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The changes in the nonlinear refractive of Bradford reagent caused by its binding to bovine serum albumin (BSA) were investigated in aqueous solutions. The nonlinear refractive index at the wavelength of 514 nm was measured using Z-scan Technique. The presence of BSA shows an increase of the nonlinear refractive index coefficient over Bradford reagent alone. The nonlinear refractive index the BSA was found to be linearly dependent on the concentration of the BSA. The nonlinear values n2 shows extended linearity over wide range of relatively high concentration. This extended linear range can be considered as an advantage over traditional absorption at peak value.

Albumin is mainly made in the liver and is the major protein in the plasma. It combines chemically with other compounds such as drugs and transports them through the blood and also keeps the blood from leaking out of the vessels. Change in albumin level in the plasma such as hypoalbuminemia suggests an inflammation, malnutrition, liver and kidney disease such as cirrhosis or nephritic syndrome [

Recently [^{+}-protein complexes. The Bradford assay however utilizes absorption shift from red unbound dye (465 nm) to blue complexed dye (594 nm) [

A sample preparation of albumin was prepared using 10 ml of distilled water added to 100 mg of Bovine Serum Albumin (BSA) supplied by Sigma-Aldrich. The sample was prepared at an optimized final concentration of 10 mg/ml.

Bradford reagent was prepared using 100 mg of Coomassie Brilliant Blue G-250 dissolved in 50 ml of 95% ethanol and 100 ml of 85% phosphoric acid. The final solution was diluted in water to a final volume of 1 litre [

Four samples of different concentration of albumin coupled to a constant Bradford reagent concentration were prepared. 1 ml of Bradford reagent was added to each blank tube. 5 μl from the original BSA sample and 5 μl of NaOH were added to the first tube. The same procedure is repeated using 10 μl, 15 μl and 20 μl of BSA and 10 μl, 15 μl and 20 μl of NaOH. The final Bovine Serum Albumin (BSA) concentrations were 4.95 × 10^{–3} g/dl, 9.80 × 10^{–3} g/dl, 14.56 × 10^{–3} g/dl, and 19.23 × 10^{–3} g/dl. The reason for choosing the above concentrations is to show the extended linear dependence of measured protein concentrations by Z-scan method over spectroscopic method (see below). The prepared samples were then analyzed using a UV-Vis spectrophotometer (SHIMADZU-UV-1800).

The Z-scan technique was used to measure the nonlinear refractive index. The experiment was performed with an air-cooled Ar ion laser beam operating at 514 nm with an average power of 40 mW. The beam was focused to a beam waist of 20 μm with a lens of 5 cm focal length, giving a typical power density of 6.3 × 10^{7} W/m^{2}. The sample was placed in a 1 mm path length quartz cuvette. The transmission from the sample was measured through an aperture (closed-aperture case) in the far-field of the lens, as the sample moved through the focal point. The difference between normalized peak-valley transmittance DT_{p}_{–v} is given by Eq.1:

where is the on-axis nonlinear phase shift at focus. Eq.2 defines S is the linear transmittance of the aperture:

where r_{a} is the radius of the aperture and W_{a} is the radius of the laser at the entrance of the aperture. Eq.3 gives the nonlinear phase shift:

where n_{2} is the nonlinear refractive index, P is the laser power, λ is the laser wavelength, w_{o} is the beam waist at focus and with a is linear absorption coefficient at 514 nm, L is the sample thickness and L_{eff} is the effective thickness of the sample.

The absorption spectra of the Bovine Serum Albumin (BSA) at different concentrations and Bradford reagent are shown

The normalized transmittance through closed aperture for the Bradford reagent and the Bovine Serum Albumin (BSA) at different concentrations values are shown in

This peak valley configuration implies that the nonlinear refractive index of solution is negative (n_{2} < 0). The changes of linear and nonlinear absorption properties are related to the concentration of BSA, Thus, the variation of the Z-scan transmission with concentration can be explained as follows: The localized absorption of the focused Gaussian beam by the sample produces a spatial distribution of the temperature in the sample solution which results in spatial variation of refractive index. This light induced change of refractive index can have considerable effect on the laser propagation in the nonlinear medium, which leads to the well known self action effect phenomena such as self defocusing, self focusing and self-phase modulation. Therefore, the observed nonlinear effect can be attributed to the thermal nonlinearity resulting from 514 nm absorption by the sample.

^{–3} g/dl and 19.23 × 10^{–3} g/dl and for Bradford reagent alone.

It can been seen from the figure as the concentration of Bovine Serum Albumin increases, the difference between normalized peak-valley transmittance ΔT_{p}_{–v} increases. _{p}_{–v} value is linearly increases with the concentration of Bovine Serum Albumin. The nonlinear refractive index (n_{2}) is calculated from the normalized transmittance value of ΔT_{p}_{–v} using eqs.1-3 for different values of albumin concentration. For each concentration the experiment is repeated three times and the mean values were calculated for ΔT_{p}_{–v}. These values are used for calculation of nonlinear refractive indices (n_{2}).

_{2}) linearly increases with concentration of BSA. The plotting of the measured nonlinear refractive index as a function of the concentration may be used for measurements of unknown total albumin content in

sample.

This can be achieved by measuring the nonlinear refractive index of the Bradford reagent alone and subtracted from the nonlinear values of the different concentration of albumin in the regent. However the total albumin concentration can be determine from the measuring ΔT_{p}_{–v} once the Z-scan experiment established.

An important point to be considered is that the calculation of n_{2} is not needed since the transmission change ΔT_{p}_{–v} is proportional to n_{2}. _{p}_{–v} variation for albumin Bradford complex at different concentration.

^{–3} g/dl. Typically, the limitations of the Bradford assay is a loss of linearity approaching 20 g/dl, often resulting in the