Translate this page into:
Viscometric study of lysozyme solution with sugar and urea at various temperatures
⁎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)
-
Received: ,
Accepted: ,
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.
d (−) Glucose + lysozyme + water Maltose + lysozyme + water 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 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 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 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).
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),
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.
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.
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.
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
References
- J. Chem. Soc. A 1971:2113-2116.
- Significant Liquid Structure. New York: John Wiley and Son; 1969.
- J. Chem. Soc. Faraday Trans.. 1974;70:795-806.
- Naturewissenschaften. 2000;87:108-121.
- J. Carbohydr. Chem.. 2005;24(3):261-273.
- J. Am. Chem. Soc.. 1929;51:2950-2964.
- Biophys. Chem.. 1990;36(1):71-76.
- Rheol. Acta. 1982;21:620-625.
- J. Am. Chem. Soc.. 1952;74:1287-1290.
- J. Pure Appl. Ultrason.. 1982;14:12-15.
- J. Chem. Eng. Data. 2010;55:2930-2934.
- Chin. J. Chem.. 2011;29(4):669-678.
- Siddique, J. A., Naqvi, S., 2011b. Int. J. Thermophys. (Accepted for publication). doi:10.1007/s10765-011-1111-y.
- Siddique, J. A., Sharma, S., Naqvi, S., (Communicated).
- J. Mol. Biol.. 1993;229(4):930-944.
- Physical Chemistry of Macromolecules. New York, N.Y.P.: John Wiley and Sons, Inc.; 1961. 329
- J. Chem. Soc. A 1968:2724-2728.
- Thermochim. Acta. 2001;375:1-7.