We present a Monte Carlo (MC) program for determining the temporal behavior of radiation in turbid media, in general, and a tissue, in particular. An object-oriented MC program with flexibility for parallel implementation, and for performing stochastic analysis, is described. We determine the temporal probability distribution functions for three tissues: I ) a lipid-based tissue phantom, II ) a healthy dental tissue, and III ) a dental tissue with caries. The expected time of flight for transmitted radiation is calculated. Signal-to-noise ratios (SNR) are then obtained for several temporal thresholds. By restraining the time threshold, a two orders of magnitude increase in SNR is predicted. A multivariate analysis is finally proposed to complement the discrimination process, necessary for trans-illumination interferometry.
Tissue entropy and information of pass-through photonsThe relevance of any diagnostic technique, including the biomedical ones, resides in its capacity to provide specific information concerning the phenomenon under study. For example, in order to recognize certain types of tissues (those not possessing intrinsic luminescent characteristics) when performing fluorescence microscopy, extrinsic fluorophores are necessary. 1-3 In this case, without the addition of such fluorophores, fluorescence microscopy yields no usable information. That is to say, fluorescence microscopy is irrelevant until extrinsic fluorophores that bind to the tissue of interest are utilized. The importance of this example is that every diagnostic technique should seek to maximize the return of useful information.First, though, it is necessary to establish means to assess the amount of information that a certain technique may unveil. The mathematical formulation of information theory presents a firm foundation to achieve this task. 4,5 In order to fathom the concept of information, probability theory is necessary since both are closely interrelated. Our intuitive notion of information is as follows: events that are highly unlikely (i.e., less probable) to occur reveal much information, whereas events that arise frequently (i.e., highly probable) are less informative. Therefore, a method of diagnosis that seeks to maximize information, would theoretically focus on the assessment of physical phenomena that are less likely to occur. Speaking of entropy rather than information, we would say that diagnostic techniques that center their attention on characteristics that are less likely to arise, generate diagnoses with more informative content as compared to those approaches studying the complementary physical characteristics.Taking this short intuitive discussion as background, we may reflect upon the phenomena that occur frequently in radiation-tissue interactions. Instantaneously scattering and absorption events come to mind. These two phenomena arise very frequently in tissue optics. Figure 1 depicts a Monte Carlo (MC) simulation evidencing such recurrent events in a layered tissue-like configuration.To illustrate qualitativel...