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A measurement-based analytical approach to the bioluminescence tomography problem

机译:基于测量的生物发光层析成像问题分析方法

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This work presents an analytical approach for the solution of the tissue diffusion equation based on the boundary measurements. We consider a bioluminescent point source in both homogeneous and heterogeneous circular turbid media. The point source is described by the Dirac delta function. Analytical expressions for the strength and position of the point source are obtained introducing boundary measurements and then applying appropriate boundary conditions. In addition, numerical simulations are performed for the position of the source. Calculations show that that the analytical results are in a good accordance with the numerical results.
机译:这项工作提出了一种基于边界测量值的组织扩散方程解的解析方法。我们考虑均质和非均质圆形混浊介质中的生物发光点源。点源由狄拉克增量函数描述。通过引入边界测量,然后应用适当的边界条件,获得了点源的强度和位置的解析表达式。另外,对源的位置进行数值模拟。计算表明,分析结果与数值结果吻合良好。

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