Key determinants for signaling in the sensory rhodopsin II/transducer complex are different between Halobacterium salinarum and Natronomonas pharaonis.

The cell membrane of Halobacterium salinarum contains a retinal-binding photoreceptor, sensory rhodopsin II (HsSRII), coupled with its cognate transducer (HsHtrII), allowing repellent phototaxis behavior for shorter wavelength light. Previous studies on SRII from Natronomonas pharaonis (NpSRII) pointed out the importance of the hydrogen bonding interaction between Thr204NpSRII and Tyr174NpSRII in signal transfer from SRII to HtrII. Here, we investigated the effect on phototactic function by replacing residues in HsSRII corresponding to Thr204NpSRII and Tyr174NpSRII . Whereas replacement of either residue altered the photocycle kinetics, introduction of any mutations at Ser201HsSRII and Tyr171HsSRII did not eliminate negative phototaxis function. These observations imply the possibility of the presence of an unidentified molecular mechanism for photophobic signal transduction differing from NpSRII-NpHtrII.

Interhelical interactions between D92 and C218 in the cytoplasmic domain regulate proton uptake upon N-decay in the proton transport of Acetabularia rhodopsin II.

Acetabularia rhodopsin II (ARII or Ace2), an outward light-driven algal proton pump found in the giant unicellular marine alga Acetabularia acetabulum, has a unique property in the cytoplasmic (CP) side of its channel. The X-ray crystal structure of ARII in a dark state suggested the formation of an interhelical hydrogen bond between C218ARII and D92ARII, an internal proton donor to the Schiff base (Wada et al., 2011). In this report, we investigated the photocycles of two mutants at position C218ARII: C218AARII which disrupts the interaction with D92ARII, and C218SARII which potentially forms a stronger hydrogen bond. Both mutants exhibited slower photocycles compared to the wild-type pump. Together with several kinetic changes of the photoproducts in the first half of the photocycle, these replacements led to specific retardation of the N-to-O transition in the second half of the photocycle. In addition, measurements of the flash-induced proton uptake and release using a pH-sensitive indium-tin oxide electrode revealed a concomitant delay in the proton uptake. These observations strongly suggest the importance of a native weak hydrogen bond between C218ARII and D92ARII for proper proton translocation in the CP channel during N-decay. A putative role for the D92ARII-C218ARII interhelical hydrogen bond in the function of ARII is discussed.

Existence of two O-like intermediates in the photocycle of Acetabularia rhodopsin II, a light-driven proton pump from a marine alga.

A spectrally silent change is often observed in the photocycle of microbial rhodopsins. Here, we suggest the presence of two O intermediates in the photocycle of Acetabularia rhodopsin II (ARII or also called Ace2), a light-driven algal proton pump from Acetabularia acetabulum. ARII exhibits a photocycle including a quasi-equilibrium state of M, N, and O (M⇄N⇄O→) at near neutral and above pH values. However, acidification of the medium below pH ~5.5 causes no accumulation of N, resulting in that the photocycle of ARII can be described as an irreversible scheme (M→O→). This may facilitate the investigation of the latter part of the photocycle, especially the rise and decay of O, during which molecular events have not been sufficiently understood. Thus we analyzed the photocycle under acidic conditions (pH ≤ 5.5). Analysis of the absorbance change at 610 nm, which mainly monitors the fractional concentration changes of K and O, was performed and revealed a photocycle scheme containing two sequential O-states with the different molar extinction coefficients. These photoproducts, termed O1 and O2, may be even produced at physiological pH, although they are not clearly observed under this condition due to the existence of a long M-N-O equilibrium.

Formation of M-Like Intermediates in Proteorhodopsin in Alkali Solutions (pH ≥ ∼8.5) Where the Proton Release Occurs First in Contrast to the Sequence at Lower pH.

Proteorhodopsin (PR) is an outward light-driven proton pump observed in marine eubacteria. Despite many structural and functional similarities to bacteriorhodopsin (BR) in archaea, which also acts as an outward proton pump, the mechanism of the photoinduced proton release and uptake is different between two H(+)-pumps. In this study, we investigated the pH dependence of the photocycle and proton transfer in PR reconstituted with the phospholipid membrane under alkaline conditions. Under these conditions, as the medium pH increased, a blue-shifted photoproduct (defined as Ma), which is different from M, with a pKa of ca. 9.2 was produced. The sequence of the photoinduced proton uptake and release during the photocycle was inverted with the increase in pH. A pKa value of ca. 9.5 was estimated for this inversion and was in good agreement with the pKa value of the formation of Ma (∼ 9.2). In addition, we measured the photoelectric current generated by PRs attached to a thin polymer film at varying pH. Interestingly, increases in the medium pH evoked bidirectional photocurrents, which may imply a possible reversal of the direction of the proton movement at alkaline pH. On the basis of these findings, a putative photocycle and proton transfer scheme in PR under alkaline pH conditions was proposed.

The effects of chloride ion binding on the photochemical properties of sensory rhodopsin II from Natronomonas pharaonis.

Whether Cl(-) binds to the sensory rhodopsin II from Natronomonas pharaonis (NpSRII) that acts as a negative phototaxis receptor remains controversial. Two previous photoelectrochemical studies using SnO2 transparent electrodes and ATR-FTIR demonstrated that Cl(-) binding affects the photoinduced proton release from Asp193 in phospholipid (PC)-reconstituted NpSRII (Iwamoto et al., 2004; Kitade et al., 2009). In this study, we investigated the effects of Cl(-) on the photochemistry of NpSRII solubilized by detergent (DDM). Even under these conditions, Cl(-) could bind to NpSRII with a Kd of approximately 250 mM; this value is ∼ 10-fold larger than that in the PC membrane. The binding of Cl(-) to NpSRII depended on the pH of the medium. In addition, Cl(-) binding induced the following effects: (1) a small red shift in the absorbance spectrum originating from the partial protonation of Asp75, (2) the formation of an interaction through a hydrogen-bonding network between Asp75 and Asp193, which is a proton-releasing residue, (3) several changes of the kinetic behavior of the photocycle, and (4) a photoinduced initial proton release from Asp193. The pKa values of Asp193 at various Cl(-) concentrations were also estimated. Based on the difference between the pKa values of Asp193 in Cl(-) bound and unbound NpSRII, the distance between the bound Cl(-) and Asp193 was determined to be approximately 6.1 Å, which agrees with the value estimated from the crystal structure presented by Royant et al. (2001). Therefore, the Cl(-) binding site affecting the photochemical properties of NpSRII is identical to the site proposed by Royant et al. (2001). This assignment was also supported by an experiment that introduced a mutation at Arg72.

Electrophysiological characterization of human Na⁺/taurocholate cotransporting polypeptide (hNTCP) heterologously expressed in Xenopus laevis oocytes.

The Na(+)/taurocholate cotransporting polypeptide (NTCP) plays a major role in Na(+)-dependent bile acid uptake into hepatocytes. The purpose of the present study was to establish the heterologous expression of human NTCP (hNTCP) in Xenopus laevis oocytes and to elucidate whether the transport of bile acid via hNTCP is electrogenic using electrophysiological techniques. First, we evaluated the uptake of taurocholate (TCA) by hNTCP heterologously expressed in Xenopus oocytes utilizing [(3)H]-labeled TCA. The uptake of 1.2 µM TCA by cRNA-injected oocytes increased more than 100-fold compared to H2O-injected oocytes, indicating that hNTCP is robustly expressed in the oocytes. hNTCP-mediated transport of TCA is saturable with a Michaelis constant of 10.5 ± 2.9 µM. The Na(+)-activation kinetics describing the relationship between the concentration of Na(+) and the magnitude of the TCA uptake rate by hNTCP were sigmoidal with a Hill coefficient of 2.3 ± 0.4, indicating the involvement of more than one Na(+) in the transport process. Ntcp in primary cultured hepatocytes from rats exhibited similar Na(+)-activation kinetics of TCA uptake rate with a Hill coefficient of 1.9 ± 0.1, suggesting that hNTCP could be expressed properly in the oocytes and exhibit the electrogenic property of Na(+)-coupled TCA transport. The transport of TCA via hNTCP was subsequently determined in the oocytes by the inward currents induced via TCA uptake under voltage (-50 mV). Two hundred micromolar TCA induced significant inward currents that were entirely abolished by the substitution of Na(+) with N-methyl-d-glucamine (NMDG) in the perfusate, indicating that the TCA-induced currents were obligatorily dependent on the presence of Na(+). The TCA-induced currents were saturable, and the substrate concentration needed for half-maximal induction of the current was consistent with the Michaelis constant. Transportable substrates, such as rosuvastatin and fluvastatin, also induced currents. These results in the hNTCP heterologously expressed in Xenopus oocytes directly demonstrated that hNTCP is an electrogenic Na(+)-dependent transporter.

Thermodynamic parameters of anion binding to halorhodopsin from Natronomonas pharaonis by isothermal titration calorimetry.

Halorhodopsin (HR), an inwardly directed, light-driven anion pump, is a membrane protein in halobacterial cells that contains the chromophore retinal, which binds to a specific lysine residue forming the Schiff base. An anion binds to the extracellular binding site near the Schiff base, and illumination makes this anion go to the intracellular channel, followed by its release from the protein and re-uptake from the opposite side. The thermodynamic properties of the anion binding in the dark, which have not been previously estimated, are determined using isothermal titration calorimetry (ITC). For Cl(-) as a typical substrate of HR from Natronomonas pharaonis, ΔG=-RT ln(1/K(d))=-15.9 kJ/mol, ΔH=-21.3 kJ/mol and TΔS=-5.4 kJ/mol at 35 °C, where K(d) represents the dissociation constant. In the dark, K(d) values have been determined by the usual spectroscopic methods and are in agreement with the values estimated by ITC here. Opsin showed no Cl(-) binding ability, and the deprotonated Schiff base showed weak binding affinity, suggesting the importance of the positively charged protonated Schiff base for the anion binding.

Photoinduced proton release in proteorhodopsin at low pH: the possibility of a decrease in the pK(a) of Asp227.

Proteorhodopsin (PR) is one of the microbial rhodopsins that are found in marine eubacteria and likely functions as an outward light-driven proton pump. Previously, we [Tamogami, J., et al. (2009) Photochem. Photobiol.85, 578-589] reported the occurrence of a photoinduced proton transfer in PR between pH 5 and 10 using a transparent ITO (indium-tin oxide) or SnO(2) electrode that works as a time-resolving pH electrode. In the study presented here, the proton transfer at low pH (<4) was investigated. Under these conditions, Asp97, the primary counterion to the protonated Schiff base, is protonated. We observed a first proton release that was followed by an uptake; during this process, however, the M intermediate did not form. Through the use of experiments with several PR mutants, we found that Asp227 played an essential role in proton release. This residue corresponds to the Asp212 residue of bacteriorhodopsin, the so-called secondary Schiff base counterion. We estimated the pK(a) of this residue in both the dark and the proton-releasing photoproduct to be ~3.0 and ~2.3, respectively. The pK(a) value of Asp227 in the dark was also estimated spectroscopically and was approximately equal to that determined with the ITO experiments, which may imply the possibility of the release of a proton from Asp227. In the absence of Cl(-), we observed the proton release in D227N and found that Asp97, the primary counterion, played a key role. It is inferred that the negative charge is required to stabilize the photoproducts through the deprotonation of Asp227 (first choice), the binding of Cl(-) (second choice), or the deprotonation of Asp97. The photoinduced proton release (possibly by the decrease in the pK(a) of the secondary counterion) in acidic media was also observed in other microbial rhodopsins with the exception of the Anabaena sensory rhodopsin, which lacks the dissociable residue at the position of Asp212 of BR or Asp227 of PR and halorhodopsin. The implication of this pK(a) decrease is discussed.

Photo-induced bleaching of sensory rhodopsin II (phoborhodopsin) from Halobacterium salinarum by hydroxylamine: identification of the responsible intermediates.

Sensory rhodopsin II from Halobacterium salinarum (HsSRII) is a retinal protein in which retinal binds to a specific lysine residue through a Schiff base. Here, we investigated the photobleaching of HsSRII in the presence of hydroxylamine. For identification of intermediate(s) attacked by hydroxylamine, we employed the flash-induced bleaching method. In order to change the concentration of intermediates, such as M- and O-intermediates, experiments were performed under varying flashlight intensities and concentrations of azide that accelerated only the M-decay. We found the proportional relationship between the bleaching rate and area under the concentration-time curve of M, indicating a preferential attack of hydroxylamine on M. Since hydroxylamine is a water-soluble reagent, we hypothesize that for M, hydrophilicity or water-accessibility increases specifically in the moiety of Schiff base. Thus, hydroxylamine bleaching rates may be an indication of conformational changes near the Schiff base. We also considered the possibility that azide may induce a small conformational change around the Schiff base. We compared the hydroxylamine susceptibility between HsSRII and NpSRII (SRII from Natronomonas pharaonis) and found that the M of HsSRII is about three times more susceptible than that of the stable NpSRII. In addition, long illumination to HsSRII easily produced M-like photoproduct, P370. We thus infer that the instability of HsSRII under illumination may be related to this increase of hydrophilicity at M and P370.

Ligand specificity determined by differentially arranged common ligand-binding residues in bacterial amino acid chemoreceptors Tsr and Tar.

Escherichia coli has closely related amino acid chemoreceptors with distinct ligand specificity, Tar for l-aspartate and Tsr for l-serine. Crystallography of the ligand-binding domain of Tar identified the residues interacting with aspartate, most of which are conserved in Tsr. However, swapping of the nonconserved residues between Tsr and Tar did not change ligand specificity. Analyses with chimeric receptors led us to hypothesize that distinct three-dimensional arrangements of the conserved ligand-binding residues are responsible for ligand specificity. To test this hypothesis, the structures of the apo- and serine-binding forms of the ligand-binding domain of Tsr were determined at 1.95 and 2.5 Å resolutions, respectively. Some of the Tsr residues are arranged differently from the corresponding aspartate-binding residues of Tar to form a high affinity serine-binding pocket. The ligand-binding pocket of Tsr was surrounded by negatively charged residues, which presumably exclude negatively charged aspartate molecules. We propose that all these Tsr- and Tar-specific features contribute to specific recognition of serine and aspartate with the arrangement of the side chain of residue 68 (Asn in Tsr and Ser in Tar) being the most critical.

Photochemistry of a putative new class of sensory rhodopsin (SRIII) coded by xop2 of Haloarcular marismortui.

Baliga et al. (2004) [1] reported the existence of a functionally unpredictable opsin gene, named xop2, in Haloarcula marismortui, a holophilic archaeon. Ihara et al. [38] performed molecular phylogenetic analysis and determined that the product of xop2 belonged to a new class of opsins in the sensory rhodopsins. This microbial rhodopsin was therefore named H. marismortui sensory rhodopsin III (HmSRIII). Here, we functionally expressed HmSRIII in Escherichia coli cell membranes to examine the photochemistry. The wavelength of maximum absorption (λ(max)) for HmSRIII was 506nm. We observed a very slow photocycle that completed in ∼50s. Intermediates were defined as M (λ(max)∼380nm), N (λ(max)∼460nm) and O (λ(max)∼530nm) 0.01s after the flash excitation. The nomenclature for these intermediates was based on their locations along the absorption maxima of bacteriorhodopsin. Analysis of laser-flash-photolysis data in the presence and absence of azide gave the following results: (1) an equilibrium between N and O was attained, (2) the direct product of the M-decay was O but not N, and (3) the last photo-intermediate (HmSRIII') had a λ(max) similar to that of the original, and its decay rate was very slow. Resonance Raman spectroscopy revealed that this N-intermediate had 13-cis retinal conformation. Proton uptake occurred during the course of M-decay, whereas proton release occurred during the course of O-decay (or exactly N-O equilibrium). Very weak proton-pumping activity was observed whose direction is the same as that of bacteriorhodopsin, a typical light-driven proton pump.

Anti-parallel membrane topology of a homo-dimeric multidrug transporter, EmrE.

EmrE in Escherichia coli belongs to the small multidrug resistance (SMR) transporter family. It functions as a homo-dimer, but the orientation of the two monomers in the membrane (membrane topology) is under debate. We expressed various single-cysteine EmrE mutants in E. coli cells lacking a major efflux transporter. Efflux from cells expressing the P55C or T56C mutant was blocked by the external application of membrane-impermeable SH-reagents. This is difficult to explain by the parallel topology configuration, because Pro55 and Thr56 are considered to be located in the cytoplasm. From both the periplasm and the cytoplasm, biotin-PE-maleimide, a bulky membrane-impermeable SH-reagent, could access the cysteine residue at the 25th position in the presence of transport substrates and at the 108th position. These observations support the anti-parallel topology in the membrane.

Constitutive activity in chimeras and deletions localize sensory rhodopsin II/HtrII signal relay to the membrane-inserted domain.

Halobacterium salinarum sensory rhodopsin II (HsSRII) is a phototaxis receptor for blue-light avoidance that relays signals to its tightly bound transducer HsHtrII (H. salinarum haloarchaeal transducer for SRII). We found that disruption of the salt bridge between the protonated Schiff base of the receptor's retinylidene chromophore and its counterion Asp73 by residue substitutions D73A, N or Q constitutively activates HsSRII, whereas the corresponding Asp75 counterion substitutions do not constitutively activate Natronomonas pharaonis SRII (NpSRII) when complexed with N. pharaonis haloarchaeal transducer for SRII (NpHtrII). However, NpSRII(D75Q) in complex with HsHtrII is fully constitutively active, showing that transducer sensitivity to the receptor signal contributes to the phenotype. The swimming behaviour of cells expressing chimeras exchanging portions of the two homologous transducers localizes their differing sensitivities to the HtrII transmembrane domains. Furthermore, deletion constructs show that the known contact region in the cytoplasmic domain of the NpSRII-NpHtrII complex is not required for phototaxis, excluding the domain as a site for signal transmission. These results distinguish between the prevailing models for SRII-HtrII signal relay, strongly supporting the 'steric trigger-transmembrane relay model', which proposes that retinal isomerization directly signals HtrII through the mid-membrane SRII-HtrII interface, and refuting alternative models that propose signal relay in the cytoplasmic membrane-proximal domain.

Anti-parallel membrane topology of two components of EbrAB, a multidrug transporter.

EbrAB is a multidrug-resistance transporter in Bacillus subtilis that belongs to the small multidrug resistance, and requires two polypeptides of both EbrA and EbrB, implying that it functions in the hetero-dimeric state. In this study, we investigated the transmembrane topologies of EbrA and EbrB. Various single-cysteine mutants were expressed in Escherichia coli cells, and the efflux activity was measured. Only mutants having a high activity were used for the topology experiments. The reactivity of a membrane impermeable NEM-fluorescein against the single cysteine of these fully functional mutants was examined when this reactive fluorophore was applied either from the outside or both sides of the cell membrane or in the denatured state. The results clearly showed that EbrA and EbrB have the opposite orientation within the membrane or an anti-parallel configuration.

Two-component bacterial multidrug transporter, EbrAB: Mutations making each component solely functional.

EbrAB in Bacillus subtilis belongs to a novel small multidrug resistance (SMR) family of multidrug efflux pumps. EmrE in Escherichia coli, a representative of SMR, functions as a homo-oligomer in the membrane. On the other hand, EbrAB requires a hetero-oligomeric configuration consisting of two polypeptides, EbrA and EbrB. Although both polypeptides have a high sequence similarity, expression of either single polypeptide does not confer the multidrug-resistance. We performed mutation studies on EbrA and B to determine why EbrAB requires the hetero-oligomerization. Mutants of EbrA and B lacking both the hydrophilic loops and the C-terminus regions conferred the multidrug-resistance solely by each protein. This suggests that the hydrophilic loops and the C-terminus regions constrain them to their respective conformations upon the formation of the functional hetero-oligomer.

The extracellular pH dependency of transport activity by human oligopeptide transporter 1 (hPEPT1) expressed stably in Chinese hamster ovary (CHO) cells: a reason for the bell-shaped activity versus pH.

Human oligopeptide transporter (hPEPT1) translocates di/tri-peptide by coupling to movement of proton down the electrochemical gradient. This transporter has the characteristics that the pH-profile of neutral dipeptide transport shows a bell-shaped curve with an optimal pH of 5.5. In the present study, we examined the reason for the decrease in the acidic region with hPEPT1-transfected CHO cells stably oeverexpressing hPEPT1 (CHO/hPEPT1). The pH profile of the transport activity vs. pH was measured in the presence of nigericin/monensin. Under this condition, the inwardly directed proton concentration gradient was dissipated while the membrane potential remained. As pH increased the activity increased, and the Henderson-Hasselbalch equation with a single pKa was fitted well to the activity curve. The pKa value was estimated to be 6.7+/-0.2. This value strongly suggests that there is a key amino acid residue, which is involved in pH regulation of transport activity. To identify the key amino acid residue, we examined the effects of various chemical modifications on pH-profile of the transport activity. Modification of carboxyl groups or hydroxyl groups had no significant influence on the pH-profile, whereas a chemical modification of histidine residue with diethylpyrocarbonate (DEPC) completely abolished the transport activity in CHO/hPEPT1 cells. On the other hand, this abolishment was almost prevented by the presence of 10 mM Gly-Sar. This protection was observed only in the presence of the substrate of hPEPT1, indicating that the histidine residue is located at the substrate recognition site. The pH-profile of the transport activity in CHO/hPEPT1 cells treated with DEPC in the presence of 10 mM Gly-Sar also showed a bell-shape similar to that in non-treated CHO/hPEPT1 cells. These data stressed that the histidine residue located at or near the substrate binding site is involved in the pH regulation of transport activity.

A light-driven proton pump from Haloterrigena turkmenica: functional expression in Escherichia coli membrane and coupling with a H+ co-transporter.

A gene encoding putative retinal protein was cloned from Haloterrigena turkmenica (JCM9743). The deduced amino acid sequence was most closely related to that of deltarhodopsin, which functions as a light-driven H+ pump and was identified in a novel strain Haloterrigena sp. arg-4 (K. Ihara, T. Uemura, I. Katagiri, T. Kitajima-Ihara, Y. Sugiyama, Y. Kimura, Y. Mukohata, Evolution of the archaeal rhodopsins: Evolution rate changes by gene duplication and functional differentiation, J. Mol. Biol. 285 (1999) 163-174. GenBank Accession No. AB009620). Thus, we called the present protein H. turkmenica deltarhodopsin (HtdR) in this report. Differing from the Halobacterium salinarum bacteriorhodopsin (bR), functional expression of HtdR was achieved in Escherichia coli membrane with a high yield of 10-15 mg protein/L culture. The photocycle of purified HtdR was similar to that of bR. The photo-induced electrogenic proton pumping activity of HtdR was verified. We co-expressed both HtdR and EmrE, a proton-coupled multi-drug efflux transporter in E. coli, and the cells successfully extruded ethidium, a substrate of EmrE, on illumination.

Measurement of electric current evoked by substrate transport via bi-directional H+/oligopeptide transporter over-expressed in HeLa cells: electrogenic efflux and existence of a newly observed channel-like state.

In the present study, we measured an electric current induced by substrate transport in a HeLa cell over-expressing a human intestinal di/tri-peptide transporter using the whole-cell patch-clamp technique. Gly-Sar, a typical substrate, induced an inward current associated with its uptake, which showed concentration-dependency following Michaelis-Menten-type kinetics with an apparent K(0.5) of 1.3mM as well as voltage-dependency. An outward current accompanying the efflux of Gly-Sar was also observed after washing out the cell. This outward current was voltage-dependent and was reduced by the inward proton gradient. In the case of hydrophobic dipeptides such as Gly-Phe and Gly-Leu, a distinctive current was observed: after washing out the cells, no outward current was observed, but rather, an 'inward leak' current was sustained in spite of the absence of transportable substrate. This leaky current was abolished by the perfusion of Gly-Sar and subsequent washing. It is considered that the hydrophobic substrate sticks within the substrate-binding site and causes the newly observed state, or the 'inward leak' current.

The elution profile of immobilized liposome chromatography: determination of association and dissociation rate constants.

The interaction of lipophilic cations, tetraphenylphosphonium and triphenylphosphonium homologues with liposomes was investigated using immobilized liposome chromatography (ILC). Large unilamellar liposomes with a mean diameter of 100 nm were stably immobilized in chromatographic gel beads by avidin-biotin. The distribution coefficient calculated from (Ve-V0)/Vs (Ve, retention volume; V0, the void volume; Vs, the stationary phase volume) was found to be independent of flow rate, injection amount and gel bed volume, which is consistent with chromatograph theory. The relationship between the bandwidth and solvent flow rate did not follow band-broadening theories reported thus far. We hypothesized that the solvent might be forced to produce large eddies, spirals or turbulent flow due to the presence of liposomes fixed in the gel. Therefore, we developed a new theory for ILC elution: The column is composed of a number of thin disks containing liposomes and solution, and within each disk the solution is well mixed. This theory accounts for our results, and we were able to use it to estimate the rate constants of association and dissociation of the phosphonium to/from liposomes.