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* Departamento de Química, Faculdade de Ciências e Tecnologia, and
Laboratório de Bioquímica, Faculdade de Farmácia, Universidade de Coimbra, Coimbra, Portugal
Correspondence: Address reprint requests to Prof. Winchil L. C. Vaz, Departamento de Química, Universidade de Coimbra, 3004-535 Coimbra, Portugal. Tel.: 351-239-824861; Fax: 351-239-827703; E-Mail: wvaz{at}ci.uc.pt.
| ABSTRACT |
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3 x 106 M1 and a characteristic time
0.1 s. Association of NBD-DMPE with the lipoprotein particles, if considered as a partitioning of amphiphile monomers between the aqueous phase and the lipoprotein particles, is characterized by an equilibrium partition coefficient between 105 and 106, being highest for LDL and lowest for HDL. The association of NBD-DMPE monomers with lipoprotein particles can be described by insertion rate constants on the order of 105 M1 s1 for VLDL and LDL and 104 M1 s1 for HDL. The desorption rate constants are on the order of 105 s1 for all particles. The study was performed as a function of temperature between 15 and 35°C. This permitted the calculation of the equilibrium thermodynamic parameters (
Go,
Ho, and
So) as well as the activation parameters (
G
o,
H
o, and
S
o) for the insertion and desorption processes. The association equilibrium is dominated by the entropic contribution to the free energy in all cases. The results are discussed in relation to phospholipid and amphiphile exchange phenomena involving the lipoproteins. | INTRODUCTION |
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As stated in the preceding paragraph, study of the detailed kinetics of interaction of an amphiphile in aqueous solution with an organized lipid aggregate is hampered by the fact that the amphiphile tends to aggregate (form micelles, microcrystalline states, etc.) in aqueous solution and the aggregatemonomer equilibria can be complex processes that are usually poorly understood and very difficult, if not impossible, to resolve analytically. This problem becomes particularly relevant for those amphiphiles (phospholipids and their derivatives, long-chain fatty acids, and cholesterol in particular, but also xenobiotics) that form aggregates at very low concentrations in the aqueous phase. In recent work (Abreu et al., 2003
) we have developed a method that partly overcomes this difficulty. If the amphiphile binds strongly to a protein (such as serum albumin), the presence of this protein in the aqueous solution of the amphiphile results in a reduction of the free amphiphile concentration in the aqueous solution that is dependent upon the KB and the concentration of the protein. Effectively, the concentration of free amphiphile in the aqueous solution can be reduced to values where the only two species of amphiphile in the system are the monomer in aqueous solution and the protein-bound amphiphile (Vaz and Melo, 2001
). Removal of the monomer from the aqueous solution results in its being replenished from the protein-bound state and reasonably high concentrations of total amphiphile can be treated in this way. The detailed kinetics of this binding process can be studied to obtain the relevant molecular rate constants. If an organized lipid aggregate structure (bilayer vesicle, cell membrane fragment, or lipoprotein) is now added to the equilibrium solution of amphiphile and protein in which the amphiphile exists in aqueous solution exclusively as the monomer, the amphiphile monomers in the solution will associate with the lipid aggregate structure and the molecular rate constants for association with the lipid structure can be extracted from the kinetics. We have recently shown the applicability of this method in a detailed kinetic study of the association of the fluorescent derivative of a phospholipid, NBD-DMPE, with lipid bilayer membrane vesicles in the liquid-ordered and liquid-disordered phases (Abreu et al., 2004
).
In this work, we report on the association of NBD-DMPE with the surface phospholipidcholesterol monolayer of the lipoproteins (Chapman, 1986
; Gotto et al., 1986
) of VLDL (0.93 g mL1
1.006 g mL1), LDL (1.019 g mL1
1.063 g mL1), and HDL (HDL2, 0.063 g mL1
1.125 g mL1, and HDL3, 1.125 g mL1
1.210 g mL1). Equilibrium association constants for association of NBD-DMPE with lipoproteins, KL (M1), and the respective rate constants for the amphiphile insertion and desorption processes, k+ (M1 s1) and k (s1), respectively, were obtained as a function of temperature between 15 and 35°C. This permitted the calculation of the equilibrium thermodynamic parameters (
Go,
Ho, and
So) as well as the activation parameters (
G
o,
H
o, and
S
o) for the insertion and desorption processes. The results are discussed in comparison with similar results for the association, insertion and desorption of NBD-DMPE with/into/from lipid bilayer membranes (Abreu et al., 2004
) under similar conditions.
| MATERIALS AND METHODS |
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Lipoprotein fractions were obtained essentially as described by Vieira et al. (1996)
from human blood drawn from a volunteer (healthy male aged 26 years), after a 12 h fasting period, by venous puncture into heparinized tubes. HDL2 and HDL3 fractions were prepared from the total HDL fraction (Kostner and Alaupovic, 1972
; Schumaker and Puppione, 1986
). All lipoprotein preparations were sterilized by filtration through a 0.22 µm membrane filter (Millipore-Amicon).
After isolation of the lipoprotein fractions, the protein content of the samples was estimated by the method of Lowry et al. (1951)
, and the lipoprotein concentration was estimated from this by assuming mean aggregate masses and protein contents (Gotto et al., 1986
) for each of the lipoprotein fractions, as follows:
The purity of the lipoprotein fractions was verified by 0.5% agarose gel electrophoresis (Vieira et al., 1996
).
The kinetic and equilibrium characteristics of the association of NBD-DMPE to BSA have been described in detail elsewhere (Abreu et al., 2004
). The rate constants for the association, kB and kB, were obtained by stopped flow mixing using a HiTech model SF-61 thermostated stopped flow fluorimeter. The binding was characterized by an equilibrium binding constant, KB
3 x 106 M1, and characteristic times,
B
0.1 s.
Equilibrium titration of NBD-DMPE with lipoproteins
The equilibrium titration of NBD-DMPE with lipoproteins makes use of the fact that the relative fluorescence quantum yield of the amphiphile is different in aqueous solution, associated with BSA, and associated with lipoprotein, being highest in the last case and lowest in the first (see Fig. 1 A). 8 x 107 M NBD-DMPE was first equilibrated with 2 x 104 M BSA for a period of 16 h. Under these conditions >99% of the NBD-DMPE is bound to BSA. An aliquot of a lipoprotein suspension was then added to this solution to give a desired final lipoprotein concentration and the mixture was allowed to reach equilibrium over a period of 2448 h at a desired temperature. Typically the final concentrations of NBD-DMPE and BSA were 5 x 107 M and 1.3 x 104 M, respectively. Relative fluorescence quantum yield (emission intensity at 530 nm with excitation at 470 nm) was then measured at that temperature. Fig. 1, B and C show typical experimental titration curves. The value of KL was then obtained from these results from the best theoretical fit considering the simultaneous equilibria of NBD-DMPE with BSA and with the lipoproteins, KB being independently known as described above. It was possible to use this procedure with VLDL and LDL only. Incubation with HDL over long periods of time showed a slow process in which the relative fluorescence quantum yield of NBD-DMPE increased slowly in time. This process, for which we have no explanation, had a characteristic time >> 10 h but caused difficulties with reproducible equilibrium titration of NBD-DMPE with HDL. In this case, therefore, we obtained the values of KL from the analysis of kinetic curves of the transfer of NBD-DMPE from BSA to HDL making the assumption that the conversion factor,
that relates the measured fluorescence intensity to probe concentration was the same for HDL and LDL.
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| RESULTS |
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, that relates fluorescence intensity of lipoprotein-bound NBD-DMPE to its concentration. The equilibrium association constants for association of NBD-DMPE with lipoproteins at 35°C are tabulated in Table 1. In the case of HDL2 and HDL3 it was not possible to obtain the value of KL independently because of an unexplained slow process that was superimposed on the association equilibrium. The fluorescence intensity showed a tendency to rise continually at a rate that was very much slower than the association equilibrium. In this case we used the calculated
values obtained from an equilibrium titration of VLDL and LDL (identical within limits of error) and used the kinetic curves (see following section) to obtain the rate constants and, therefore, the corresponding association equilibrium constant.
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![]() | (1) |
A reviewer has correctly pointed out that this equation implies that [A]T = [A] + [ALP] and [LP]T = [LP] + [ALP] where [A]T and [LP]T are total concentrations of A and LP species, respectively. This representation would imply that LP is consumed in the course of the reaction, which is not the case. We have, therefore, modified the equation that describes the association equilibrium of NBD-DMPE with the lipoproteins as shown in scheme 1. It is intended here that k+[LP] is a pseudo first-order rate constant that includes the concentration of lipoprotein. As described in the text, [LP] does not change in the course of the reaction.) LP is not consumed in the reaction and its concentration in the reaction mixture is effectively constant since labeled LP particles are just as able to react with fresh A as unlabeled ones. This condition is satisfied as long as [ALP]/[LP] is not high enough to significantly affect the properties of the lipoprotein particles (a probe to surface-polar-lipid ratio of
0.01). As discussed elsewhere (Abreu et al., 2004
0.1 s) is very much shorter than the characteristic time for association with the lipoprotein particles (typically hours), the fast equilibrium approximation is valid and the complex kinetics of NBD-DMPE binding to BSA become irrelevant. The association equilibria are defined by the equilibrium association constants,
![]() | (2) |
![]() | (3) |
[B]T where [B]T is the total concentration of BSA, results in the following expressions for the time dependence of the concentration of each of the species of interest:
![]() | (4) |
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![]() | (5) |
The values of
were obtained as described earlier from the fits to the equilibrium titration curves. The experimental kinetic curves were fitted with theoretical curves described by scheme 5 using a least squares fitting procedure and the values of k+ and k were extracted from the best fits. We note that the only adjusting parameter in the case of the kinetic curves with LDL and VLDL was k+ since KL was independently known in this case. In the case of HDL2 and HDL3 it was not possible to obtain the values of KL independently so that in these cases both k+ and k had to be variable parameters in the fits to the kinetic curves. The results are listed, for 35°C in Table 1.
Temperature-dependence and energetics
The entire study (equilibrium titrations, kinetics) was performed as a function of temperature between 15 and 35°C. The temperature-dependence of KL for association of NBD-DMPE with VLDL, LDL, HDL2, and HDL3 are plotted as van't Hoff plots in Fig. 3. From these results we obtained the thermodynamic description in terms of
Go,
Ho, and T
So for the respective association processes. These are listed in Table 1. The kinetics of association was also studied as a function of temperature between 15 and 35°C and the respective activation energies and thermodynamic parameters of activation (
G
o,
H
o, and T
S
o) were calculated on the basis of transition state theory (Steinfeld et al., 1999
) from the respective Arrhenius plots shown in Fig. 4. The results for the activation energetics are also listed in Table 1.
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| DISCUSSION |
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A complete description of the association of amphiphiles with lipoproteins requires that the association and dissociation rate constants, the equilibrium constants, and the thermodynamic properties of the interaction be quantitatively defined. Such a definition requires that the temperature-dependence of at least two of the three parameters, namely, forward and reverse reaction rate constants and equilibrium association constant, be directly measured. Amphiphile aggregation in the aqueous phase complicates these measurements due to the complex kinetics of amphiphile monomeraggregate equilibria. Thus, experimental conditions have to be found in which the only free amphiphile species in aqueous solution that can interact with the lipoprotein surface in the reaction mixture is the monomer. This is particularly a problem for amphiphiles with a very low CAC (
108 M) such as phospholipids and their derivatives as well as cholesterol. Consequently, the number of reports in which the required two out of three variables have been directly measured for the interaction of phospholipids and their derivatives with lipoproteins or other lipid aggregates such as membranes is very limited (Nichols, 1985
; Abreu et al, 2003
, 2004
).
The use of simultaneous equilibria of an amphiphile in the aqueous phase between a lipoprotein and a protein that does not have a catalytic amphiphile-exchange function is one way to circumvent the problems involved (Abreu et al., 2003
). If the binding and dissociation rate constants and the equilibrium association constant(s) for amphiphile interaction with the protein are independently known, the protein concentration can be adjusted so that the only free amphiphile species in aqueous solution is the monomer. The direct measurement of the rate constants for transfer of the amphiphile to lipoproteins added to the mixture is then rather straightforward. An important aspect in this approach is that amphiphile transfer between the protein and the lipoproteins should not be a second order process involving a lipoprotein-protein complex as intermediate. BSA binds the amphiphilic phospholipid derivative, NBD-DMPE, rather strongly (KB
106 M1) so that 2 x 104 M BSA (
13 mg/mL) in the solution can reduce the free amphiphile concentration to <0.2% of its total concentration in the system. This reduces the free NBD-DMPE concentration in the aqueous phase under our experimental conditions to <2 x 109 M which is well below its CAC of
5 x 109 M (Abreu et al, 2004
). The methodology described makes it possible to use amphiphiles with a CAC in the 1010 M range. In previous work we had shown that the transfer of BSA-bound amphiphiles to membranes occurs via monomers in the aqueous phase and not through a collisional interaction between the amphiphile-loaded protein and the membrane (Abreu et al., 2003
). Since the lipoprotein surface is, in principle, not very different from that of a lipid bilayer, direct lipoprotein-BSA association may be excluded as a mechanism of bound amphiphile transfer from the protein to the lipoprotein or vice-versa.
Three factors have to be borne in mind when comparing the association of monomeric NBD-DMPE from the aqueous phase with the different lipoproteins, or its association with lipoproteins and phospholipid bilayer membranes. First, the different lipoprotein particles have very different diameters, from a maximum of
55 nm for VLDL to a minimum of
7 nm for HDL3. A typical large unilamellar vesicle has a diameter of
100 nm. Thus, the curvature of the polar lipid surfaces that these structures present to the aqueous phase are quite distinct from each other. Second, the polar surfaces of lipoproteins have associated proteins that are different and characteristic for each class of lipoproteins, and the density of surface-coverage by the proteins is likely to be quite different from one class of lipoproteins to another whereas the surface of an artificial lipid bilayer vesicle has no associated protein. This will certainly affect the kinetics of association but is not likely to affect the equilibrium state if it is assumed that NBD-DMPE behaves like a normal phospholipid in the surface layer and has no preferred interaction with a specific apolipoprotein. Third, the polar lipid composition of the surface layer is different for each class of the lipoproteins and the behavior of this layer will depend upon its phase characteristics. From the available lipid composition of the different lipoprotein classes (Chapman, 1986
), and assuming that all of the phospholipid and cholesterol is in the surface layers of the lipoproteins, it may be concluded that the surface layers of VLDL and LDL show a coexistence of a liquid-ordered phase (rich in sphingomyelin and cholesterol) and a liquid-disordered phase (rich in glycerophospholipids) (Simons and Vaz, 2004
). Cholesterol, in particular, possibly partition between the surface layers and the hydrophobic core of the lipoprotein particles although it is not known to what extent. This partitioning will reduce the equilibrium molar fraction of cholesterol in the surface layers. The consequences for VLDL and LDL surface layers will be to reduce the mass fraction of sphingomyelin- and cholesterol-rich liquid-ordered phase and in the HDL will probably result in a single liquid-disordered phase surface layer.
With the above precautions we may proceed to an analysis of the data presented in Table 1. Due to size differences between the lipoproteins, the kinetic rate constants, k+ and k, as well as the equilibrium association constants, KL, are not directly comparable with each other or with the values we have previously presented (Abreu et al., 2004
) for lipid bilayer vesicles. The use of the equilibrium partition coefficient, KP, eliminates this difficulty and the values of KP for the different lipoproteins and lipid bilayer vesicles (regardless of size) can be directly compared. As seen in Table 1, and intuitively expected, the equilibrium partition coefficients are roughly comparable for all the lipoproteins examined and are also comparable to the equilibrium partition coefficients between the lipid phase and the aqueous phase in suspensions of large unilamellar lipid vesicles in the liquid-disordered phase (Abreu et al., 2004
).
Because the rates of insertion of the amphiphile in the different lipid aggregates depend on the size of the aggregates, the values of k+ obtained for the different lipoproteins (this work) or lipid vesicles (Abreu et al., 2004
) are not directly comparable. The effect of size may, however, be taken into account if one considers the process to proceed via the formation of an encounter complex between both reactants as an intermediate between the aqueous and inserted amphiphile (Steinfeld et al., 1999
):
![]() | (6) |
The encounter complex, (ALP), is formed from A and LP with a diffusion-controlled rate constant, kdiff, and the two entities are held in close proximity by the solvent cage formed around them and by eventual interactions between their surfaces. This encounter complex is broken into the two free entities by diffusion with the rate constant kdiff. The rate constants kdiff and kdiff are given, respectively, as
![]() | (7a) |
![]() | (7b) |
![]() | (7c) |
Here, aeff is the sum of the radii of the amphiphile and the lipid aggregate, Deff is the effective translational diffusion coefficient, NA is the Avogadro constant,
H is energy of interaction between the two entities in the encounter complex, R is the ideal gas constant, T is the temperature, kB is the Boltzmann constant, and
is the viscosity of the medium (water in our case). During the lifetime of the encounter complex a reaction between the two species, such as insertion of the amphiphile into the lipid aggregate, may occur with a rate constant kin. The encounter complex is also formed when the amphiphile exits the lipid aggregate with the rate constant kout. As the aggregate size increases, the encounter complex lives longer and therefore the probability of insertion increases with the apparent increase of the bimolecular rate of insertion as given by scheme 6. The unimolecular rate of insertion, kin, is related to the experimentally measured bimolecular insertion rate constant, k+, for insertion of the amphiphile into the lipid surface from the aqueous phase, obtained assuming a fast equilibrium between the two entities and the encounter complex, by:
![]() | (7d) |
The unimolecular insertion rate, kin, calculated from scheme 7 d and assuming
H = 0, is presented in Table 2 for all the lipoproteins examined in this work and for large unilamellar vesicles (LUV) previously studied by us (Abreu et al., 2004
). Its value for VLDL is very similar to that for LUV of POPC and an equimolar mixture of POPC and cholesterol (14 vs. 7 and 8, respectively) reflecting the similarities of the surface properties of the lipid particles. As the size of the lipoprotein decreases, the curvature of the monolayer becomes significant. For LDL the ratio of the outer and inner surface of the lipid monolayer is 0.66 and it is <0.5 for HDL. As a consequence of this high curvature the free spaces at the monolayer increase and the insertion of the amphiphile is facilitated. The same effect is observed on the exit rate constant (easy in, easy out) resulting in a partition coefficient insensitive to the size of the lipid aggregate.
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In conclusion, we have examined the detailed kinetics and thermodynamics of the association of an amphiphilic phospholipid derivative, NBD-DMPE, with various lipoproteins. The process is very similar in almost all its characteristics with the association of the same amphiphile with lipid bilayer membranes prepared from 1-palmitoyl-2-oleoylphosphatidylcholine in the liquid-disordered and liquid-ordered phases. It must be noted here, and has been discussed in greater detail in recent work from our laboratory (Abreu et al., 2004
), that the liquid-disordered and liquid-ordered phase layers of 1-palmitoyl-2-oleoylphosphatidylcholine show only small differences in what concerns the kinetics and thermodynamics of NBD-DMPE association with them. The results reported here present, we believe for the first time, a complete description of the kinetics of the association of a lipid-derived amphiphile with lipoproteins that can serve as a generally predictive base for the association of other amphiphiles with these particles.
| ACKNOWLEDGEMENTS |
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| FOOTNOTES |
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, density (g mL1); BSA, fatty acid-free bovine serum albumin; CAC, critical aggregation (micelle) concentration; HDL, high density lipoprotein; KL, equilibrium association constant for the association of NBD-DMPE with lipoproteins particles; LDL, low density lipoprotein; NBD-DMPE, N-(7-nitrobenz-2-oxa-1,3-diazol-4-yl)-amino-1,2-dimyristoylphosphatidyl ethanolamine; VLDL, very low density lipoprotein. Submitted on June 5, 2004; accepted for publication September 20, 2004.
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