Currently, we are developing a computational optical biopsy technology for molecular sensing. We use the diffusion equation to model photon propagation but have a concern about the accuracy of diffusion approximation when the optical sensor is close to a bioluminescent source. We derive formulas to describe photon fluence for point and ball sources and measurement formulas for an idealized optical biopsy probe. Then, we numerically compare the diffusion approximation and the radiative transport as implemented by Monte Carlo simulation in the cases of point and ball sources. Our simulation results show that the diffusion approximation can be accurately applied if even if the sensor is very close to the source . Furthermore, an approximate formula is given to describe the measurement of a cut-end fiber probe for a ball source.
© 2007 Optical Society of AmericaFull Article | PDF Article
Wenxiang Cong, Ge Wang, Durairaj Kumar, Yi Liu, Ming Jiang, Lihong V. Wang, Eric A. Hoffman, Geoffrey McLennan, Paul B. McCray, Joseph Zabner, and Alexander Cong
Opt. Express 13(18) 6756-6771 (2005)
Ge Wang, Wenxiang Cong, Kumar Durairaj, Xin Qian, Haiou Shen, Patrick Sinn, Eric Hoffman, Geoffrey McLennan, and Michael Henry
Opt. Express 14(17) 7801-7809 (2006)
Ge Wang, Haiou Shen, Wenxiang Cong, Shan Zhao, and Guo Wei Wei
Opt. Express 14(17) 7852-7871 (2006)