Abstract
Phosphorescence lifetime imaging has become a widely used technique for tomographic oxygen imaging. The conventional model used to characterize photon transport in phosphorescence imaging is two coupled diffusion equations. On the premise that the total energy of excitation and phosphorescence photon flows must be conserved, we derive the diffusion equations in phosphorescence imaging and show that there must be an additional term to account for the transport of phosphorescent photons. This additional term accounts for the transport of phosphorescence photon energy density due to its gradients. The significance of this term in modelling phosphorescence in biological tissue is assessed.
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References
Apreleva, S.V., Wilson, D.F., Vinogradov, S.A.: Tomographic imaging of oxygen by phosphorescence lifetime. Appl. Opt. 45, 8547–8559 (2006)
Arden, G.B., Sidman, R.L., Arap, W., Schlingemann, R.O.: Spare the rod and spoil the eye. Br. J. Ophthamol. 89, 764–769 (2005)
Pena, F., Ramirez, A.M.: Hypoxia-induced changes in neuronal network properties. Mol. Neurobiol. 32, 251–283 (2005)
Ferriero, D.M.: Medical progress-neonatal brain injury. New Eng. J. Med. 351, 1985–1995 (2004)
Evans, S.M., Koch, C.J.: Prognostic significance of tumor oxygenation in humans. Cancer Lett. 195, 1–16 (2003)
Vanderkooi, J.M., Maniara, G., Green, T.J., Wilson, D.F.: An optical method for measurement of dioxygen concentration based on quenching of phosphorescence. J. Biol. Chem. 262, 5476–5482 (1987)
Wilson, D.F., Vinogradov, S.A.: Handbook of Biomedical Fluorescence. Marcel Dekker (2003)
Servick-Muraca, E.M., Burch, C.L.: Origin of phosphorescence signals reemitted from tissues. Opt. Lett. 19, 1928–1930 (1994)
Welch, A.J., Gemert, M.J.V.: Optical-Thermal Response of Laser-Irradiated Tissue. Plenum Press, New York (1995)
Cheong, W., Prahl, S.A., Welch, A.J.: A review of the optical properties of biological tissues. IEEE J. Quantum Electron. 26, 2166–2185 (1990)
Premaratne, M., Premaratne, E., Lowery, A.J.: The photon transport equation for turbid biological media with spatially varying isotropic refractive index. Opt. Express 13, 389–399 (2005)
Handapangoda, C.C., Premaratne, M., Yeo, L., Friend, J.: Laguerre runge-kutta-fehlberg method for simulating laser pulse propagation in biological tissue. IEEE J. Sel. Top. Quantum Electron. 14, 105–112 (2008)
Peraiah, A.: An Introduction to Radiative Transfer: Methods and Applications in Astrophysics. Cambridge University Press (2002)
Khan, T., Thomas, A.: On derivation of the radiative transfer equation and its spherical harmonics approximation for scattering media with spatially varying refractive indices. Technical Report TR2004-12-KT:1-49, Clemson University Mathematical Sciences (2004)
Troy, T., Thennadil, S.N.: Optical properties of human skin in the near infrared wavelength range of 1000 to 2200 nm. J. Biomed. Opt. 6, 167–176 (2001)
Hutchinson, C.L., Lakowicz, J.R., Sevick-Muraca, E.M.: Fluorescence lifetime-based sensing in tissues: A computational study. Biophys. J. 68, 1574–1582 (1995)
Dirckx, J.J.J., Kuypers, L.C., Decraemer, W.F.: Refractive index of tissue measured with confocal microscopy. J. Biomed. Opt. 10, 044014 (2005)
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Handapangoda, C.C., Premaratne, M., Nahavandi, S. (2012). A Fresh Look at the Validity of Diffusion Equations for Modelling Phosphorescence Imaging of Biological Tissue. In: Lee, G., Howard, D., Kang, J.J., Ślęzak, D. (eds) Convergence and Hybrid Information Technology. ICHIT 2012. Lecture Notes in Computer Science, vol 7425. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32645-5_58
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DOI: https://doi.org/10.1007/978-3-642-32645-5_58
Publisher Name: Springer, Berlin, Heidelberg
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