The technique of in vivo EPR oximetry has been more widely introduced only recently (Ferrari et al., 1994, Halpern et al., 1994, Swartz et al., 1994). Our laboratory has concentrated on spectroscopy at 1.2GHz, using particulate oxygen-sensitive paramagnetic materials placed at the site (or sites) of interest (Dunn et al., 1995, Gallez et al., 1996, Goda et al., 1996, Goda et al, 1995, Jiang et al., 1995, Liu et al., 1995, Liu et al., 1994a, Liu et al., 1994b, O’Hara et al., 1995a, O’Hara et al., 1995b, Swartz et al., 1992). This form of EPR oximetry has a number of features that seem potentially advantageous for making biologically useful measurements. These features include 1) the capability of making repeated non-invasive measurements from the same site without the need for anesthesia (after the placement of oxygen-sensitive paramagnetic materials at the site (or sites) of interest); 2) high accuracy and sensitivity, especially for lower levels of oxygen; 3) rapid response (seconds); 4) measurements which are not perturbed by factors such as pH, temperature, osmotic strength; 5) a high degree of stability and inertness in biological systems; 6) the availability of the oxygen-sensitive paramagnetic materials in a variety of forms ranging from a slurry of very small particles to a single macroscopic crystal; 7) the calibration is very stable; and 8) there is a very high degree of specificity of the measurements because there usually are no other EPR responsive materials present in sufficient concentrations to affect the measurements. EPR oximetry, of course, also has some potential limitations and uncertainties. These include 1) a certain level of invasiveness; for many uses the particulate oxygen-sensitive paramagnetic materials need to be physically placed at the site(s) of interest 2) availability; at the present time the instrumentation required for these measurements is not yet widely available 3) depth of penetration; the most sensitive approach, using an exciting frequency of I GHz, limits non-invasive measurements to a depth of about 10 mm; and 4) the nature of the parameter that is measured by the technique is not fully understood by many scientists. The purpose of this paper is to address the last question, doing so in a context that relates EPR oximetry to other methods.