Determining the refractive index of human hemoglobin solutions by Kramers-Kronig relations with an improved absorption model.

The real part of the refractive index of aqueous solutions of human hemoglobin is computed from their absorption spectra in the wavelength range 250-1100 nm using the Kramers-Kronig (KK) relations, and the corresponding uncertainty analysis is provided. The strong ultraviolet (UV) and infrared absorbance of the water outside this spectral range were taken into account in a previous study employing KK relations. We improve these results by including the concentration dependence of the water absorbance as well as by modeling the deep UV absorbance of hemoglobin's peptide backbone. The two free parameters of the model for the deep UV absorbance are fixed by a global fit.

[1]  A. Kummrow,et al.  Establishing traceability of photometric absorbance values for accurate measurements of the haemoglobin concentration in blood , 2013 .

[2]  J. Hedley-Whyte,et al.  Optical rotatory dispersion of hemoglobin and polypeptides. Effect of halothane. , 1971, The Journal of biological chemistry.

[3]  E. Evans,et al.  Elastic thickness compressibilty of the red cell membrane. , 2001, Biophysical journal.

[4]  Alexandre Douplik,et al.  Refractive index of solutions of human hemoglobin from the near-infrared to the ultraviolet range: Kramers-Kronig analysis , 2012, Journal of biomedical optics.

[5]  M. H. Metz,et al.  Flow-cytometric light scattering measurement of red blood cell volume and hemoglobin concentration. , 1985, Applied optics.

[6]  YongKeun Park,et al.  Profiling individual human red blood cells using common-path diffraction optical tomography , 2014, Scientific Reports.

[7]  M. Friebel,et al.  Determination of the complex refractive index of highly concentrated hemoglobin solutions using transmittance and reflectance measurements. , 2005, Journal of biomedical optics.

[8]  R. Barer,et al.  Refractometry of Living Cells Part I. Basic Principles , 1954 .

[9]  P. R. O'Bar,et al.  Absorption of Proteins and Peptides in the Far Ultraviolet , 1970, Science.

[10]  H. Arwin,et al.  Optical Properties of Thin Layers of Bovine Serum Albumin, γ-Globulin, and Hemoglobin* , 1986 .

[11]  M. Daimon,et al.  Measurement of the refractive index of distilled water from the near-infrared region to the ultraviolet region. , 2007, Applied optics.

[12]  Ethan Schonbrun,et al.  Quantitative absorption cytometry for measuring red blood cell hemoglobin mass and volume , 2014, Cytometry. Part A : the journal of the International Society for Analytical Cytology.

[13]  D H Tycko,et al.  Accurate and independent measurement of volume and hemoglobin concentration of individual red cells by laser light scattering. , 1986, Blood.

[14]  Joseph M. Martel,et al.  Three-Dimensional Holographic Refractive-Index Measurement of Continuously Flowing Cells in a Microfluidic Channel. , 2014, Physical review applied.

[15]  Michael S. Feld,et al.  Spectroscopic phase microscopy for quantifying hemoglobin concentrations in intact red blood cells , 2010, BiOS.

[16]  W. Helfrich,et al.  Red blood cell shapes as explained on the basis of curvature elasticity. , 1976, Biophysical journal.

[17]  Ton G van Leeuwen,et al.  Oxygen saturation-dependent absorption and scattering of blood. , 2004, Physical review letters.

[18]  A. Goldfarb,et al.  The ultraviolet absorption spectra of proteins. , 1951, The Journal of biological chemistry.

[19]  Louise Poissant Part I , 1996, Leonardo.

[20]  M. Friebel,et al.  Model function to calculate the refractive index of native hemoglobin in the wavelength range of 250-1100 nm dependent on concentration. , 2006, Applied optics.

[21]  D. J. Segelstein The complex refractive index of water , 1981 .

[22]  G. Braunitzer THE MOLECULAR WEIGHT OF HUMAN HAEMOGLOBIN. , 1965, Bibliotheca haematologica.

[23]  Y. Sugita,et al.  Circular dichroism of hemoglobin in relation to the structure surrounding the heme. , 1971, The Journal of biological chemistry.

[24]  G. D. Vries,et al.  Numerical evaluation of Kramers—Kronig relations , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.