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Identification number: DOI : 10.1016/j.apsusc.2013.12.063
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http://dx.doi.org/10.1016/j.apsusc.2013.12.063
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Eprints ID: 12054
To cite this version:
Grunenwald, Anne and Keyser, Christine and Sautereau, Anne-Marie and
Crubézy, Eric and Ludes, Bertrand and Drouet, Christophe Adsorption of DNA
on biomimetic apatites: Toward the understanding of the role of bone and tooth
mineral on the preservation of ancient DNA. (2014) Applied Surface Science,
vol. 292 . pp. 867-875. ISSN 0169-4332
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Adsorption
of
DNA
on
biomimetic
apatites:
Toward
the
understanding
of
the
role
of
bone
and
tooth
mineral
on
the
preservation
of
ancient
DNA
A.
Grunenwald
a,b,
C.
Keyser
b,
A.M.
Sautereau
a,
E.
Crubézy
c,
B.
Ludes
b,
C.
Drouet
a,∗aCIRIMATCarnotInstitute–Phosphates,Pharmacotechnics,Biomaterials,UniversityofToulouse,CNRS/INPT/UPS,ENSIACET,4alléeEmileMonso,31030
ToulouseCedex4,France
bInstituteofLegalMedicine,AMISLaboratory,CNRSUMR5288,UniversityofStrasbourg,11rueHumann,67085StrasbourgCedex,France
cMolecularAnthropologyandImageSynthesisLaboratory(AMIS),CNRSUMR5288,UniversityofToulouse,37alléeJulesGuesde,31000Toulouse,France
Keywords: Nanocrystallineapatite Hydroxyapatite AncientDNA Polyelectrolyteadsorption Temkinisotherm Elovich
a
b
s
t
r
a
c
t
InordertoshedsomelightonDNApreservationovertimeinskeletalremainsfromaphysicochemical viewpoint,adsorptionanddesorptionofDNAonawellcharacterizedsyntheticapatitemimickingbone anddentinbiomineralswerestudied.Batchadsorptionexperimentshavebeencarriedouttodetermine theeffectofcontacttime(kinetics),DNAconcentration(isotherms)andenvironmentallyrelevantfactors suchastemperature,ionicstrengthandpHontheadsorptionbehavior.Theanalogyofthenanocrystalline carbonatedapatiteusedinthisworkwithbiologicalapatitewasfirstdemonstratedbyXRD,FTIR,and chemicalanalyses.Then,DNAadsorptionkineticswasfittedwiththepseudo-firstorder,pseudo-second order,Elovich,Ritchieanddoubleexponentialmodels.ThebestresultswereachievedwiththeElovich kineticmodel.TheadsorptionisothermsofpartiallyshearedcalfthymusDNAconformed satisfacto-rilytoTemkin’sequationwhichisoftenusedtodescribeheterogeneousadsorptionbehaviorinvolving polyelectrolytes.Forthefirsttime,theirreversibilityofDNAadsorptiontowarddilutionandsignificant phosphate-promotedDNAdesorptionwereevidenced,suggestingthataconcomitantionexchange pro-cessbetweenphosphateanionicgroupsofDNAbackboneandlabilenon-apatitichydrogenphosphate ionspotentiallyreleasedfromthehydratedlayerofapatitecrystals.Thisworkshouldprovehelpfulfor abetterunderstandingofdiageneticprocessesrelatedtoDNApreservationincalcifiedtissues.
1. Introduction
Boneand toothremains oftenrepresentthe only– butalso thebest–biologicalmaterialsavailablefordeoxyribonucleicacids (DNA)typinginanthropologyandmayadditionallybeexploited in forensicsciences [1,2]. Inancient samples,DNAarisingfrom degradedcellsisgenerallystronglyfragmented,withameansize around200basepairs, anditsamplification maybelimitedby thepresenceofsubstancespersistingafterpurification,and inhib-itingPCR[3].Althoughhardtissue samplesarecommonlyused asa sourceofancient DNAsequences,theprocessesof ancient DNApreservationinthesemineralizedtissueshavereceivedlittle systematicattention,bothregardingqualitativeandquantitative aspects.
∗Correspondingauthorat:CIRIMATCarnotInstitute,ENSIACET,4alléeEmile Monso,31432ToulouseCedex4,France.Tel.:+33034323411;
fax:+33034323499.
E-mailaddress:christophe.drouet@ensiacet.fr(C.Drouet).
Calciumphosphateapatitesarethemaincomponentsofhuman boneandteeth.Thephysico-chemicalfeaturesofenamelhighly resemblethoseofstoichiometrichydroxyapatiteCa10(PO4)6(OH)2,
both in terms of crystallographic structure and composition. In contrast, bone and dentin minerals are composed of non-stoichiometricapatitenanocrystals.Severalstudieshave shown thepossibilitytoprepare,underclose-to-physiologicalconditions (temperature, pH), syntheticanalogs tobiological apatites that mimictheirphysico-chemicalcharacteristics[4–6].Forboth bio-logical specimens and biomimetic analogs, the surface of the nanocrystals was found toexhibit a structured but metastable non-apatitichydratedlayer[7–9],containinglabileions(e.g.Ca2+,
HPO42−,CO32−...)leading to an exceptional surface reactivity,
either in terms of ionic exchanges or of molecular adsorption
[10–13]. Furthermore, the possibility to control, for synthetic biomimeticapatites,thematurationstateofthenanocrystalswas evidencedbymodifyingexperimentalconditionssuchas temper-ature,pHormaturationtimeinsolution[7,14,15].Thesefindings thenenablethepreparationofsamplesmimickingeithernewly formedormaturebonemineral.
The role of the mineral apatitic matrix, potentially acting asa physical and a chemical barrier against DNA deterioration (throughmicrobiologicalactivityandenvironmentalfactors)has beenwidelymentionedintheliteraturetoexplaintheexceptional preservationofDNAinhardtissues[16–18].Infact,eveninthe absenceofbacterialattack,thedecayof freeDNA moleculesin aqueoussolutionsiscompletelyachievedoverfewthousandyears, based onspontaneoushydrolysis [17].The presence of ancient DNAinsamplesagedover600000yearsappearsthenconsistent withthehypothesisofanadsorptionofDNAfragmentsonbone andtoothapatiticmatrix,thuslimitingthepossibilityof chemi-caldegradationandtheaccessibilityofbacteriaandtheirenzymes
[19].
Inanothercontext,theabilityofhydroxyapatitetoadsorbDNA hasbeenshownsince1957forchromatographicpurposes,using phosphatesolutionswithaconcentrationgradientasmobilephase
[20–22]. More recently,apatites and other calciumphosphates nanoparticleshavebeeninvestigatedasdrugcarrierstodeliver geneticmaterialstoeukaryoticcells[23,24].Okasakietal.[25]have alsoexaminedthecrystalgrowthofhydroxyapatiteinthe pres-enceofDNAandsuggestedanaffinitybindingphenomenonbased uponelectrostaticinteractionbetweennegativelycharged phos-phategroupsofthebackboneofDNAandcalciumionsfromthe apatitesurface.
However,inspiteofthesevariousapplications,thechemical interactionbetweenapatitesandDNAisgenerallyassumedapriori, withoutanin-depthunderstandingofthenatureofthebinding mechanisminvolved;moreoververyfewquantitativedatawere reportedto-dateonapatite/DNAinteractions.
The adsorptionof several biological (macro)molecules other than nucleic acids (e.g. bovine serum albumin and other pro-teins,antibiotics,aminoacids...)onsyntheticbiomimeticapatites has on the contraryalready been the object of various works
[11,12,26–28].Interestingly,adsorptionprocessesonbiomimetic apatiteswasfoundtoinvolveinsomecasesmorecomplex mech-anismsthansolelybasedonthedepositionofthemoleculeonthe surfaceofthesolidphase:insomeinstancesindeed,thereleaseof surfaceionswasfoundtooccursimultaneouslytotheadsorption process[11,29,30].Moreover,considerablevariationsofadsorption parametersareboundtobeobserveddependingonthe physico-chemicalcharacteristicsoftheapatitecrystals.
Basedontheseconsiderations,wereportinthiscontributiona firstphysico-chemicalinsightontheinteractionbetweenDNAand abiomimeticapatitemimickingboneanddentinbiominerals,with thegoaltoexplainthediageneticpersistenceofDNAextractedfrom skeletalremains.Thisexperimentalmodelwasaimedat determin-ingadsorptionand desorptionfeatures (usingcalf thymusDNA asmodelDNA),andatcomparingtheobtaineddatawithreports dealingwithotherbiologicalmolecules.
2. Materialsandmethods
2.1. Synthesisofapatiteanalogoustodentinandbonemineral
Abiomimeticcarbonated apatitesample,referred toas hac-1w,wassynthesizedbydoubledecompositionaccordingtothe proceduredescribed byRey etal. [8].Briefly, a calciumnitrate Ca(NO3)2·4H2Osolution(52.2gin750mlofdeionizedwater)was poured at room temperature (20◦C) into a solution of
ammo-niumhydrogenophosphate(NH4)2HPO4andsodiumbicarbonate
NaHCO3(90gofeachin1500mlofdeionizedwater).Theexcess
ofphosphateinthesecondsolutionwasusedtobufferthepHof thesolutionataclose-to-physiologicalvalue,namely7.2. Matura-tioninsolutionhasthenbeencarriedoutfor7days(1week).The pHofthemediumwasfoundtoremainconstantduringthewhole
maturationprocess.Thesuspensionwasthenfilteredona Büch-nerfunnel,thoroughlywashedwithdeionizedwater,freeze-dried andstoredinafreezer(−18◦C)soastoavoidanyalterationofthe
apatitenanocrystals.
Theapatitepowderwasthensieved,andthesizefractioninthe rangeof100–200mmwasusedforallfurtherexperiments (adsorp-tion/desorption).
2.2. DNA
Adsorptionanddesorptionexperimentswereperformedwith DNAsolutionspreparedfromshearedcalfthymusDNAsolutions (Trevigen).Accordingtothemanufacturer,theconcentrationofthe mothercalfthymusDNAsolutionisprovidedat10mg/mlinTE buffer(10mMTris,1mMEDTA,pH8)withafragmentsizerange of500–1000bp.
2.3. Physico-chemicalcharacterization
Thechemicalcompositionoftheapatitecompoundsynthesized wasdeterminedfromtitrationscarriedoutbycomplexometryfor thedeterminationofthecalciumcontent,byspectrophotometry forthetotalphosphatecontent(determinationofthesumofPO43−
andHPO42−ions,usingthephospho-vanado-molybdenicmethod
[31])andbycoulometricmethod(UIC,Inc.CM5014coulometer withCM5130acidificationunit)forthecarbonatecontent.
Thecrystalstructureofthesampleswascheckedbypowder X-ray diffractionusing an Inel diffractometer CPS120 and the monochromaticCoKaradiation(Co=1.78892 ˚A).
Thespecificsurfacearea,Sw,wasdeterminedusingafivepoints
BET method(nitrogen adsorption) ona Tristar IIMicromeritics apparatus.
Fouriertransforminfrared(FTIR)analyseswereperformedona PerkinElmer1700spectrometerwitharesolutionof4cm−1,using
theKBrpelletmethod.
TheamountofadsorbedDNA,atequilibrium,afteradsorption experimentswasdrawnbycomparisonoftheconcentrationsin DNAbeforeandafteradsorption,usingtheUVabsorptionofthe bandatca.260nmfollowedbyspectrophotometry(Thermo Scien-tificNanoDrop2000cspectrophotometer).
Theamountsofcalciumand(inorganic)phosphateionspresent inthesupernatantsafteradsorptionordesorptionweretitrated respectively byatomic absorption(ContrAA 300, AnalytikJena) andbyspectrophotometryusingthephospho-vanado-molybdenic methodasmentioned above.Priortotheseanalyses, the resid-ualDNAmoleculespresentinthesupernatantswereremovedby pretreatmentinacidicmediumandcentrifugation.
2.4. Adsorptionanddesorptionexperiments
Forallexperiments,theamountofapatitepowderandvolume ofDNAsolution(inglassflasks)werekeptconstantatrespectively 10mgand7.5ml.DNAsolutionswerepreparedatincreasing con-centrationsrangingfrom0to500mgDNA/ml,indeionizedwater. Thisconcentrationrangehasbeenchosentoremaininthelinear zoneofBeerLambertLawandavoidhighsolutionviscosity,which couldinterferewithadsorptionprocesses.
Adsorptionkineticswasfollowed,atroomtemperatureandpH 7,overaperiodof4weekswithaDNAsolutionofintermediate concentration(160–195mg/ml).
For the establishment of adsorption isotherms, experiments werecarried out withvariouspHvalues (byadding eitherHCl 0.1MorNaOH0.1M),ionicstrengths(byaddingKCl)and tem-peratures, under constant mild stirring. Thenthe mixture was centrifuged(20minat1850gandthesupernatantwasretrieved byfiltrationwithAcrodisc®syringefilterswithnylonmembrane
Fig.1.XRDpatterns(2between20◦and70◦)of(a)biomimeticcarbonatedapatite sample,hac-1w(maturationof1week),ascomparedtobonespecimens:(b)rat(12 months),(c)human(man57y.o.).
(0.45mm,25mm).Eachpointwasdoneintriplicatetocheckthe reproducibilityofourexperimentalmodel.
Whenmentionedinthetext,theeventualdesorptionof pre-adsorbedDNAmoleculeswasexamined–inthesameconditionsof temperatureandcontacttimeasfortheadsorptionexperiments– byinvestigatingtheeffectofdilutionbyafactor5,where80vol.%of thesupernatantwerereplacedbydeionizedwater,withorwithout additionofKH2PO4atafinalconcentrationof18mM.
3. Resultsanddiscussion
3.1. Physico-chemicalcharacterizationofapatitesample
The apatite sample hac-1w synthesized in this work was characterized by way of X-ray diffraction (XRD) analysis and Fourier-transforminfrared(FTIR)spectroscopy.
TheXRDpatternobtained(Fig.1)wasfoundtobe characteris-ticofsingle-phasedapatite,asnosecondarycrystallizedphasewas detected.Acomparisonwiththepatternsobtainedonbone speci-mens,namelyhumanfemur(man,57y.o.)andratbone(12months old),asillustratedinFig.1,confirmedthebiomimeticcharacter ofthehac-1wsample.Ascanbenotedinallcases,thepatterns exhibitthefeaturesofapatitewitharatherlowcrystallinitystate characteristicofbiologicalapatites(exceptfortoothenamel).The application of Scherrer’sformula todiffraction lines(002) and (310),leadingrespectivelytoanestimateofthemeanlengthand widthoftheapatitecrystals,gavemeancrystallitedimensionsof 15.7nmlengthand4.9nmwidth.Thesevaluesareclearlyinthe nanometerscalethusconferringanadditionalelementinfavorof thebone-ordentin-likecharacterofthisapatitecompound.
TheapatitenatureofthesamplewasalsoconfirmedbyFTIR analysis(Fig.2).Severaldifferencescouldhowever,asexpected,be evidencedbycomparisontostoichiometrichydroxyapatite(HA).In particular,thepresenceofcarbonateabsorptionbandswaspointed outinthecaseofthesamplehac-1wintheranges1350–1550cm−1
(assignable to the 3(CO3) vibration mode) and 840–910cm−1
(attributableto2(CO3)).Incontrast,absorptionbandsat3572and
632cm−1 typicalofapatiticOH− ionsarenotclearly detectable
onthespectrumofhac-1w(seeforexampleinletofFig.2).This observationindicatesthatthisapatitesampleislargelydepleted inOH−ions.Thistypeofnonstoichiometryiscommonfor
biolog-icalapatites(e.g.[32]), andistypicallyaccompaniedbycationic vacancies(lackofcalciumions)andthesubstitutionofPO43−ions
bydivalentHPO42− orCO32−.Beside thealreadyassessed
pres-enceofcarbonatespecies intheapatitelattice,theexistenceof
Fig.2. FTIRspectraforbiomimeticapatite(hac-1w)andforreferencestoichiometric hydroxyapatite(HA)showinglocalizationofapatitichydroxylions,phosphatesions (1–3)andcarbonatesions(2,3,hac-1wonly).Inset:spectraldecompositionof the4(PO4)vibrationdomainforhac-1wintherange400–800cm−1,revealingin particularthevibrationofnon-apatitichydrogenphosphatelabileions.
HPO42− ionscan indeed beestablishedhere onthebasis of IR
absorptionappearingasashouldertothe4(PO4)bands,around
535–550cm−1(seeinset,Fig.2).
Thechemicalcompositionofthisapatitesamplewasthen inves-tigated.In particular,theCa/(P+C) molarratioofthesolid was determinedfromthechemicaltitrationofcalcium,carbonateand orthophosphateions,leadingtothevalue1.36.ThisCa/(P+C)ratio isnoticeablylowerthan1.67,whichischaracteristicof stoichio-metricHA,andthisfindingconfirmsthenonstoichiometryofthis compoundalreadysuggestedbyFTIRanalyses.
Alltheresultsreportedabovethereforeassessthebiomimetic characteroftheapatitesamplehac-1w,withbone-ordentin-like characteristics,thusmakingofitanadequatesubstrateforDNA adsorptionanalysesinourcontext.
Takingintoaccount theimportance ofthesurfaceofapatite exposedtotheDNAsolutioninadsorptionexperiments,thesample wassieved(between100and200mm)andthespecificsurfacearea oftheresultingpowderfractionwasfoundtobeofSw=180m2/g
asdeterminedbynitrogenadsorption(BETmeasurement).
3.2. Adsorptionkinetics
ThekineticsofadsorptionofcalfthymusDNAonthehac-1w biomimeticapatitesamplepreparedabovewasfirstfollowed,with theobjectivetodetermineexperimentalconditionsallowingus toreachthethermodynamicequilibrium.Tothisaim,adsorption experimentswerecarriedout(atroomtemperatureandpH7–7.5) starting from DNA solutions witha concentrationin the range 160–195mg/ml.
Fig.3a reports the experimentaldatapoints byplotting the amountof DNAadsorbed,denoted Nads(given inmg DNA/g of apatite),asafunctionofcontacttimeandoveraperiodof4weeks. ThiskineticcurveshowsasteepincreaseofNadsduringthefirst
dayofcontactbetweenDNAmoleculesandtheapatitesubstrate, followedbyaprogressivestabilization(uptoabout110–120mg DNA/gapatiteforthisDNAconcentrationrange).Theanalysisofthe firstderivative(seeinsetonFig.3a)allowsonetoexamineinmore detailsthevariationofNadsduringthefirst24hofapatite/DNA con-tact.Ascanbeseen,thevastmajorityofDNAmoleculesappeartobe adsorbedwithinthefirst2–3hofcontact–reachingcoverageofthe orderof70–80%(relativelytothemaximumequilibratedadsorbed amount).Thesefindingssuggestthattheadsorptionprocessisnot
Fig.3.KineticsofDNAadsorptionfollowedover3weeksatroomtemperature, neutralpH,onbiomimeticapatitehac-1w.Adsorptioniscompletewithin3days, withatrendfollowingElovich’sequation(dottedline):(a)Nads=f(t),inset:first derivativeoffirstdaydatapointsshowingthattheadsorptionprocessisalmost completewithin3h,(b)linearregressionusingElovich’sequation,Nads=f(Ln(t)). particularlyhindered,duringthisfirststageofadsorption,bysteric hindranceoftheDNA macromoleculesatthesurface ofapatite nanocrystals.However,beyondthisstage,such phenomenacan probablycontributetothemodificationofslopeobserved(upto reachingthermodynamicequilibrium)andtheratherslow evolu-tionbeforefinalstabilization.
Theshape ofthe adsorptionkinetic curveNads=f(t)appears
roughlywithalogarithmicshape,andthistypeofvariationwas indeed confirmed by the rather good linearity (R2=0.9463) of
theNads=f(Ln(t))plotasshowninFig.3b.Suchabehavior isin
particularrepresentativeofkineticprocessesfollowingElovich’s mathematicalmodel[33]:
Nads= 1
bLn(t+t0)+ 1
bLn(ab) (1)
where“t0”(pre-Elovichperiod)isoftenfoundtobeclosetozero
(whichmayreasonablybeconsideredheretakingintoaccountthe linearityfoundinFig.3b).Thisequationderivesinfactfromthe descriptionoftheadsorptionratera=dNads/dt:
ra=dNads
dt =a·exp (−b·Nads(t)) (2) Interestingly,theElovichmodelwasfrequentlyconsideredto describethekineticsofadsorptionof(bio)moleculeson hetero-geneoussurfaces[34,35],especiallywhenthefinalstabilizationis ratherslowtooccur(suchasforexamplethecaseofthe adsorp-tionofhydrogenonmixedoxides[36]).Basedonourfindings,this
modelthusappearstosimulateratherwelltheadsorptionofDNA onbiomimeticapatite.Aratherslowstabilizationisindeedlikelyto happenheretakingintoaccountthelengthofthemacromolecules ofDNAandpotentialmodificationsofconformationupon adsorp-tion.
Otherkineticmodelshavehoweveralsobeentestedinthiswork inviewofevaluatingtheirpotentialpertinence.Thegeneralmodel proposedbyRitchie[37,38]wasinparticulartested,beingbased onanequationofthetype:
d
dt =kn(1−)
n (3)
where“”representsthecoverageofthesurfaceattime“t”,and “n”istheorderofthereaction.Outofthisgeneralequation,two modelsareindeedoftenencounteredinliteraturestudiesrelatedto kineticsofadsorption,namelythepseudo-firstorderand pseudo-secondorderkineticmodels:
Nads=Ne·[1−exp(−k1·t)] (pseudo-firstorder) (4)
Nads=Ne·
h
1− 1 1+k2·ti
(pseudo-secondorder) (5) Theapplicationofthesetwotypesofequationtoour experi-mentaldatahoweverdidnotallowustoreachasatisfactoryfit overthewholetimerange.Inallcases,thefitsobtainedpredicted astabilizationatsignificantlyshortercontacttimesascompared totheexperimentaldata.Theuseofadouble-exponentialmodel (DEM):Nads=Ne−a1·exp (−k1·t)−a2·exp (−k2·t) (6) proposedintheliterature[39]fordescribingtherateof adsorp-tionoftwovariantsofnucleotidesonmontmorillonitealsofailed tosimultaneouslydescribeadequatelythedifferentstagesofthe kineticadsorptioncurveobserved inthepresent case(both for shortandlongercontacttimes).
TheabovefindingsthussuggestthattheElovichmodelremains thebestmodeltestedhere,fordescribingsatisfactorilythekinetics ofadsorptionofDNAmacromoleculesonbiomimeticapatite.
3.3. Adsorptionisothermanddesorptionstudy
Takingintoaccounttheprecedingkineticdata,thefollowing sub-sectionswillaimatestablishingDNAadsorptionisotherms. Onthebasisoftheabovekineticsstudy,anapatite/DNAcontact timeof3dayshasbeenselectedforallexperiments.Inafirststage, theisothermrelativetoso-called“reference”conditions–namely roomtemperature,neutralpHanddeionizedwatermedium–was determined.Insubsequentsteps,thepotentialeffectsofpH,ionic strengthandtemperaturewereexaminedforderivinggeneral ten-denciesontheadsorptionprocess.
3.3.1. Referenceadsorptionisotherm(roomtemperature,neutral pH,deionizedwatermedium)
Areferenceadsorptionisothermwasbuiltby measuringthe amountNadsofDNAadsorbed(eithergiveninmg/mgorinmg/m2)
onthehac-1wcarbonatednanocrystallineapatitesample(Fig.4) asafunctionoftheequilibriumconcentrationofDNAinthe super-natantCeq(mg/ml).Theseexperimentswerecarriedoutatroom
temperature(∼22◦C),neutralpH(initialvaluecloseto7.4)andin
deionizedwater.
TheprofileofthisNads=f(Ceq)curveistypicalofanadsorption
isothermplottendingtowardamonolayer-likecoverage,witha steepincreaseoftheadsorbedamountoveranarrowrangeinCeq
followedbytheobtainmentofaplateau(aroundNm≈160mg/g). It maybenoted howeverthat experimentaldatapointsshow a
Fig.4.ThereferenceadsorptionisothermofcalfthymusDNA(0.75–4.5mg, ini-tialconcentrationrange40–600mg/ml)onbiomimeticcarbonatedapatitehac-1w (10mg)instandardconditions(roomtemperature,3daysofincubation,neutralpH) fitswithTemkinlogarithmiccurve(straightline)
rather highdispersion, which canberelatedtorelative hetero-geneityinDNAfragmentlengthsandapatiteparticlesize(despite preliminarysieving).Adispersionofphysico-chemical character-isticsamongbiologicalapatitesishoweveralsonaturallyobserved invivoduetovaryingstatusinmineralremodeling/agingstates. Inaddition,somevariabilityinDNAfragmentlengthalso presum-ablyoccursinpostmortemevents.Therefore,suchexperimental adsorptionisothermsareexpectedtoapproximatereasonablywell thevariabilityofactualdiageneticphenomena.
In ordertoshed somemorelight onthetype ofadsorption behaviorobservedherebetweenDNAmoleculesandbiomimetic apatitecrystals,severaladsorptionmodelsweretestedonthebasis ofmathematicallinearizationofthedata.TheLangmuirmodelas wellastwoderivatives,namelyFreundlichandTemkin,were suc-cessivelytestedbyplotting1/Nads=f(1/Ceq)forLangmuir(Eq.(7)),
Ln(Nads)=f(Ln(Ceq))forFreundlich(Eq.(8))andNads=f(Ln(Ceq))for
Temkin(Eq.(9)),referringtotheisothermequations: Nads=Nm
KL·Ceq 1+KL·Ceq (7) Nads=KF·C1/neq (8) Nads=B·Ln(A)+B·Ln(Ceq) (9) whereKL,Nm,KF,n,AandBarethecorrespondingconstants(atfixedtemperature).
After fitting our data toeach of these three equations (see
Table1),onlya poorfit wasfoundwiththeLangmuirequation (correlationR2coefficient∼0.20),thusstronglysuggestingthatthe associatedhypothesesofthismodel(uniqueheatofadsorptionfor alladsorptionsites,nointeractionbetweenadsorbatemolecules) do not strictly apply here.In contrast,a significantly better fit (R2>0.5)wasfoundfortheothertwomodels,i.e.Freundlichand
Table1
Adsorptionparametersandcorrelationcoefficientscalculatedaccordingtothe the-oreticalmodelstestedinthiswork.
Adsorption model Fittedadsorption parameters Correlation coeff. Langmuir Nm=114.9mg/g KL=3.0ml/mg R2=0.201 Freundlich KF=74.66mg/g(ml/mg)n n=7.17 R2=0.561 Temkin A=450.078ml/mg B=13.416 R2=0.671
Temkin,whichtakeintoaccountheterogeneousheatsofadsorption (thelatterbeingrelatedtothelocalaffinityofsurfacesitesfor spe-cificmolecularfunctionalgroup).Inparticular,thebestagreement wasfoundwiththeTemkinmodel(R2 coefficientcloseto0.67),
whichtheoreticallysupposesaproportionalvariationof adsorp-tionenthalpiesasa functionof thecoverage.Theseresultscan beparalleledtoliteratureresultsdealingwiththeadsorptionof ionicadsorbentsonheterogeneoussurfaces[40–43],whereTemkin isothermwasalsooftenlinkedtoanElovich-typekineticmodel.
Fig.4pointsout asituationwhere themaximalDNA cover-agereachedonourapatiticsubstratehac-1wiscloseto160mg/g. Althoughitappearsappealingtocomparethisadsorption parame-terwithreportedvaluesmeasuredonapatitesforothermolecules, itshouldberemindedherethatcareshouldbetakenforsuch com-parisonssincesuchsubstratesprobablydonotexhibitthesame surface features, due todifferent synthesis histories. Indeed, it waspreviouslysuggestedthattheapatitematurationstage (lead-ingtomodifiedsurfaceandbulkcharacteristics[15])mayhavea directsignificantinfluenceonadsorptionprocesses[11,12,26,29]. Also, when DNA macromolecules areinvolved, it appears diffi-culttoexpresstheadsorbedamountsintermsofmoles(rather thangrams)duetothepolydispersityofthemolecularweightof DNA fragments(typicallyintherange 10–1000bpinourcase). Inthehypothesisofasamplemadeofanaverageof500bp,an approximatedvalueforDNAmolecularweightwouldbe330kDa; thereforethemeasuredNmvalueof160mg/gwouldbeequivalent
toabout0.49mmol/g.Forinformationonly,themaximumadsorbed amountofanothermacromolecule–bovineserumalbumin–on a nanocrystalline apatite substrate (non-carbonated but with a rathersimilarmaturationstate)reached11.4mmol/g(764mg/g)
[12].
BasedonaTemkin-likebehavior,thelogarithmicfitof exper-imentaldatapointswasaddedinFig.4.Althoughcareshouldbe takenatthisstagefordrawingconclusivestatementsonthe distri-butionofsurfacesitesforDNAadsorption,thesefindingssuggestan evolutionoftheanchoringbehaviorofDNAmacromoleculesalong theadsorptionprocess(i.e.uponcoverageincrease),whichmayin turnberelatedtotheir3Dconformation(s).
3.3.2. Desorptionstudy
Inordertoshedsomemorelightontheadsorptionmechanism forsuchDNA/apatitesystems,thepotentialdisplacementofDNA macromoleculesoutoftheapatiticsurface(desorption)was inves-tigatedbyfollowingtheeffectofdilutionontheresidualadsorbed amount.
A first set of experiments was carried out by performing a dilution by a factor 5 in deionized water, and the results are reportedonFig.5a.Interestingly,asisshowninthisfigure,thedata essentiallyindicatetheabsenceofdesorptioninsuchconditions. Thesefindingsmayprobablybeparalleledwithpreviousworkson theadsorptionofbisphosphonateonapatites[11,29]wherethe absenceofdesorptionupondilutionwasalsoevidenced(pointing outanon-reversibleadsorptionprocessassociatedtoagenuine “anchoring”ofthemoleculesonthesurfaceofthesubstrate).In thecaseofbisphosphonates,thisnon-reversibilitywasrelatedby theauthorstothereleaseofphosphateionsfromthesolidsurface simultaneouslytothemoleculargraftingprocessviaaphosphate end-group.
In the present case, the lack of significant desorption upon dilution could possibly be related toa rather similarscenario, where anionic phosphate groups from the DNA backbonemay interactwithphosphateionsfromthesurface ofthe nanocrys-tals.Calcium andphosphateionsweretitratedfromadsorption supernatants(retrievedafteradsorptionexperimentsforvarious increasingvaluesofCeq)aswellasina“blank”experiment
Fig.5. Effectofdilutionin(a)deionizedwateror(b)inthepresenceofphosphate ions([P]=18mM),pH7,ontheadsorptionofDNAonbiomimeticapatite.(a)After3d ofadsorption,80%ofthesolutionwasreplacedwithdeionizedwater(dilutionstep) for3moredays:the“desorption”datapointsdonotfollowtheisothermdespite thedilutionofthemedium,Nadsremainingessentiallyunchangedforeachpoint, indicatingthequasi-absenceofDNAdesorption.(b)Sameexperimentwithdilution byneutralphosphatesolution.Partialdesorptionofca.30–50%ofDNAisobserved after3days.
cases,ourresultsindicatedthepresenceofbothtypesofionsin solution,andinincreasingamountsasafunctionoftheadsorbed amount,withaconcentrationrangeofphosphorusandcalcium inthesupernatants,respectivelybetweenca.0.3–0.8mmol/land 0.4–1.3mmol/l(datanotshown).Thesefindingscould hypothet-ically be attributed to the (partial) dissolution of the apatitic substrateand/or totherelease ofions fromthesurfacedue to theadsorptionprocessitself.Theconcomitantpresenceof both calcium cations and phosphate anions, however, strongly sup-portsatleastsomeextentofapatitedissolution.Atthispoint,it isdifficulttodifferentiatebetweenthetwotypesofcontributions (dissolution-relatedoradsorption-related);especiallytakinginto accountthenon-congruenceofdissolutionprocessesfor nonstoi-chiometricapatites[29,30].
Additional“desorption”testswerenonethelessruninthe pres-enceofphosphateionsinthemedium(byadditionof KH2PO4,
seeSection2),whilekeepingthepHvalueneutral.Remarkably, inthiscase,theresidualadsorbedamountsweresystematically foundtosharplydecrease(Fig.5b).Thistypeofbehaviorwas pre-viouslyobservedforexampleforbisphosphonates[44]wherethe adsorptionprocesswasaccompaniedbya releaseof phosphate ions.Takingallthesestatementsin consideration,andalthough additional investigation dedicated to these aspects (e.g. to the
Fig.6.EffectofpHontheadsorptionprocessinstandardconditionsofDNAonto biomimeticnanocrystallinecarbonatedapatite(6<pH<9.5).
incongruenceofapatitedissolution)willbeneeded,ourdata sug-gestinthepresentcasethatphosphateionscompetewithDNA moleculesforsurfacesitesofapatitecrystals.
3.3.3. EffectofpHonDNAadsorption
ThemaximumadsorptionamountNmofDNAontothepoorly
crystallinebiomimeticapatitesamplehac-1wwasthenfollowed (stillat22◦C)asafunctionoftheinitialpHofthemedium(inthe
range6–9.5).Indeed,pHmaypresumablyplayanon-negligiblerole inadsorptionprocessesinvolvingioniccrystalssuchasapatites. Also,pHmayalsovaryuponpostmortemconditions.
AsshowninFig.6,thevalueofNmwasfoundtoincreaseupon
acidification (ca.+13%at pH6)of themedium, andconversely todecreaseuponalkalinization(ca.−23%atpH9.5).Several fac-torsmaypotentiallycomeintoplayforexplainingthisbehavior. In particular,partial apatite(surface) dissolutionis expectedto increaseuponacidification[45],thusmodifyingexposedsurface characteristics.Toalesserextent,acidificationcouldbeseenasa meanstofacilitatethereleaseofHPO42−ionsfromthesurfaceof
apatitenanocrystals,astheseionsareknowntobethepredominant formofphosphateionsonsuchsurfaces[46,47].Inturn,suchan increasedmobilityofHPO42−ionscouldthenfacilitatethe
anchor-ingofDNAphosphategroupsontothesurfaceofthecrystals(see discussioninSection3.3.2).Anotherpotentialexplanationforthis pHeffectonNm couldberelatedtoachangeinDNA
conforma-tionuponacidification/alkalinization,thusmodifyingtheprofileof thegraftedmolecules.IncontrastitappearsthatthesepHeffects maynotberelatedtothespeciationofthephosphategroups(main ionizationsiteofdouble-strandedDNA)fromtheDNAbackbone. Indeed,theirpKavalueofca.1.5[48]pointstoasituationwhere
thesephosphategroupsareionizedforanypH>1.5.
ItisinterestingtoremarkhoweverthattheexperimentalpH valuesofthemediaafteradsorption(datanotshown)showedthe generaltendencytoevolvetowardneutrality,independentlyofthe initialpHvalue(whetheracidicofalkaline).Thiseffectmaybeboth due(1)toasurfaceequilibrationphenomenonoftheapatitecrystal surfaceand(2)totheadsorptionprocessitselfleadingto phos-phateionrelease,asindicatedintheprevioussub-section.Indeed, thereleaseofphosphateions(whicharemostlyprotonatedonthe surfaceofbiomimeticapatites,namelyeitherHPO42−orH2PO4−)
inamediumexhibitingapHvaluebetweenca.5and10isexpected toevolvetowardneutralizationduetothebufferingeffectofthe H2PO4−/HPO42−acido-basiccouple(pKa=7.2)[49].
Fig.7. EffectofionicstrengthonDNAadsorptionwithincreasingamountofKCl (0–300mM)instandardconditions.
Inthediageneticcontext,ourobservationsoftheroleofpHon theadsorbedDNAamountsonbiomimeticapatitemayinciteone tohastilyconcludeona“positive”effectofacidicenvironmentson DNApreservation;howeveritshouldbekeptinmindthatapatitic substratesareboundtodegradefasterinsuchconditions,thusnot favoringlong-termDNApreservation[17,50].
3.3.4. Roleofionicstrength
The influence of the overall salinity of the solution (varied herebyincorporationofvariousamountsofKClintheadsorption medium,with[KCl]=1–300mM)wasalsocheckedat22◦C.Indeed,
ionicstrengthisanotherparameterlikelytoinfluenceadsorption processes[51],aswellasDNAdecay[52].Theobtaineddata(see maintrendsonFig.7)indicateacleartendencytowardincreasing DNAadsorbedamountswhenincreasingtheionicstrengthofthe medium.
Thesefindingscouldbelinkedtoadecreaseininter-molecular interaction,thusfacilitatingtheadsorptionprocessontoapatite crystalssurfaces.Again,avariationinDNAconformationmayplay arole intheseobservations.Theimpactoftheconcentrationin DNA of a givensolution onitsconformation and onmolecular inter-penetration wasaddressed in past studies [53,54]. In the presentcase–aswellasinusualdiageneticprocesses–the den-sityofDNAmoleculesishoweverexpectedtoberatherlimited, thuscorrespondingto“dilute”systemsratherthanhighly concen-tratedones:intheseconditions,eachmoleculemaythushavea tendencytoactasaseparateentity,assuggestedbyTomicetal.
[54]. It should alsobeadded that the “criticalrole of counter-ionvalenceinmodulatinginter-polyionforces”hasbeenrecently underlined,especiallyinthecaseofDNAmacromolecules[54–56]. Thismaythuscomplicatefurthertheunderstandingandmodeling ofDNA moleculardynamicsundermodifiedsalinity conditions; and additional data are probably needed onthis field prior to drawmechanisticconclusionsontheeffectof ionicstrength on DNA conformation and consequently on adsorption. Neverthe-less,ourexperimentaldata,obtainedinthepresenceofKCl,point out a measurable impact onadsorption capabilities of DNA on biomimeticapatite,thussuggestingthatsalinityshouldbe consid-eredasanon-negligibleinfluentialparameterinsuchadsorption processes.
3.3.5. Roleoftemperature
TheeffectoftemperatureonDNAadsorptiononthehac-1w sample wasthenexamined. In viewofshedding somelight on
Fig.8. EffectoftemperatureonDNAequilibriumadsorptionofat4◦C(5d incu-bation)andat37◦C(3dincubation).Forcomparison, theTemkinfitatroom temperatureisalsoshown
the effect of temperature on DNA adsorption on apatite, dat-apoints were obtained at three temperatures covering a wide range betweenbody temperatureand near-permafrost temper-ature, namely 37, 22 and 4◦C and the results are reported in
Fig.8. Asmaybenoticed, thevalues ofNads obtainedat22 or 37◦Cdonotdifferdrastically,in contrasttodatacorresponding
to 4◦C. Such “cold”conditions (duringthe adsorptionprocess)
indeedleadtonoticeablyloweramountsofadsorbedDNA,fora givenDNA concentrationat equilibrium.Theisothermobtained at 4◦C also appears to display a different profile compared
to “warmer” conditions, and linearization tests corresponding to the Temkin, Freundlich or Langmuir models indicated in this case a better correlation with the latter model (correla-tion coefficient R2=0.8515 for Langmuir as opposed to 0.7832 and0.7583respectivelyforFreundlichandTemkin).This obser-vation then points out some modifications in the type of molecule/molecule and/or of molecule/substrate interactions in such a colder situation. It is however difficult, at this stage, to propose a more advanced modeling for this phenomenon as additional information would be needed for instance on the evolution of the surface reactivity (e.g. exchangeability of HPO42− surface ions) of apatitic substrates versus
tempera-ture.
4. Concludingremarks
The present contribution aimed at shedding some light, for thefirsttime ona physico-chemicalpointofview,onthetype of interaction existing between biomimetic apatites and DNA macromolecules,orrelevancebothinforensicandanthropologic contexts.
Ourexperimentalfindingsstronglysupportthegeneral empiri-calhypothesis,oftenemittedintheancientDNAcommunity,after whichDNAstrandscouldinteractwithapatitefoundinhardtissues thusconsiderablylimitingitsdegradationwithtime.Thestudyof thekineticsofDNAadsorptiononasyntheticbiomimeticapatite sample showed that the datacould be adequately fitted toan Elovichianequation,oftenfoundforratherslowadsorption pro-cesses.Theshapeoftheadsorptionisothermsobtainedinvarious conditionswasfoundtobesatisfactorilydescribedbytheTemkin model(exceptatlowtemperature).TheeffectofpH,ionicstrength and temperature onthe adsorbed amounts hasbeen explored, suggestingthenon-negligible roleofenvironmentalparameters
(atleastduringtheadsorptionstage).Althougha “simple” dilu-tionofthemediumdidnotprovokethedesorptionofDNA,thus suggestingastrongbindingaffinityofDNAforapatiticsurfaces, theadditionofphosphateionswasfoundtopromotetherelease of the macromolecules (pointingout a competition for surface sites betweenDNA phosphate groups and inorganic phosphate ions).
Thisstudyisintendedtohelpunderstandingdiagenetic pro-cessesundergonebyDNAinskeletalremains,andalsotobetter apprehendtheinteractionsthatDNAmayundertakewithapatitic substratesfromwhichitisretrieved.Moreadvancedknowledge onsuchinteractionsmayalsoallowonetooptimize,inturn,DNA extractionprocedures.
ThededicatedanalysisofthesolidsafterDNAadsorptionand theexplorationoftheinteractionofshorterDNAfragmentswith apatiticsubstratesrepresentupcomingperspectivesforthiswork, andwillbetheobjectoffuturecomplementarystudies.
Acknowledgements
ThisresearchwassupportedbytheInstituteofEcology and Environment(INEE) andtheInstituteof Chemistry(INC)ofthe FrenchNationalCentreforScientificResearch(CNRS).
References
[1]T.Delabarde,C.Keyser,A.Tracqui,D.Charabidze,B.Ludes,Thepotentialof forensicanalysisonhumanbonesfoundinriverineenvironment,ForensicSci. Int.228(2013)e1–e5.
[2]C.Keyser,C.Bouakaze,E.Crubézy,V.G.Nikolaev,D.Montagnon,T.Reis,etal., AncientDNAprovidesnewinsightsintothehistoryofsouthSiberianKurgan people,Hum.Genet.126(2009)395–410.
[3]C.Keyser-Tracqui,B.Ludes,MethodsforthestudyofancientDNA,Methods Mol.Biol.297(2005)253–264.
[4]N.Nassif,F.Martineau,O.Syzgantseva,F.Gobeaux,M.Willinger,T.Coradin, etal.,Invivoinspiredconditionstosynthesizebiomimetichydroxyapatite, Chem.Mater.22(2010)3653–3663.
[5]A.S.Posner,F.Betts,Syntheticamorphouscalciumphosphateanditsrelation tobonemineralstructure,Acc.Chem.Res.8(1975)273–281.
[6]C.Rey,Calciumphosphatebiomaterialsandbonemineral.Differencesin com-position,structuresandproperties,Biomaterials11(1990)13–15.
[7]E.D.Eanes,J.L.Meyer,Thematurationofcrystallinecalciumphosphatesin aqueoussuspensionsatphysiologicpH,Calcif.TissueRes.23(1977)259–269.
[8]C.Rey,A.Hina,A.Tofighi,M.J.Glimcher,Maturationofpoorlycrystalline apatites:chemicalandstructuralaspectsinvivoandinvitro,CellsMater.5 (1995)345–356.
[9]C. Rey,J.Lian, M.Grynpas, F.Shapiro,L. Zylberberg,M.J.Glimcher, Non-apatiticenvironmentsinbonemineral:FT-IRdetection,biologicalproperties andchangesinseveraldiseasestates,Connect.TissueRes.21(1989)267–273.
[10]S.Cazalbou,D.Eichert,X.Ranz,C.Drouet,C.Combes,M.F.Harmand,etal.,Ion exchangesinapatitesforbiomedicalapplication,J.Mater.Sci.Mater.Med.16 (2005)405–409.
[11]F.Errassifi,A.Menbaoui,H.Autefage,L.Benaziz,S.Ouizat,V.Santran,etal., Adsorptiononapatiticcalciumphosphates:applicationstodrugdelivery,in: R.Narayan,J.McKittrick(Eds.),AdvancesinBioceramicsandBiotechnologies, AmericanCeramicSociety,Westerville,2010,pp.159–174.
[12]S.Ouizat,A.Barroug,A.Legrouri,C.Rey,Adsorptionofbovineserumalbuminon poorlycrystallineapatite:influenceofmaturation,Mater.Res.Bull.34(1999) 2279–2289.
[13]A.S.Posner,Thestructureofboneapatitesurfaces,J.Biomed.Mater.Res.19 (1985)241–250.
[14]S.Cazalbou,C.Combes,D.Eichert,C.Rey,M.J.Glimcher,Poorlycrystalline apatites:evolutionandmaturationinvitroandinvivo,J.BoneMiner.Metab. 22(2004)310–317.
[15]N.Vandecandelaere,C.Rey,C.Drouet,Biomimeticapatite-basedbiomaterials: onthecriticalimpactofsynthesisandpost-synthesisparameters,J.Mater.Sci. Mater.Med.23(2012)2593–2606.
[16]M.J.Collins,C.M.Nielsen-Marsh,J.Hiller,C.I.Smith,J.P.Roberts,R.V.Prigodich, etal.,Thesurvivaloforganicmatterinbone:areview,Archaeometry44(2002) 383–394.
[17]T.Lindahl,InstabilityanddecayoftheprimarystructureofDNA,Nature362 (1993)709–715.
[18]N.Tuross,ThebiochemistryofancientDNAinbone,Experientia50(1994) 530–535.
[19]L.Orlando,A.Ginolhac,G.Zhang,D.Froese,A.Albrechtsen,M.Stiller,etal., RecalibratingEquusevolutionusingthegenomesequenceofanearlyMiddle Pleistocenehorse,Nature499(2013)74–78.
[20]G.Bernardi,Chromatographyofnucleicacidsonhydroxyapatite,Nature206 (1965)779–783.
[21]R.K.Main,M.J.Wilkins,L.J.Cole,Partialchromatographicseparationof pentose-anddeoxypentosenucleicacids,Science129(1959)331–332.
[22]T.Watanabe,K.Makitsuru,H.Nakazawa,S.Hara,T.Suehiro,A.Yamamoto, etal.,Separationofdouble-strandDNAfragmentsbyhigh-performanceliquid chromatographyusingaceramichydroxyapatitecolumn,Anal.Chim.Acta386 (1999)69–75.
[23]F.L.Graham,A.J.vanderEb,Anewtechniquefortheassayofinfectivityof humanadenovirus5DNA,Virology52(1973)456–467.
[24]M.Jordan,A.Schallhorn,F.M.Wurm,Transfectingmammaliancells: optimiza-tionofcriticalparametersaffectingcalcium-phosphateprecipitateformation, NucleicAcidsRes.24(1996)596–601.
[25]M.Okazaki,Y.Yoshida,S.Yamaguchi,M.Kaneno,J.C.Elliott,Affinitybinding phenomenaofDNAontoapatitecrystals,Biomaterials22(2001)2459–2464.
[26]H.Autefage,F.Briand-Mésange,S.Cazalbou,C.Drouet,D.Fourmy,S.Gonc¸alvès, etal.,AdsorptionandreleaseofBMP-2onnanocrystallineapatite-coatedand uncoatedhydroxyapatite/b-tricalciumphosphateporousceramics,J.Biomed. Mater.Res.B:Appl.Biomater.91B(2009)706–715.
[27]L.Benaziz,A.Barroug,A.Legrouri,C.Rey,A.Lebugle,Adsorptionof O-phospho-l-serineandl-serineontopoorlycrystallineapatite,J.ColloidInterfaceSci.238 (2001)48–53.
[28]D.N.Misra,Adsorptionandorientationoftetracyclineonhydroxyapatite,Calcif. TissueInt.48(1991)362–367.
[29]P.Pascaud,P.Gras,Y.Coppel,C.Rey,S.Sarda,Interactionbetweena bisphos-phonate,tiludronate,andbiomimeticnanocrystallineapatites,Langmuir29 (2013)2224–2232.
[30]H.Tanaka,K.Miyajima,M.Nakagaki,S.Shimabayashi,Incongruentdissolution ofhydroxyapatiteinthepresenceofphosphoserine,ColloidPolym.Sci.269 (1991)161–165.
[31]A.Gee,V.R.Deitz,Determinationofphosphatebydifferential spectrophoto-metry,Anal.Chem.25(1953)1320–1324.
[32]R.Legros,Apportdelaphysico-chimieàl’étudedelaphaseminéraledestissus calcifiés(Thèsed’État),Institutnationalpolytechnique,1984.
[33]M.J.D.Low,Kineticsofchemisorptionofgasesonsolids,Chem.Rev.60(1960) 267–312.
[34]C.Aharoni,F.C.Tompkins,KineticsofadsorptionanddesorptionandtheElovich equation,in:H.Pines,P.B.Weisz,D.D.Eley(Eds.),AdvancesinCatalysis, Aca-demicPress,1970,pp.1–49.
[35]F.-C.Wu,R.-L.Tseng,R.-S.Juang,CharacteristicsofElovichequationusedfor theanalysisofadsorptionkineticsindye–chitosansystems,Chem.Eng.J.150 (2009)366–373.
[36]J.M.Thomas,W.J.Thomas,PrinciplesandPracticeofHeterogeneousCatalysis, VCH,NewYork,USA,1996.
[37]C. Cheung,J. Porter,G. Mckay, Sorptionkinetic analysisfortheremoval of cadmium ions from effluentsusing bonechar, Water Res.35 (2001) 605–612.
[38]A.G.Ritchie,AlternativetotheElovichequationforkineticsofadsorptionof gasesonsolids,J.Chem.Soc.FaradayTrans.73(1997)1650–1653.
[39]L.Sciascia,M.L.TurcoLiveri,M.Merli,Kineticandequilibriumstudiesforthe adsorptionofacidnucleicbasesontoK10montmorillonite,Appl.ClaySci.53 (2011)657–668.
[40]J.O.Bockris,K.T.Jeng,In-situstudiesofadsorptionoforganiccompoundson platinumelectrodes,J.Electroanal.Chem.330(1992)541–581.
[41]G.Skodras,I.Diamantopoulou,G.Pantoleontos,G.P.Sakellaropoulos,Kinetic studiesofelementalmercuryadsorptioninactivatedcarbonfixedbedreactor, J.Hazard.Mater.158(2008)1–13.
[42]S.Trasatti,L.Formaro,Kineticsandmechanismoftheadsorptionof glyco-laldehydeonasmoothplatinumelectrode,J.Electroanal.Chem.Interfacial Electrochem.17(1968)343–364.
[43]M.A.Vannice,KineticsofCatalyticReactions,Springer,NewYork,2005.
[44]F.Errassifi,Mécanismesd’adsorptiondurisédronatepardesphosphatesde calcium biologiques: applicationsauxbiomatériaux, FacultédesSciences Semlalia-Marrakech,2011.
[45]J.C. Elliott, Structureand Chemistry of the Apatites and Other Calcium Orthophosphates,ElsevierScience&Technology,Amsterdam,1994.
[46]C.Rey,M.Shimizu,B.Collins,M.J.Glimcher,Resolution-enhancedFourier trans-forminfraredspectroscopystudyoftheenvironmentofphosphateioninthe earlydepositsofasolidphaseofcalciumphosphateinboneandenameland theirevolutionwithage:2.Investigationsinthe3PO4domain,Calcif.Tissue
Int.49(1991)383–388.
[47]C.Rey,M.Shimizu,B.Collins,M.J.Glimcher,Resolution-enhancedFourier trans-forminfraredspectroscopystudyoftheenvironmentofphosphateionsinthe earlydepositsofasolidphaseofcalcium-phosphateinboneandenamel,and theirevolutionwithage.I.Investigationsinthe4PO4domain,Calcif.Tissue
Int.46(1990)384–394.
[48]J.A.V.Butler,ProgressinBiophysicsandBiophysicalChemistry,PergamonPress, London,1951.
[49]G.Charlot,L’analysequalitativeetlesréactionsensolution,Masson,Paris, France,1963.
[50]R. Bollongino,A.Tresset,J.-D.Vigne,Environmentandexcavation.Pre-lab impactsonancientDNAanalyses,C.R.Palevol.7(2008)91–98.
[51]D.N.Misra,AdsorptiononandSurfaceChemistryofHydroxyapatite,Springer, NewYork,1984.
[52]T.Lindahl,B.Nyberg,Rateofdepurinationofnativedeoxyribonucleicacid, Biochemistry(Mosc.)11(1972)3610–3618.
[53]A.V.Dobrynin,M.Rubinstein,Theoryofpolyelectrolytesinsolutionsandat surfaces,Prog.Polym.Sci.30(2005)1049–1118.
[54]S.Tomi´c, D. Grgiˇcin,T. Ivek,T.Vuleti´c, S.DolanskiBabi´c, R. Podgornik, Dynamicsand structure ofbiopolyelectrolytes inrepulsion regime char-acterizedbydielectricspectroscopy,Phys.B:Condens.Matter407(2012) 1958–1963.
[55]A.Naji,M.Kanduc,R.R.Netz,R.Podgornik,Exoticelectrostatics: unusual featuresofelectrostaticinteractionsbetweenmacroions,ArXivPrepr,2010 arXiv:1008.0357.
[56]R.W.Wilson,V.A.Bloomfield,Counterion-inducedcondensationof deoxyri-bonucleic acid. Alight-scattering study, Biochemistry (Mosc.) 18 (1979) 2192–2196.