Kinetic and High-Pressure Mechanistic Investigation of the Aqua Substitution in the <i>Trans-</i>Aquaoxotetracyano Complexes of Re(V) and Tc(V): Some Implications for Nuclear Medicine

Botha, J. Mattheus; Roodt, Andreas

doi:https://doi.org/10.1155/2008/745989

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Volume 2008 | Article ID 745989 | https://doi.org/10.1155/2008/745989

Kinetic and High-Pressure Mechanistic Investigation of the Aqua Substitution in the Trans-Aquaoxotetracyano Complexes of Re(V) and Tc(V): Some Implications for Nuclear Medicine

J. Mattheus Botha^1,2and Andreas Roodt¹

Academic Editor: Jannie Swarts

Received16 Aug 2007

Accepted08 Dec 2007

Published17 Apr 2008

Abstract

A kinetic study of the aqua substitution in the complex by different thiourea ligands (TU = thiourea, NMTU = N-methyl thiourea, NNDMTU = N, -dimethylthiourea) yielded second-order formation rate constants as follows [NNDMTU, NMTU, TU, respectively]: = 11.5 0.1, 11.38 0.04, and 7.4 0.1 , with activation parameters: , , kJ ; , , J . A subsequent high-pressure investigation of the aqua substitution in the and complexes by selected entering ligands yielded values as follows: Re(V): , (TU) and for Tc(V): , (NNDMTU), and (TU) , respectively. These results point to an interchange associative mechanism for the negative as entering group but even a pure associative mechanism for the neutral thiourea ligands.

1. Introduction

Technetium-99m is widely used in over 90% of all current diagnostic nuclear medicinal applications [1–5] due to its favourable nuclear properties ( hours, keV 100%) and availability from a generator. It is routinely used for brain, heart, liver, kidney, and bone imaging. Technetium’s third-row congener and analog, rhenium, also has applications in nuclear medicine since its two radioactive isotopes, Re-186 and Re-188, have nuclear properties suitable for radiotherapeutic applications [6–8].

The development of technetium myocardial imaging agents commenced with work by Deutsch [9–12], who investigated the [Cl₂(dmpe)₂]⁺ [dmpe = bis(1,2-dim ethylphosphino)ethane] and [X₂(diars)₂]⁺ complexes (diars = o-phenylenebis(dimethylarsine), = Cl, Br) [12]. Studies on animal models indicated that the reduction of is biologically accessible for the cationic [ - Cl₂(dmpe)₂]⁺ complex, yielding neutral [Cl₂(dm- pe)₂]. The latter then washes from the heart and becomes trapped in the liver. The reduction of to [¹⁸⁶- Cl₂(dmpe)₂]⁺ is 0.2 V more negative compared to the anal- ogous Tc complex and is thus retained in the heart [10]. Kinetic, electrochemical, and structural work on the [Re/ Cl₂(dmpe)₂] complexes has been published and illustrates its importance as initial models [13–18].

Currently, however, other monocationic complexes of technetium-99m are of significant interest because of their extensive use as myocardial imaging agents [19, 20] with examples including Cardiolite or [(MIBI)₆]⁺ (MIBI = 2-methoxy-2-methylpropylisocyanide) [21, 22] and Myoview [O₂(Tetrofosmin)₂]⁺. While the monoca tionic complexes are traditionally based on the [O==O]⁺, [Cl––Cl]⁺, and cores, a new class of myocardial im- aging agents feature the core, an exam- ple being the Tc–N–NOET complex (bis(N-methoxy-N- methyldithiocarbamato)nitridotechnetium(V)).

Two technetium complexes, containing specifically phosphine ligands, currently used for myocardial imaging are the above-mentioned Myoview and TechneScan Q12/TechneCard ([(PR₃)₂()]⁺) [23]. In [O₂(Tetrofosmin)₂]⁺ the technetium is in a high-oxidation state and shows substantial myocardial uptake [24]. It is interesting to note that [O₂(dmpe)₂]⁺, which has methyl groups on the phosphine rather than the ether groups as in the tetrofosmin ligand, is not retained in the myocardium [25].

With the ongoing development of new Tc and Re agents, it is essential that their basic coordination chemistry is understood. Nonradioactive rhenium is widely utilized to imitate technetium chemistry on a macroscale and has been extensively pursued for the past two decades or more, describing changes in coordination modes. We reported structural effects induced by different Re-cores while maintaining an equatorial ligand set, utilizing two dmpe ligands, while varying the axial core, to investigate the impact this change induces on the solid-state structure of the coordinated polyhedron and on the bidentate tertiary phosphine ligand, dmpe [26]. Similarly, the effect of different conformers/isomers and energies associated therewith has been described [27]. More recent extensive work by Alberto showed that the fac-[(CO)₃M(H₂O)₃]⁺M = Re core provides excellent access to numbers of model radiopharmaceuticals [28–35].

The “lanthanide contraction” results in similar physical characteristics for analogous Re and Tc complexes (i.e., size or lipophilicity) [1, 6]. Thus, when rhenium is used as the nonradioactive surrogate for the development of Tc chemistry because it is nonradioactive, their similar physical characteristics make it very difficult for biological systems to distinguish between analogous Tc and Re [6] complexes based on properties such as size, shape, and charge. However, firstly, they differ significantly in their redox properties, which can result in different in vivo handling of analogous complexes. Rhenium complexes are more stable in higher-oxidation states and thus are more difficult to reduce (by ca. 200 mV) than their Tc analogs [36]. Thus, Re is more readily reoxidized to perrhenate () than Tc is to pertechnetate in vivo, and perrhenate requires the use of stronger reducing agents for the synthesis of Re radiopharmaceuticals.

A second difference is the larger ligand field splitting for Re complexes, which results in slower-ligand substitution onto Re than Tc. We have previously investigated different aspects of the trans-dioxo complexes, with the general structure of trans-, M = Mo(IV), W(IV), Tc(V), Re(V), Os(VI), and related systems, evaluating structural and reactivity correlations for a range of ligands L. It was shown that a twelve-order of magnitude in reactivity in these systems exists, ranging from the very rapid proton exchange, to the slower hydroxo and aqua substitution and the extremely slow-equatorial ligand substitution [37–41].

Subsequent kinetic studies on the [ReO(OH₂)(TU)₄]³⁺ complex, showed that the trans-substitution reactions of the aqua ligand most likely proceed via an interchange dissociative mechanism () [42]. This outlined a discrepancy in the proposed mechanism for trans-substitution reactions on the [ReO(OH₂)(CN)₄)⁻ complex as concluded earlier in the literature [43, 44]. The substitution rate for the [ReO(OH₂)(TU)₄]³⁺ complex with NCS⁻ was in the order of ca. times faster than for the [ReO(OH₂)(CN)₄]⁻ complex. Furthermore, the reactions involving [ReO(OH₂)(TU)₄]³⁺ and higher concentrations of the entering ligand showed typical limiting kinetics, while in the [ReO(OH₂)(CN)₄]⁻ complex, no tendency of limiting kinetics was observed.

We have previously correlated different in vivo reactivities with in vitro behaviour [41] and attempted to link certain sites with biodistribution and bioactivity, but was, and still is, unable to do more detailed comparisons. Thus, since detailed mechanistic studies and data on substitution processes are fairly limited, it prompted us to reinvestigate the type of mechanism obeyed for the [ReO(OH₂)(CN)₄]⁻ complex when reacted with different entering ligands and extending it to the complex, by specifically utilizing advanced high-pressure kinetics. This high-pressure study of the [MO(OH₂)(CN)₄]⁻ complex (M = Re and Tc), with different entering ligands, is therefore reported here.

2. Material and Methods

All reagents and chemicals were of analytical reagent grade, and double-distilled water was used in all experiments. All pH measurements were done with an Orion 701 pH meter and a combined glass/calomel electrode using standard buffer solutions and standardized hydrochloric acid solutions for calibration. The ionic strength was constant in all the experiments, maintained with NaNO₃ as noncoordinating electrolyte. In all calculations, pH = log [H⁺]. Na₃[ReO₂(CN)₄] and Na₃[TcO₂(CN)₄] were prepared as previously described [37]. Caution: Technetium-99, although a low-energetic radio-active β-emitter (230 KeV, ), should always be handled with care and under approved conditions.

Kinetic measurements were done on modified Durrum-Gibson Model D110 and Applied Photophysics SX.18 MV (control experiments; coupled with a J&M Tidas-16 diode array) stopped flow spectrophotometers equipped with constant temperature syringe and cell holder systems (accurate within 0.1^°C). These were coupled to a personal computer or Acorn Risc workstation capable of performing least-squares analyses on the absorption values versus time data obtained from the kinetic runs. The SCIENTIST [45] program was used to fit the data to selected functions. High-pressure studies were done on a GBC 916 spectrophotometer in a high-pressure vessel with pill box cells of path length 15 mm or in a stopped flow high-pressure vessel [46]. All kinetic runs were performed under pseudo-first-order conditions with the ligand in large excess. The solid lines in the figures represent computer least-squares fits of data, while the experimentally determined values are given as points. The [MO(L)(CN)₄ complexes from the reactions between [MO(OH₂)(CN)₄]⁻ and different entering ligands were characterised as previously described [43, 44].

3. Results and Discussion

It was previously shown that the complete reaction scheme governing the substitution reactions on the protonated forms of the trans-[MO₂(CN)₄ complexes is limited to the aqua species, trans-[MO(OH₂)(CN)₄ and with small con tributions, under selected conditions from trans-[MO(OH)- (CN)₄ [37]. Assumptions made and approximations have all been reported previously.

The value (of the [TcO(OH₂)(CN)₄]⁻ complex, Scheme 1) was previously determined from the reaction between [TcO(OH₂)(CN)₄]⁻ and NCS⁻ ions as 2.90(5) by Roodt et al. [44]. To further verify this by another ligand system, an independent kinetic determination was carried out for the reaction between [TcO(OH₂)(CN)₄]⁻ and NNDMTU and is illustrated in Figure 1. NNDMTU was selected since these reactions showed the largest absorbance changes.

The general expression for the observed pseudo-first-order rate constant shown in (1), as obtained previously, describes the acid-base behaviour of the trans-[MO(OH₂)(CN)₄ complexes, where and represent the forward and reverse rate constants, that is, the anation/ligation and acid hydrolysis, respectively.

The data in Figure 1 was fitted to (1), and a value as reported in Table 1 was obtained. The acid dissociation constant thus determined from the reaction between [TcO(OH₂)(CN)₄]⁻ and NNDMTU is in good agreement with the value reported for the reaction between the metal complex and NCS⁻ ions () [44].

It is therefore evident that if the reaction between [TcO(OH₂)(CN)₄]⁻ and the different entering ligands (TU, NMTU, NNDMTU) is investigated at a pH value of 0.6 [, see Table 1], the trans-oxo aqua species of the metal complex is more than 99% present in solution. At these high-acidic conditions where , (1) simplifies to the well-known simple expression in (2), assuming negligible reverse or concurrent reactions (ca. 0). The versus [L] data obtained from these runs was fitted to (2), and values for and were consequently obtained (Table 1):

The ligand concentration and temperature dependence study for each of the different thiourea entering ligands (TU, NMTU, and NNDMTU) were therefore completed for the [TcO(OH₂)(CN)₄]⁻, with the data for NMTU as entering ligand shown in Figure 2.

These versus temperature data sets were used in the Eyring equation [43] to calculate the activation parameters governing the step (Table 1). The intercepts () in all these runs were zero within standard deviations, thus confirming a large value for each of the different nucleophiles.

The activation entropies (Table 1) for all the reactions studied suggest increased order in the transition state, indicative of association being important.

Following similar arguments used by Grundler et al. [35], and by our group [47], different pathways for the substitution process were therefore considered.

Firstly, for an associative mechanism (Scheme 1, , and pathway), the rate of the reaction is given by If it is assumed that the [MO(OH₂)(L)(CN)₄ complex is formed under steady-state conditions, its formation and decomposition would be equal yielding Upon incorporation of the definition of (= [MO(OH) ][H⁺]/[MO(OH₂)]), (= [MO(OH₂) ] + [MO(OH)]) and substituting (4) into (3), integration of the rate law {, by assuming a fast step (Scheme 1), 5 , and defining the pseudo-first-order rate constant, is obtained: Similar arguments may be used, considering an interchange pathway (Scheme 1, and ), incorporating the definition of (= [MO(OH)][H⁺]/[MO(OH₂)]), (= [MO(OH₂)] + [MO(OH)] + [MO(OH₂)(L)]), (= [MO(OH₂)(L)]/ [MO(OH₂)][L]; ([L] ), yielding an expression for the pseudo-first-order rate constant as given in (6), and assuming [L] 1, It is clear that (5) and (6) are similar and both adequately describe the experimental results associative mechanism (5): and ; interchange mechanism (6): and and , and both simplify to (1) and (2), respectively.

The pressure dependence for the substitution process as studied here, at different pressures and , is given by [47] Since the contribution by the reverse step is negligible in all cases in this study as concluded above, this implies that . The data obtained for the trans-[TcO (OH₂)(CN)₄]⁻ are shown in Figure 3, where (7) was utilized to obtain , and the results are reported in Table 1.

In order to compare the type of mechanism obeyed for trans-aqua substitution in the [ReO(OH₂)(CN)₄]⁻ complex, a high pressure study with NCS⁻ ions and TU was also performed. Since the reaction between [ReO(OH₂)(CN)₄]⁻ and L (L = NCS⁻ and TU) shows equilibrium constants of and M^-1, respectively [48, 49], similar arguments to the Tc(V) as mentioned above could be used to determine the activation volume, , for which the values are reported in Table 2.

This high pressure kinetic study on the reaction between [TcO(OH₂)(CN)₄]⁻ and NCS⁻ ions, NNDMTU and TU [Figure 3], yields values of , and cm³/mol, respectively. Similarly, the data for the Re(V), as represented in Figure 4 gave values of and cm³/mol for NCS⁻ ions and TU respectively. It is clear that all these indicate small to large negative values, contrary to the experiments on Alberto's and complexes [35].

We previously concluded that with regard to the mechanism, due to the large distortion (metal displaced out of the plane formed by the four cis ligands bonded to the metal, away from the trans-oxo) observed for the [MO(L)(CN)₄]^n- complexes of , , , and , a dissociative acti- vation would be favoured during trans-aqua substitution reactions [44, 47]. A positive volume of activation (+ cm³/mol) was observed for the reaction between the corresponding isostructural [WO(OH₂)(CN)₄]^2- complex and , forming an important basis of the mechanistic assignment.

However, the current high-pressure study on the [ReO(OH₂)(CN)₄]⁻ and [TcO(OH₂)(CN)₄]⁻ complexes clearly indicates a negative volume of activation for all these reactions (Table 2), ranging from slightly negative for the anionic NCS⁻ as entering ligand, to substantially negative for the neutral thiourea ligands. This yields important evidence, along with the large negative values, that an associative (A) mechanism or an associative interchange () mechanism is operative for the activation step during these trans-aqua substitution reactions on the M(V) metals. In principle, this is actually quite acceptable, since the [MO(OH₂)(CN)₄ complexes of , , and are all classic 16 electron species. Clearly, the M(IV) metal centres are softer than the corresponding and , allowing easier dissociation of the aqua ligand in the rate determining step. This is confirmed by the solid state structures of the [MO(NCS)(CN)⁴]^2- complexes, wherein both of the NCS⁻ ligands where nitrogen bound. [43, 44].

The formation of the [MO(L)(CN)₄ complex in Scheme 1 in an A mechanism yields an activation volume , which is expected to be large negative, and holds true for the reactions between both [ReO(OH₂)(CN)₄]⁻ and TU ((9) cm³ mol^-1) and [TcO(OH₂)(CN)₄]⁻ and NNDMTU ( cm³ mol^-1) and to a lesser extend for [TcO (OH₂)(CN)₄]⁻ and TU ( cm³ mol^-1). It is therefore realistic that the neutral ligands will associate more easily with the [MO(OH₂)(CN)₄]⁻ species, compared to association between two negative species [MO(OH₂)(CN)₄]⁻ and the NCS⁻ ligand, supporting the assumption of an associative process. Furthermore, the reaction between [MO(OH₂)(CN)₄]⁻ and NCS⁻ yielded activation values of and cm³ mol^-1 for and , respectively. These are considered too small negative values to support a pure associative activation, although electrostriction between the negatively charged complex and entering NCS⁻ ligand might affect the total value of .

For an mechanism, the volume of activation can be expressed as the sum of the individual contributions for each step in Scheme 1(8), where and = reaction volume for the equilibrium reaction defined by : The step is associated with a simultaneous bond breaking/formation process, and therefore is expected to be slightly negative in an interchange associative process. Furthermore, can be expressed in terms of its individual components (9): Since is expected to be positive (associated with bond breaking), and in turn is slightly negative, is expected to be either small positive or slightly negative. It is thus clear from (9), that depending on the relative magnitude of the volume change associated with and , that either an or mechanism is possible. However, since an overall negative tendency for was obtained, an associative interchange mechanism is considered more likely for the NCS⁻ reaction, since there should be significant electrostriction between the NCS⁻ and [M]⁻ species. For the neutral thiourea ligands, an even larger-negative activation volume is observed, and a pure associative mode of activation could well be operative.

Upon comparison of the trans-substitution reactions on the [ReO(OH₂)(CN)₄]⁻ and [TcO(OH₂)(CN)₄]⁻ complexes (Table 2), a few other interesting observations are also made.

Firstly, for the [ReO(OH₂)(CN)₄]⁻ complex, the order of reactivity for the ligands are: NMTU > NNDMTU > TU > NCS⁻> HN₃ and for the [TcO(OH₂)(CN)₄]⁻ complex: NCS⁻> NNDMTU > NMTU > TU. It is clear that the NCS⁻ ligand shows the fastest reaction with the Tc centre (ca. 6300 times faster), but the slowest reaction with the Re centre [see relative ratio’s of Tc/Re in Table 2]. A comprehensive explanation of this rate difference is not yet possible. It is, however, known that the centre can more readily accept electron density than does the [50, 51] and to some extend favour, in spite of the negative charge on the NCS⁻ as entering ligand, association with the centre. This is, however, not manifested in the activation volumes. The rate constants of the thiourea ligands are more comparable, showing a great deal of consistency for both metal centres, although a slight dependence on steric bulk/electron density of the TU ligands is apparent, but cannot currently be convincingly explained, see below.

Secondly, since it is known that methyl substituents on a ligand can increase the value and therefore the electron donating ability thereof (see examples in Table 3 [52]), it is expected in an associative mechanism that the methyl substituted thiourea will react slightly faster than TU, as was concluded from this work on the system.

Thirdly, the [MO(OH₂)(CN)₄ compounds of and react both according to an associative mechanism or partly associative, while the and compounds react via a dissociative mechanism. From this, it is clear that the work done on the and centres, although all iso-structural species, cannot be applied directly to the and centres, as assumed previously [13]. It also implies that the higher-oxidation state of the and centres favour the more associative activation, while the and could favour a dissociative activation mode.

However, even more detailed high-pressure studies, to enable construction of complete volume profiles, are required in future.

These results, along with the fact that the Tc(V) centre is much more reactive than the Re(V), is of particular relevance to nuclear medicine. In the preparation of radiopharmaceuticals or in the labelling of antibodies with , “transfer” ligands are often used to stabilize the required oxidation state, and then the actual labelling is accomplished by simple ligand substitution onto the “transfer complex” [53]. From this work, the best way of optimizing labelling conditions would be to use a S-donor transfer ligand instead of a C- or N-donor transfer ligand so that the exchange process would be dissociative in nature. This would imply that the transfer ligand, rather than the concentration of the antibody or chelating moiety attached to the antibody, would influence the reaction rate and yield a much “cleaner” reaction mixture (concentration of unlabeled antibody in solution would be low). Furthermore, the greater reactivity of Tc compared to Re must be taken into account when developing therapeutic radio-rhenium analogues to known diagnostic radiopharmaceuticals. For example, more drastic conditions are required in the preparation of diphosphonates (for bone imaging) than in the preparation of diphosphonates [54]. These differences in reactivities between and centres needs to be taken into account before procedures that are available for certain technetium complexes are applied to the preparation of the rhenium analogues.

Acknowledgments

Financial assistance from the Research Fund of the Free State University is gratefully acknowledged. Part of this material is based on work supported by the South African National Research Foundation under Grant no. (GUN 2053397). Any opinion, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the NRF.

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Copyright © 2008 J. Mattheus Botha and Andreas Roodt. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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