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Melting of Single Lipid Components in Binary Lipid Mixtures: A Comparison between FTIR Spectroscopy, DSC and Monte Carlo Simulations PDF

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Melting of Single Lipid Components in Binary Lipid Mixtures: A Comparison between FTIR Spectroscopy, DSC and Monte Carlo Simula- tions 8 0 0 2 M. Fidorra†,‡, T. Heimburg† and H.M. Seeger†,⋆,∗ n a J †TheNielsBohrInstitute,UniversityofCopenhagen,Copenhagen,Denmark 3 ‡MEMPHYS-CenterofBiomembranePhysics,DepartmentofPhysics, ] UniversityofSouthernDenmark,Odense,Denmark h ⋆ CNR-INFMNationalResearchCenteron’nanoStructuresandbioSystemsatSurfacesS3’, p Modena,Italy - o i Monte Carlo (MC) Simulations, Differential Scanning Calorimetry (DSC) and Fourier Transform InfraRed (FTIR) b spectroscopy were used to study the melting behavior of single lipid components in two-component membranes of 1,2- . s Dimyristoyl-D54-sn-Glycero-3-Phosphocholine (DMPC-d54) and 1,2-Distearoyl-sn-Glycero-3-Phosphocholine (DSPC). c i MicroscopicinformationonthetemperaturedependentmeltingofthesinglelipidspeciescouldbeinvestigatedusingFTIR. s The microscopic behavior measured could be well described by the results from the MC simulations. These simulations y h alsoallowedtocalculateheatcapacityprofilesasdeterminedwithDSC.Theseonesprovidemacroscopicinformationabout p melting enthalpiesand entropychangeswhich are not accessible with FTIR. Therefore, the MC simulationsallowed us to [ linkthetwodifferentexperimentalapproachesofFTIRandDSC. 2 v 4 keywords:domainformation;phaseseparation;FTIR;MCsimulation;DSC;meltingofsinglelipidcomponents 6 0 Introduction ture also called gel) to a liquid disordered (ld; or named as 0 fluid)phasearepresentinartificialandbiologicalmembranes . 2 Biologicalmembranesdisplaya complexlipid composition. (13, 14, 15, 16, 17, 18). In the presence of cholesterolalso 1 Thereasonforthebigvarietyinlipidspeciesisstillnotclear. liquidorderedphasesdevelop(19). Consideringsinglelipid 7 Ithasbeenshownformanydifferentbacteriathattheirlipid membranes one finds that a higher degree of saturation or 0 : synthesisdependsonphysicalparameterssuchasgrowthtem- longerfattyacidsresultinhighermeltingtemperatures(20). v peratureorhydrostaticpressure(1,2,3,4,5,6,7,8,9,10,11, Therefore,onewouldexpectachangeofthemeltingbehav- i X regard also the citations given therein) . It could be shown ior of biological membranes in dependence of growth tem- r thatthemembranesofbacteriagrownathighertemperatures peratureorhydrostaticpressureandtherewithindependence a containmoresaturatedfattyacidchainsandchainstendtobe of lipid synthesis. Indeed, this has been demonstrated for longer (1, 2, 3, 4, 5, 6, 7, 8, 11, see also citations therein). theprominentexampleoftheinnermembraneofEscherichia Higherhydrostaticpressureinducesanincreasedsynthesisof coli(21). unsaturatedlipids(9, 10), whichhasalsobeenfoundforbi- Thedependenceoflipidsynthesisbyouterphysicalparam- ological membranesfrom several deep-sea fish tissues (12). eterssuchastemperatureorhydrostaticpressurewastermed Thisadaptionhasaninfluenceonthephysicalbehaviorofa “homeoviscousadaption”(22,23). Theunderlyingideawas biologicalmembranesuchasthemeltingtransitionbehavior. thatforapropercellfunctionthemembraneneedstoprovide Melting transitions from a solid ordered (so; in the litera- acertainviscosity. Inthiscontextthewidelyusedterm“flu- idity”wasintroducedintheliterature. Itshould,however,be Abbreviations: DSC,differential scanningcalorimetry; FTIR,fourier transform infrared spectroscopy; MC simulation, Monte Carlo simula- noted that this term lacks a clear definition. It was also ar- tion; DMPC, 1,2-dimyristoyl-sn-glycero-3-phosphocholine; DMPC-d54, gued againsta role of “fluidity” (24). An alternativerole of 1,2-dimyristoyl-d54-sn-glycero-3-phosphocholine; DSPC, 1,2-distearoyl- the adaption of lipid synthesis on outer physical parameters sn-glycero-3-phosphocholine ∗ Corresponding author: [email protected], Via G. Campi istoensureacontroloftheheterogeneityofthelateralmem- 213/A,41100Modena,Italy branestructure(25). Thisideahasobtainedspecialattention 1 2 Fidorraetal. withinthediscussionabout“rafts”(26). 19−20◦C (49,50). Artificial lipid membranes consisting of one, two or three Forthedescriptionof phaseseparationin lipidmembranes lipid components are suitable systems to study the general various theoretical approaches have been applied. This in- physicalbehavioroflipidphasetransitionsinmorecomplex cludesidealandregularsolutiontheory,meanfield,butalso lipidsystems. Inthephasecoexistenceregimedomainswith numericalapproachessuchasMonteCarlo(MC)simulations asizerangingfromafewnanometerstoseveralmicrometers (48, 51, 52, 53, 54). Ideal and regular solution theories al- forminmodelsystemsand canbe observedby a largevari- low the understandingof phase diagrams. In the ideal solu- ety of experimentaltechniques, such as Fluorescence Reso- tiontheorycompletemiscibilityinthesolidorderedandliq- nanceEnergyTransfer,AtomicForce MicroscopyandCon- uiddisorderedphaseisassumed. Theregularsolutiontheory focalFluorescenceMicroscopy(27,28,29,30,31). takesastepfurtherandregardsanon-idealmixinginthesolid ordered phase. These considerations allow the construction Already since the early 1970sthe idea that domainforma- ofphasediagrams.Phasediagramsareusedtomapthephase tionprocessescaninfluenceproteinactivityandfunctionwas behavior of lipid membranesin dependenceof e.g. temper- expressed(25, 32, 33). Inseveralpublicationsthe existence ature and lipid composition. The theoretically derivedlever ofdomainshavebeenshowntoprovideamechanismtocon- rule providesthe possibility to determine the ratio of disor- trolbiochemicalreactioncascades(34, 35, 36, 37, 38). Ev- dered and ordered lipids in dependence of temperature and idence that lipid phase transitions and domain coexistence lipidcompositionofbinarylipidmixturesandcanalsobeap- trigger enzyme activity has been found for various systems. pliedtoexperimentallymeasuredphasediagrams(48). Ideal Forexample,theenzymephospholipaseA2whichhydrolyzes or regular solution theory are, however, based on simplify- the sn-2 bond of phospholipids, producing a free fatty acid ingassumptions. Thisdoesnotonlyincludeanidealmixing and a lysolipid, is strongestin activity when the lipid mem- intheliquidphase,butalsotheassumptionofphasesepara- braneisinthelipidphasetransitionregime(39,40,41). The tionunderallconditionsinthemeltingregime.Thisis,how- activityofthespecialclassofphospholipaseA2typeIIAhas ever, not the case (55). Further, fluctuations which are en- beendemonstratedto berelatedto anenrichmentofanionic hancedin themeltingtransitionregimearepresent(56, 57). lipidsintold domains(42). Inthiscase,adifferentpartition This is where MC simulations analyzing simple models of behavior of the anionic lipids into ld and lo domains led to lipidchainmeltingenter. Theyallowtheconsiderationofin- a localconcentrationhigherthanthe thresholdvalueforen- teractions between different lipid species and varying chain zymeactivity.Changesintheopeningtimesandprobabilities state. The formation of lipid domains and phases and the ofcalciumchannelsreconstitutedinPOPE:POPCmembrane consideration of fluctuations is a direct consequence of the ofvariousratioshavebeeninterpretedtobeduetothecoex- thermodynamicsofthesesystemswhichisincludedinthese istenceofsolidorderedandliquiddisorderedphases(43). A models.Therefore,thesesimulationscandescribelipidmem- furtherexampleistheproteinkinaseC(PKC)whichmodifies branepropertiesinthevicinityoflipidphasetransitions,such proteinsbychemicallyaddingphosphategroups. Ithasbeen aschangesinmembranepermeability(58),fluctuationsinen- discussed that lateral heterogeneities of the lipid membrane thalpy(57)anddiffusionprocesses(59,60)well. control the activation of this enzyme (44, 45). In the latter study it has also been pointed out that domains enriched in In this study we determined the amount of the single lipid dioleoylglycerollipidsplayacrucialrole,butalsoalinearre- speciesinthedifferentdomainsofbinaryDMPCandDSPC lationshipbetweenPKCactivityandphosphatidylserinecon- mixturesbymeansofMCsimulationsandcomparedthere- tenthasbeenfound(46). Furthercommunicationscanbere- sultsobtainedtoexperimentaldatameasuredbyFourierTrans- trievedwhereaconnectionbetweenenzymeactivityandthe formInfraRedspectroscopy(FTIR). presenceofspecificlipidsandstructurearemade.Thisise.g. Among other techniquesFTIR is well suited to investigate alsothecaseforthecalciumATPase(47). themeltingbehavioroflipidmembranes.Inthesestudiesthe The publications cited above are only a small fraction of temperaturedependenceofvariousvibrationalmodesdueto manyin thatrespect, buttheyalreadyshow thatit is impor- structuralchangesprovideaversatiletoolinfollowingphase tantnotonlyto study domainformation,butalso to investi- transitions(61).Articleshavebeenpublishedonexperiments gatethefractionofthesinglelipidspeciesinlipidmembranes in which FTIR was used to measure nanoscale domain size showinglateralinhomogeneityduetophaseseparation. The (62)andchainorderparameters(63). singlelipidspecieswilloccurindifferentamountsinthedif- InourstudythehydrogenatomsofDMPCwerereplacedby ferent domains that form in a phase transition regime (48). deuteriumatoms. DuetothisthemeltingoftheDMPClipid Theworkpresentedhereconcentratesonthisforthecaseof chains could be separated from the DSPC lipid chain melt- abinarylipidmixturecomposedofDMPCandDSPC.These ing,astheCH2andCD2symmetricandasymmetricstretch twophospholipidsdisplaymeltingtransitioneventswithtran- vibrations differ in frequency due to the heavier deuterium sition midpoint temperatures of 23.6◦C or 54.4◦C, respec- atoms.Thisallowedustocomparethemeltingofsinglecom- tively(20).InourstudyweusedadeuteratedDMPCderivate ponentswith MC simulation results which contain informa- whose phase transition midpoint temperature lies at around tionofthedisorderedchainratioofsinglelipidcomponents. MeltingofSingleLipidComponents 3 MCsimulationsareabletodescribeexperimentalheatcapac- many) equipped with a mercury-cadmium-telluride (MCT) ity profileswell. Therefore,theyprovidea meansto couple detector. The spectrometer was flushed with nitrogen start- thetwodifferentexperimentalapproaches. ing about 30 minutes before the experiments. Temperature The experimental absorption spectra were evaluated using controlwasdonebyaselfbuiltsampleholderconnectedtoa twomethods.Oneofthemethodsprobedthetemperaturede- waterbath(DC30-K20,ThermoHaake,Karlsruhe,Germany). pendenceofthepositionoftheabsorptionmaximaoftheanti- Thescanrateforthetemperaturerampwassetto20◦C/h.The symmetricCD2 andsymmetricCH2 stretchvibrations. The temperatureinthesamplecorrespondingtoeachtemperature other one evaluated peak area changes of difference spectra point set with the water bath was appointed in a reference (DifferenceSpectramethod). Simulationresultsonthefrac- scan. Backgroundspectrawereacquiredateachtemperature tion of disordered chains of the single lipid species agreed point after lifting the sample compartment out of the beam well with the data found using the latter method. FTIR al- path. We were interested in the IR absorption due to the lowstodistinguishthemeltingofthesinglelipidspeciesand symmetric and asymmetric stretch vibrational modes of the itprobesthemicroscopicbehavior. DSCprobesthebulkbe- CH2andCD2groupsofthelipidfattyacidchains.Example haviorandmacroscopicobservables.TheMonteCarlosimu- absorption maxima of the CH2 symmetric and asymmetric lationswereusedasanapproachtocombinetheinformations stretch vibrations at different temperatures are displayed in ofthetwoexperimentaltechniques. DSC,MCandFTIRare theleftpaneloffig.2. a potent combination to investigate the melting behavior of Two methods to analyze the FTIR spectroscopy data were lipidmembranes. used. In a first approach FTIR spectroscopy data was pro- cessedwithaself-writtenpluginfortheIGORsoftwarepack- age(WaveMetrics,LakeOswego,OR,USA).Theabsorption Materials and Methods peakswerefittedwithapolynomialfunction. Thenthepeak positionwasdeterminedbycalculatingtherootofthefit. SamplePreparation: ForthesecondprotocolthepeakareaoftheCH2orrespec- Thelipids1,2-dimyristoyl-d54-sn-glycero-3-phosphocholine tivelyoftheCD2stretchvibrationswasnormalizedtoavalue (DMPC-d54)and1,2-distearoyl-sn-glycero-3-phosphocholine of 1×cm−1. A referencespectrum was chosen whichwas (DSPC)werepurchasedfromAvantiPolarLipids(Alabaster, taken at a temperature below the melting transition regime. USA). Samples were prepared from lipid stock solution in This spectrum was subtracted from all other spectra which chloroform. These were prepared in chloroform from lipid were recorded at different temperatures (see the right panel powder as delivered from the vendor without further purifi- of fig. 2). Then the peak area located at the positive axis of cation. To prepare lipid samples in buffer, chloroformfrom ordinateswascalculatedandplottedasafunctionoftemper- thedesiredamountoflipidstocksolutionmixturewasevap- ature. Therewasnodifferenceinsurveyingboth,symmetric orated under a stream of nitrogen and the sample was kept andantisymmetricmodesorthesingleones.Further,weshall under vacuum for several hours afterwards. After this pro- callthismethodtheDifferenceSpectramethod. cedure the dried lipid film was hydrated with preheated ul- trapurewateratatemperatureof60◦C,whichishigherthan the melting temperature of the higher melting lipid compo- Model: nentDSPC(54.4◦ C,(20))andkeptstirringatthistempera- We have already applied an Ising-like model to the study tureforabout30minutes.Incalorimetricexperimentsalipid of diffusion (59), fluctuation (57) and relaxation properties concentration of 10mM was used. The Fourier Transform (64) of DMPC:DSPC lipid mixtures. In this paper we used Infraredspectroscopymeasurementsrequiredconcentrations this model to describe FTIR measurements on mixtures of of 65mM. In order to facilitate lipid membrane hydration DMPC-d54andDSPC andlinkedthese withDSCmeasure- under these high concentrationsthe samples were subjected ments. toseveralfreeze-thawcycles. Themodelhasbeenpresentedindetailelsewhere(54, 59). Inshort, the modelisbasedonthe assumptionthatthelipid DSCexperiments: chain states can be describedby assigningeither an ordered DifferentialScanningCalorimetry(DSC)experimentswere ordisorderedstatetothefattyacidlipidchains. Lipidchains performedonaVP-DSC(MicroCal,Northampton,MA,USA) arearrangedonatriangularlatticeandonlynearestneighbor withascanrateof15◦C/h(DMPC-d54:DSPC50 : 50)orof interactionsareincluded. Lipidchainsmightchangethede- 5◦C/h (DMPC-d54)per hourin upscan direction. The sam- gree of order or their positions during the simulation. The pleswereequilibratedatthestartingtemperaturefor30min- model is evaluated with Monte Carlo (MC) simulations in utes. which the free energy difference of an old and a trial con- figurationissufficientfordecisionmakingoftheacceptance FourierTransformInfraRedspectroscopyexperiments: ofanewconfiguration.Thefreeenergyofthesystemcanbe FourierTransformInfraRed(FTIR)spectroscopyexperiments divided into a configuration dependent and an independent wereperformedonaVertex70(BrukerOptics,Bremen,Ger- part. Theconfigurationdependentcontributionequals(54): 4 Fidorraetal. MCsimulationswereusedtoevaluateasimplemodelbased on the assumption of two lipid chain states, the considera- ∆G(S) = N1d(∆H1−T∆S1)+N2d(∆H2−∆S2) tionofnearestneighborinteractionsonlyandtheapplication + Nodωod+Nooωoo+Nodωod (1) of a hexagonallattice. This model has already been shown 11 11 12 12 12 12 + N1d2dω1d2d+N1d2oω1d2o+N2o2dω2o2d, todescribemeltingprocessesinDMPC:DSPCmixturessuc- cessfully(54,57,59).Theevaluationneedsthedetermination where∆H and∆S aretheenthalpyandrespectiveentropy oftenparameters. Thesearetwiceenthalpyandentropydif- i i differences of the disordered to the ordered state of DMPC ferencesbetweenthetwodisorderedandorderedchainstates (i = 1) and DSPC (i = 2) lipid chains. ωmn are inter- and six unlike nearestneighborinteraction parameters. The ij action parameters of unlike nearest neighborsand Nmn the enthalpy and entropy changes can be deduced easily from ij corresponding number of the unlike nearest neighbor con- heatcapacitymeasurementsofthesingleonecomponentsys- tacts with (i 6= j) and (m 6= n). m and n denote the state tems. Two interaction parameters describe the cooperativ- ofachainwhichiseitherordered(o) ordisordered(d). En- ity, meaning the width of these transitions (65, 66). The thalpy, entropy and nearest neighbor interaction parameters fourparametersremainingneedtobededucedfromcompar- canbeobtainedfromexperimentallydeterminedheatcapac- isons with cp-profiles obtained for different lipid composi- ity profiles. Previously, we have determinedthe parameters tions. Previously, we have determined the parameters for a neededfortheDMPC:DSPCsystem(59).Inthispaper,how- DMPC:DSPC system (59). In this study, however, we ex- ever,FTIRexperimentswereperformedwithDMPC-d54and changed the DMPC lipids with deuterated DMPC (DMPC- DSPCmixtures. Inthefollowingitwasassumedthattheun- d54)whichgivesheatcapacityprofileswhicharebroadened like species interaction parameters did not change from the and shifted by −3.9◦C to lower temperatures in compari- systemDMPC:DSPCtoDMPC-d54:DSPC.Theheatcapac- son to the nondeuterated DMPC (data not shown and see ityprofileofthepureDMPC-d54wasmeasuredtoobtainits (49,50)). Thismeansthatwehadtodeterminetheenthalpy enthalpy and entropy changes during the melting transition andentropychangesandthecooperativityparameterofpure and the cooperativity parameter ωod (data not shown). The DMPC-d54.Inprincipleusingthismodeloneneedstoreestab- 11 remaining parameters were taken from a recent publication lishallparametersforanybinarylipidsystem. Inthiswork, (59). Allvaluesarelistedintable 1. however,we assumedthatthe unlikenearestneighborinter- action parametersdo not changeby the replacingof DMPC with its deuteratedanalogand we adoptedthem fromprevi- Tm,1=19.7 ◦C ω1o1d=1267 J/mol ous simulations of the nondeuterated DMPC:DSPC system Tm,2=54.8 ◦C ω2o2d=1474 J/mol (59). To validate this, DSC measurements on an equimolar ∆H1=14500 J/mol ω1o2o=607 J/mol DMPC:DSPC mixture were performed and they were com- ∆S1=49.5 J/(mol◦C) ω1d2d=251 J/mol pared to results simulated. We found that the values calcu- ∆H2=25370 J/mol ω1o2d=1548 J/mol lateddescribethemeltingprofilemeasuredwell(see fig.1). ∆S2=77.36 J/(mol◦C) ω1d2o=1716 J/mol Therefore,we were convincedthatit was feasible to further usethemodelwiththeinteractionparametersgivenintable1. Table1:ParametervaluesusedintheMonteCarlosimulations.Theywere Thefurtherscopeofthispaperwastocomparethetemper- determinedfromexperimentallydeterminedheatcapacityprofiles(59). All numbersaregivenperlipidchain.Theindicesoanddstandfororderedand aturedependenceofthesimulateddisorderedchainratiosof disordered,respectively. 1and2indexDMPC-d54andDSPC. DMPC-d54andDSPC lipidswiththe experimentalanalysis of the melting processes using FTIR spectroscopy. This in- directly allowed us to compare the experimentalresults ob- Thesimulationsweredoneonmatrixsizes60×60(DMPC- tainedwithDSCandFTIR. d54:DSPC100:0,70:30,60:40,50:50,40:60,30:70),100× In FTIR spectroscopy the absorption of infrared light due 100(90:10,80:20,20:80,10:90)and350×350(DSPC)(54). to vibrational degrees of freedom in the sample is studied. Thesystemwasequilibratedfor5000oraroundtheheatca- Inlipidsuspensionsdifferentvibrationalmodesofthelipids pacitymaximafor10000MCcycles. Simulationswerecon- contribute to the absorption spectrum. Prominent examples ductedover50000or100000MCcycles,respectively. usedinourstudyareCH2orCD2(inthecaseofthedeuter- ated DMPC lipids) stretch vibrations of the fatty acid lipid Results chains. Theshapeoftheabsorptionbandistemperaturede- pendent as can be seen in the left panel of fig. 2. Example In this paper we discuss melting processes in binary lipid spectra of the symmetric and asymmetric CH2 vibrational mixtures. Thereby, we focus on the melting of the two sin- spectra are given for different temperatures of a mixture of glecomponentsindependently.ExperimentalFTIRandDSC DMPC-d54:DSPC40:60. Deuteriumatomsareheavierthan measurements were accompanied by numerical simulations hydrogenatoms. ThisleadstoashiftoftheCD2 stretchvi- andananalysisofthecorrespondingphasediagram. brationstolowerwavenumbersandallowstodistinguishthe MeltingofSingleLipidComponents 5 twodifferentlipidspeciesinabinarylipidmixture. butalsoto usea DifferenceSpectramethod too. Furtherwe studiedthepeakareaofthesedifferencespectraasafunction oftemperature. ComparisonofFTIR Results andMonteCarlo Simula- Intheleftpaneloffig.2examplespectraoftheCH2stretch tions vibrationsaregivenasafunctionoftemperatureofaDMPC- d54:DSPC40:60mixture. Normalizingtheareaofthespec- trum to 1×cm−1 and defininga referencespectrum which In an investigation of structural changes in cytochrome c liesatatemperaturebelowthemeltingtransitionregime,dif- Heimburg and Marsh (67) focused on temperature depen- ferencespectrawerecalculated.Representativeexamplesare dent changes of difference spectra. This was motivated by displayed in the right panel of fig. 2. To follow the melt- theideathatthecorrespondingamideIbandisaconvolution ing transition the change in difference spectra peak area of ofavarietyofdifferentbands. Thetemperaturedependence of each of the single bands differs and a complex tempera- the CH2 or the CD2 symmetric, asymmetricor bothvibra- tionalmodescanbemonitored.Ourexperimentsshowedthat turedependentbehaviorispresent.Therefore,wedecidednot there is no difference between these three approaches(data onlytoinvestigatethetemperaturedependenceoftheabsorp- notshown). tionmaximaasdoneintheliteraturepreviously(28,68,69), Thetemperaturedependentevolutionofthedifferencespec- tra peak areas monitored are given in fig. 3 as solid curves for four different DMPC-d54:DSPC mixtures: (A) 70:30, (B) 50:50, (C) 40:60and (D) 30:70. The panels on the left side depict the results related to the deuterated DMPC-d54 lipidsandtherightonesgivethedatabelongingtotheDSPC lipids. The data obtainedis also comparedto simulationre- sultsoftheratioofdisorderedlipidchainsforeachofthesin- glespecies. Infig.3thesearegivenasopencircles(DMPC- d54) or squares (DSPC). In all instances we found an in- crease of the area with higher temperatures. In all cases a goodagreementbetweenthesimulatedandmeasuredvalues ispresent.Thedeviationsofthedatasimulatedfromthemea- suredonesaresmallerinthecasesoftheDMPC-d54lipids. This might be due to the fact that the determination of the model parameters needed is imperfect. More extended and time-consumingsimulationsmightimprovethedata,too. As alreadymentionedabove, previouslymelting processes Figure1: Enthalpyandentropychangesandcooperativ- oflipidmembranesinvestigatedbyFTIRwereanalyzedmon- ityparametersofthesingleDMPC-d54andDSPClipid itoringthetemperaturedependenceofthepositionoftheab- membranesweredeterminedfromheatcapacityprofiles. sorption maximum of either the symmetric or asymmetric The remaining four unlike species nearest neighbor in- stretch vibrationsof CH2 and CD2. We analyzed the tem- teractionparametersofDMPC-d54:DSPCmixtureswere perature dependence of the absorption maxima for several assumed to equal the ones of a DMPC:DSPC system DMPC-d54:DSPC mixtures as earlier done by Leidy et al. (59).SimulatinganequimolarmixtureofDMPC-d54and (28),too.Theresultsobtainedaregivenbythedashedcurves DSPCgivesameltingprofile(markers)whichdescribes infig.3. wellthemeasuredheatcapacityprofile(solidcurve).Be- We confirmedwhat has been reportedby Leidy et al. (28) low three representative snapshots from simulations of previously. There are instances when the positions of the thesamemixturewithamatrixsizeof80×80lipidchains maximaofthesymmetricstretchvibrationsoftheDSPClipids areshown.Theredandgreencolorsrepresentorderedor donotincreasewithhighertemperatures,butthatforcertain disordered lipid chains, respectively. The lighter colors lipid mixture fractions they decrease, approach a minimum correspondtotheDMPC-d54lipidchainsandthedarker and then they start to become larger again. The minimum onestotheDSPClipidchains.Thesnapshotsweretaken wavenumberisin allcases lowerthanthe wavenumbersde- atthreedifferenttemperatures. Atatemperatureof15◦ terminedatlowertemperatures.Thisbehaviorisindisagree- Cthemembraneisinthesolidorderedphasewhileata ment with the evolution of the difference spectra peak area temperatureof55◦Citisintheliquiddisorderedphase. andtheMCsimulationresults. In both cases lipids do not mix ideally, but lateral het- Itiswellknownthatmacroscopic,butalsolocalfluctuations ereogeneities are present. Two macroscopic phases are ofvariousmembranepropertiesareenhancedinthevicinity presentatatemperatureof33◦C. oflipidmembranemeltingtransitions(56,57). Thedetermi- 6 Fidorraetal. Figure2: TheIRabsorptionspectrumcontainsdifferentabsorptionmaximaoriginatingfromvaryingvibrations. In the left panelthe asymmetric and the symmetric CH2 stretch vibrationsas measured in a sample of DMPC- d54:DSPC40:60 at different temperatures are displayed. The absorption maxima of these are temperature de- pendentandliearound2852cm−1(symmetric)andat2925cm−1 (asymmetric). Theasymmetricandsymmetric CD2 stretch vibrationsareshifted tolower wavenumbersdueto theheavierdeuteriumatoms(datanotshown). Inpreviousstudiesfromotherlabsthemeltingprocesseswereinvestigatedfollowingthetemperaturedependence of the absorption maxima. In this study, however, the melting process was also studied by defining a reference spectraandsubtractingthisonefromallotherspectrawhereineachcasestheareawasnormalizedto1×cm−1 (DifferenceSpectramethod). Exampleresultsofthedifferencespectraoftheleftpanelaredisplayedintheright panel.Asameasureoftheprogressofthemeltingprocesstheareaofoneofthepeakswastaken. nationofthederivativesofthedataofthecurvesfromfig.3 Themeltingtransitionofthesinglelipidcomponentshappens as done by Leidy and collaborators(28) provides a measure overabroadtemperatureregime. ofthestrengthoffluctuationswithrespecttothesinglelipid components.Infig.4thesederivativesareshownforthedata ThePhaseDiagram simulated. Thehigherthevalueofthederivativethestronger thefluctuations.DMPC-d54meltsatlowertemperaturesthan DSPC. This is why the correspondingderivativesin the left Phase diagrams are generally constructed to easily access panelsoffig.4havemaximaatlowertemperatures.Thistem- thephaseseparationbehaviorofcomplexlipidmixtures(48). perature, however, depends on the molar fraction of DSPC In our case a phase diagram depending on lipid composi- lipids and is higher with an increased DSPC lipid fraction. tion and temperaturewas constructed. A phenomenological This is similar for the DSPC lipids only with the difference methodtoconstructtheseisinaligningtangentsonthelower that the presence of DMPC-d54 lowers the temperatures at and uppertemperaturelimits of heat capacity profiles. This whichfluctuationsoftheDSPClipidchainsarethestrongest. resultsinthe constructionofasolidusanda liquidusline as Inthiscontextitshouldbenotedthatthecomponentwhichis indicatedbyopensquaresandthegreycurvesinfig.5. Ifthe intheminorityalwaysdisplaystwomaxima.Oneofthemax- lipid composition is known, the physical state of the mem- imais a localmaximumatwhichfluctuationsareenhanced, brane can be determined. The data obtainedfromthe lower but they are lower than at the global maximum. The local temperature limit defines the solidus line, whereas the one maximumisfoundatatemperatureatwhichtheothercom- fromtheuppertemperaturelimitgivestheliquidusline. Be- ponent displays its strongest fluctuations. At an equimolar lowthesoliduslinethelipidmembraneisinthesolidordered ratio of DMPC-d54:DSPC this is true for bothcomponents. phase, while abovethe liquidusline it is in the liquiddisor- dered phase. Therewith, the liquidus and the solidus lines MeltingofSingleLipidComponents 7 Figure3: The FTIR resultsare comparedwith the Monte Carlo simulations. The dataon fourdifferentDMPC- d54:DSPCratios70:30(A),50:50(B),40:60(C)and30:70(D)aredisplayed.Ineachpanelthedisorderedchain ratios obtained from the simulations (open circles (DMPC-d54) and open squares (DSPC)) are compared with thechangesofthepeakarea(solidcurves)andtheevolutionofthepositionoftheabsorptionmaximum(dashed curves). InthelattercasetheantisymmetricCD2 (DMPC-d54)andthesymmetric CH2 stretchvibrationswere followed. ThepanelsontheleftsidedepictthemeltingprocessofthedeuteratedDMPC-d54lipidsandtheright onestheDSPClipidmelting. TheMonteCarlosimulationsallowtocombineboththeFTIRandthecalorimetric results. Theyprovideameantorelatethemacroscopicwiththemicroscopicbehaviorofthebinarylipidmembrane melting. definethephasecoexistenceregimetoo. Thethreesnapshots DSPC hasbeenclaimedto beofsecondorderandtherefore infig.1provideavisualimpressionofthis. Attemperatures the interpretationof the phase diagram has to be taken with of15◦ Cand55◦ Cthelipidmembraneisineitherthesolid care(55). ordered or liquid disordered phase, respectively. It should, With the determination of the derivatives of the curves in however, be mentioned that the mixing of the two lipids is fig. 3 we were able to deducethe temperaturesat whichthe in neither of the two cases ideal. The single lipid species fluctuations of the single components were enhanced. The cluster. At a temperature of 33◦ C the two phases coexist lower temperature melting component, in this case DMPC- anda macroscopicphaseseparationis present. Inan earlier d54, has its maximum at lower temperatures than the one publicationwecouldshowthatdiscussingdomainformation whichmeltsathighertemperatures(DSPC).Thesetempera- processesinlipidmembranesoneneedstodistinguishmicro- tures,however,arehigherorrespectivelylowerthanthemelt- scopic and macroscopic phase separation and local fluctua- ingtemperaturesofthe puresinglecomponents. Thevalues tions in chain state enter the physicalpicture. These fluctu- aregiveninfig.5. Opencirclesrefertothevaluesoriginating ations are enhanced at domain or phase boundaries. Small fromthesimulationswhilethecrossescomefromtheexperi- domainsarealsosubjecttostrongfluctuations(57). Analyz- ments. Thetemperaturepointsdeterminedusingthetwodif- ingphasediagramsoneshouldnotethatthesephysicaleffects ferentmethodstoanalyzetheFTIRabsorptionspectraarethe areingeneralnotconsideredinitsinterpretation. Further,it same(datanotshown). Theexperimentalandthesimulated hasbeenpointedoutthattheconstructionofaphasediagram dataagreewell. isstrictlyspeakingonlyvalidifthetransitionisoffirst-order Thesimulationsfurtherallowedustocomparethetempera- (70). The transition of binary lipid mixtures of DMPC and turesatwhichtheheatcapacitycurvesareinamaximumand 8 Fidorraetal. Figure4: ThederivativesofthecurvesofthefractionofdisorderedDMPC-d54andDSPClipidchainsasshown infig.3aredisplayedinthisfigure.Indetailthesearethemixtures70:30(A),50:50(B),40:60(C)and30:70(D). ThederivativesbelongingtoDMPC-d54areindicatedbyopencircles,whiletheonesofDSPCbyopensquares. Amaximuminthederivativemeansthatatthistemperaturefluctuationsareenhanced. the temperatures at which the derivatives of the disordered approaches. chainratiosdisplaytheirmaxima. We foundthatthesetem- peraturesequaleach other (data not shown). In some cases Discussion onlyoneheatcapacitymaximumisresolvable. Theanalysis ofthesinglecomponents,however,allowstodistinguishthe maximaofthemeltingofsinglecomponentsinallinstances. Inthispaperwepresentedacombinednumericalandexperi- The maxima of the component which is in a majority then mentalstudyexploringmeltingprocessesinbinarylipidmix- agreeswiththemaximumoftheheatcapacitycurve. tures. Indetail,wefocusedonthemeltingofthesinglelipid components DMPC-d54 and DSPC independently. Monte In total, we showed a combined FTIR and MC simulation Carlo simulations linked FTIR and DSC measurements to study.FTIRabsorptionspectrawereanalyzedwithtwometh- eachotherandtherewithMCsimulationsprovedanothertime ods.Onefollowedthetemperaturedependenceoftheabsorp- to bea usefulandpowerfultoolinexploringmeltingtransi- tion maxima of the symmetric or asymmetric CH2 or CD2 tionsinlipidmembranes. stretch vibrations. The other studied temperaturedependent changesofthepeakareaofthedifferencespectra. Monitor- FTIR,DSCandMCSimulations ing the positions of band maxima leads to incorrect results, butthesimulateddatadescribewellthecurveshapesobtained FTIRallowedustomeasuretheabsorptionspectraoflipid withtheDifferenceSpectramethod.Oursimulationsdescribe suspensionsconsistingofMLVswithvaryingDMPC-d54and well the evolution of the area changes. Melting of single DSPC ratiosindependenceoftemperature. Inparticularwe componentscannotbeinvestigatedinDSC.DSCaloneonly probedtheCH2andCD2vibrationalmodesofthelipidfatty showsthebulkbehavior. InFTIRspectroscopyitispossible acidchains.Thedeuteriumisheavierthanthehydrogenatom to separate the lipid species individually. Therefore, using which is why the symmetric and asymmetric bands of the MC simulations we were able to link the two experimental CH2 andCD2 stretch vibrationsdisplayabsorptionsat dif- MeltingofSingleLipidComponents 9 ferentwavenumbers. Thismadeitpossibletodistinguishthe well. DMPC-d54andDSPClipids. Previously this model has been shown to be suited to de- Weappliedtwodifferentmethodstoanalyzetheabsorption scribe heatcapacityprofilesas measuredwith DSC (54, 57, spectrameasured. Onewasbasedonmonitoringthetemper- 59). Tenuniqueparametersareneededwhichwereobtained aturedependenceofabsorptionmaximacorrespondingtothe from experimental heat capacity profiles. Six of them fol- CH2andCD2stretchvibrations,respectively.Theotherone lowdirectlyfromtheheatcapacitycurvesoftheonecompo- wasbuiltonfollowingchangesinthepeakareaofdifference nentsystems. Thesearetwiceentropyandenthalpychanges spectra (Difference Spectra method). We comparedthe cor- andthecorrespondingcooperativityparameters.Themissing respondingexperimentalresultstothetemperaturedependent fourparametershavetobefoundbyfittingtheheatcapacity ratioofdisorderedchainsofthesinglelipidspeciesusingMC profiles of the binary mixtures. They must be and they are simulationsofasimplemodel(seefig.3). thesameforallofthepossiblelipidratios. Duetotheerrors in the c -profile measurements the parameter determination ThesenumericalsimulationswerebasedonaDoniachmodel p is subject to deviations from the ideal set of parameters. In ofthelipidchainmeltingprocessassumingoneorderedand our case we have taken the remainingfour parametersfrom one disordered lipid chain state. Nearest neighbor interac- the DMPC:DSPC system (59). This provedto be valid, but tionsonlywereconsideredandthelipidchainswerearranged small deviationsdueto this assumptioncannotbe excluded, onatriangularlattice. Eventhoughitisaminimalisticmodel too. whichneglectsthatlipidchainsmayreflectdifferentdegrees ofdisorderandthenon-considerationofalossoflatticeorder Heat capacity profiles contain macroscopic informationon during the melting process the calculated fraction of disor- themeltingbehaviorsuchaschangesinenthalpyandentropy. deredlipidchainsofthesinglelipidspeciesdescribestheex- However,DSC doesnotallowto determinethe microscopic perimentaldataobtainedwiththeDifferenceSpectramethod behaviorofthemeltingprocess. Additionally,itdoesnotal- low to investigate the melting of the single components. It is only suited to measure the bulk melting behavior. FTIR, however, providesa mean of studying the melting of single lipid speciesandobservesthe microscopicdetails, butlacks the possibility to probe macroscopic properties. The model underlyingthe MC simulations describes heat capacity pro- filesandpredictsthefindingsfromFTIRwell. Therefore,the MCsimulationsprovideameantolinktheinformationofthe twoexperimentaltechniques. TheMeltingProcess Themeltingprocessofsinglecomponentsisadequatelyde- scribed using the numerical simulations. From the experi- mentalandthesimulatedresultsandtheircorrespondingderiva- tivesitbecomesclearthatthelowertemperaturemeltingcom- Figure 5: Phase diagrams allow to obtain an under- ponent (DMPC-d54) melts also in the binary mixture at a standingofthephasebehavioroflipidmixturesindepen- lower temperature than do the DSPC lipids (fig. 4). Still, denceoflipidratios,temperature,pHorotherouterpa- both lipid species melt over the whole temperature regime rameters. Inthisstudybinarylipidmixtureswereusedto andnotonlyatdistincttemperaturesatwhichfluctuationsas- study melting transitions in dependence of temperature. signedto thesinglelipid componentsareenhanced. Ingen- Therefore, a phase diagram with the fraction of DSPC eral,thecomponentwhichisintheminorityshowstwomax- lipids as the abscissa and temperature as the ordinate ima. Atoneofthesetemperaturesthestrengthofthefluctua- was constructed. The open squares and the grey lines tionsofthecomponentwhichisinthemajorityisthehighest. represent the lower and upper temperature limits of the This effect underlines the cooperativity of the melting pro- meltingprocessasdeterminedfromheatcapacityprofiles cess. Themeltingofonelipidincreasestheprobabilityofthe simulatedusingthetangentmethod.Furtherthepeakpo- meltingofanotherlipid. sitionsofthederivativesofthedisorderedchainfractions simulated(opencircles)andoftheexperimentallydeter- Thetemperaturesatwhichthefluctuationsofthetwocom- mined area changes (crosses) were analyzed. The sim- ponentsisstrongestasobtainedfromthesimulationsandthe ulatedpeaksdeterminedfrom thederivativesagreewith experiments, agree well (fig. 5). Further, the numerical themaximaoftheheatcapacityprofiles(datanotshown) simulationsallowedtocalculatetheheatcapacityvaluesand thedisorderedchainfractionssimultaneously. Therefore,we wereabletocomparethetemperaturesatwhichtheheatca- 10 Fidorraetal. pacity is in its maximum with the temperatures determined domains. Even if a membrane should be completely in the fromthederivativesofthedisorderedchainfractions. These liquid disordered phase, lipids might not mix ideally and a temperaturesagreewitheachother.Infig.1theheatcapacity heterogeneityexistsasseeninfig.1andasalreadydiscussed profile of the equimolarmixture displays two maxima. The elsewhere(57). Thisstatementisalsotrueformembranesin maximumat lowertemperaturecorrespondsto the enhance- the liquid ordered phase (74). The role of lipid membrane mentin fluctuationsof the DMPC-d54 lipids and the one at heterogeneitieshas been discussed exhaustinglyin the liter- highertemperaturestotheoneoftheDSPClipids. However, ature (25, 34, 38, 39, 40, 41, 43, 44, 45, 46, 47). Thereby, thereareinstancesatwhichtheheatcapacityprofiledisplays ithasnotonlybeenpointedoutthatthecoexistenceofsolid onlyonemaximumeventhoughonecandeterminetwotem- orderedandliquiddisorderedphasesmightbeimportant(39, peratures using the evolution of the single lipid disordered 40,41,43,44),butalsotheenrichmentofsinglelipidspecies chainratios. ThisisbecauseDSCdescribesthebulkbehav- incertainregionsofthelipidmembrane(42,45,46,47). iorandsingleeventsmightnotbedetectablesincetheyshow Melting of single componentscannotbe detected from the only a small contributionto the overallmelting. This needs bulk melting in the calorimeter. However, most of the pub- attentionindiscussingmeltingprocessesinbiologicalmem- licationscitedherededucephaseseparationofnaturalmem- branes. Inthecaseofbiologicalmembranesitmightevenbe branes from calorimetricresults. Therefore, details of these difficulttodistinguishthemeltingprocessesfromthebaseline processes might not be revealed. It is also possible that the ofthecalorimetricscan. Thismeansthatmeltingispresent, melting process in a biological membrane displays a broad butitcannotbedetectedatallusingDSC. profileandtheheatchangesdetectedbyacalorimetercannot bedistinguishedfromthebackgroundsignal. FTIR:TheTwoApproaches In thiscontextnotonly the variouslipidmembranephases have to be named, but also the possibility of enrichment of In this paper we used two different techniques to analyze certainlipidspeciesin thecertainlipiddomains. Therefore, theFTIRdata. Thesewerefollowingthetemperaturedepen- however,adetailedunderstandingoflipidmeltingtransitions denceoftheabsorptionmaximaofeitherthesymmetricCH2 andlateralstructuringneedtobeobtained. Theexistenceof ortheasymmetricCD2stretchvibrationsandtheareachange heterogeneitiesdependsonthethermodynamicalbehaviorof ofoneofthepeaksofadifferencespectra. thedifferentlipidspecies.Asseeninthisstudytheymeltover Usingthefirstmethodwefound,inaccordanceto(28),that a broad temperature regime with particular temperatures at theabsorptionmaximumoftheCH2stretchvibrationsofthe whichtheydisplaystrongfluctuationsinmorecomplexlipid DSPC lipidsdevelopedtowardssmaller wavenumberswhen mixtures. These temperatures depend on the lipid species, the DMPC-d54 started to display stronger fluctuations (see but also on its interactionswith otherkindsof lipid present. therightpanelsoffig.3). Ithasbeeninterpretedthatinthese Melting processes mightnot be finished even thougha heat cases the DSPC lipids start to order. Concluding from the capacityprofilemightnotindicateanysuchevents. Thesen- data presentedin this workand by Leidyet al. (28) this or- sitivitymightbenotsufficient. FTIRspectroscopy,however, deringshouldbestrongerthaninthepresenceofacomplete provides means to distinguish the melting of single compo- solidordered membrane. Thewavenumberatwhichtheab- nents. sorptionisatamaximumdropstowavenumbersevensmaller Apossiblereasonforthebigvarietyinlipidspeciesmightbe thanatlowtemperatures. Thereis, however,nofurthersup- to ensure a neededlipidmembraneheterogeneityandthere- porting evidence that lipids might be able to order stronger withtoplayarolemembranefunction.Thisthenprovidesan than at low temperatures. This behavior is in disaccord of explanationwhyadependenceoflipidsynthesizeinbiologi- whatwe havefoundwith thesecondmethodandthe Monte calmembranesonouterphysicalparameterssuchaspressure Carlo simulations. Therefore, it seems reasonable that the ortemperatureisrequired. DifferenceSpectra methodyieldsresultswhich describethe meltingprocesscorrectlyandmonitoringbandshiftsonlycan Acknowledgments leadtoincorrectresults. M.FidorrawasfundedbyBioNetandtheVillumKannRas- mussenFoundation. BiologicalRelevance References The modelof a biologicalmembranebySingerandNicol- son considers the biological membrane to be homogeneous (1) Marr,A.G.,andJ.L.Ingraham.1962. Effectoftemperatureonthe (71). In the recent years this view has changed. A hetero- compositionsoffattyacidsinEscherichiaColi.J.Bacteriol.84:1260– 1267. geneous membrane model has overtaken this older picture (72, 73). Different kinds of heterogeneities can be present (2) Johnston,P.V.,andB.I.Roots.1964. Brainlipidfattyacidsandtem- inbiologicalmembranes,suchasproteinaggregatesorlipid peratureacclimation. Comp.Biochem.Physiol.11:303–309.

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