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Electron spin resonance (ESR) spectroscopy is the only direct detective method of radicals which are substances with unpaired electrons. Recent studies in biochemistry have clarified that various kinds of radicals have relation to several biological phenomena, e.g., carcinogenesis, aging, biophylaxis etc. Therefore, in vivo ESR-imaging of spatio-temporal behavior of radicals has significance for pathology and physiology. So far, we have developed an ESR-CT algorithm based on deconvolution procedure, and developed an interactive data processing system for actual observation. Using this system, satisfactory in vivo CT images have been obtained from the viewpoint of morphological imaging. However, this method has the limitation for quantitative and dynamic analysis of bio-radicals. In this paper, we elucidate the reason why the conventional ESR-CT algorithm based on deconvolution is not enough for quantitative measurements, and propose a new algorithm to estimate projections, more quantitatively, based on modeling of ESR signals with Gram-Charlier expansion. Furthermore, we demonstrate its effectiveness by applying it to actual data from physicalphantom experiment and in vivo experiment for mouse's liver.

Modelling of ESR Signal with Gram-Charlier Expansion and Its Application to In Vivo ESR-CT Imaging for Quantitative Measurement