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Original article
9 (
2_suppl
); S1040-S1043
doi:
10.1016/j.arabjc.2011.11.006

Viscometric study of lysozyme solution with sugar and urea at various temperatures

Department of Chemistry, Aligarh Muslim University, Aligarh 202 002, UP, India
Department of Nano Bio Materials and Electronics (WCU), School of Material Science and Engineering, Gwangju Institute of Science and Technology (GIST), Gwangju, Republic of Korea

⁎Corresponding author. Address: Department of Chemistry, Faculty of Science, Aligarh Muslim University, Aligarh 202 002, UP, India. Tel.: +91 571 2721741. drsaeedanaqvi@gmail.com (Saeeda Naqvi)

Disclaimer:
This article was originally published by Elsevier and was migrated to Scientific Scholar after the change of Publisher.

Peer review under responsibility of King Saud University.

Abstract

This paper presents the results of viscosity measurement of three ternary systems i.e.

  1. d (−) Glucose + lysozyme + water

  2. Maltose + lysozyme + water

  3. Urea + lysozyme + water

at temperatures (293.15, 303.15, 313.13 and 323.15 K) at various concentrations of glucose, maltose and urea. Change in entropy (ΔH), enthalpy (ΔS) and free energy of activation (ΔG) have also been evaluated for these systems. Value of B-coefficient of d (−) glucose, maltose and urea has also been calculated from viscosity data in aqueous lysozyme solution. Viscosity B-coefficients of glucose and maltose in aqueous lysozyme solution are positive while that of the urea–lysozyme water system it is negative due to the structure breaking effect of urea. The values of entropy of activation are negative due to attainment of transition state for viscous flow, which is accompanied by bond formation and increase in order.

Keywords

B-Coefficient
Entropy
Lysozyme
Sugar
Urea
Viscosity
1

1 Introduction

The native conformation of a protein is produced by a delicate balance between covalent bonds and noncovalent bonds such as hydrogen bonds, electrostatic interactions and hydrophobic interactions. Therefore, its conformation usually depends not only on temperature and pressure but also on the nature of the solvent, such as its polarity and dielectric constant. Hen egg white lysozyme is a well-known enzyme that acts as a glycoside hydrolase. This small globular protein consists of two functional domains located on each side of the active site cleft and contains both helices and regions of β sheet, together with loop regions, turns and disulfide bridges (Smith et al., 1993).

Very little attention has been paid to the viscosity of lysozyme aqueous solutions (Lefebure, 1982) and data of viscosity of lysozyme in mixed aqueous solutions are rare. Recently, attention has been paid, in particular, to the rich conformational variety of carbohydrates (Gabius, 2000; Hindley et al., 2005; Waris et al., 2001). Viscosity of egg-white lysozyme was measured in the presence of carbohydrate additives in reaction medium. These additives show a significant affinity for water. They depress water activity and increase the viscosity of the medium (Lamy et al., 1990). Solute–solvent interactions in aqueous solutions of the additives are characterized by B-coefficient.

The present work is a continuation of our research program on the thermodynamic studies on ternary systems (Siddique and Naqvi, 2010, 2011a). In this work viscosity measurements have been carried on sugars (d-glucose and maltose) and urea + aqueous lysozyme solutions (keeping the concentration of aqueous lysozyme solution (0.15 milli-molal) constant) at different temperatures (293.15, 303.15, 313.15 and 323.15 K) for different concentrations of sugar and urea to understand the increased or decreased stability of lysozyme in the presence of sugars and urea, respectively.

Heating of protein in solution can lead to aggregation, gelation, denaturation and thermal expansion, etc; depending upon the temperature range. The solute–solvent, solvent–solvent and solute–solute interactions in a protein solution undergo substantial changes upon exposure to different temperatures that bring about the observable physical change in the protein solution. As the thermal environment is altered, the Gibbs free energy, ΔG of the system changes, altering the physical state of the protein for which ΔG is minimized.

2

2 Materials and methods

Lysozyme (⩾99%) obtained from SIGMA–ALDRICH CHEMIE Gmbh Steimhein, Germany, was used for sample preparation. Sugars viz. d-glucose (⩾99%) and maltose (⩾99%) were obtained from Qualigans fine chemicals (a division of Glaxo Smith Kline Pharmaceuticals Limited, Mumbai). Urea crystal (⩾98%) extra pure was obtained from Merck Limited Worli, Mumbai. All solvents and chemicals were of analytical grade. These chemicals were used without further purification. The triply distilled water (with the specific conductivity of 1.29 × 10−6 Ω−1 cm−1) was used for making lysosome, sugars and urea stock solutions. All the solutions were stored in special airtight bottles to avoid exposure of solutions to air and evaporations.

The viscosity measurements were performed using an Ubbelohde-type capillary viscometer (Tanford, 1961). The working procedure is described elsewhere (Siddique and Naqvi, 2011b). The uncertainties in viscosity measurements have been found to be within ±0.003 mPa s. The densities required for the calculation of viscosity values of the solutions were taken from our earlier studies (Siddique et al., communicated) (unpublished data).

The triplicate reproducibility was established during the entire experimental work. The thermostatic paraffin bath (JULABO, Model-MD Germany) used during the measurements of density and viscosity was maintained at desired temperature (±0.02 K) for about 30 min prior to the record of reading at each temperature of study. The weighing was done on electronic balance (model: GR-202R, AND, Japan) with the precision of ±0.01 mg. The uncertainty in molal concentration values is found to be within 1.0 × 10−4 mol kg−1.

3

3 Results

The experimental values of viscosity (η) are measured at different temperatures for lysozyme in aqueous and in sugar and urea solutions. These data are used to calculate the relative viscosity, (ηr) by the relation given below; (Jones and Dole, 1929; Tyrell and Kennerly, 1968; Devine and Lowe, 1971).

(1)
η r = η / η 0 = 1 + BC where C is the concentration (mol kg−1), B is Jones–Dole viscosity coefficient, η and η0 are the viscosities of solution and solvent, respectively, ηr is the relative viscosity of the solution.

The B-coefficient values of the solute are obtained by the least-squares procedure. B-Coefficient is the measure of order or disorder introduced by the solute into solvent structure. This constant is specific and is an approximately additive property of ions of an electrolyte at a given temperature, although no satisfactory theoretical treatment has yet been given.

Viscosity data have also been used for the calculation of solute activation parameters (Pandey and Prakash, 1982). The free energy of activation (ΔG) for viscous flow is given by Eyring viscosity equation (Eyring and John, 1969),

(2)
η = ( h N / V m ) e ( Δ G / RT ) where h is the Planck's constant, N is Avagadro's number, R is the universal gas constant and Vm is the molar volume of the mixture. Molar volume of the mixture has been calculated from the corresponding mixture densities (Siddique et al., communicated) (unpublished data) by the following relation;
(3)
V m = X i M i / ρ , i = 1 , 2 , 3 , !
The energies of activation (ΔG) for viscous flow of the solute at different temperatures are obtained by using following equation;
(4)
Δ H = Δ G + T Δ S
where ΔH and ΔS are the enthalpy and entropy of activation for the viscous flow of solute, respectively. From equations below we get the value of ΔG,
(5)
Δ G = RT ln ( η V m / hN ) = Δ H - T Δ S
The values of ΔH and ΔS can be obtained by least squares fitting. ΔS is the corresponding experimental slope of RTln (ηVm/hN) vs temperature plots.

4

4 Discussions

Viscosities of sugars + aqueous lysozyme and urea + aqueous lysozyme systems are shown in Table 1 for different molalities of solute at different temperatures. The increase in concentration of solute increases the viscous behavior of the solution due to an increase in number of solute molecules, which causes more frictional resistance to the flow. But when we observed in case of urea in lysozyme solution, viscosity first decreases for lower concentration of urea (from 0.02 to 0.06 mol/kg) and then it gradually increases on further increase in concentration of urea. Therefore, we may conclude that at lower concentration of urea, its structure breaking effect is more pronounced while at higher concentrations it shows opposite behavior.

Table 1 Viscosities (η), RTln(ηVm/hN) and free energies of activation (ΔG) of glucose, maltose and urea in 0.15 × 10−3 molal (m) lysozyme solution as functions of concentration and temperature.
Temperature 293.15 K
d (−) Glucose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0810 0.1010
η × 104/Kg m−1 s−1 1.0139 1.0351 1.0456 1.0532 1.0622 1.0713
RTln(ηVm/hN)/kJ mol−1 57.0905 58.2979 59.1402 59.7486 60.2414
ΔG/kJ mol−1 57.0649 58.2733 59.1208 59.7247 60.2594
Maltose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0820 0.1030
η × 104/Kg m−1 s−1 1.1039 1.0869 1.1035 1.1188 1.1248 1.1339
RTln(ηVm/hN)/kJ mol−1 58.3924 59.8155 60.7599 61.4314 61.9666
ΔG/kJ mol−1 58.3120 59.7367 60.6698 61.3496 61.8982
Urea + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000
η × 104/Kg m−1 s−1 1.0139 1.0622 1.0450 1.0374 1.0420 1.0435
RTln(ηVm/hN)/kJ mol−1 55.8936 56.5842 57.1016 57.5747 57.9667
ΔG/kJ mol−1 55.7972 56.4903 57.0413 57.5210 57.9084
Temperature 303.15 K
d (−) Glucose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0810 0.1010
η × 104/Kg m−1 s−1 0.8071 0.8335 0.8421 0.8507 0.8563 0.8619
RTln(ηVm/hN)/kJ mol−1 58.5032 59.7521 60.6304 61.2547 64.7592
ΔG/kJ mol−1 58.4938 59.7460 60.6255 61.2570 61.8102
Maltose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0820 0.1030
η × 104/Kg m−1 s−1 0.8071 0.8197 0.8308 0.8405 0.8563 0.8660
RTln(ηVm/hN)/kJ mol−1 59.6787 61.1516 62.1227 62.8506 63.4121
ΔG/kJ mol−1 59.7378 61.253 62.2038 62.9219 63.4868
Urea + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000
η × 104/Kg m−1 s−1 0.8017 0.8276 0.8019 0.7975 0.8019 0.8005
RTln(ηVm/hN)/kJ mol−1 57.1265 57.8209 58.3977 58.8897 59.2870
ΔG/kJ mol−1 57.1320 57.8587 58.4367 58.9300 59.3304
Temperature 313.15 K
d (–) Glucose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0810 0.1010
η × 104/Kg m−1 s−1 0.6619 0.6868 0.6937 0.7036 0.7091 0.7190
RTln(ηVm/hN)/kJ mol−1 59.9399 61.2293 62.1470 62.7950 63.3353
ΔG/kJ mol−1 59.9227 61.2187 62.1301 62.7894 63.3609
Maltose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0820 0.1030
η × 104/Kg m−1 s−1 0.6619 0.6757 0.6924 0.7003 0.7218 0.7267
RTln(ηVm/hN)/kJ mol−1 61.1600 62.7052 63.7076 64.4897 65.0580
ΔG/kJ mol−1 61.1636 62.7140 63.7378 64.4942 65.0754
Urea + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000
η × 104/Kg m−1 s−1 0.6619 0.6676 0.6524 0.6554 0.6628 0.6584
RTln(ηVm/hN)/kJ mol−1 58.4625 59.2020 59.8241 60.3472 60.7449
ΔG/kJ mol−1 58.4668 53.2272 59.8320 60.3391 60.7524
Temperature 323.15 K
d (−) Glucose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0810 0.1010
η × 104/Kg m−1 s−1 0.5560 0.5685 0.5736 0.5818 0.5914 0.6010
RTln(ηVm/hN)/kJ mol−1 61.3556 62.6833 63.6304 64.3222 64.8857
ΔG/kJ mol−1 61.3517 62.6915 63.6347 64.3217 64.9116
Maltose + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0610 0.0820 0.1030
η × 104/Kg m−1 s−1 0.5560 0.5633 0.5780 0.5988 0.6122 0.6197
RTln(ηVm/hN)/kJ mol−1 62.6348 64.2319 65.3308 66.1161 66.7170
ΔG/kJ mol−1 62.5893 64.2026 65.2717 66.0664 66.6641
Urea + aqueous lysozyme
m/mol kg−1 0.0000 0.0200 0.0400 0.0600 0.0800 0.1000
η × 104/Kg m−1 s−1 0.5560 0.5528 0.5467 0.5482 0.5484 0.5488
RTln(ηVm/hN)/kJ mol−1 59.8320 60.6272 61.2642 61.7738 62.2021
ΔG/kJ mol−1 59.8015 60.5956 61.2274 61.7481 62.1743

The increase in the concentration of solute in solution contributes positively to the viscosity B-coefficient. On the other hand, breaking of the solvent structure by solute causes a decrease in the viscosity. This contributes negatively to the B-coefficient. Thus, B-coefficient is the resultant of these two opposite forces (Mason et al., 1952). Therefore, the urea molecules exhibiting negative B-coefficient have been assumed to exert a structure breaking effect on the solvent while glucose and maltose exhibit effect on the solvent with positive B-coefficient and, thus, have structure-making effect on the solvent.

It has been observed (Table 2) that all the values of viscosity B-coefficient for saccharides are positive and in aqueous lysozyme solution, these values are greater for maltose than for glucose. B-Coefficient depends directly on size, shape and charge of the solute molecules, and maltose has two glucose units joined by α-1,4-glucosidic linkage. Therefore, the order is B (glucose) < B (maltose). It is noteworthy that the B (maltose) is not twice as large as that of is B (d-glucose), indicating that the formation of α-1,4-linkage reduces the structure making effects of saccharides.

Table 2 B-Coefficient (B/dm3 mol−1) of glucose, maltose and urea in 0.15 × 10−3 molal lysozyme as functions of temperature.
T/K d-Glucose Maltose Urea
293.15 0.4400 0.5675 −0.2000
298.15 0.5895 0.8420 −0.2215
303.15 0.4390 0.7320 −0.3350
308.15 0.6235 0.9525 −0.0750
313.15 0.6030 0.9940 −0.0600
318.15 0.5975 1.0885 −0.0775
323.15 0.7445 1.3215 −0.0685

According to Feakin's model (Feakins et al., 1974) greater the value of ΔG, the greater is the structure making ability of solute. A perusal of Table 1 shows that ΔG increases with increase in temperature. This, thereby, indicates that the structure making ability of solute increases with temperature. Negative values of ΔS (Table 3) suggest that the attainment of transition state for viscous flow is accompanied by bond formation and increase in order.

Table 3 Entropy (ΔS/kJ mol−1 K−1) and enthalpy (ΔH/kJ mol−1) of glucose, maltose and urea in 0.15 × 10−3 molal lysozyme solution as a function of concentration.
m/mol kg−1 ΔS ΔH
d (−) Glucose
0.0200 −142.8914 15.1763
0.0400 −147.2714 15.1007
0.0610 −150.4643 15.0122
0.0810 −153.2364 14.8034
0.1010 −155.0729 14.7998
Maltose
0.0200 −142.5779 16.5153
0.0400 −148.8643 16.0971
0.0610 −153.3957 15.7019
0.0820 −157.2271 15.2585
0.1030 −158.8636 15.3273
Urea
0.0200 −133.4771 16.6684
0.0400 −136.8436 16.3746
0.0600 −139.5357 16.1364
0.0800 −140.9043 16.2149
0.1000 −142.1950 16.2240

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