Diffusion model of the optical absorbance of whole blood.

Photon-diffusion theory has had limited success in modeling the optical transmittance of whole blood. Therefore we have developed a new photon-diffusion model of the optical absorbance of blood. The model has benefited from experiments designed to test its fundamental assumptions, and it has been compared extensively with transmittance data from whole blood. The model is consistent with both experimental and theoretical notions. Furthermore, when all parameters associated with a given optical geometry are known, the model needs no variational parameters to predict the absolute transmittance of whole blood. However, even if the exact value of the incident light intensity is unknown (which is the case in many situations), only a single additive constant is required to scale experiment to theory. Finally, the model is shown to be useful for simulating scattering effects and for delineating the relative contributions of the diffuse transmittance and the collimated transmittance to the total optical density of whole blood. Applications of the model include oximetry and measurements of the arteriovenous oxygen difference in whole, undiluted blood.

[1]  A. P. Shepherd,et al.  A microcomputer oximeter for whole blood. , 1983, The American journal of physiology.

[2]  Akira Ishimaru,et al.  Scattering and diffusion of a beam wave in randomly distributed scatterers , 1983 .

[3]  S Chien,et al.  Hematocrit determination in small bowel bore tubes from optical density measurements under white light illumination. , 1980, Microvascular research.

[4]  A. P. Shepherd,et al.  Diffuse Reflectance of Whole Blood: Model for a Diverging Light Beam , 1987, IEEE Transactions on Biomedical Engineering.

[5]  Norman J. McCormick,et al.  Approximate two-parameter phase function for light scattering , 1980 .

[6]  V. Twersky Absorption and multiple scattering by biological suspensions. , 1970, Journal of the Optical Society of America.

[7]  A. P. Shepherd,et al.  Evaluation of Light-Emitting Diodes for Whole Blood Oximetry , 1984, IEEE Transactions on Biomedical Engineering.

[8]  J O ELAM,et al.  Influence of oxygen saturation, erythrocyte concentration and optical depth upon the red and near-infrared light transmittance of whole blood. , 1951, The American journal of physiology.

[9]  A Ishimaru,et al.  Diffuse reflectance from a finite blood medium: applications to the modeling of fiber optic catheters. , 1976, Applied optics.

[10]  J M Steinke,et al.  Reflectance measurements of hematocrit and oxyhemoglobin saturation. , 1987, The American journal of physiology.

[11]  R. J. Zdrojkowski,et al.  Optical transmission and reflection by blood. , 1970, IEEE transactions on bio-medical engineering.

[12]  R. F. Graesser AN EXPERIMENTAL DETERMINATION OF e , 1947 .

[13]  N J McCormick,et al.  Transport calculations for light scattering in blood. , 1976, Biophysical journal.

[14]  N. M. Anderson,et al.  STUDIES ON THE LIGHT TRANSMISSION OF NONHEMOLYZED WHOLE BLOOD. DETERMINATION OF OXYGEN SATURATION. , 1965, The Journal of laboratory and clinical medicine.

[15]  James D. Meindl,et al.  An Integrated Circuit-Based Optical Sensor for In Vivo Measurement of Blood Oxygenation , 1986, IEEE Transactions on Biomedical Engineering.

[16]  A. P. Shepherd,et al.  Role of Light Scattering in Spectrophotometric Measurements of Arteriovenous Oxygen Difference , 1986, IEEE Transactions on Biomedical Engineering.

[17]  V. Twersky,et al.  Interface Effects in Multiple Scattering by Large, Low-Refracting, Absorbing Particles* , 1970 .

[18]  Application of invariant imbedding for the study of optical transmission and reflection by blood: Part II. Application. , 1974, Indian journal of biochemistry & biophysics.

[19]  Z. Kam,et al.  Absorption and Scattering of Light by Small Particles , 1998 .

[20]  A. P. Shepherd,et al.  Role of Light Scatterng in Whole Blood Oximetry , 1986, IEEE Transactions on Biomedical Engineering.

[21]  T. Lincoln,et al.  Angiotensin decreases cyclic GMP accumulation produced by atrial natriuretic factor. , 1987, The American journal of physiology.

[22]  A. Żardecki,et al.  Off-axis propagation of a laser beam in low visibility weather conditions. , 1980, Applied optics.

[23]  P. Kubelka,et al.  New Contributions to the Optics of Intensely Light-Scattering Materials. Part I , 1948 .

[24]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[25]  D. M. Stupin,et al.  Off-axis multiple scattering of a laser beam in turbid media: comparison of theory and experiment. , 1987, Applied optics.

[26]  P. Kubelka,et al.  Errata: New Contributions to the Optics of Intensely Light-Scattering Materials. Part I , 1948 .

[27]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .