Quantifying molecular partition into model systems of biomembranes: an emphasis on optical spectroscopic methods

Optical spectroscopies have been intensively used to determine partition coefficients by a plethora of methodologies. The present review is intended to give detailed and useful information for the determination of partition coefficients and addresses several relevant aspects, namely: (i) definition and calculation of the partition coefficient between aqueous and lipidic phases; (ii) partition coefficients vs. "binding" formalisms; (iii) advantages of spectroscopic methodologies over separation techniques; (iv) formalisms for various experimental approaches based on UV-Vis absorption or fluorescence parameters (fluorescence intensity, lifetime, anisotropy and quenching); (v) experimental hints, artifacts and model limitations; and (vi) a brief survey of nonoptical techniques.     

Interaction of peptides with binary phospholipid membranes: application of fluorescence methodologies

The application of fluorescence methodologies to obtain information about the extent, dynamics and topology of peptide interaction with binary phospholipid (mainly zwitterionic/anionic) mixtures is reviewed. First, general approaches based on peptide (tryptophan residues) fluorescence properties that give information about its partition, location and dynamics will be presented. Then, methodologies based on membrane probes fluorescence that report the influence of peptide binding and/or incorporation on the lateral organization (phase separation) of membrane phospholipids will be described. Specific examples taken from the literature that illustrate both situations are presented as well as formalisms for data analysis. It is shown that steady-state and time-resolved fluorescence data (particularly important in the case of fluorescence resonance energy transfer studies) give complementary information, allowing a molecular picture of peptide interaction with biphasic systems to be drawn.     

Octanol–water partition of nonzwitterionic peptides: Predictive power of a molecular size-based model

A remarkably simple, molecular size-based model developed to predict octanol–water partition coefficients for organic compounds is tested on a set of 188 neutral peptides with available experimental partition data. Despite using only two parameters, it gives a promising correlation (r² = 0.914; σ = 0.455, F = 1978.0), and predictions are in a realistic range even for larger peptides (cyclosporin, melanotan, sandostatin) where common, overparametrized fragment methods become quite unreliable. Ion-pair partitioning and the extraction constant formalism is briefly reviewed to describe the sigmoidal lipophilicity profile of ionizable, nonzwitterionic peptides. It seems possible to extend the present model to estimate apparent partition coefficients measured around neutral pH and physiological conditions for monoionic peptides; however, as no standard conditions are yet defined and only relatively small number of experimental data are available, the situation here is more complex. Proteins 30:86–99, 1998. © 1998 Wiley-Liss, Inc.     

Octanol-water partition coefficient of glucose, sucrose, and trehalose

The octanol-water partition coefficients (P) of glucose, sucrose, and trehalose were measured at temperatures between 5 and 20 degrees C using an enzymatic method. The measured log P is compared with calculated and experimental data previously reported. In the case of trehalose, the measured log P differs considerably from the theoretically estimated values and agrees with the expected value for a disaccharide. Some methods of assessing the partition coefficients are also analyzed and it is concluded that the atom/fragment contribution method overestimates the hydrophilicity of disaccharides and, probably in a larger extension, that of trisaccharides. The knowledge of P for these sugars is valuable both for basic or applied purposes, including food and biomolecules stabilization.     

Binding of a fluorescent dansylcadaverine-substance P analogue to negatively charged phospholipid membranes

We have investigated the binding of a new dansylcadaverine derivative of substance P (DNC-SP) with negatively charged small unilamellar vesicles composed of a mixture of phosphatidylcholine (PC) and either phosphatidylglycerol (PG) or phosphatidylserine (PS) using fluorescence spectroscopic techniques. The changes in fluorescence properties were used to obtain association isotherms at variable membrane negative charges and at different ionic strengths. The experimental association isotherms were analyzed using two binding approaches: (i) the Langmuir adsorption isotherm and the partition equilibrium model, that neglect the activity coefficients; and (ii) the partition equilibrium model combined with the Gouy-Chapman formalism that considers electrostatic effects. A consistent quantitative analysis of each DNC-SP binding curve at different lipid composition was achieved by means of the Gouy-Chapman approach using a peptide effective interfacial charge (v) value of (0.95 +/- 0.02), which is lower than the physical charge of the peptide. For PC/PG membranes, the partition equilibrium constant were 7.8 x 10(3) M(-1) (9/1, mol/mol) and 6.9 x 10(3) M(-1) (7/3, mol/mol), whereas for PC/PS membranes an average value of 6.8 x 10(3) M(-1) was estimated. These partition equilibrium constants were similar to those obtained for the interaction of DNC-SP with neutral PC membranes (4.9 x 10(3) M(-1)), as theoretically expected. We demonstrate that the v parameter is a determinant factor to obtain a unique value of the binding constant independently of the surface charge density of the vesicles. Also, the potential of fluorescent dansylated SP analogue in studies involving interactions with cell membranes is discussed.     

Phloem mobility of xenobiotics: tabular review of physicochemical properties governing the output of the Kleier model

The Kleier model of phloem-mobility of xenobiotics combines the intermediate permeability hypothesis with the acid trap mechanism for weak acids. The output of the model is dependent on the lipophilicity of a compound, for which octanol/water partition coefficients (log K_ow) have been used as a measure. The membrane permeability of xenobiotics is predicted from these partition coefficients, and the nature of the sieve tube membranes has been modelled using regressions derived from Nitella or potato permeability data. A wide range of log K_ow values for herbicides, fungicides, insecticides and experimental compounds (400) have been tabulated along with the model output for various membrane parameters. The application of the model is in broad agreement with literature and experimental observations on many of the known phloem mobile herbicides and predicts low phloem mobility for the fungicides and insecticides considered here, again in agreement with the literature. The behaviour of herbicides representative of the main chemical families and modes of action are reviewed, along with examples of the few phloem-mobile fungicides and insecticides identified.Abbreviations K_ow octanol-water partition coefficient - pK_a –log₁₀ acid dissociation constant - C_f Concentration factor - P membrane permeability     

Fluorescence quenching in model membranes An analysis of the local phospholipid environments of diphenylhexatriene and gramicidin A′

Interactions between the fluorophors diphenylhexatriene or gramicidin A′ and lipids are examined using a spin-labeled phosphatidylcholine as a fluorescence quenching probe. It is found that in phospholipid vesicles of mixed lipid composition at temperatures where phospholipids are completely in the liquid crystal phase, several different species of phosphatidylcholines are randomly distributed around the fluorophors. In vesicles of mixed lipid composition which can undergo thermally induced phase separations, the fluorescence quenching observed at lower temperatures reflects a non-random distribution of lipids around each fluorophor. This observation is explained in terms of the partition of fluorophor between a spin-labeled lipid-rich liquid crystal phase, and a spin-labeled lipiddepleted gel phase. Gramicidin A′ strongly favors partition into the liquid crystal phase, whereas diphenylhexatriene partitions about equally between the two lipid phases. A method is described utilizing fluorescence quenching for the calculation of the partition coefficient for a fluorophor. The partition coefficients so calculated are shown to be in good agreement with previously reported values derived from other methods. It is also shown that Ca²⁺-induced lipid phase separations can be monitored by fluorescence quenching.     

Partition coefficients of beta-blockers in bile salt/lecithin micelles as a tool to assess the role of mixed micelles in gastrointestinal absorption

The objective of this study was to develop non-invasive spectroscopic methods to quantify the partition coefficients of two beta-blockers, atenolol and nadolol, in aqueous solutions of bile salt micelles and to assess the effect of lecithin on the partition coefficients of amphiphilic drugs in mixed bile salt/lecithin micelles, which were used as a simple model for the naturally occurring mixed micelles in the gastrointestinal tract. The partition coefficients (Kp) at 25.0 +/- 0.1degreesC and at 0.1 M NaCl ionic strength were determined by spectrofluorimetry and by derivative spectrophotometry, by fitting equations that relate molar extinction coefficients and relative fluorescence intensities to the partition constant Kp. Drug partition was controlled by the: (i) drug properties, with the more soluble drug in water (atenolol) exhibiting smaller values of Kp, and with both drugs interacting more extensively in the protonated form; and by (ii) the bile salt monomers, with the dihydroxylic salts producing larger values of Kp for the beta-blockers, and with glycine conjugation of the bile acid increasing the values of Kp for the beta-blockers. Addition of lecithin to bile salt micelles decreases the values of Kp of the beta-blockers. Mixed micelles incorporate hydrophobic compounds due to their large size and the fluidity of their core, but amphiphilic drugs, for which the interactions are predominantly polar/electrostatic, are poorly incorporated in mixed micelles of bile salts/lecithin.     

FRET Detects the Size of Nanodomains for Coexisting Liquid-Disordered and Liquid-Ordered Phases

Biomembranes with as few as three lipid components can form coexisting liquid-disordered (Ld) and liquid-ordered (Lo) phases. In the coexistence region of Ld and Lo phases, the lipid mixtures 1,2-distearoyl-sn-glycero-3-phosphocholine (DSPC)/1,2-dioleoyl-sn-glycero-3-phosphocholine (DOPC)/chol or brain sphingomyelin (bSM)/DOPC/chol form micron-scale domains that are easily visualized with light microscopy. Although large domains are not observed in the mixtures DSPC/1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC)/chol and bSM/POPC/chol, lateral heterogeneity is nevertheless detected using techniques with nanometer-scale spatial resolution. We propose a simple and accessible method to measure domain sizes below optical resolution (～200 nm). We measured nanodomain size for the latter two mixtures by combining experimental Förster resonance energy transfer data with a Monte-Carlo-based analysis. We found a domain radius of 7.5?10 nm for DSPC/POPC/chol, similar to values obtained previously by neutron scattering, and ～5 nm for bSM/POPC/chol, slightly smaller than measurable by neutron scattering. These analyses also detect the domain-size transition that is observed by fluorescence microscopy in the four-component lipid mixture bSM/DOPC/POPC/chol. Accurate measurements of fluorescent-probe partition coefficients are especially important for the analysis; therefore, we exploit three different methods to measure the partition coefficient of fluorescent molecules between Ld and Lo phases.     

Partition coefficients of fluorescent probes with phospholipid membranes

A method for determination of membrane partition coefficients of five fluorescent membrane probes, 1,6-diphenyl-1,3,5-hexatriene (DPH), p-((6-phenyl)-1,3,5-hexatrienyl) benzoic acid (DPH carboxylic acid), 3-(p-(6-phenyl)-1,3,5-hexatrienyl)phenylpropionic acid (DPH propionic acid), 1-(4-trimethylammoniumphenyl)-6-phenyl-1,3,5-hexatriene (TMA-DPH) and N-4-(4-didecylaminostyryl)-N-methylpyridinium iodide (4-di-10-ASP), was developed utilizing the fluorescence enhancement of a constant probe concentration by titration with excess phospholipid liposomes. The partition coefficients of DPH, DPH carboxylic acid, DPH propionic acid, TMA-DPH and 4-di-10-ASP into dipalmitoylphosphatidylcholine membranes were determined to be 1.3.10(6), 1.0.10(6), 6.5.10(5), 2.4.10(5) and 2.8.10(6) respectively. Knowledge of the partition coefficients may help select a lipid concentration for membrane studies that necessitate a probe's dominant incorporation into membranes.     

Thermodynamic modeling of the partitioning of biomolecules in aqueous two-phase systems using a modified Flory–Huggins equation

A modified Flory–Huggins equation accounting for the solvation of polymer molecules by water molecules was used to model the phase behavior of aqueous two-phase systems (ATPS) formed by poly(ethylene glycol) (PEG) and dextran. The parameters of the equation were obtained by fitting experimental equilibrium data either accounting for or disregarding dextran polidispersity. The modified equation was subsequently applied to calculate partition coefficients of biomolecules in these systems. It was found that accounting for polidispersity did not affect significantly the calculated phase equilibrium, but increased the agreement of calculated partition coefficients with experimental data. Further improvement was obtained by using a size dependent interaction parameter for dextran pseudo-components.     

Fluid-fluid membrane microheterogeneity: a fluorescence resonance energy transfer study

Large unilamellar vesicles of dimyristoylphosphatidylcholine/cholesterol mixtures were studied using fluorescence techniques (steady-state fluorescence intensity and anisotropy, fluorescence lifetime, and fluorescence resonance energy transfer (FRET)). Three compositions (cholesterol mole fraction 0.15, 0.20, and 0.25) and two temperatures (30 and 40 degrees C) inside the coexistence range of liquid-ordered (l(o)) and liquid-disordered (l(d)) phases were investigated. Two common membrane probes, N-(7-nitrobenz-2-oxa-1,3-diazol-4-yl)-dimyristoylphosphatidylethanolamine (NBD-DMPE) and N-(lissamine(TM)-rhodamine B)-dimyristoylphosphatidylethanolamine (Rh-DMPE), which form a FRET pair, were used. The l(o)/l(d) partition coefficients of the probes were determined by individual photophysical measurements and global analysis of time-resolved FRET decays. Although the acceptor, Rh-DMPE, prefers the l(d) phase, the opposite is observed for the donor, NBD-DMPE. Accordingly, FRET efficiency decreases as a consequence of phase separation. Comparing the independent measurements of partition coefficient, it was possible to detect very small domains (<20 nm) of l(o) in the cholesterol-poor end of the phase coexistence range. In contrast, domains of l(d) in the cholesterol-rich end of the coexistence range have comparatively large size. These observations are probably related to different processes of phase separation, nucleation being preferred in formation of l(o) phase from initially pure l(d), and domain growth being faster in formation of l(d) phase from initially pure l(o).     

Partitioning of (+-)-5,6-dihydro-6-phenyl-2-n-alkyl-imidazo- [2,1-b]thiazoles into large unilamellar liposomes: a steady-state fluorescence quenching study.

The interaction of the tetramisole derivative (+-)-5,6-dihydro-6-phenyl-imidazo[2,1-b]thiazole and a number of its 2-n-alkyl homologues (-ethyl through -n-pentyl and -n-heptyl) with large unilamellar phosphatidylcholine/phosphatidylethanolamine/dipalmitoylphosphatidic acid (2:1:0.06, w/w) vesicles was studied by means of steady-state fluorescence quenching using 8-(2-anthryl)octanoic acid as membrane probe. Linear Stern-Volmer plots were obtained for each derivative, indicating dynamic quenching. The slopes of the plots decreased with increasing liposomal concentration. For four short-chain homologues (-H, -ethyl, -n-propyl and -n-butyl), the respective membrane partition coefficients Kp and bimolecular quenching rate constants kq were determined from the plots of the reciprocal of the apparent quenching rate constant (kappq)-1 against the lipid volume fraction alpha L of the liposomes. The partition coefficients increased with increasing chain-length of the tetramisoles. A linear relationship was found between the free energy of partitioning and the number of methylene units of the homologues (-delta G degrees per methylene group = 1.6 +/- 0.1 kJ mol-1). For the n-pentyl and n-heptyl derivatives, the fluorescence quenching technique did not allow one to determine their membrane partition coefficients. Analysis of the fluorescence intensity measurements with Scatchard plots gave further evidence for the partitioning nature of the tetramisole derivatives' association with the liposomal membranes.     

Passive Membrane Penetration of the Serotonin Precursor 5‐Hydroxytryptophan is Controlled by Its Zwitterion

Species‐specific partition coefficients in the octanol/water system were determined for the neurotransmitter serotonin (5‐HT) and its precursor 5‐hydroxytryptophan (5‐HTP). The pH‐independent partition coefficients (p) of the individual microspecies were determined by combination of experimentally measured distribution constants and a custom‐tailored evaluation method, using highly similar auxiliary compounds. Experimental microscopic partition coefficients for triprotic molecules have only been reported before for thyroxine and its derivatives. The parabolic pH‐distribution profile of 5‐HT shows the dominance of the lipophilic non‐charged microspecies, with a log p of 0.66. However, the most lipophilic non‐charged form of 5‐HTP, with a log p of 0.31, has no significant contribution to the distribution coefficient at any pH value. Instead, the less lipophilic zwitterionic protonation isomer dominates the distribution in the pH range 2.10 – 11.11. Although the non‐charged microspecies of 5‐HTP is 151 times more lipophilic than its zwitterionic protonation isomer, the overwhelming dominance of the zwitterionic form ensures that its contribution to the overall lipophilicity exceeds 1320 times that of the non‐charged one. This fact is another counter‐example of the widespread belief that passive diffusion into lipophilic media is predominated by the non‐charged species. The lipophilicity profile of 5‐HT and 5‐HTP is depicted in terms of species‐specific lipophilicities.     

Partition coefficients of plant cuticles for monoterpenes

Summary Cuticle/water partition coefficients (K_c/w) for d-limonene, -pinene and -pinene were determined by an extrapolation and a desorption method. The sorption experiments were carried out with isolated angiosperm and gymnosperm cuticles and with [¹⁴C]-labelled monoterpenes, which were obtained biosynthetically. Both methods were suitable for the determination of the K_c/w of volatile hydrophobic compounds. For the angiosperm cuticles the partition coefficients are of the order of 10⁴, which indicates a high accumulation of monoterpenes in the cuticle. The values of the conifer cuticles of Picea abies (L.) Karst. and Abies alba Mill., however, are lower due to their high lignin content. This is proved by the increase of the partition coefficients after removal of polar and phenolic components. The K_c/w can be estimated with good accuracy from the octanol/water partition coefficient, which was determined experimentally.     

Fragment based drug design and diversity-oriented synthesis of carboxylic acid isosteres

The medicinal chemist toolbox is plenty of (bio)isosteres when looking for a carboxylic acid replacement. However, systematic assessment of acid surrogates is often time consuming and expensive, while prediction of both physicochemical properties (logP and logD) as well as acidity would be desirable at early discovery stages for a better analog design. Herein in this work, to enable decision making on a project, we have synthesized by employing a Diversity-Oriented Synthetic (DOS) methodology, a small library of molecular fragments endowed with acidic properties. By combining in-silico and experimental methodologies these compounds were chemically characterized and, particularly, with the aim to know their physicochemical properties, the aqueous ionization constants (pKa), partition coefficients logD and logP of each fragment was firstly estimated by using molecular modeling studies and then validated by experimental determinations. A face to face comparison between data and the corresponding carboxylic acid might help medicinal chemists in finding the best replacement to be used. Finally, in the framework of Fragment Based Drug Design (FBDD) the small library of fragments obtained with our approach showed good versatility both in synthetic and physico-chemical properties.     

Phospholipid lateral phase separation and the partition of cis-parinaric acid and trans-parinaric acid among aqueous, solid lipid, and fluid lipid phases.

The partition of cis-parinaric acid (9,11,13,15-cis, trans, trans,cis-octadecatetraenoic acid, cis-PnA) and trans-parinaric acid (9,11,13,15-all-trans-octadecatetraenoic acid, trans-PnA) among aqueous, solid lipid, and fluid lipid phases has been measured by three spectroscopic parameters: absorption spectral shifts, fluorescence quantum yield, and fluorescence polarization. The solid lipid was dipalmitoylphosphatidylcholine (DPPC); the fluid lipid was palmitoyldocosahexaenoylphosphatidylcholine (PDPC). Mole fraction partition coefficients between lipid and water were determined by absorption spectroscopy to be for ci--PnA, 5.3 X 10(5) with a solid lipid and 9 X 10(5) with fluid lipid and, for trans-PnA, 5 X 10(6) with solid lipid and 1.7 X 10(6) with fluid lipid. Ratios of the solid to the fluid partition coefficients (Kps/f) are 0.6 +/- 0.2 for cis-PnA and 3 +/- 1 for trans-PnA. A phase diagram for codispersions of DPPC and PDPC has been constructed from the measurements of the temperature dependence of the fluorescence quantum yield and polarization of cis-PnA and trans-PnA and their methyl ester derivatives. A simple analysis based on the phase diagram and fluorescence data allows additional calculations of Kps/f's which are determined to be 0.7 +/- 0.2 for the cis probes and 4 +/- 1 for the trans probes. The relative preference of trans-PnA for solid phase lipids and its enhanced quantum yield in solid phase lipids make it sensitive to a few percent solid. The trans probes provide evidence that structural order may persist in dispersions of these phospholipids 10 degrees C or more above their transition temperature. It is concluded that measurements of PnA fluorescence polarization vs. temperature are better suited than measurements of quantum yield vs. temperature for determining phospholipid phase separation.     

Dynamic quenchers in fluorescently labeled membranes. Theory for quenching in a three-phase system.

The theory for quenching of fluorescently labeled membranes by dynamic quenchers is described for a three-phase system: a fluorescently labeled membrane, a nonlabeled membrane, and an aqueous phase. Two different experimental protocols are possible to determine quenching parameters. Using the first protocol, partition coefficients and bimolecular quenching constants were determined for a hydrophobic quencher in carbazole-labeled membranes in the presence of an unlabeled reference membrane. These parameters determined for 1,1-dichloro-2,2-bis(p-chlorophenyl)ethylene (DDE) using this three-phase analysis were in good agreement with values determined by a two-phase analysis without the reference lipid. Hence, the theory was verified. In the second protocol, the quencher partition coefficient was determined for unlabeled membranes in the presence of a carbazole-labeled reference membrane. Partition coefficients for DDE determined by this method were the same as partition coefficients determined for carbazole-labeled membranes using the two-phase analysis. The greater ease in determining partition coefficients and bimolecular quenching constants by the three-phase analysis and, in particular, the ability to determine the partition coefficient in unlabeled membranes make the three-phase analysis especially useful. This method was used to study the effect varying the membrane lipid composition has on the partition coefficient. The data indicate that partition coefficients of DDE in fluid membranes are not dramatically dependent upon polar head group composition, fatty acid composition, or cholesterol content. However, partitioning into gel-phase lipids is at least 100-fold less than fluid-phase lipids.     

Systematic Approach to Solvent Selection for Biphasic Systems with a Combination of COSMO‐RS and a Dynamic Modeling Tool

Biphasic aqueous‐organic systems are important reaction systems for catalytic processes. This is especially true for biocatalysis where the range of accessible products can be significantly extended. In such systems, the aqueous phase is the reactive phase in which the biocatalyst is dissolved and the organic phase is nonreactive and acts as substrate reservoir and as in situ product extraction solvent. Here, the choice of the nonreactive phase is highly important for the overall performance of the system. In this contribution, a systematic approach to solvent selection for biphasic aqueous‐organic systems is presented with respect to partition coefficients. The model reaction is the stereoselective carbon‐carbon coupling of two 3,5‐dimethoxy‐benzaldehyde molecules to (R)‐3,3',5,5'‐tetramethoxy‐benzoin catalyzed by benzaldehyde lyase (EC 4.1.2.38) from Pseudomonas fluorescens. A systematic approach to solvent selection consisting of two steps is proposed: Firstly, the conductor‐like screening model for real solvents (COSMO‐RS) is used to facilitate a fast solvent screening. Since this is an ab initio approach it allows a pre‐screening without laborious experimental input. The proposed ranking of solvents, based on the ratio of partition coefficients at infinite dilution, is a sound basis for the successive steps. Secondly, a dynamic model is fitted to experimental data in order to obtain detailed and reliable results for mass transfer and partition coefficients. Therefore, the method makes efficient use of the experimental data and substantiates quantitative results with guided experiments.