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The influence of colloidal parameters on the specific power absorption of PAA-coated magnetite nanoparticles

Piñeiro Redondo, Yolanda; Bañobre López, Manuel; Pardiñas Blanco, Iván; Goya, Gerardo; López Quintela, Manuel Arturo; Rivas Rey, José

Abstract

The suitability of magnetic nanoparticles (MNPs) to act as heat nano-sources by application of an alternating magnetic field has recently been studied due to their promising applications in biomedicine. The understanding of the magnetic relaxation mechanism in biocompatible nanoparticle systems is crucial in order to optimize the magnetic properties and maximize the specific absorption rate (SAR). With this aim, the SAR of magnetic dispersions containing superparamagnetic magnetite nanoparticles bio-coated with polyacrylic acid of an average particle size of ≈10 nm has been evaluated separately by changing colloidal parameters such as the MNP concentration and the viscosity of the solvent. A remarkable decrease of the SAR values with increasing particle concentration and solvent viscosity was found. These behaviours have been discussed on the basis of the magnetic relaxation mechanisms involved

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NANO EXPRESS Open Access The in luence o colloidal pa ame e s on he speci ic powe abso p ion o PAA-coa ed magne i e nanopa icles Yolanda Piñei o-Redondo 1 , Manuel Bañob e-López 1* , I án Pa diñas-Blanco 2 , Ge a do Goya 3 , M A u o López-Quin ela 1 and José Ri as 1 Abs ac The sui abili y o magne ic nanopa icles (MNPs) o ac as hea nano-sou ces by applica ion o an al e na ing magne ic ield has ecen ly been s udied due o hei p omising applica ions in biomedicine. The unde s anding o he magne ic elaxa ion mechanism in biocompa ible nanopa icle sys ems is c ucial in o de o op imize he magne ic p ope ies and maximize he speci ic abso p ion a e (SAR). Wi h his aim, he SAR o magne ic dispe sions con aining supe pa amagne ic magne i e nanopa icles bio-coa ed wi h polyac ylic acid o an a e age pa icle size o ≈10 nm has been e alua ed sepa a ely by changing colloidal pa ame e s such as he MNP concen a ion and he iscosi y o he sol en . A ema kable dec ease o he SAR alues wi h inc easing pa icle concen a ion and sol en iscosi y was ound. These beha iou s ha e been discussed on he basis o he magne ic elaxa ion mechanisms in ol ed. PACS: 80; 87; 87.85j In oduc ion Biocompa ible magne ic nanopa icles (MNPs) a e inc easingly being used in many biomedical applica- ions, such as magne ic esonance imaging, d ug deli - e y, cell and issue a ge ing o hype he mia [1-3]. Fo hype he mia he apy, nano echnology o e s a powe - ul ool o he design o nanome e hea -gene a ing sou ces, which can be ac i a ed emo ely by he appli- ca ion o an ex e nal al e na ing magne ic ield (AMF). The magne ic ene gy abso p ion o nanopa icle-con- aining issues induces a localized hea ing ha allows a a ge ed cell dea h a a c i ical empe a u e abo e 42 o 45°C. This empe a u e inc ease can be used o selec i ely kill cance cells [4,5]. P e ious epo s show ha he e ec i e use o MNPs o induce magne ic hea ing by applica ion o an ex e nal adio- equency magne ic ield depends essen ially on se e al ac o s ela ed o he size, shape, sol en and magne ic p ope - ies o nanopa icles [6-9]. O special in e es is he hea ing powe a e ha can be a ained wi h MNPs because an inc ease o he hea ing a e would imply lowe doses o MNPs adminis e ed o he pa ien and lowe ime o s ay in he body o he pa ien . Fo his eason, i is necessa y o op imize he design o he nanopa icles in o de o achie e he equi ed s uc- u al and magne ic p ope ies which lead o he maxi- mum hea ing powe . Fo single-domain pa icles, which a e below he supe pa amagne ic (SPM) size limi , no hea ing due o hys e esis losses occu s. The e o e, he hea ing powe a ises om he ene gy dissipa ed in he e e sible p o- cess o elaxa ion o he magne ic momen s o hei equilib ium o ien a ion once he magne ic ield is emo ed. This mechanism is cha ac e ized by he Néel elaxa ion p ocess. In addi ion o his, he o a ional mo ion o he pa icles wi hin he sol en due o he o que o ces on he magne ic momen , B ownian elaxa ion, cons i u es ano he sou ce o hea ing, as a consequence o he ene gy libe a ed by ic ion in he eo ien a ion o he pa icle in he su ounding ca ie liquid. The well-known Rosensweig equa ion [10] p e- dic s he SAR o a magne ic nanopa icle exposed o a * Co espondence: manuel.banob [email protected] 1 Applied Physics and Physical Chemis y Depa men s, Uni e si y o San iago de Compos ela, San iago de Compos ela, 15782, Spain Full lis o au ho in o ma ion is a ailable a he end o he a icle Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 © 2011 Piñei o-Redondo e al; licensee Sp inge . This is an Open Access a icle dis ibu ed unde he e ms o he C ea i e Commons A ibu ion License (h p://c ea i ecommons.o g/licenses/by/2.0), which pe mi s un es ic ed use, dis ibu ion, and ep oduc ion in any medium, p o ided he o iginal wo k is p ope ly ci ed. a ying magne ic ield as SAR = P/( F), whe e Pis he dissipa ed powe hea : P=πμ0H02 χ (1) in which he magne ic suscep ibili y c”con ains he ac ion o bo h elaxa ion mechanisms: χ =2π χ0τe 1+ ( ω2π τe ) 2 . (2) Th ough an e ec i e elaxa ion ime o he wo mechanisms wo king in pa allel: 1 τ e = 1 τN + 1 τB , (3) whe e τB=3ηVH k B T(4) is he B own elaxa ion ime depending on he sol en iscosi y hand he hyd odynamic adius o he NP, V H=  1+ δ R  34πR3 3, and τN=τ0 exp KanVM/kBT ( KanVM/kBT ) (5) is he Néel elaxa ion ime depending on he magne ic olume o he NP, V M=4πR3 3 and K an is he magne ic aniso opy ene gy cons an o he magne ic co e o he NP. The e o e, he hea dissipa ion o a magne ic hype he mia expe imen pe o med on a e o luid will depend on: (1) he applied magne ic ield s eng h and equency and (2) he physical p ope ies o he e o- luid: sol en iscosi y, magne ic and hyd odynamic adiuso heNPs,and hemagne icaniso opyene gy cons an o he magne ic co e o he NP. Adequa ely coa ed i on oxide-based nanopa icles ha e been he mos ex ensi ely s udied ma e ial in hype he - mia expe imen s because hey ha e e y low oxici y, making hem sui able o in i o applica ions [11,12]. In pa icula , he polyac ylic acid (PAA) coa ing is an aqu- eous soluble polyme wi h a high densi y o eac i e unc ional g oups which make i e y a ac i e in bio- medicine due mainly o i s capabili y o o m lexible polyme chain-p o ein complexes ough elec os a ic, hyd ogen bonding o hyd ophobic in e ac ions. Fu he - mo e, he biochemical ac i i y o he p o ein is main- ained in he esul ing p o ein-polyme complexes [13]. The e o e, he use o biocompa ible SPM nanopa i- cles capable o esiding inside he human body o a ea- sonable ime is highly desi able o biomedical applica ions. The absence o coe ci e o ces and ema- nence p e en s he magne ic in e ac ion be ween pa i- cles and he o ma ion o pa icle agg ega es and small clus e s [1]. Bo h mechanisms depend on pa icle size, whe eas only he B ownian con ibu ion depends on he iscos- i y, h,o heca ie sol en .Howe e ,al hough hesize dependence o he hea ing powe has been al eady in es iga ed and indica es he exis ence o an op imal pa icle size in which he hea ing powe is maximum [14], he ea enosys ema icda aon hein luenceo pa icle concen a ion o sol en p ope ies in he same magne ic sys em and in a simul aneous way. As deduced om he Rosensweig equa ion and unde ce ain expe i- men al condi ions, bo h Néel and B ownian elaxa ion imes a e compa able o SPM nanopa icles a ound 10 nm; he e o e, changes in he pa icle concen a ion, sol- en iscosi y o pa icle su ace modi ica ion could lead o impo an di e ences in he SAR obse ed. To ou bes knowledge, no hea ing p ope ies o PAA-modi ied high quali y magne i e MNPs ha e been p e iously epo ed. Such combina ion o he chemical ea u es desc ibed abo e makes colloidal PAA-magne i e a p o- mising sys em in ad anced bionano echnologies. Fo his eason, da a abou i s hea ing p ope ies unde spe- ci ic expe imen al condi ions, which could ep oduce physiological condi ions in an in- i o expe imen , a e highly desi ed. Ou app oach in his esea ch includes he syn hesis o di e en biocompa ible and monodispe se high qual- i y single-domain magne i e NPs based e o luids and has been ocused on he speci ic abso p ion a e (SAR) dependence o ac o s ela ed o he pa icle concen a- ion and sol en p ope ies, c ucial pa ame e s o he biomedical applica ions in o de o p o ide he pa ien s wi h an op imal dosage. To ou knowledge, we p o ide o he i s ime use ul in o ma ion in o de o co ec ly in e p e and design PAA-coa ed magne i e based biomedical applica ions in which he a ge issues may ha e di e en iscosi ies and di e en capaci y o e ain low o high concen a- ions o NP inside, yielding unexpec ed esul s. Expe imen al I on oxide MNPs we e ob ained in o de o s udy he e ec o some colloidal pa ame e s on hei hype he - mia p ope ies. Magne i e MNPs o ≈10 nm we e syn hesized by chemical co-p ecipi a ion o an aqueous solu ion con aining Fe 2+ (FeSO 4 ·7H 2 O, 99%) and Fe 3+ (FeCl 3 ·6H 2 O, 97%) sal s in he mola a io Fe 2+ /Fe 3+ = 0.67 wi h ammonium hyd oxide (NH 4 OH, 28%). To ob ain Fe 3 O 4 @PAA MNPs, immedia ely a e magne i e p ecipi a ion an excess o PAA (Mn = 1800) was added o he solu ion. The PAA coa ing educes he Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 Page 2 o 7 elec os a ic pa icle in e ac ions and he e o e g ea ly inc eases he colloidal s abili y o he dispe sion. Finally, he pH o he solu ion was adjus ed o pH = 10 by add- ing e ame hylammonium hyd oxide (TMAOH) 10% in o de o imp o e he s abili y o he e o luid as much as possible. Speci ic abso p ion a e o he samples was measu ed by means o a home-made magne ic adio- equency (RF) powe gene a o ope a ing a a ixed equency o ν = 308 KHz and an induced magne ic ield o B=15 mT. A cylind ical Te lon sample holde was placed in he midpoin o an e hylene glycol cooled hollow coil (maximum o RF magne ic ield), inside a he mally iso- la ed cylind ical Dewa glass unde high acuum condi- ions (10 -6 mba ). Measu emen s we e ca ied ou by placing 140 μL o e o luid in he sample holde and eco ding he empe a u e inc ease e sus ime wi h a ib e-op ic he mome e (Neop ix) du ing app ox. 5 min o applied magne ic ield. Resul s and discussion The c ys alline phase o i on oxide nanopa icles was iden i ied by powde X- ay di ac ion (XRD) using a PHILIPHS di ac ome e wi h Cu Ka adia ion l= 1.5406 Å. The posi ion and ela i e in ensi ies o he e lec ion peaks con i m he p esence o a magne i e/ maghemi e phase wi h espinel s uc u e (JCPDS 19- 0629). The c ys alli e size, d (hkl) , was calcula ed om he b oadening (FWHM) o he (311) e lec ion ollowing he Debye-Sche e equa ion, esul ing o be d (311) ≈12 nm. I is impo an o ema k ha he absence o ex a e lec ions indica ed ha no o he i on oxides as sec- onda y phases a e p esen . The a achmen o he polyme o he magne i e pa i- cle su ace was con i med by a - ansmission-in a- ed (FTIR) spec oscopy using a The mo Scien i ic-Nicole 6700 spec oscope. D ied powde samples we e measu ed di ec ly using he a enua ed o al e lec ance (ATR) op ion. The cha ac e is ic abso p ion equencies o PAA ela ed o he ib a ional modes o he ee ca bonyl g oups we e iden i ied in he PAA spec um: C = O s e ch a 1709 cm -1 , C-O-H in-plane de o ma ion a 1452 and 1415 cm -1 and C-O s e ch a 1250 cm -1 .The posi ion o hese IR bands is in good ag eemen wi h p e- ious expe imen al epo ed da a [15]. A e eac ion be ween he PAA and magne i e NPs, a d as ic in ensi y dec eases o he C = O s e ching peak a 1709 cm -1 was obse ed. This s ong in ensi y dec ease o he C = O s e ching peak and he appea ance o new bands a 1547 and 1404 cm -1 , which a e due o he asymme ic and symme ic s e ching o he COO - ca boxyla e g oup, espec i ely, sugges s ha an e icien a achmen be ween he polyme and he pa icle su ace has aken place h ough he ca bonyl g oup. By examining he e- quency sepa a ion be ween he symme ic and he asym- me ic COO - s e ching ib a ions, Δν≈150 cm -1 ,and aken in o accoun he c i e ia es ablished by Deacon and Phillips [16], he ca boxyla e g oup ha e been ound o ac as b idging complex. On he o he hand, om he - mog a ime ic analysis (Pe kin Elme TGA 7 analyze ) he amoun o PAA co e ing he magne i e nanopa icles was ound o be 25% o he o al mass. Taking hese esul s in o accoun , he es ima ed polyme shell hick- ness su ounding he magne i e NPs was a ound 1 nm. Mo phology and c ys al s uc u e o PAA-coa ed mag- ne i e nanopa icles we e cha ac e ized by ansmission elec on mic oscopy (TEM) and scanning ansmission elec on mic oscopy (STEM) echniques using a PHI- LIPS CM-12 (100 kV) and a Hi achi S-5500 (30 kV) mic oscopes, espec i ely. Figu e 1 (le ) shows he Figu e 1 (Le ) TEM image o Fe 3 O 4 @PAA NPs. Inse shows a b illian ield HR-STEM image o a single Fe 3 O 4 @PAA pa icle. (Righ ) His og am co esponding o he Fe 3 O 4 @PAA NPs. Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 Page 3 o 7 uni o m pseudo sphe ical shape o magne i e@PAA MNPs. The a e age pa icle size and dis ibu ion is shown in he co esponding his og am on he igh and esul ed o be highly monodispe se wi h d=9±2nm (85% o he o al amoun o pa icles), in good ag ee- men wi h he c ys alline domain size calcula ed om XRD esul s. Inse o Figu e 1 (le ) shows a ep esen a- i e high- esolu ion (HR) b illian ield (BF) STEM mic og apho asinglepa icle egion,showinghigh c ys allini y and he s uc u al homogenei y o he pa i- cles. The long ange domain s uc u e and he absence o mul i-domains sugges ha hese nanopa icles can be conside ed as small single c ys als. I is also e i- denced ha he PAA coa ing p e en s he o ma ion o agg ega es, since hey a e ac ually well sepa a ed om each o he (as deduced om he dis ance be ween he whole pa icle in he middle o he pic u e and he su - ounding ones shown a he edges). Figu e 2 shows he magne iza ion cu es as a unc ion o he applied magne ic ield up o 2 T o PAA-coa ed magne i e NPs pe o med in a supe conduc ing quan- um in e e ence de ice (SQUID) magne ome e . A clea SPM beha iou is obse ed whe e coe ci e o ces and emanence a e elusi e. This is in good conco dance wi h he XRD and TEM/STEM esul s which e idenced ha magne i e co es a e wi hin he size egion below he single- o mul i-domain limi , in which FM pa icles show a SPM-like beha iou . Magne iza ion o sa u a ion, M s , is abou 60 emu g -1 a oom empe a u e. Howe e , a e co ec ion o he magne ic da a by sub ac ing he non-magne ic mass co esponding o he PAA shell ( ha ep esen s a 25% o he o al mass, as deduced om he he mal analysis), he sa u a ion inc eases again un il 80 emu g -1 , which is e y close o he bulk magne iza ion o magne i e (90 emu g -1 ). This indica es ha he in insic magne ic p ope ies o he magne i e nuclei ha e no been a ec ed by he coa ing. Magne ic hype he mia esul s The SAR o magne ic hype he mia expe imen s has been calcula ed by using [14] S AR =  T  cliqρliq  , (6) whe e c liq and liq is hespeci ichea capaci yand densi y o he liquid, espec i ely, and F he weigh con- cen a ion o he MNPs in hecolloid.Bype o minga linea i o he hype he mia da a ( empe a u e e sus ime) in he ini ial ime in e al, = [1-10] s, we ob ain he expe imen al alue o T  . In his way, he SAR can be calcula ed using Equa ion 6, since all he emaining pa ame e s a e known. Concen a ion e ec s When he concen a ion o a e o luid is inc eased, he i s ob ious consequence is ha he mean in e -pa icle dis ance is educed. I he sys em is u he exposed o an ex e nal RF magne ic ield ha magne izes he SPM nanopa icles, magne ic dipola in e ac ion will become ele an and con ibu e o he magne ic p ope ies o he e o luid. Since some con o e sies exis s in heo e- ical s udies abou he in luence o he dipola in e ac- ion on he in insic magne ic p ope ies o he MNPs [17], expe imen al measu emen s showing concen a ion e ec s on SAR p ope ies o MNPs will help o elucida e he ques ion. In o de o s udy he e ec o he magne i e concen- a ion on he hype he mia p ope ies o aqueous e o- luids and o achie e an e icien empe a u e inc ease in he samples, we p epa ed wo se ies o aqueous Fe 3 O 4 and Fe 3 O 4 @PAA NPs based dispe sions a di e - en magne i e concen a ions, anging om 0.6 o 20 g L -1 . Figu e 3 shows he e olu ion o he SAR wi h mag- ne i e concen a ion. The e olu ion o he SAR coe i- cien e eals ha he hea p oduc ion e iciency dec eases wi h magne i e concen a ion o Fe 3 O 4 @PAA NPs, while a di e en beha iou is obse ed o ba e Fe 3 O 4 NPs. We associa e his beha iou o he in e - pa icle dipole-dipole in e ac ions, which a e p opo - ional o he pa icle concen a ion in he ca ie luid. Fo Fe 3 O 4 @PAA NPs, as he pa icle concen a ion inc eases, pa icles ge close o each o he inc easing hei dipola magne ic momen in e ac ion in p esence o a RF ex e nal magne ic ield. The ene gy dissipa ion mechanism di ec ly in ol ed and s ongly dependen on he dipole-dipole in e ac ion is he Néel elaxa ion ime, since B ownian elaxa ion is much less sensi i e o he concen a ion o magne i e momen s because he in e - Figu e 2 Magne iza ion cu es as a unc ion o he applied magne ic ield up o 2 T o Fe 3 O 4 @PAA NPs a oom empe a u e. Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 Page 4 o 7 pa icle o ceismainlyhyd odynamicinna u e[18]. The highe dipola in e ac ions he longe Néel elaxa- ion imes. The e o e, his long- ange collec i e mag- ne ic beha iou a inc easing pa icle concen a ions appea s o play a majo ole in dec easing he SAR. In con as , a e y low pa icle concen a ions he pa icles a e mo e isola ed om each o he . In his scena io, he in e -pa icle dipola in e ac ion dec eases d ama ically wi h dis ance, ∝1/ 6 , and he e iciency o powe dissipa- ion o he medium is highly op imized. Al hough simi- la esul s ha e been p e iously epo ed in he li e a u e in o he magne ic sys ems, he e a e ew wo ks dealing wi h he e ec s o magne ic in e ac ions on SAR, being mos ly no compa able o con o e sial: U izbe ea e al. [19] showed a SAR inc ease wi h dilu- ion o ≈11 nm maghemi a nanopa icles based e o- luids, al hough he s udy was ca ied ou h ough AC suscep ibili y measu emen s pe o med below ≈100 kHz; and while [20] epo ed a highe SAR o igh ly asso- cia ed dex an-coa ed i on oxide nanopa icles (d≈90 nm) han o a mo e loosely associa ed ones, in [9], no concen a ion e ec s we e de ec ed. Figu e 3 includes expe imen al da a om Linh e al. [21] o ela i ely compa able colloidal magne i e based e o luid. A simi- la SAR dependence o he pa icle concen a ion is obse ed, al hough di e ences in he absolu e alues could de i ed om he sligh ly di e en pa icle size, pa icle dis ibu ion, coa ing agen o expe imen al con- di ions o equency and applied magne ic ield. I is impo an o men ion ha such a simila concen a ion hea ing e iciency was also obse ed in a di e en han magne i e sys em based on Ni-Zn e i e nanopa icles dispe sed in a shape memo y polyme [22]. In he opposi e, he SAR beha iou o ba e Fe 3 O 4 NPs is comple ely di e en . F om he ob ained esul s, we deduce ha he di e ences obse ed in he SAR depen- dence o he pa icle concen a ion be ween he ba e and PAA coa ed pa icles can be a ibu ed o he ac i e ole played by he PAA shell. The PAA coa ing no only s abilizes he SPM nanopa icles in he aqueous medium media ing he in e -pa icle dipola in e ac ion (di ec ly ela ed o he Néel elaxa ion ime), bu also changes he hyd odynamic adius o he pa icles and modi y he B ownian elaxa ion ime by ic ion o he nanopa icle su ace in he ca ie luid. In he case o ba e magne i e nanopa icles, signi ican dipola in e ac ions a e s ill p esen a low pa icle concen a ions, while agg ega ion phenomena and clus e o ma ion occu s a high pa i- cle concen a ions. Howe e , u he wo k is needed in o de o add ess in mo e de ail his issue. A simila beha iou has been also epo ed by Ve ges e al. [23] o highe magne i e pa icle sizes, al hough he SAR alues a e signi ican ly lowe . Sol en iscosi y e ec In o de o e alua e sepa a ely he B ownian con ibu- ion o he gene al hype he mia mechanism in SPM magne i e nanopa icles, he hea ing p ope ies o mag- ne ic dispe sions a a ixed pa icle concen a ion ha e been e alua ed as a unc ion o he sol en iscosi y, h, which is di ec ly ela ed o he B ownian elaxa ion h ough Equa ion 4. In he p esence o an AMF, he MNP will o a e ying o align i s magne ic dipola momen o he di ec ion o he magne ic ield. The ic- ion o he pa icle wi h he sol en will gene a e hea and his mechanism is known as B ownian elaxa ion. I con ibu es o he o al hea ing in compe ence wi h he Néel elaxa ion, in which he magne ic momen o he pa icle eo ien s in e nally wi hou he physical o a ion o he pa icle. B own elaxa ion ime inc eases wi h NP size and sol en iscosi y gi ing ise o an inc ease in SAR alues. Howe e , when τ B becomes oo much high τ e =τ Néel and only Néel elaxa ion con ibu es o he hea dissipa ion mechanism. The e o e, o e y iscous sol en s, he B ownian con ibu ion is blocked and only Néel elaxa ion con ibu es, dec easing he SAR. Figu e 4 shows he e olu ion o SAR o PAA-coa ed magne i e e o luids wi h iscosi y. Di e en alues o iscosi y anging om 1 o 90 mPa s we e achie ed by using di e en sol en s (wa e , e hylene glycol, 1-2- p opanediol and poly-e hylene glycol). I is impo an o men ion ha he magne i e concen a ion was kep cons an in all he samples, which showed a e y good s abili y o all he sol en s used. The e ec o chan- ging he sol en iscosi y e eals ha B ownian elaxa- ion con ibu ion is also signi ican in small SPM nanopa icles. A sligh SAR inc ease om 36.5 o 37.3 Wg -1 akes place as he sol en iscosi y inc eases Figu e 3 E olu ion o he speci ic abso p ion a e (SAR) o aqueous Fe 3 O 4 @PAA NPs dispe sions a se e al concen a ions be ween 0.6 and 20 g L -1 unde an applied AC magne ic ield o B= 15 mT and ν= 308 kHz. Solid line is a guide o he eye. Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 Page 5 o 7 om h= 1 mP s (wa e ) o h= 17 mP s (e hylene gly- col). Howe e , he use o sol en s o highe iscosi ies causes signi ican SAR dec eases. This endency ag ees wi h heo e ical p edic ions [10] and expe imen al esul s ound in dex an-coa ed magne i e e o luids, whe e a maximum SAR is obse ed in he in e al o 1 <h<3mPs[24]. The maximum o hea dissipa ion occu s o Equa ion 1 when he ma hema ical condi ion 2π τ e = 1 is ul illed [6]. The e o e, conce ning iscosi y, he maximum will be obse ed o a ce ain alue: η∼ ( kBTτN ) / ( 3VH ( 2π τN−1 )). (7) I one changes expe imen al condi ions in ol ed in Equa ion 7 (pa icle size, s eng h and equency o applied magne ic ield, coa ing agen o magne ic ma e- ial o he NPs), he loca ion, heigh and wid h o he maximum o hea dissipa ion cu e can change comple- ely, gi ing ise o a a ie y o magne ic SAR ela ion- ships wi h iscosi y. This explains why in li e a u e one can ind di e en beha iou s o SAR wi h iscosi y: a iscosi y independen cu e, a decaying one o e en an inc easing one, jus only by a ying he pa icle sizes and composi ion [25]. Also a Lo en zian cu e, wi h a maximum loca ed a ce ain alues o iscosi y, has been epo ed [24]. In his sense, he maximum o ou SAR cu e is ob ained o a highe iscosi y alue han [19] because he chemical/physical cha ac e is ics o ou MNPs (size, mo phology, coa ing, e c.) and he expe imen al condi- ions o he applied RF magne ic ield a e di e en . Conclusions Biocompa ible PAA-coa ed magne i e based e o luids con aining SPM nanopa icles o ≈10 nm ha e been chemically syn hesized. The in luence o se e al colloidal pa ame e s on he speci ic powe abso p ion o hese magne ic dispe sions has been s udied. Pa icle concen- a ion dependence o SAR has been mainly obse ed a low magne i e concen a ions and a maximum in he SAR has been sugges ed as a unc ion o he sol en iscosi y a ound 22 mPa s. Abb e ia ions ATR: a enua ed ansmission e lec ance; BF: b illian ield; FTIR: a ansmission in a- ed; HR: high esolu ion; MNPs: magne ic nanopa icles; Ms: magne iza ion o sa u a ion; PAA: poly(ac ylic acid); RF: adio equency; SAR: speci ic abso p ion a e; SPA: speci ic powe abso p ion; SPM: supe pa amagne ic; STEM: scanning ansmission elec on mic oscopy; SQUID: supe conduc ing quan um in e e ence de ice; TEM: ansmission elec on mic oscopy; TMAOH: e ame hylammonium hyd oxide; XRD: X- ay di ac ion. Acknowledgemen s This wo k is suppo ed by he Eu opean Communi y’s unde he FP7- Coope a ion P og amme h ough he MAGISTER p ojec ‘Magne ic Sca olds o in i o Tissue Enginee ing’La ge Collabo a i e P ojec FP7 - 21468. h p://www.magis e -p ojec .eu/ Au ho de ails 1 Applied Physics and Physical Chemis y Depa men s, Uni e si y o San iago de Compos ela, San iago de Compos ela, 15782, Spain 2 R&D Depa men , Nanogap Subnmpowde SA, Milladoi o, Ames, A Co uña, 15985, Spain 3 Ins i u o de Nanociencia de A agón and Condensed Ma e Physics Depa men , Uni e si y o Za agoza, Za agoza, 50018, Spain Au ho s’con ibu ions YP-R ca ied ou he hype he mia/SAR measu emen s, pa icipa ed in he discussion and helped o d a he manusc ip . MB-L pa icipa ed in he design o he s udy, in he syn hesis and chemical/physical cha ac e iza ion o he samples, in he discussion and d a ed he manusc ip . IP-B pa icipa ed in he syn hesis and chemical cha ac e iza ion o he samples. GG was in ol ed in he design and ab ica ion o he hype he mia equipmen , pa icipa ed in he discussion and e ised he manusc ip . MAL- Q pa icipa ed in he discussion and e ised he manusc ip . JR pa icipa ed in i s design, coo dina ion and e ised he manusc ip . All he au ho s ead and app o ed he inal manusc ip . Compe ing in e es s The au ho s decla e ha hey ha e no compe ing in e es s. Recei ed: 5 No embe 2010 Accep ed: 16 May 2011 Published: 16 May 2011 Re e ences 1. Pankhu s QA, Connolly J, Jones SK, Dobson J: Applica ions o magne ic nanopa icles in biomedicine. J Phys D Appl Phys 2003, 36:R167. 2. Lau en S, Fo ge D, Po M, Roch A, Robic C, Vande Els L, Mulle RN: Magne ic i on oxide nanopa icles: syn hesis, s abiliza ion, ec o iza ion, physicochemical cha ac e iza ions, and biological applica ions. Chem Re 2008, 108:2064. 3. Hadjipanayis CG, Bonde MJ, Balak ishnan S, Wang X, Mao H, Hadjipanayis GC: Me allic I on Nanopa icles o MRI Con as Enhancemen and Local Hype he mia. 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J Magn Magn Ma e 2007, 311:228. 25. Fo in J-P, Gazeau F, Wilhelm C: In acellula hea ing o li ing cells h ough Néel elaxa ion o magne ic nanopa icles. Biophys Le 2008, 37:223. doi:10.1186/1556-276X-6-383 Ci e his a icle as: Piñei o-Redondo e al.: The in luence o colloidal pa ame e s on he speci ic powe abso p ion o PAA-coa ed magne i e nanopa icles. Nanoscale Resea ch Le e s 2011 6:383. Submi you manusc ip o a jou nal and bene i om: 7 Con enien online submission 7 Rigo ous pee e iew 7 Immedia e publica ion on accep ance 7 Open access: a icles eely a ailable online 7 High isibili y wi hin he i eld 7 Re aining he copy igh o you a icle Submi you nex manusc ip a 7 sp inge open.com Piñei o-Redondo e al.Nanoscale Resea ch Le e s 2011, 6:383 h p://www.nanoscale esle .com/con en /6/1/383 Page 7 o 7