Analysis of Phosphorescence in Heterogeneous Systems Using Distributions of Quencher Concentration

Overview

Journal Biophys J

Publisher Cell Press

Specialty Biophysics

Date 1997 Jul 1

PMID 9199808

Citations 21

Authors

A S Golub

A S Popel

L Zheng

R N Pittman

Affiliations

Soon will be listed here.

Abstract

A continuous distribution approach, instead of the traditional mono- and multiexponential analysis, for determining quencher concentration in a heterogeneous system has been developed. A mathematical model of phosphorescence decay inside a volume with homogeneous concentration of phosphor and heterogeneous concentration of quencher was formulated to obtain pulse-response fitting functions for four different distributions of quencher concentration: rectangular, normal (Gaussian), gamma, and multimodal. The analysis was applied to parameter estimates of a heterogeneous distribution of oxygen tension (PO2) within a volume. Simulated phosphorescence decay data were randomly generated for different distributions and heterogeneity of PO2 inside the excitation/emission volume, consisting of 200 domains, and then fit with equations developed for the four models. Analysis using a monoexponential fit yielded a systematic error (underestimate) in mean PO2 that increased with the degree of heterogeneity. The fitting procedures based on the continuous distribution approach returned more accurate values for parameters of the generated PO2 distribution than did the monoexponential fit. The parameters of the fit (M = mean; sigma = standard deviation) were investigated as a function of signal-to-noise ratio (SNR = maximum signal amplitude/peak-to-peak noise). The best-fit parameter values were stable when SNR > or = 20. All four fitting models returned accurate values of M and sigma for different PO2 distributions. The ability of our procedures to resolve two different heterogeneous compartments was also demonstrated using a bimodal fitting model. An approximate scheme was formulated to allow calculation of the first moments of a spatial distribution of quencher without specifying the distribution. In addition, a procedure for the recovery of a histogram, representing the quencher concentration distribution, was developed and successfully tested.

Citing Articles

Rest-to-work and work-to-rest transients of interstitial PO in spinotrapezius muscle of young and old male rats.

Golub A, Nugent W, Pittman R, Song B Physiol Rep. 2025; 13(5):e70260.

PMID: 40016876 PMC: 11867932. DOI: 10.14814/phy2.70260.

Oxygen transport across the lifespan of male Sprague Dawley rats.

Nugent W, Golub A, Pittman R, Song B Biogerontology. 2025; 26(1):38.

PMID: 39775306 DOI: 10.1007/s10522-024-10180-0.

Measuring Mitochondrial Oxygen Tension during Red Blood Cell Transfusion in Chronic Anemia Patients: A Pilot Study.

Ubbink R, Streng L, Raat N, Harms F, Te Boekhorst P, Stolker R Biomedicines. 2023; 11(7).

PMID: 37509512 PMC: 10376882. DOI: 10.3390/biomedicines11071873.

Monitoring of mitochondrial oxygen tension in the operating theatre: An observational study with the novel COMET® monitor.

Harms F, Streng L, Wefers Bettink M, de Wijs C, Romers L, Janse R PLoS One. 2023; 18(2):e0278561.

PMID: 36758026 PMC: 9910761. DOI: 10.1371/journal.pone.0278561.

Mitochondrial Oxygenation During Cardiopulmonary Bypass: A Pilot Study.

Harms F, Ubbink R, de Wijs C, Ligtenberg M, Ter Horst M, Mik E Front Med (Lausanne). 2022; 9:785734.

PMID: 35924039 PMC: 9339625. DOI: 10.3389/fmed.2022.785734.

References

Alcala J, Gratton E, Prendergast F . Resolvability of fluorescence lifetime distributions using phase fluorometry. Biophys J. 1987; 51(4):587-96. PMC: 1329930. DOI: 10.1016/S0006-3495(87)83383-0. View

Torres Filho I, Leunig M, Yuan F, Intaglietta M, Jain R . Noninvasive measurement of microvascular and interstitial oxygen profiles in a human tumor in SCID mice. Proc Natl Acad Sci U S A. 1994; 91(6):2081-5. PMC: 43313. DOI: 10.1073/pnas.91.6.2081. View

Livesey A, Brochon J . Analyzing the distribution of decay constants in pulse-fluorimetry using the maximum entropy method. Biophys J. 2009; 52(5):693-706. PMC: 1330174. DOI: 10.1016/S0006-3495(87)83264-2. View

Swain D, Pittman R . Oxygen exchange in the microcirculation of hamster retractor muscle. Am J Physiol. 1989; 256(1 Pt 2):H247-55. DOI: 10.1152/ajpheart.1989.256.1.H247. View

Vinogradov S, Lo L, JENKINS W, Evans S, Koch C, Wilson D . Noninvasive imaging of the distribution in oxygen in tissue in vivo using near-infrared phosphors. Biophys J. 1996; 70(4):1609-17. PMC: 1225130. DOI: 10.1016/S0006-3495(96)79764-3. View

Ellsworth M, Popel A, Pittman R . Assessment and impact of heterogeneities of convective oxygen transport parameters in capillaries of striated muscle: experimental and theoretical. Microvasc Res. 1988; 35(3):341-62. PMC: 6124310. DOI: 10.1016/0026-2862(88)90089-1. View

Vinogradov S, Wilson D . Phosphorescence lifetime analysis with a quadratic programming algorithm for determining quencher distributions in heterogeneous systems. Biophys J. 1994; 67(5):2048-59. PMC: 1225580. DOI: 10.1016/S0006-3495(94)80688-5. View

Lakowicz J, Laczko G, Cherek H, Gratton E, Limkeman M . Analysis of fluorescence decay kinetics from variable-frequency phase shift and modulation data. Biophys J. 1984; 46(4):463-77. PMC: 1435017. DOI: 10.1016/S0006-3495(84)84043-6. View

Popel A . Theory of oxygen transport to tissue. Crit Rev Biomed Eng. 1989; 17(3):257-321. PMC: 5445261. View

10.

Zheng L, Golub A, Pittman R . Determination of PO2 and its heterogeneity in single capillaries. Am J Physiol. 1996; 271(1 Pt 2):H365-72. DOI: 10.1152/ajpheart.1996.271.1.H365. View

11.

Kuo L, Pittman R . Influence of hemoconcentration on arteriolar oxygen transport in hamster striated muscle. Am J Physiol. 1990; 259(6 Pt 2):H1694-702. DOI: 10.1152/ajpheart.1990.259.6.H1694. View

12.

Torres Filho I, Intaglietta M . Microvessel PO2 measurements by phosphorescence decay method. Am J Physiol. 1993; 265(4 Pt 2):H1434-8. DOI: 10.1152/ajpheart.1993.265.4.H1434. View

13.

Kerger H, Torres Filho I, Rivas M, Winslow R, Intaglietta M . Systemic and subcutaneous microvascular oxygen tension in conscious Syrian golden hamsters. Am J Physiol. 1995; 268(2 Pt 2):H802-10. DOI: 10.1152/ajpheart.1995.268.2.H802. View

14.

Torres Filho I, Kerger H, Intaglietta M . pO2 measurements in arteriolar networks. Microvasc Res. 1996; 51(2):202-12. DOI: 10.1006/mvre.1996.0021. View

15.

Englander S, Calhoun D, Englander J . Biochemistry without oxygen. Anal Biochem. 1987; 161(2):300-6. DOI: 10.1016/0003-2697(87)90454-4. View

16.

Kuo L, Pittman R . Effect of hemodilution on oxygen transport in arteriolar networks of hamster striated muscle. Am J Physiol. 1988; 254(2 Pt 2):H331-9. DOI: 10.1152/ajpheart.1988.254.2.H331. View

17.

Motulsky H, Ransnas L . Fitting curves to data using nonlinear regression: a practical and nonmathematical review. FASEB J. 1987; 1(5):365-74. View

18.

Wilson D, Pastuszko A, DiGiacomo J, Pawlowski M, Schneiderman R, Delivoria-Papadopoulos M . Effect of hyperventilation on oxygenation of the brain cortex of newborn piglets. J Appl Physiol (1985). 1991; 70(6):2691-6. DOI: 10.1152/jappl.1991.70.6.2691. View

19.

Kerger H, Saltzman D, Menger M, Messmer K, Intaglietta M . Systemic and subcutaneous microvascular Po2 dissociation during 4-h hemorrhagic shock in conscious hamsters. Am J Physiol. 1996; 270(3 Pt 2):H827-36. DOI: 10.1152/ajpheart.1996.270.3.H827. View

20.

Vanderkooi J, Maniara G, Green T, Wilson D . An optical method for measurement of dioxygen concentration based upon quenching of phosphorescence. J Biol Chem. 1987; 262(12):5476-82. View