Abstract
Three structurally analogous radical clock substrates with a 100-fold span in their rearrangement rates are hydroxylated by the diiron oxygenase AlkB to afford similar amounts of rearranged and unrearranged products. Such a result is predicted by a mechanistic scheme by which radical rebound competes with cage escape of the geminate substrate radical. The results show that radical clocks can measure both the radical life-time and the kinetics of cage escape.

Keywords: cytochrome AlkB, sMMO, diagnostic substrates, reaction mechanisms, alkanes, hydrocarbons, radical clock
The alkane hydroxylase AlkB of Pseudomonas putida GPo1 is typical of a large class of membrane-spanning, diiron oxygenases that catalyze hydroxylation, epoxidation and desaturation reactions.[1, 2] These enzymes are of considerable interest due to their impact on global hydrocarbon metabolism[3], their potential for practical biocatalytic application and the resulting inspiration for the design of synthetic, biomimetic catalysts.[4] Although the three-dimensional structures of AlkB or any closely related proteins are unknown, topology modeling has predicted a structure comprised of six membrane-spanning helices with the catalytic iron diad appended to the cytoplasmic termini of the helix bundle.[5] Mossbauer data and alanine scanning have suggested that the diiron binding site is histidine-rich[6], as found in hemerythrin, in contrast to the predominantly carboxylate binding motifs found in the diiron hydroxylases sMMO[7] and T4MOh.[8] Protein side chain mutations have identified a long, hydrophobic substrate-binding channel within the bundle that is tuned to accept medium-length alkanes.[5] AlkB was the first alkane hydroxylase shown to generate a long-lived substrate carbon radical during catalysis, as revealed by diagnostic skeletal rearrangements of the hydrocarbon probe norcarane.[9]
Here we report results for the AlkB hydroxylation reaction using a panel of radical clock substrates that display intrinsic rearrangement rates spanning five orders of magnitude, from a moderately slow 2.8 × 107 s-1 for bicyclo[3.1.0]hexane[11] to an ultra fast 1011 s-1 for trans-2-phenyl-methyl-cyclopropane.[12] Significantly, the ratios of rearranged and unrearranged products (R/U) found for the three most slowly-rearranging substrates were all in the range of unity even though their rearrangement rates differed widely. To account for these unusual results we propose a new diffusional model of AlkB hydroxylation that involves radical cage-like active site dynamics of the type observed for heme- and cobalamin-containing metalloproteins.
AlkB from P. putida GPo1 was expressed in P. putida GPo12 in the manner we have previously described.[13] GPo12 is a receptacle clone that has been stripped of its innate hydroxylases and dehydrogenases. This approach has the advantages of producing unambiguous protein expression and high activity for only the inserted hydroxylase gene, while showing otherwise negligible background oxidation. Substrates were oxidized in resting whole cells and in cell-free extracts because all attempts to isolate and purify AlkB to date have led to loss of activity. Results for the AlkB-mediated oxygenation of the three alkane substrates, bicyclo[4.1.0]heptane (norcarane), bicyclo[3.1.0]hexane and bicyclo[2.1.0]pentane are presented in Table 1. These simple alkanes were chosen because of their similar size, nearly spherical shape, highly analogous cyclopropyl-carbinyl structures and similar rearrangement chemistry (Scheme 1). The data for all three substrates showed large amounts of rearrangement products (>50%) consistent with the involvement of discreet radical intermediates during the hydroxylation process. Further, the ratios of primary to secondary alcohols formed from norcarane and bicycohexane are similar to the partition ratios observed for bona fide radical reactions for these substrates, ~2% and ~10%, respectively.
Table 1.
Product distribution for AlkB oxygenations of bicycloalkanes.
|
|
|
|
|
R/U | |
|---|---|---|---|---|---|
| GPo1 whole cell | 0.5 (0.3) | 14.1 (2.8) | 13.8 (1.7) [0.4 (0.2)][b] |
exo: 8.9 (0.3) | 1.0 |
|
endo: 54.7 (2.1)[a] [8.2 (2.4)][b] | |||||
| GPo1 cell-free | 0.4 (0.2) | 29.9 (3.1) | 13.3 (0.6) [1.0 (0.3)][b] |
exo: 8.4 (0.4) | 2.1 |
|
endo: 40.9 (0.6) [1.9 (0.6)] | |||||
|
| |||||
|
|
|
|
|
||
|
| |||||
| GPo1 whole cell | 8.9 (0.8) | 52.5 (2.1) | exo: 6.6(0.6)[d] | 22.1 (0.8) [1.9 (0.6)] |
4.2 |
| endo: 8.0(0.9) | |||||
| GPo1 cell-free | 5.6 (0.4) | 67.3 (0.8) | exo: 4.9(0.4)[d] | 13.5 (0.8) [nd] | 5.3 |
| endo: 8.9(1.0) | |||||
|
| |||||
|
|
|
|
|||
|
| |||||
| GPo1 whole cell | 47.3 (2.6) | 34.6 (4.7) | 18.1 (6.8)[e] | 1.9 | |
| GPo1 cell-free | 54.7 (5.7) | 45.3 (5.7) | nd | 1.2 | |
Endo-3-and exo-2-norcaranol were difficult to resolve. MS fragmentation indicated that endo-3-norcaranol was the predominant isomer in every case.
Yield of corresponding ketone in brackets.
Product not detected.
Ketone not detected.
Mixture of 2-and 3-cyclopentenones.
Scheme 1.

Radical rearrangements of bicycloalkanes
It is striking, however, that the ratio of rearranged products to unrearranged products (R/U) for these three substrates does not correlate with the 100-fold change in the radical rearrangement rate constants; bicyclo[2.1.0]pent-2-yl (krearr=2 × 109 s-1),[14] 2-norcaranyl (krearr=2 × 108 s-1) and bicyclo[3.1.0]hex-2-yl (krearr=2.8 × 107 s-1).[11] We find that average R/U values for the three substrates were remarkably constant, 1.6, 1.6, and 4.7, corresponding to apparent radical lifetimes of 0.78 ns, 7.8 ns and 170 ns, respectively. Indeed, bicyclohexane, with the slowest rearrangement rate, displayed the most rearranged product and by far the longest radical lifetime. The same effect was observed when norcarane and bicyclohexane were oxidized as a mixture. By contrast, the ultra-fast rearranging probe trans-2-phenyl-methyl-cyclopropane (krearr=1011 s-1) was confirmed to afford only rearranged products.[9, 15] Clearly, there is a discrepancy here between the observed results for the more slowly rearranging substrates and expectations based on Arrhenius-type kinetic behavior for rearrangements of freely diffusing radicals. The structural similarity of the three substrates makes it unlikely that some bulk medium effect is the cause of this timing compression. However, the results can be accommodated by a mechanism in which there is a step in the mechanism that occurs after hydrogen abstraction from the substrate and before rearrangement of the intermediate radical.
We suggest a scenario in which hydrogen atom abstraction of the substrate cyclopropyl-carbinyl C-H leads to a caged radical pair [Fe2O-H .R] (RP) as shown in Scheme 2. Kinetic simulations show (see Fig. S4, supporting information) that differences in radical rearrangement rates are masked in the product analysis for such a scheme if diffusive cage escape to a solvent-separated radical pair (RPss) were to occur at a rate (ke) that is similar to the rebound rate (kR) leading to the product alcohol. Indeed, with ke ~ kR = 1010 s-1, which are very reasonable rates for such processes, then the ratio R/U for substrate rearrangements occurring slower than 1010 s-1 would all reflect the ‘caging efficiency’ ke/kR and would not be much affected by the differences in krearr, in accord with the experimental observations. The result is analogous to the commonly observed suppression of kinetic hydrogen isotope effects by strong binding of the substrate. The nearly complete rearrangement of trans-2-phenyl-methyl-cyclopropane in such a situation could reflect rapid rearrangement within the initial radical cage (krearr > kR), unusually fast cage escape for this substrate (ke > kR) or both. The long, hydrophobic substrate channel in AlkB, similar to that found in the X-ray structure of ToMOH,[16] could provide a pathway for separation of the insipient substrate radical while assuring its eventual return to the rebound intermediate Fe2O-H. Competitive rebound and cage escape also offers an explanation of the large substrate concentration effect on apparent 2-norcaranyl radical lifetime for AlkB.[10] Here, population of the substrate channel with additional substrate molecules could displace and reorganize active site water and create a logjam that reduces ke and reinforces reaction of the initial radical pair (RP).
Scheme 2.

Geminate recombination and cage escape
We favour this explanation over several, less likely alternatives. The hypothesis that the intramolecular rate constants measured outside the enzyme might be drastically changed in the enzyme is inconsistent with the unchanged rearrangement branching ratios that are observed. The possibility that there are two paths – a concerted process and a radical pathway – appears unlikely given that the fasted rearranging probe is fully rearranged. Furthermore, that hypothesis would require a fortuitous and unlikely change in the relative flux through the two pathways to balance the changing rearrangement rates.
There is abundant photophysical evidence for other proteins and in small molecule systems for competitive cage escape and recombination events. A particularly analogous example is the case of adenosyl radical recombination with cobalt(II)-cobalamin described in considerable detail by Sension, et al.[17, 18] Here, the transient kinetics in water indicate that the rate constants for in-cage radical recombination and cage escape are both ~109 s-1. While there are many dynamic processes at the AlkB active site that could affect cage escape, the intervention of a nearby water molecule by the formation of a hydrogen bond as in [Fe2O-H---OH2 .R] (RPss) is a particularly likely possibility. The intercalation of solvent molecules between organometallic radical pairs has been directly observed to occur in the ps time regime.[19, 20] Rapid reorganization of active site water is also thought to be involved in the complicated diffusional kinetics that occur after photodissociation of heme protein axial ligands.[21, 22] For photodissociated [heme-FeII NO] and [heme-FeII O2] in myoglobin, ligand recombination and cage escape are competitive.[23] Thus, even though there is almost no enthalpic barrier to ligand recombination, there is an entropic driving force that favors ligand diffusion into adjacent protein cavities where NO, for example, is observed to persist for up to a nanosecond.
We note that the curious stereochemical outcomes for chiral ethane and n-octane hydroxylation by sMMO[24] and AlkB,[25] which both show 60% racemization despite showing very different radical lifetimes with other probes, could also be explained by competitive cage recombination, water reorganization and radical escape, as well as structural heterogeneity in the solvation state of the reactive diiron intermediate. Further, pMMO may be an AlkB-like, diiron hydroxylase, increasing the potential relevance of mechanistic work on diiron non-heme alkane-oxidizing enzymes.[26] Likewise, the partial allylic scrambling observed for cyclohexene hydroxylation by cytochrome P450 and analogous behavior of numerous other substrates are also potentially explained by such processes.[27] Stochastic behaviour of the incipient radical and nearby water can lead to different trajectories and reaction outcomes for different individual molecules as the result of processes such as cage escape and water reorganization that contribute to the events but are not timed by the rearrangement clock. Accordingly, while diagnostic rearrangements at enzyme active sites such as AlkB provide clear information regarding the radical nature of substrate-based intermediates, these processes should not be expected to follow a strict molecular horology.
Experimental Section
AlkB GPo1 was transferred to P. putida GPo12 according to procedures previously reported.[5] In the resting cell approach, cells were centrifuged at OD = 1 and resuspended in pH 7.2 50 mM phosphate buffer. The substrate was provided by vapor transfer and the cells incubated for 3-4 hr as we have described.[13] After centrifugation, the supernate was extracted 3x with ethyl acetate, concentrated and assayed by GC-MS. Cell free extracts were prepared from cell pellets that were resuspended in pH 7.4 potassium phosphate buffer containing 5% glycerol. Reaction mixtures consisting of 1 mL of the cell broth, 1 μL of DTT solution, 2 μL of the substrate and 33 μL of a 0.36 M NADH solution were incubated for 2-3 hr.[11] The reaction was quenched with the addition of 1 mL CH2Cl2, and then vortexed and centrifuged. The CH2Cl2 layer was removed, dried with anhydrous sodium sulfate and analysed by GC-MS.
Supplementary Material
Footnotes
We thank FMC Corp., Princeton, NJ, for access to GC-MS instrumentation. We thank NSF CHE-0221978 (RNA, JTG) and CHE 0616633 (JTG), NIH GM 072506 (RNA) and 2R37GM036298 (JTG), the Henry Dreyfus Foundation (RNA) and the Howard Hughes Foundation (RNA) for support of this work.
Contributor Information
Prof. Rachel N. Austin, Email: raustin@bates.edu, Department of Chemistry, Bates College, Lewiston ME 04240, Fax: (+) 207-786-8336.
Kate Luddy, Department of Chemistry, Bates College, Lewiston ME 04240, Fax: (+) 207-786-8336.
Karla Erickson, Department of Chemistry, Bates College, Lewiston ME 04240, Fax: (+) 207-786-8336.
Marilla Pender-Cudlip, Department of Chemistry, Bates College, Lewiston ME 04240, Fax: (+) 207-786-8336.
Erin Bertrand, Department of Chemistry, Bates College, Lewiston ME 04240, Fax: (+) 207-786-8336.
Dayi Deng, Department of Chemistry, Princeton University, Princeton NJ 08544, Fax: (+) 609-258-0348.
Ryan S. Buzdygon, Department of Chemistry, Princeton University, Princeton NJ 08544, Fax: (+) 609-258-0348
Dr. Jan B. van Beilen, Department of Plant Molecular Biology University of Lausanne, Switzerland
Prof. John T. Groves, Email: jtgroves@princeton.edu, Department of Chemistry, Princeton University, Princeton NJ 08544, Fax: (+) 609-258-0348.
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