J.R. 2005. Basics of fluorescence and FRET. In Molecular imaging. FRET microscopy and spectroscopy, ed. A. Periasamy and R. N. Day, 21-56. New York: Oxford University Press.
20. Gryczynski, Z., Lubkowski, J., and Bucci, E. 1995. Heme-protein interactions in horse heart myoglobin at neutral pH and exposed to acid investigated by time-resolved fluorescence in the pico-to nanosecond time range. Journal of Biological Chemistry 270:19232-19237.
21. Gryczynski, Z., Lubkowski, J., and Bucci, E. 1997. Fluorescence of myoglobin and hemoglobin. Methods of Enzymology 78:538-569.
22. Helman, W. P. 1971. Analysis of very fast transient luminescence behavior. International Journal for Radiation Physics and Chemistry 3:283-294.
23. Isenberg, I., Dyson, R. D., and Hanson, R. 1973. Studies on the analysis of fluorescence decay data by the method of moments. Biophysical Journal 13:1090-1115.
24. Johnson, M. L. 1994. Use of least-squares techniques in biochemistry. Methods in Enzymology 240:1-22.
25. Johnson, M. L., and Faunt, L. M. 1992. Parameter estimation by least squares method. Methods in Enzymology 210:1-37.
26. Johnson, M. L., and Fresier, S. G. 1985. Nonlinear least-squares analysis. Methods in Enzymology 117:301-342.
27. Knight, A. E. W., and Selinger, B. K. 1971. The deconvolution of fluorescence decay curves. A nonmethod for real data. Spectrochimica Acta Part A 27:1223-1234.
28. Lakowicz, J. R. 1999. Principles of fluorescence spectroscopy, 2nd ed. New York: Plenum Press.
29. Livesey, A. K., and Brochon, J. C. 1987. Analysis of distribution of decay constants in puls-fluorimetry using a maximum entropy method. Biophysical Journal 52:693-706.
30. Montgomery, D. C., and Peck, E. A. 1982. Introduction to linear regression analysis. New York: John Wiley & Sons.
31. Munro, I. H., and Ramsay, I. A. 1968. Instrumental response time corrections in fluorescence decay measurements. Journal of Physics E 1:147-148
32. Nedler, J. A., and Mead, R. 1965. A simplex method for function minimization. Computer Journal 7:308-313.
33. O’Connor, D. V., and Philips, D. 1984. Time-correlated single photon counting. New York: Academic Press.
34. O’Connor, D. V. O., Ware, W. R., and Andre, J. C. 1979. Deconvolution of fluorescence decay curves. A critical comparison of techniques. Journal of Physical Chemistry 83:1333-1343.
35. Small, E. W. 1992. Method of moments and treatment nonrandom error. Methods of Enzymology 210:237-279.
36. Straume, M., Frasier-Cadoret, S. G., and Johnson, M. L. 1991. Least-square analysis of fluorescence data. In Topics in fluorescence spectroscopy, vol. 2: Principles, ed. J. R. Lakowicz, 177-240. New York: Plenum Press.
37. Ware, W. R., Doemeny, L. J., and Nemzek, T. L. 1973. Deconvolution of fluorescence and phosphorescence decay curves. A least-square method. Journal of Physical Chemistry 77:2038-2048.