Selective Proton-Mediated Transport by Electrogenic K+-Binding Macrocycles

Synthetic K+-binding macrocycles have potential as therapeutic agents for diseases associated with KcsA K+ channel dysfunction. We recently discovered that artificial self-assembled n-alkyl-benzoureido-15-crown-5-ether form selective ion-channels for K+ cations, which are highly preferred to Na+ cations. Here, we describe an impressive selective activation of the K+ transport via electrogenic macrocycles, stimulated by the addition of the carbonyl cyanide-4-(trifluoromethoxy) phenylhydrazone (FCCP) proton carrier. The transport performances show that both the position of branching or the size of appended alkyl arms favor high transport activity and selectivity SK+/Na+ up to 48.8, one of the best values reported up to now. Our study demonstrates that high K+/Na+ selectivity obtained with natural KcsA K+ channels is achievable using simpler artificial macrocycles displaying constitutional functions.

We know from previous studies [20][21][22][23][24] that the transport activity has an optimal relationship with lipophilicity of carriers, while the disposition of the alkyl groups on the carrier backbone proved to be important too. The self-assembly behaviors of the functional transporting system are directly determining the structural dynamics that control the self-organized superstructures along cation recognition and transport pathways. The transport mechanism is determined by the optimal coordination rather than classical dimensional compatibility between crown-ether and cation, and systematic changes of the structure lead to adaptive selection in cation-transport activity [25].
As far as we know the alkyl skeleton isomerism was rarely considered to be a determinant factor to influence the transport activity. The structural variability of the alkyl tails of the macrocyclic superstructures at the interface within the membrane have been not specifically studied in our previous work. Herein, we continue our exploration and we serendipitously found that simple small variations on the structure of the linear or branched octyl tails in octyl-benzoureido-15-crown-5ethers 1, r2, s2, and racemic 3 ( Figure 1, Scheme S1) are strongly influencing the transport activities of monovalent cations. Together with this result, we confirmed another unexpected phenomenon; the carrier-induced electrogenic influx of K + cations is considerably boosted when coupled with proton transporter like carbonyl cyanide-4-(trifluoromethoxy) phenylhydrazone (FCCP) [25]. Simultaneous addition of 1, r2, s2, 3 and FCCP leads to the induction of K + /H + antiport via the formation of an electrical potentials across the membrane. This coupling of K + and H + fluxes can proceed without a potential via non-electrogenic K + /H + exchanges across the membrane. We observe an unprecedented increase in the selectivity [15,16] from SK+/Na+ = 3.6 to 48.8 in the best case.

Methods
1 H NMR spectra were recorded on an ARX 300 MHz Bruker Spectrometer (Bruker Daltonics, Billerica, MA, USA). Chemical shifts are reported as δ values (ppm) with corresponding deuterated solvent peak as an internal standard. Mass spectrometric analysis was performed in the positive ion mode using a quadrupole mass spectrometer (Micromass, Platform II spectrometer). Fluorescence spectra were recorded in Perkin Elmer LS-55 spectrometer (Perkin Elmer Inc., Waltham, MA, USA).

General Synthetic Procedure
All compounds have been synthesized as follows: 0.2 mmol 4′-aminobenzo-15-crown-5 are mixed with the corresponding 1.1 equiv. isocyanate in 10 mL of chloroform. The solution was stirred under reflux overnight. Solution was concentrated under rotary evaporator. Hexane was introduced to precipitate the product, after filtration, the filter cake was dried in the air and yields as final product, yields are around 65%.  13 13 13 (3) 13

LUV Preparation for HPTS Experiments
The large unilamellar vesicles (LUVs) were formed using egg yolk L-α-phosphatidylcholine (EYPC chloroform solution, 800 μL, 20 mg). To this solution was added 800 μL of methanol MeOH and the solvent was slowly removed by evaporation under vacuum at room temperature and dried overnight under high vacuum. The resulting thin film was hydrated with 400 μL of buffer (10 mM sodium phosphate, pH 6.4, 100 mM NaCl) containing 10 μM HPTS. During hydration, the suspension was submitted to seven freeze-thaw cycles (liquid nitrogen, water at room temperature). The obtained white suspension was extruded 21 times through a 0.1 μm polycarbonate membrane in order to transform the large multilamellar liposome suspension (LMVs) into LUVs with an average diameter of 100 nm. The LUVs suspension was separated from extra-vesicular HPTS dye by using size exclusion chromatography (SEC, stationary phase Sephadex G-50, mobile phase: phosphate buffer with 100 mM NaCl) and diluted with mobile phase to give 2.8 mL of 11mM lipid stock solution (considering all the lipids have been incorporated) [15].

Cation Transport Experiments
The fast filter method was used for data collection. In the picture, I refer to the intensity at 460 nm, and I0 refers to intensity at 403 nm. To calculate EC50 and Hill coefficient n, we used the fractional activity Y. Y was calculated for each curve using the normalized value of I460/I403 (just before lysis of the vesicles). We expressed Y as a function of time, and we performed fittings using a 2parameter equation, which is, Hill equation: Y = Yblank + (Ymax − Yblank)/(1 + (EC50/[C]) n ), from which Yblank is the fractional activity from the experiment of blank and Ymax is the largest fractional activity from the same series of experiments.
The generation of functional transporting superstructures of 1, r2, s2 and 3 is based on three encoded features: (1) they contain macrocyclic cation-binding moieties [3][4][5][6][7][8]; (2) the supramolecular guiding interaction is the urea head-to-tail H-bond association, reminiscent with the amide Hbonding moiety in protein [9][10][11][12][13][14][15]; (3) the alkyl tails control the H-bonding self-assembly and induce variable hydrophobic stabilization at the interface with the bilayer membrane. 1 CDCl3 of 1, r2, s2, 3 show a variable downfield shift of both NH protons upon increasing the concentration, which is indicative of self-association through intermolecular H-bonding (Figure 2, Figures S9-S11). To quantify the degree of the aggregation, the NH shifts at different concentrations were fitted to the NMR CoEK aggregation model (Nelder-Mead method) using Bindfit [9]. The determined values of the aggregation constants, as well as the cooperativity factors, are given in Table 1. There is encouraging strong cooperative Hbonding effect. The most associated compound 1 contains the linear n-octyl sidearm while the formation of aggregates is hindered when crowded supplementary residues block the H-bonding and slightly deactivate (~25% decrease) the self-association in r2, s2 and 3.  The ion-transport activities were evaluated by the HPTS assay [24,25]. L-α-phosphatidylcholine, EYPC liposomes (Large Unilamellar Vesicles-LUV, 100 nm) were filled with a pH-sensitive dye, HPTS and 100 mM NaCl in a phosphate buffer (10 mM, pH 6.4). The liposomes were then suspended in an external phosphate buffer (10 mM, pH 6.4) containing 100 mM of MCl, M + = Na + , K + . Then, after addition of 1, r2, s2, 3 in the bilayer membrane via injection of 20 μL of compound aliquots from stock 10 mM Dimethylsulfoxide (DMSO) solutions, see the final concentration values (% mol of the compound/mol of lipid) in hill plot analyses in Figure S12-S25), an external pH gradient was created by addition of NaOH. The internal pH change inside the liposome was monitored by the change in the fluorescence of HPTS (Figure 3a,b) [26].

H NMR dilutions experiments on solutions in
Compounds 1, r2, s2, and 3 are presenting subtle variations on the transport activities of monovalent K + and Na + cations, depending the structure of isomeric octyl substituents of ureidobenzo-15-crown-5 macrocycle. We note that enantiomers s2 and r2 have rather same activity for translocation of K + and Na + at the same concentration (Figure 3c). Under the same conditions, compounds 1, r2, s2 and 3 (12.9 mol%) present one order of magnitude higher initial transport rate for K + cations than for Na + , with kinetic selectivity of SK+/Na+ = 3 to 6.6, depending on the compound (Tables S1 and S2 and Figure 4a).
Hill analysis [27] ( Table 2, Figures S12-S25) revealed all macrocycles present K + over Na + selectivity, which is consistent with previous results. [8,15] Compound 1 is the most active, as it has the lowest EC50 for both Na + (10.6 mol%), and K + (4.1 mol%), much lower than its isomers following the transport activity sequence of 1 > s2 > 3 within the μM concentration range. Compared with Valinomicin (EC50K+ = 5 pM) they are several orders of magnitude for K + activity. All the Hill coefficients are above 2, indicative of a formation of self-assembled aggregates containing more than two molecules of macrocycles, which transport cooperatively the cations, contrarily to Valinomycin acting as a carrier with a Hill number = 1 [27]. According to our previous results, the addition of alkyl-benzoureido-15-crown-5-ether channels in the membrane generate a quite stable transmembrane potential, following a K + > H + electrogenic antiport through the lipid bilayer [15]. We also know that the simultaneous addition of macrocycles and FCCP leads to the electrical coupling of fluxes and the transport can proceed without a potential across the membrane via a non-electrogenic exchange [28,29]. . Bar graphs showing (a) the pseudo-first-order rate constants k (s −1 ) for the transport of K + and Na + cations and (b) rate enhancement and K + /Na + selectivity, for the macrocyclic carriers 1, s2, 3, (12.9 mol%) in presence or absence of protogenic FCCP carrier. Table 2. Hill analysis results of K + and Na + transport with crown ethers 1, r2, s2, 3, in the presence or absence of FCCP. EC50 values expressed as mol% (% molar of compound/lipid needed to obtain 50% ion transport activity) and n is the Hill coefficient. As can be seen from Figure 4, the electrogenic component of the macrocyclic compoundmediated cation influx is stimulated by the addition of 0.1 mol% FCCP proton carrier as well, which overcome the proton transport rate-limiting barrier with a special emphasis for the transport of K + cations for which the transport rate show a 12 to 27 fold increase. This result is valid for all studied macrocycles 1, r2, s2, 3, for which the fractional activities Y for K + cations are also higher. This is also obvious from the EC50 values, which are strongly improving for K + but not for Na + . FCCP improves transport efficiency, but more impressively, we observe an increase of SK + /Na + selectivity from 6.6 to 45.5 in the case of 2 and from 3.6 to 48.8 in the case of 3.

K + K + /FCCP
For all compounds, FCCP did improve transport activity towards Na + , although not as much as K + , and the rate of transport follows the sequence: K + > Na + > H + . As far as we know, simple artificial systems presenting so high K + /Na + selectivity are rare. It can be explained by several reasons: (i) The fact that these macrocycles can achieve this type of stable ionic potential, suited to drive protonic gradients, is simply due to their high selectivity for K + . We know from our previous studies that similar compounds are selective for the transport of K + cations, even in the presence of Na + cations. [15] (ii) the formation of complexes is highly controlled via the formation of carrier dimers (benzo-15-crown-5-ether2K + ) or higher oligomeric channels (benzo-15-crown-5-ethernK + ). [13] Log P = 3.63−3.66 values, which are often used for evaluating the lipophilicity of the compound, are quite similar for all studied compounds 1, r2, s2, 3, thus, their partitions within the membrane might be similar (Table 3). Within this context, the branched alkyl chains might have a negative impact on the formation of the aggregates inside the lipid bilayer. Branched alkyl tails may favor the presence of low dimensional self-assembles species of r2, s2, or 3. They show lower permeability than 1 ( Figure  4a), but they lead to an increased SK + /Na + selectivity via proton-mediated electrogenic conductance across the membrane (Figure 4b).

Conclusions
In conclusion, we demonstrated that macrocycles containing benzoureido-15-crown-5-ether cation-binding head and bearing linear or branched alkyl side-chains with almost identical lipophilicity, present completely different transport activities for translocations of cations across the lipid bilayer. The isomeric octyl-benzoureido-15-crown-5-ethers 1, r2, s2, 3 described here, are very intriguing electrogenic macrocycles presenting K + over Na + kinetic selectivity of SK+/Na+ = 3 to 6.6. Specifically, we have demonstrated that simple structural variation from linear to branched octyl chains are strongly influencing the transport activities of K + cations when compared with Na + cations. The electrogenic macrocyclic compound-mediated K + influx is highly increased up to 27 fold by the addition of FCCP proton carrier with a special emphasis for the transport of K + cations, for which the SK + /Na + selectivity, is increasing from 6.6 to 45.5 in the case of s2 and from 3.6 to 48.8 in the case of 3. This is a significant step forward toward the development of electrogenic macrocycles with high K + /Na + selectivity.
Supplementary Materials: The following are available online at www.mdpi.com/xxx/s1, Scheme S1: Synthesis of compounds 1, r,s2, 3, Figure S1: 1 H NMR spectrum of 1 (300 MHz, 298K, DMSO-d6), Figure S2: 13 Figure S12. Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of 1 and hill plot analysis of K + /H + antiport, Figure S13. Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of 1 and hill plot analysis of Na + /H + antiport, Figure S14 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of 1 coupled with FCCP (0.1 mol%) and hill plot analysis of K + /H + antiport, Figure S15 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of 1 coupled with FCCP (0.1 mol%) and hill plot analysis of Na + /H + antiport, Figure S16 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of s2 and Hill plot analysis of K + /H + antiport, Figure S17 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of s2 and hill plot analysis of Na + /H + antiport, Figure S18 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of s2 coupled with FCCP (0.1 mol%) and hill plot analysis of K + /H + antiport, Figure S19 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of s2 coupled with FCCP (0.1 mol%) and hill plot analysis of Na + /H + antiport, Figure S20 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of r2 coupled with FCCP (0.1 mol%) and hill plot analysis of K + /H + antiport, Figure S21 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of r2 coupled with FCCP (0.1 mol%) and hill plot analysis of Na + /H + antiport, Figure S22 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of 3 and hill plot analysis of K + /H + antiport, Figure S23 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of 3 and hill plot analysis of Na + /H + antiport, Figure S24 Normalized I460/I403 for transporting K + across the bilayer membrane facilitated by different amount of 3 coupled with FCCP (0.1 mol%) and hill plot analysis of K + /H + antiport, Figure S25 Normalized I460/I403 for transporting Na + across the bilayer membrane facilitated by different amount of 3 coupled with FCCP (0.1 mol%) and hill plot analysis of Na + /H + antiport, Figure S26. HR-MS spectra of compounds 1, r2, s2, 3, Table S1 Pseudo first-order rate constants k (s -1 ) for the transport of K + /H + through LUVs at different concentrations of the compounds to lipid without or with proton transporter FCCP, Table S2 Pseudo first-order rate constants k (s -1 ) for the transport of Na + /H + through LUVs at different concentrations of the compounds to lipid without or with proton transporter FCCP. The initial rate for the blank has already been subtracted from all the rates.