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Propagation of highly scattered radiation in tissue

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 67))

Abstract

An increasing number of biomedical technologies for sensor applications and photodynamic therapy are based on the propagation of highly scattered radiation in tissue. A simple example of a sensor is the Pulse Oximeter where light from a Light-Emitting Diode (LED) is directed onto a finger (see Figure 12.1), and the measured attenuation determines whether the blood is oxygen rich or oxygen poor.

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References

  1. Medical Optical Tomography: Functional Imaging and Monitoring,eds. G.J. Müller et al, vol. IS11, SPIE Optical Engineering Press, Billingham, Washington (1993).

    Google Scholar 

  2. V. Twersky, Interface effects in multiple scattering by large, low refracting, absorbing particles, J. Opt. Soc. America, 60 (1970), 908–914.

    Article  Google Scholar 

  3. V. Twersky, Absorption and multiple scattering by biological suspensions, 60 (1970), 1084–1093.

    Google Scholar 

  4. K.M. Case and P.F. Zweifel, Linear Transport Theory, Addison-Wesley, Reading (1967).

    MATH  Google Scholar 

  5. J.M. Kaltenback and M. Kaschke, Frequency and time-domain modelling of light transport in random media, pp. 65–86 in [1].

    Google Scholar 

  6. S.A. Prahl, M. Keijzer, S.L. Jacques, and A.J. Welch, A Monte Carlo model of light propagation in tissue, in Dosimetry of Laser Radiation in Medicine and Biology, Vol. Is-5, SPIE Optical Engineering Press (1989), pp. 102–111.

    Google Scholar 

  7. L. Reynolds, C. Johnson, and A. Ishimaru, Diffuse reflectance from a finite blood medium: Applications to the modeling of fiber optic catheters, Applied Optics, 15 (1976), 2059–2067.

    Article  Google Scholar 

  8. S.R. Arridge, The forward and inverse problem in time resolved infrared imaging, pp. 35–64 in [1].

    Google Scholar 

  9. R. Kohn and M. Vogelius, Relaxation of a variational method for impedance tomography, Comm. Pure and Appl. 40, (1987), 745–777.

    Article  MathSciNet  MATH  Google Scholar 

  10. F. Santosa and M. Vogelius, A backprojection algorithm for electrical impedance imaging, SIAM J. Appl. Math., 50 (1990), 216–243.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. Kohn and M. Vogelius, Determining conductivity by boundary measurements II: Interior results, Comm. Pure Appl. Math., 38 (1985), 693–667.

    Article  MathSciNet  Google Scholar 

  12. J. Sylvester and G. Uhlmann, A global uniqueness theorem for an inverse boundary value problem, Ann. Math., 125 (1987), 153–169.

    Article  MathSciNet  MATH  Google Scholar 

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© 1995 Springer-Verlag New York, Inc.

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Friedman, A. (1995). Propagation of highly scattered radiation in tissue. In: Mathematics in Industrial Problems. The IMA Volumes in Mathematics and its Applications, vol 67. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8454-0_12

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  • DOI: https://doi.org/10.1007/978-1-4613-8454-0_12

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8456-4

  • Online ISBN: 978-1-4613-8454-0

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