A measurement-based analytical approach to the bioluminescence tomography problem

Hakan Erkol; Aytac Demirkiran; Esra-Aytac Kipergil; Nasire Uluc; Mehmet B. Unlu

doi:10.1117/12.2039301

4 March 2014 A measurement-based analytical approach to the bioluminescence tomography problem

Hakan Erkol, Aytac Demirkiran, Esra-Aytac Kipergil, Nasire Uluc, Mehmet B. Unlu

Proceedings Volume 8952, Biomedical Applications of Light Scattering VIII; 89520H (2014) https://doi.org/10.1117/12.2039301
Event: SPIE BiOS, 2014, San Francisco, California, United States

Abstract

This work presents an analytical approach for the solution of the tissue diffusion equation based on the bound- ary 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.

Citation Download Citation

Hakan Erkol, Aytac Demirkiran, Esra-Aytac Kipergil, Nasire Uluc, and Mehmet B. Unlu "A measurement-based analytical approach to the bioluminescence tomography problem", Proc. SPIE 8952, Biomedical Applications of Light Scattering VIII, 89520H (4 March 2014); https://doi.org/10.1117/12.2039301

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