Introduction

Cyclodextrins (CDs), the cyclic oligosaccharides, have recently been recognized as useful pharmaceutical excipients. The most common are natural, cyclic oligosaccharides containing six (α-cyclodextrin: α-CD), seven (β-cyclodextrin: β-CD) or eight (γ-cyclodextrin: γ-CD) α-1,4-linked glucopyranose units, with a hydrophilic hydroxyl group on their outer surface and a hydrophobic cavity in the center.

The CDs, dependent on the arrangement of their functional groups leading to the formation of a relatively hydrophilic outside and hydrophobic internal cavity, possess the ability to form inclusion complexes with many drugs by taking up a whole drug molecule, or some part of it, into the cavity. The complexation depends largely on the dimensions of the CDs and the particular sterical arrangement of its functional groups. Driving forces of the complexation process are both Van der Waals interactions and hydrophobic effect. In addition, hydrogen bonds at the rim of the cavity may also play a certain role [1, 2].

The complexation depends on the phase in which it takes place. In the solid state, guest molecules can be enclosed within the cavity or may be aggregated to the outside of the CD molecule, while in the liquid state (a solution), we deal with an equilibrium between complexed and non-complexed guest molecules.

One of the most interesting properties of CDs is the formation of inclusion complexes with a wide variety of guest molecules. The CDs inclusion complexes affect many physicochemical properties of their quests, such as aqueous solubility and rate of dissolution. The successful enhancing of the solubility of poorly water-soluble drugs belongs to the most important application of such complexes [36].

A guest molecule changes its physicochemical properties when it is incorporated within the CD cavity. The techniques used for characterization of inclusion complexes formed between the guest and CD molecules can be divided into two groups depending on the complex state (solid or liquid—solution) [7]. One of the very useful techniques for characterization of inclusion complexation in solution is microcalorimetry. It detects changes in thermodynamic properties (enthalpy and entropy) due to inclusion complexation. These changes are associated with the change in the behavior of water structure within the cavity, removal of water from the cavity, restructuring of water around the guest molecule and release of water into the bulk.

The aim of this work, which is a part of a big project concerning investigation of complexes formed by drugs and CDs [8], is the isothermal titration calorimetry (ITC) study of inclusion complexes formed by natural CDs (α-CD and β-CD) with three tropane alkaloids: scopolamine, homatropine hydrobromide and atropine sulfate.

The ITC method has been widely used for characterization of drug inclusion complexes with natural CDs [916], but none of the experiments have dealt with the investigated drugs.

Inclusion complexes of β-CD with scopolamine have been studied (1H-NMR) by Blaschke et al. [17], but in the literature there is the lack of direct information concerning thermodynamic properties of the studied complexes.

Experimental

Materials and solutions

All CDs were provided by Wacker Chemie AG (Germany) and were of pharmaceutical grade (α-CD: Cavamax W6 Pharma; β-CD: Cavamax W7 Pharma). Before experiments, they were dried in vacuum drier SPU-200 (ZUT COLECTOR, Poland) for 24 h.

All the drugs, i.e., scopolamine, homatropine hydrobromide and atropine sulfate, were supplied by Sigma (Steinheim, Germany). They were of analytical grade and for the experiments were used as received.

For the calorimetric experiments, both CDs and drugs were dissolved in water and degassed. The initial concentrations of the all CDs were equal to 1.5 mM and the alkaloids to 30 mM.

Methods

ITC measurements were taken at 298.15 K on a MicroCal OMEGA ultrasensitive titration calorimeter (MicroCal Inc.). The parameters of the titration (the number—31, volume—8 μL and length of time of injections) were input into the software program controlling data. The aqueous solutions in the cell were stirred by the syringe at 400 rpm. The volume of a titrant was injected over 30 s with an interval of 240 s between injections from a 250-μL injection syringe into the sample cells (containing CDs) in a series of controlled pulses. The sample cell volume was 1.3611 mL. The integrated heat effects of each injection were corrected by subtraction of the corresponding integrated heat effects of dilution of the drug and the cyclodextrin, respectively, i.e., heat effect of injection of drug solution to the water and heat effect of water injection to the cyclodextrin solution.

The experimental data obtained from the calorimetric titration were analyzed on the basis of the model of a single set of identical sites (ITC Tutorial Guide).

Results

Isothermal titration calorimetry experiments have been performed at 298.15 K for the six, mentioned above, following systems:

  1. 1.

    α-cyclodextrin + scopolamine,

  2. 2.

    α-cyclodextrin + homatropine hydrobromide,

  3. 3.

    α-cyclodextrin + atropine sulfate,

  4. 4.

    β-cyclodextrin + scopolamine,

  5. 5.

    β-cyclodextrin + homatropine hydrobromide,

  6. 6.

    β-cyclodextrin + atropine sulfate.

To ensure the accuracy of the results, each ITC experiment was repeated five times with the difference between the obtained equilibrium constants in each measurement <3 %.

The obtained results of the ITC experiments are given in Table 1 and Figs. 1 and 2. Table 1 shows the equilibrium constants (K) and enthalpies of complex formation (ΔH) calculated by the model of a single set of identical sites (ITC Tutorial Guide) for all the investigated inclusion complexes, and Figs. 1 and 2 present the curve fitting of the enthalpy of complex formation for selected systems.

Table 1 Equilibrium constants (K) and enthalpy of complex formation (ΔH) for all the investigated inclusion complexes
Fig. 1
figure 1

ITC result for a titration of a β-cyclodextrin water solution against scopolamine water solution. Axis X: “molar ratio” means “β-cyclodextrin:scopolamine molar ratio”

Fig. 2
figure 2

ITC result for a titration of a β-cyclodextrin water solution against atropine sulfate water solution. Axis X: “molar ratio” means “β-cyclodextrin:atropine sulfate molar ratio”

Looking at the results of an ITC experiment for β-CD scopolamine (Fig. 1; Table 1), it is seen that although concentration of solution applied was relatively low, there was still a significant release of heat detectable. This effect points to a high equilibrium constant (Table 1). Curve fitting of the enthalpy of complex formation (ΔH—Fig. 1) plot revealed, in this case, best accordance with a stoichiometry of 1:1 (β-CD:scopolamine). The only data, concerning a stoichiometry of β-CD with scopolamine, could be found in the Blaschke et al. paper [17]. The authors estimated the complex stoichiometry from 1H-NMR data, based on the continuous variation method [18], and found out that the Job plot (both aromatic protons and H proton) for β-CD + scopolamine system had the symmetrical shape which results in stoichiometry of 1:1 (β-CD:scopolamine). So, the result confirms and fully agrees with our investigations concerning the obtained stoichiometry of 1:1 in the case of complex formation of β-CD with scopolamine.

However, it is a big discrepancy between calculated values of the equilibrium constant of the investigated β-CD + scopolamine complex and the literature data [17]. The values of K constant (Table 2) calculated, based on the very well fit (Fig. 1) of the enthalpy of complex formation, are about 50 times higher than the equilibrium constant calculated by the use of the Benesi–Hildebrand method [19], from the 1H-NMR data [17]. It is necessary to notice that the value of K calculated from the 1H-NMR data [17] was obtained by the procedure [19] which is very imprecise for protons which do not experience large shifts upon complex formation or for signals which are partially obscured by other peaks [17].

Table 2 Gibbs energy of complex formation (ΔG) and the entropy of complex formation (ΔS) for the all investigated systems

The obtained results of ITC experiments for the inclusion complexes formed by β-CD with two other tropane alkaloids (homatropine hydrobromide and atropine sulfate) as well as α-CD with homatropine hydrobromide are given in Table 1 and Fig. 2 (curve fitting of the enthalpy of complex formation for β-CD and atropine sulfate—for the three tropane alkaloids, the enthalpy curves were very similar, so the only one example is given).

Curve fitting of the enthalpy of complex formation (ΔH—Fig. 2) plot revealed, in all the cases, best accordance with a stoichiometry of 1:2 (β-CD or α-CD:tropane alkaloid). In the literature, there is a lack of reliable data concerning the equilibrium constants, the enthalpies of complex formation and the stoichiometry. However, very precise and accurate fit of the experimental enthalpy of complex formation of those systems allows for assumption that one can rely on the obtained experimental ITC data.

It is necessary to point out that in the case of atropine sulfate we deal with two atropine particles in one atropine sulfate particle. So, the stoichiometry of 1:2 (β-CD:tropane alkaloid) results in the case of β-CD and atropine sulfate in the stoichiometry of 1:1 (β-CD:atropine).

Looking at the results of an ITC experiment for α-CD and all the investigated drugs (Table 1), it is seen that α-CD forms inclusion complex only with homatropine hydrobromide. In the case of other two drugs, i.e., scopolamine and atropine sulfate, none of the characteristic effects for formation of inclusion complexes was observed. The detected enthalpy of complex formation of α-CD/scopolamine (and atropine sulfate) was constant and, on the level of the method accuracy, equal to the sum of dilution and mixing effects of α-CD/water and water/scopolamine (and atropine sulfate).

The absolute value of inclusion complex formation enthalpy of α-CD with homatropine hydrobromide (Table 1) was the lowest from all the complexes investigated and was about five times lower than the lowest from among β-CD complexes with the tropane alkaloids (β-CD + homatropine hydrobromide—Table 1). It results in a much lower equilibrium constant for this system (more than two times lower than K for β-CD complex with homatropine hydrobromide—Table 1).

It is necessary to take into account that although the size of homatropine hydrobromide and scopolamine is similar, α-CD forms weak complex only with homatropine hydrobromide (Table 1). Moreover, in this case, despite the fact that for small-sized molecules the difference in cavity diameter of α- and β-CD usually plays major role in complexation [20], both α- and β-CD form the complexes with the same stoichiometry of 1:2 (β-CD or α-CD:tropane alkaloid). It is necessary also to notice that the weakest interaction (the lowest equilibrium constants) has been measured for the α- and β-CD complex formation with homatropine hydrobromide (Table 1).

The heat detectable for β-CD complex formation with homatropine hydrobromide significantly differs from the heat obtained for the β-CD + scopolamine complex (Table 1). The absolute value of the heat is about four times lower than in the case of scopolamine (Table 1) which results in a lower equilibrium constant (Table 1). In the case of β-CD + atropine sulfate complex formation, we deal with the opposite situation. The absolute value of the heat detected, in this case, is of about 10 % higher than in the case of scopolamine (Table 2), but the equilibrium constant is much (almost four times) higher than the equilibrium constant of β-CD + scopolamine complex (Table 1).

Based on the values of equilibrium constant (K) and enthalpy of complex formation (ΔH), the Gibbs energy of complex formation (ΔG) and the entropy of complex formation (ΔS) have been calculated, for all the investigated systems, from the following equations:

$$ \ln K = - \frac{\Delta G}{RT} $$
(1)
$$ \Delta G = \Delta H - T\Delta S $$
(2)

where T is the temperature [K] and R is the gas constant (J mol−1 K−1).

The calculated values of the Gibbs energy and the entropy of complex formation for the all investigated systems are given in Table 2.

Results displayed in Tables 1 and 2 clearly show that complex formation of both β-CD (bigger molecule with wider cavity compared with α-CD) with all the investigated tropane alkaloids (scopolamine, homatropine hydrobromide and atropine sulfate) and α-CD with homatropine hydrobromide is entropy driven. This indicates that the difference in the cavity dimensions is not reflected in different driving forces of complex formation and binding modes which results in the same stoichiometry of the obtained inclusion complexes.

Looking at the obtained results (Table 1), it is seen that the complexation of both α-CD and β-CD with homatropine hydrobromide is much less exothermic than the complexation of β-CD with the other (scopolamine and atropine sulfate) tropane alkaloids. It means that in this case the weaker (compared with the other investigated alkaloids) van der Waals interaction between CDs and homatropine hydrobromide takes place. If we have a weak interaction (low value of K), the particle does not enter the cavity (or enters it only slightly). That is why, in this case, the CD ring can interact not only with one particle but also with two particles and 1:2 complex can be formed.

β-CD complex formation with the other investigated drugs is more exothermic compared with the complexation with homatropine hydrobromide (Table 1). It is probably caused by the fact that exothermic effects from van der Waals interaction, H-bonding and the expulsion of cavity-bound water in these cases are much less overlapped by endothermic effects connecting with dehydration and hydrophobic interaction.

It is necessary to point out the positive change in entropy of the obtained complexes. The breakage of hydration shells and release of water molecules to the bulk produce the positive contribution to ΔH and ΔS of the complexes.

Conclusions

The analysis of investigation results of the inclusion complexes shows that there is a big difference between the equilibrium constants and the enthalpy of complex formation of α- and β-CD with homatropine hydrobromide. The absolute value of enthalpy of α-CD + homatropine hydrobromide inclusion complex formation is about five times lower than the absolute value of enthalpy of β-CD + homatropine hydrobromide complex formation (Table 2) which results in big (about 2.5 times) difference in values of the equilibrium constant of those complexes (Table 1).

It is necessary to point out that the thermodynamic properties of α- and β-CD with homatropine hydrobromide differ significantly asunder and from the other investigated complexes. Both the enthalpy and the equilibrium constants of the β-CD inclusion complexes with the other tropane alkaloids (scopolamine and atropine sulfate) are much higher (Table 1) than the values obtained for the complex of β-CD with homatropine hydrobromide. In the case of the β-CD complex with atropine sulfate, the enthalpy of complex formation is about 10 % higher than in the case of the β-CD complex with scopolamine and about eight times higher than the value for the β-CD complex with homatropine hydrobromide (Table 1).

It is interesting to notice the positive and similar value change in entropy of the all obtained complexes (Table 2) causing that the complex formation of both β-CD (bigger molecule with wider cavity compared with α-CD) with all the investigated tropane alkaloids (scopolamine, homatropine hydrobromide and atropine sulfate) and α-CD with homatropine hydrobromide is mainly entropy driven.

The different thermodynamic parameters (K, ΔH, ΔG and ΔS) of the investigated systems are not connected with the stoichiometry of the formed inclusion complexes. Both the bigger molecule (higher cavity diameter) of β-CD and the smaller molecule of α-CD form inclusion complexes of stoichiometry 1:2 with homatropine hydrobromide. However, it is important to notice that the β-CD forms the strong (high value of the equilibrium constant—Table 1) inclusion complexes with all the investigated tropane alkaloids, while the α-CD forms the weak (low value of the equilibrium constant—Table 1) inclusion complex only with homatropine hydrobromide.

Experimental results obtained for the inclusion complexes formed by natural CDs with drugs confirmed applicability of the ITC method for both proper analysis of that type of complexes and direct determination of their thermodynamic properties.