Study of Mathematical Model of Heterogeneous Biological Tissue through the Reflection-Type Pulse Oximeter Behavior

Pulse oximetry is an important medical monitoring technique. Due to the limited use of transmission pulse oximeter in high density tissue, the purpose of this study is to focus on the study and development of reflectance pulse oximeters.In this study, by considering of photon diffusion theory advantages, a new analytical method was developed to investigation of light propagation in a heterogeneous medium like fingerprint. In the following, we solve the obtained analytical equation for light propagation in a biological tissue.To validate the obtained results of analytical model, we used Monte Carlo simulation results as a gold standard. The results validated that the diffusion approximation equation could resolve the heterogeneous advanced tissue and the analytical solutions (AS) could offer the simulation with higher efficiency and accuracy.

Keywords:

pulse oximetry , Transmission , reflectance , Photon Diffusion , Analytical Solutions , Monte Carlo