Mathematical model for determination of colloid osmotic pressure: The role of albumin-globulin ratio
Abstract
BACKGROUND: Colloid Osmotic Pressure (COP) is an important factor in the fluid balance of body compartments. COP is related to Total Protein (TP) concentration and Albumin: Globulin Ratio (A/G). The A/G was not included in pervious empirical models, and therefore the main objective of this study was to develop a mathematical model to determine the COP in terms of TP concentration and A/G.
METHODS: Sera with different A/G were prepared in-vitro, and COP was measured directly using colloid osmometer. The relationship between COP, TP concentration and A/G were determined mathematically. The validity of developed empirical models was confirmed by statistical comparison between measured and calculated COP in 122 serum samples obtained from hospitalized patients and healthy individuals.
RESULTS: By non-linear regression, the following relationships were found between COP, TP concentration and A/G. All coefficients were statistically significant (p<0.05): COP = (4.0814 A/G TP)/(A/G + 0.0153 TP); r2 = 0. 91272.
COP = [5.3192 A/G -2.2252 (A/G)2 + 0.2939 (A/G)3] TP; r2 = 0.94737 No significant differences were indicated between measured COP and calculated one in clinical data.
CONCLUSIONS: The variation of A/G may be the most effective factor for the differences between calculated and measured COP. This parameter must be considered when the direct measurement of COP is unavailable.
KEY WORDS: Mathematical model, colloid osmotic pressure, oncotic pressure, albumin-globulin ratio.
METHODS: Sera with different A/G were prepared in-vitro, and COP was measured directly using colloid osmometer. The relationship between COP, TP concentration and A/G were determined mathematically. The validity of developed empirical models was confirmed by statistical comparison between measured and calculated COP in 122 serum samples obtained from hospitalized patients and healthy individuals.
RESULTS: By non-linear regression, the following relationships were found between COP, TP concentration and A/G. All coefficients were statistically significant (p<0.05): COP = (4.0814 A/G TP)/(A/G + 0.0153 TP); r2 = 0. 91272.
COP = [5.3192 A/G -2.2252 (A/G)2 + 0.2939 (A/G)3] TP; r2 = 0.94737 No significant differences were indicated between measured COP and calculated one in clinical data.
CONCLUSIONS: The variation of A/G may be the most effective factor for the differences between calculated and measured COP. This parameter must be considered when the direct measurement of COP is unavailable.
KEY WORDS: Mathematical model, colloid osmotic pressure, oncotic pressure, albumin-globulin ratio.