Studies of a Mathematical Model for Temperature-modulated Bioluminescence Tomography

نویسندگان

  • Weimin Han
  • Haiou Shen
  • Kamran Kazmi
  • Wenxiang Cong
  • Ge Wang
چکیده

We introduce and study a mathematical model for temperature-modulated bioluminescence tomography (TBT). The model is capable of self-adjusting values of experimental parameters that are used in the formulation. Major theoretical results of the paper include: solution existence of the model, convergence of numerical solutions, an iterative scheme based on linearization, studies of the solution limiting behaviors when normalized total energy function and/or some or all the energy percentages in individual spectral bands are known exactly. Several numerical examples are included to illustrate the improvement of the accuracy of the reconstructed bioluminescent source distribution due to the employment of measurements from multiple temperature distributions.

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تاریخ انتشار 2009