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Theoretical determination of the blood's relative oxygen saturationin vivo

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Abstract

The diffusion equations for randomly directed photons are applied to the problem of thein vivo determination of the oxygen relative saturation in blood. A model of the living tissue is presented. The transmitted and backscattered light fluxes are calculated for various skin properties, volume occupied by the blood and the blood relative oxygen saturation. Normalization functions are introduced and analyzed for sensitivities to changes in several parameters. The photodiffusion theoretical treatment is suggested for calculations which will lead to optimal normalization techniques and transducer design for thein vivo measurements of the oxygen relative saturation in the blood.

Sommaire

Les équations de diffusion, établies pour les photons dont les directions sont réparties au hasard, sont employées pour la déterminationin vivo de la saturation relative de l'oxygène dans le sang. Un modèle de tissue vivant est présenté. Les flux de lumière transmise et diffusée rétrograde sont calculés pour diverses caractéristiques de peau, le volume occupé par le sang et la saturation relative de l'oxygène dans le sang. Des fonctions de normalisation sont introduites et analysées du point de vue de leur sensibilité aux variations de plusieurs paramètres. les méthodes théoriques de la photodiffusion sont proposées pour le calcul qui conduirait à une normalisation technique optimale, et al réalisation d'un capteur pour les mesuresin vivo de la saturation relative de l'oxygène sanguin est décrite.

Zusammenfassung

Die Diffusionsgleichungen für zufallsorientierte Photonen werden auf das Problem derin-vivo-Bestimmung der relativen Sauerstoffkonzentration im Blut angewandt. Ein Modell des lebenden Gewebes wird dargeboten. Die Lichtströme für durchgelassenes und zurückgestreutes Licht werden mit Bezug auf verschiedene Hauteigenschaften, auf den vom Blut eingenommenen Raum und die relative Sauerstoffkonzentration im Blut berechnet. Normierfunktionen werden eingeführt und hinsichtlich ihrer Empfindlichkeit auf die Änderung versciedener Parameter untersucht. Die fotodiffusionstheoretische Behandlung wird für Berechnungen vorgeschlagen, die optimale Normiermethoden und Wandler fürin vivo-Messungen der relativen Sauerstoffkonzentration im Blut ergeben sollen.

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Authors and Affiliations

  1. Electrical Engineering Department, The University of Connecticut, Storrs, Connecticut, U.S.A.

    Arnon Cohen

  2. Electrical Engineering Department, Carnegie-Mellon University, Pittsburgh, Pennsylvania, U.S.A.

    Richard L. Longini

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  1. Arnon Cohen
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  2. Richard L. Longini
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Cohen, A., Longini, R.L. Theoretical determination of the blood's relative oxygen saturationin vivo . Med. & biol. Engng. 9, 61–69 (1971). https://doi.org/10.1007/BF02474405

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  • DOI: https://doi.org/10.1007/BF02474405

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