Quantification of albumin and γ-globulin concentrations by multivariate regression based on admittance relaxation time distribution (mrARTD).

Abstract

Albumin andγ-globulin concentrations in subcutaneous adipose tissues (SAT) have been quantified by multivariate regression based on admittance relaxation time distribution (mrARTD) under the fluctuated background of sodium electrolyte concentration. ThemrARTD formulatesP=Ac+Ξ(P: peak matrix of distribution function magnitudeγˆand relaxation timesτˆ,c: concentration matrix of albuminc_Alb,γ-globulin_Gloc, and sodium electrolyte^Nac,A: coefficient matrix of a multivariate regression model, andΞ: error matrix). ThemrARTD is implemented by two processes which are: (1) the training process ofAthrough the maximum likelihood estimation ofPand (2) the quantification process ofc_Alb,_Gloc, and^Nacthrough the model prediction. In the training process, a positive correlation is present betweenc_Alb,_Gloc, and^Nactoγˆ₁atτˆ₁= 0.1 as well asγˆ₂atτˆ₂= 1.40 μs as under a fixed concentration of proteins solution into a porcine SAT (c_Alb= 0.800-2.400 g/dL,_Gloc= 0.400-1.200 g dl^-1and^Nac= 0.700-0.750 g dl^-1). ThemrARTD method quantifiesc_Alb,_Gloc, and^Nacin SAT with an absolute error of 33.79%, 44.60%, and 2.18%, respectively.