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Determination of Pore Size Distribution at the Cell-Hydrogel Interface

Abstract

Abstract Background Analyses of the pore size distribution in 3D matrices such as the cell-hydrogel interface are very useful when studying changes and modifications produced as a result of cellular growth and proliferation within the matrix, as pore size distribution plays an important role in the signaling and microenvironment stimuli imparted to the cells. However, the majority of the methods for the assessment of the porosity in biomaterials are not suitable to give quantitative information about the textural properties of these nano-interfaces. Findings Here, we report a methodology for determining pore size distribution at the cell-hydrogel interface, and the depth of the matrix modified by cell growth by entrapped HepG2 cells in microcapsules made of 0.8% and 1.4% w/v alginate. The method is based on the estimation of the shortest distance between two points of the fibril-like network hydrogel structures using image analysis of TEM pictures. Values of pore size distribution determined using the presented method and those obtained by nitrogen physisorption measurements were compared, showing good agreement. A combination of these methodologies and a study of the cell-hydrogel interface at various cell culture times showed that after three days of culture, HepG2 cells growing in hydrogels composed of 0.8% w/v alginate had more coarse of pores at depths up to 40 nm inwards (a phenomenon most notable in the first 20 nm from the interface). This coarsening phenomenon was weakly observed in the case of cells cultured in hydrogels composed of 1.4% w/v alginate. Conclusions The method purposed in this paper allows us to obtain information about the radial deformation of the hydrogel matrix due to cell growth, and the consequent modification of the pore size distribution pattern surrounding the cells, which are extremely important for a wide spectrum of biotechnological, pharmaceutical and biomedical applications.

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Determination of Pore Size Distribution at the Cell-Hydrogel Interface

Author: Leal Egaña, Aldo; Dietrich-Braumann, Ulf; Díaz Cuenca, Aranzazu; Nowicki, Marcin; Bader, Augustinus
Publisher: BioMed Central
Year: 2011
DOI: 10.1186/1477-3155-9-24
Source: https://idus.us.es/bitstreams/bc7683d5-a982-4787-b33c-dc111ca7d4ab/download
SHORT COMMUNICATION Open Access
De e mina ion o po e size dis ibu ion a he
cell-hyd ogel in e ace
Aldo Leal-Egaña
1*
, Ul Die ich-B aumann
2
, A ánzazu Díaz-Cuenca
3,4
, Ma cin Nowicki
5
and Augus inus Bade
1
Abs ac
Backg ound: Analyses o he po e size dis ibu ion in 3D ma ices such as he cell-hyd ogel in e ace a e e y
use ul when s udying changes and modi ica ions p oduced as a esul o cellula g ow h and p oli e a ion wi hin
he ma ix, as po e size dis ibu ion plays an impo an ole in he signaling and mic oen i onmen s imuli
impa ed o he cells. Howe e , he majo i y o he me hods o he assessmen o he po osi y in bioma e ials a e
no sui able o gi e quan i a i e in o ma ion abou he ex u al p ope ies o hese nano-in e aces.
Findings: He e, we epo a me hodology o de e mining po e size dis ibu ion a he cell-hyd ogel in e ace, and
he dep h o he ma ix modi ied by cell g ow h by en apped HepG
2
cells in mic ocapsules made o 0.8% and
1.4% w/ algina e. The me hod is based on he es ima ion o he sho es dis ance be ween wo poin s o he
ib il-like ne wo k hyd ogel s uc u es using image analysis o TEM pic u es. Values o po e size dis ibu ion
de e mined using he p esen ed me hod and hose ob ained by ni ogen physiso p ion measu emen s we e
compa ed, showing good ag eemen . A combina ion o hese me hodologies and a s udy o he cell-hyd ogel
in e ace a a ious cell cul u e imes showed ha a e h ee days o cul u e, HepG
2
cells g owing in hyd ogels
composed o 0.8% w/ algina e had mo e coa se o po es a dep hs up o 40 nm inwa ds (a phenomenon mos
no able in he i s 20 nm om he in e ace). This coa sening phenomenon was weakly obse ed in he case o
cells cul u ed in hyd ogels composed o 1.4% w/ algina e.
Conclusions: The me hod pu posed in his pape allows us o ob ain in o ma ion abou he adial de o ma ion o
he hyd ogel ma ix due o cell g ow h, and he consequen modi ica ion o he po e size dis ibu ion pa e n
su ounding he cells, which a e ex emely impo an o a wide spec um o bio echnological, pha maceu ical and
biomedical applica ions.
Backg ound
Algina e is a na u al polysaccha ide, which o ms s able
h ee-dimensional (3D) hyd ogels upon binding di alen
ca ions such as Ca
2+
,S
2+
o Ba
2+
. Due o he high
immune compa ibili y, he use o algina e o en ap cells
has been widely s udied wi h he pu pose o en apping
immo alized and/o ans o med cells which could
eplace mal unc ioning issues o a diseased o gan [1].
Besides, algina e mic ocapsules can be used o es he
ac ion o an icance d ugs on malignan cells embedded
in a 3D en i onmen ( umou -like mic ocapsules) [2].
Owing o he enhanced p oli e a ion capaci y o
immo alized and/o cance cells, he analysis o modi i-
ca ions o he in e ace be ween cell and bioma e ial
wi h cell g ow h is highly desi able. Some me hods o
cha ac e ize he po ous s uc u e o he 3D ne wo ks
ha e been p e iously epo ed, such as me cu y in u-
sion po osime y [3], ni ogen physiso p ion [4], and he
di usion kine ics o ele an solu es [5]. Ne e heless,
hese echniques canno be applied in he p esence o
cells, no do hey gi e in o ma ion abou modi ica ions
p oduced a he cell-bioma e ial in e ace due o cell
p oli e a ion.
Owing o he easibili y o ob aining and analyzing
high esolu ion elec on mic oscope images o c yo ixed
cells embedded in 3D ma ices, i is one o he mos
widely used echniques o analyze ex u al p ope ies o
hyd ogels, o e ing he ad an age o simul aneously
* Co espondence: [email p o ec ed]
1
Depa men o Cell Technology and Applied S em Cell Biology,
Bio echnology and Biomedicine Cen e (BBZ), Uni e si y o Leipzig.
Deu sche Pla z 5, 04103, Leipzig, Ge many
Full lis o au ho in o ma ion is a ailable a he end o he a icle
Leal-Egaña e al.Jou nal o Nanobio echnology 2011, 9:24
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© 2011 Leal-Egaña e al; licensee BioMed Cen al L d. 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.
ob aining in o ma ion pe aining o bo h he cells and
he ma e ial comp ising he ma ix [6]. Since hyd ogels
a e mos commonly o med by ne wo ks o andomly
in e connec ed polyme s, hey o m complex mic oa ch-
i ec u es o ca i ies wi h a iable shapes and mo pholo-
gies. E en hough well-de ined po e-like s uc u es can
be clea ly obse ed wi h scanning elec on mic oscopy
[7], we need o conside o he app oaches o ex ac ing
accu a e quan i a i e h ee dimensional in o ma ion o
he hyd ogel ma ix om measu emen s made in wo
dimensions.
In his pape we desc ibe a me hodology based on
au oma ed image p ocessing and analysis o ansmis-
sion elec on mic oscopy (TEM) images ob ained om
hyd ogels, and i s applicabili y on de e mining modi ica-
ions o he po e size dis ibu ion a he cell-algina e
in e ace as a esul o cell g ow h.
The me hod was pe o med a e en apping he hepa-
oca cinoma cell line HepG
2
, which ep esen s an exam-
ple o cells wi h enhanced p oli e a i e capaci y.
Findings
Ma e ial and me hods
Elec on mic oscopy images
T ansmission Elec on Mic oscopy (TEM) images we e
ob ained wi h an Elec on Mic oscope (Ca l Zeiss EM
10, Ge many) acco ding o me hods published p e-
iously [8]. B ie ly, he me hod is based on he ixa ion
o algina e mic ocapsules wi h a 2.5% glu a aldehyde
solu ion (Se a, Ge many) dissol ed in a bu e solu ion
composed o 9 g/l NaCl (Ca l Ro h, Ge many), 5.55 g/l
CaCl
2
(Me ck, Ge many) and 10.46 g/l o Mops bu e
(Ca l Ro h, Ge many). A e o e nigh ixa ion (4°C),
algina e mic ocapsules we e sa u a ed wi h 2.0% (w/ )
aga ose (Ca l Ro h, Ge many), and ixed again wi h 2.5%
glu a aldehyde a 4°C o 1 h. Capsules we e insed
h ee imes o 20 min wi h he bu e solu ion. Pos -
ixa ion was pe o med by using 1.0% osmium e oxide
(Me ck, Ge many) a 4°C (2 × 1h), and pos e io
embedded in Du cupan (Sigma-Ald ich, Ge many).
Ul a hin sec ions we e s ained wi h u anyl ace a e and
lead ci a e (Se a, Ge many) [8].
The o al numbe o TEM pic u es ob ained was 72,
assuming a andom dis ibu ion o cells wi hin he algi-
na e capsules.
Tex u al p ope ies o cell- ee algina e mic ocapsules [4]
Measu emen s we e ca ied ou a e d ying he mic o-
capsules in CO
2
beyond he c i ical poin . N
2
adso p-
ion-deso p ion iso he ms we e collec ed using a
Mic ome i ics ASAP2010 gas adso p ion analyze a
77K, a e degassing he samples a 298K o e nigh on a
acuum line. The B unaue -Emme -Telle (BET) speci ic
su ace a ea was e alua ed using adso p ion da a in a
ela i e p essu e ange, 0.05 o 0.2 [9]. Algina e ma ix
po e size dis ibu ion was calcula ed on he basis o he
deso p ion b anches using he Ba e -Joyne -Halenda
me hod (BJH) [10].
Cell cul u e
HepG
2
cells (ob ained om he depa men al cell bank
o he S em Cell Biology labo a o y, Uni e si y o Leip-
zig, Ge many) we e cul i a ed in DMEM (Bioch om,
Ge many) supplemen ed wi h 15% / oe al bo ine
se um (GIBCO, Sco land), 100 ng/ml sodium py u a e
(Sigma-Ald ich, Ge many) and 50μg/ml Gen amycin
(PAA labo a o ies, Aus ia).
Cell encapsula ion
HepG
2
cells we e immobilized in 0.8% and 1.4% w/
algina e-CaCl
2
mic ocapsules o 500μm diame e
acco ding o me hods desc ibed p e iously [4,8]. A com-
me cially a ailable encapsula ion sys em (Inno ech, IE-
50R) wi h a 250μm nozzle was used. This sys em p o-
duces capsules wi h a diame e o up o 500μm. In all
cases, he ini ial numbe o immobilized HepG
2
pe mL
algina e was 1.5·10
6
(app oxima ely 100 cells pe cap-
sule). The iabili y o he immobilized cells be o e he
p ocess o encapsula ion was de e mined by he T ipan
Blue exclusion me hod (Sigma-Ald ich, UK), whe e he
iabili y o HepG
2
eached 95%.
De e mina ion o cell and/o agg ega es sizes
Analysis o cells and/o agg ega es adii was ca ied ou
by using he p og am Axio ision (Ca l Zeiss, Ge many)
a e images cap u e o cells and/o agg ega es wi h an
Axio e HRC came a (Ca l Zeiss, Ge many) moun ed
on an in e ed mic oscope (Zeiss Axio e 200). Ana-
lyses o size dis ibu ion we e ca ied ou wi h a mini-
mum numbe o 200 capsules, which we e placed in a 4
well pla e con aining 500 μL media, 0.05% / concen-
a ion o Calcein A/M (In i ogen, USA) and 0.25% /
o E hidium homodime I (In i ogen, USA).
Image Analysis
Au oma ed analysis o ansmission elec on mic oscopy
(TEM) was accomplished using he ollowing p o ocol:
i s ly, ela i ely high image-inhe en con as basically
makes au oma ic image segmen a ion (algina e s. ca -
i ies) s aigh o wa d by applying bina iza ion using a
simple h esholding, howe e , p ep ocessing is equi ed
in o de o compensa e o local con as luc ua ions,
so ha image inhomogenei y co ec ion using a high-
pass il e [11] was applied. Image noise was emo ed
doing a p ese ing edge-smoo hing using o al a ia ion
il e ing [12]. Addi ionally, cohe ence-enhancing shock
il e ing [13] was done o u he in ensi y all di ec ed
algina e s uc u es. P e-p ocessed TEM images we e
hen pa i ioned in o algina e and ca i y segmen s using
bina iza ion. The minimum accep ed lumen a ea was se
o app ox. 275nm². Measu emen s o hese bina y
images we e pe o med using an unsigned Euclidean
image dis ance ans o ma ion [14] p o iding o all
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backg ound pixels a espec i esho es dis ance o he
su ounding algina e, he eby ob aining alues o ela i e
adii o hese ca i ies. The numbe o imes he same
alue was epea ed is he ea e dubbed he equency.
All dis ance ans o ma ion-based measu emen s we e
accomplished along he skele on be ween wo opposi e
algina e ib ils. Disc e e alues o adii o he algina e
ca i ies a e named in his pape as ela i e po e adius
( p ). Fo images ob ained a e cell en apmen , we ca -
ied ou he p o ocol desc ibed abo e, ollowed by co -
ela ing measu emen s o ela i e po e adii o he
pe pendicula dis ance om he in e ace cell-bioma e -
ial, assuming a maximum dis ance o 400 nm. This was
ca ied ou by delinea ing he cell con ou o gene a e a
mask, which was used as a s a ing poin o measu e-
men s, again accomplished based on a compu a ional
e ec i e Euclidean dis ance ans o m. In o de o
ob ain a dis ibu ion o alues in pe cen , p be ween
10 and 70 nm we e g ouped in a disc e e clus e . All
image p ocessing was accomplished using he compu e
algeb a sys em MATHEMATICA
®
(Wol am Resea ch,
Inc., U bana-Champaign, Illinois, USA) including he
Digi al Image package w i en by Jens-Pee Kuska.
Simila o he measu emen s o ela i e po e’s adii,
a e ea men o he images wi h he p ocedu es
desc ibed p e iously, measu emen s o diame e s o he
algina e ib ils we e ca ied ou by measu ing he dis-
ance ans o m masked ou along a ib il skele on. The
p ecision o ou me hod depends o he image esolu-
ion, whe e in case o he pic u es used in his pape
(ob ained wi h an ampli ica ion o 20000X), 1 pixel
ep esen s 2.34 nm².
Resul s and Discussion
Figu e 1 shows 2D images o he ma ix nano-a chi ec-
u e o he algina e hyd ogel mic ocapsules. The hyd o-
gel ma ix is o med by a ne wo k o ib il-like
s uc u es which can be iden i ied and disc imina ed
om he su ounding ca i ies by compu a ional p o-
g ams. These ca i ies a e named in his pape as ela i e
Figu e 1 Illus a ion o he me hod o de e mine po e size dis ibu ion de eloped in his wo k. Image A depic s a hyd ogel as i is
ypically obse ed using ansmission elec on mic oscopy. Image B shows he esul s o he image segmen a ion a e bina iza ion. Image C
shows he esul o a Euclidean dis ance ans o ma ion. Image D gi es an o e lay o he po e egion image skele on ( ed lines) wi h he o iginal
image. Image skele ons a e one-pixel wide cen e axes. They a e de ined ia he se o inne po e pixels. The se is de ined ia local dis ance
maxima wi h espec o algina e segmen s. Scale ba co esponds o 250 nm.
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po es ( p). In his wo k we measu ed he sho es dis-
ance be ween wo opposi e poin s o hese ib il-like
s uc u es, gene a ing a simula ed skele on, which
allowed us o es ima e he dimensions o he p. Hal o
his dis ance, named in his pape as he ela i e po e
adius ( p ), was used as he c i e ia o de ining he
sizes o hese ca i ies. In addi ion, he equency in he
de e mina ion o he same alues o p s was analyzed,
wi h he pu pose o s udying he po e size dis ibu ion.
This analysis allows us o compa e di e en concen a-
ions o hyd ogels, and he po e size dis ibu ion mea-
su ed wi h o he s anda dized me hods.
To analyze he eliabili y o ou image analysis, he
alues o he po e size dis ibu ion o cell- ee mic ocap-
sules we e compa ed wi h hose ob ained by ni ogen
physiso p ion on d ied mic ocapsules. Al hough his
echnique is widely used o measu e su ace a eas in
powde s and po ous ne wo ks, i can also p o ide use ul
in o ma ion abou po e size in he mesopo ous ange.
The iso he ms ob ained a e p esen ed in Figu e 2, and i
is possible o obse e a simila beha iou o hose o
ype IV and hys e esis ype H
3
acco ding o he IUPAC
classi ica ion [15], ypical o mesopo ous solids wi h
s ong adso ben -adso ba e in e ac ions, indica ing he
p esence o la ge mesopo es wi h a size dis ibu ion ha
con inues in o he mac opo e domain (po es > 50 nm).
Type H
3
loops a e usually gi en by adso ben s con ain-
ing sli -shaped po es in good ag eemen wi h he
obse ed ne wo k ca i ies. The adso p ion a low ela-
i e p essu e allowed us o e alua e he speci ic su ace
a ea o he samples by he BET me hod, assuming a
monolaye o N
2
molecules co e ing 0.162 nm
2
. Speci ic
su ace a eas o 245 and 532 m
2
.g
-1
ha e been ob ained
o capsules made o 0.8% and 1.4% w/ algina e espec-
i ely, in a ep oducible and well-co ela ed measu e-
men wi h he inc ease in biopolyme ma e ial pe
capsule o simila dimensions (app oxima ely 500 μmin
diame e ).
Table 1 shows he compa ison o he esul s ob ained
in mic ocapsules made o 0.8% and 1.4% w/ algina e,
using ou image analysis and he N
2
-adso p ion-deso-
p ion. The good ag eemen be ween he esul s o bo h
me hods is clea , wi h e o s lowe han 5.0%. The
esul s in Table 1 indica e ha algina e hyd ogels ha e a
wide dis ibu ion o ela i e po es, wi h dimensions up
o oughly 70nm. Quan i ies o po es smalle han 10
nm co espond o app oxima ely 50% in he case o algi-
na e 0.8% w/ , and app oxima ely 60% in he case o
algina e 1.4% w/ mic ocapsules, indica ing ha bo h
ma ices seem o be e y simila in e ms o po e size
dis ibu ion. Beside he de e mina ion o he dimension
o he ca i ies o ming he algina e ma ix, ou me ho-
dology allowed us o de e mine he algina e ib il-like
s uc u e wid h, which is highe in he case o algina e
1.4% han in he capsules made o 0.8% w/ (Table 2).
I is impo an o no e ha al hough he hyd ogel
ma ix allows easy di usion o se e al nu ien s wi h
small molecula weigh (e.g. glucose, oxygen), he p e-
sence o a high popula ion o po es smalle o 10 nm
could es ic he di usion o some p o eins, such as
albumin and/o hemoglobin (S okes adius o 3.1-3.5
nm and 2.4 nm espec i ely) [16].
I is impo an o ema k ha he sensi i i y o ou
me hod elies on he mic og aph image esolu ion.
Thus, he use o image analysis becomes a powe ul
s a egy o he analysis o meso- and nano- po ous
Figu e 2 N
2
adso p ion (black illed symbols) - deso p ion
(un illed symbols) a 77K iso he ms o supe c i ical CO
2
d ied
capsules made o 0.8% ( iangles) and 1.4% w/ (ci cles).
Table 1 Compa ison o alues o ela i e po e adius ( p ) de e mined by N
2
adso p ion-deso p ion and image
analyses in cell- ee mic ocapsules made o 0.8% and 1.4% w/ algina e
Range p (nm) 0.8% w/ Algina e 1.4% w/ Algina e
N
2
-adso p ion (%) Image analysis (%) N
2
-adso p ion (%) Image analysis (%)
p ≤10 48.9 ± 1.3 49.4 ± 2.3 59.8 ± 1.5 62.8 ± 1.8
10 < p < 20 15.4 ± 1.1 16.7 ± 2.3 16.1 ± 1.2 19.9 ± 1.1
20 < p < 25 13.3 ± 1.0 11.1 ± 2.2 8.9 ± 1.0 9.4 ± 1.6
25 < p < 40 11.3 ± 0.8 9.3 ± 1.9 8.8 ± 0.7 4.7 ± 0.4
40 < p < 70 9.0 ± 0.5 11.0 ± 0.7 5.3 ± 0.5 2.9 ± 0.3
70 < p 2.2 ± 0.3 3.0 ± 0.3 1.1 ± 0.2 1.0 ± 0.2
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ma e ials, p esen ing clea ad an ages o o he s a egies
o cha ac e iza ion o ex u al p ope ies o hyd ogels.
A e cha ac e iza ion o cell- ee algina e hyd ogel,
HepG
2
cells we e en apped in mic ocapsules made o
0.8% and 1.4% w/ algina e, and cul u ed o 6 days,
analyzing agg ega ion and p oli e a ion as inc eases in
he size o single cells and agg ega es. Since algina e
lacks domains o p o eases, en apped cells canno
mig a e in o he ma ix, gene a ing sphe ical agg ega es
a e p oli e a ion, which can be analyzed by measu ing
hei diame e s [17]. As Figu e 3 shows, cells en apped
in 0.8% w/ mic ocapsules inc eased hei size much
mo e han hose immobilized in 1.4% w/ .
Measu emen s o p sizes and equency we e ca ied
ou on days 0, 3 and 6, in a simila manne o he de e -
mina ions pe o med in cell- ee hyd ogels. These alues
we e co ela ed wi h a hi d pa ame e measu ed pe -
pendicula ly inwa ds om he algina e ma ix o he
cell. This analysis allows us o quan i y he ex ension
(dep h) o which he cells can modi y he ma e ial
ma ix in e ms o po e size dis ibu ion.
Ou esul s show signi ican modi ica ions in he pa -
e n o po e size dis ibu ion, mos ly obse ed in case o
cells en apped in hyd ogels made o 0.8% algina e,
whe e an inc ease in he p esence o po es smalle han
10 nm was clea ly obse ed (Figu e 4). Fu he mo e,
hese modi ica ions we e obse able up o dep hs o 40
nm om he in e ace, wi h he highe coa sening
de ec ed wi hin he i s 20 nm om he in e ace. By
con as , only sligh de o ma ions we e obse ed in he
expe imen s pe o med wi h hyd ogels made o 1.4% w/
algina e (app oxima ely 40 nm om he in e ace),
whe e coa sening o po es seems o be much slowe and
mo e homogeneous han in he so e capsules.
The highe esis ance o he mo e highly concen a ed
hyd ogel o mechanical de o ma ion can be explained
by inc eases in bo h he pe cen age o po es smalle
han 10 nm, and he hickness o he algina e ib il-like
s uc u es, due o inc eased c osslinking o algina e
polyme .
Acco ding o ecen publica ions, immobilized cells
wi hin algina e hyd ogels a e submi ed o comp ession
o ces which lead single cells o gene a e cellula mic o-
sphe oids [18]. Thus, analyses o adial de o ma ion o
he algina e ma ix due o cell g ow h and he conse-
quen modi ica ion o he po e size dis ibu ion pa e n
can gi e us e y impo an in o ma ion abou modula-
ion o a es o molecula di usion o nu ien s/was e
p oduc s, in o ma ion which is no only ex emely use ul
o biomedical applica ions [1], bu also o s udying he
de elopmen o p ima y umou s in umo -like mic o-
capsules [2,19], as men ioned p e iously.
I is impo an o men ion ha me hods o cell ixa-
ion can sligh ly diminish cell size, and he e o e a sho
dis ance be ween cells and he ma e ial in e ace can be
obse ed in se e al cases. Ne e heless, as shown in Fig-
u es 1 and 4, his does no a ec he po e size dis ibu-
ion and he ex u al p ope ies o he ma ix ma e ial,
ensu ing he eliabili y o ou me hod. As a inal ema k,
i is impo an o no e ha al hough ou me hodology
has been no es ed wi h o he polyme s, because i is
based on image analysis o TEM pic u es, s udies o
modi ica ions o he cell-hyd ogel in e ace may be pos-
sible in di e en ypes o hyd ogels which main ain hei
ex u al p ope ies a e ixa ion.
Table 2 Compa ison o alues o ib il-like adii ( l )
de e mined by image analyses in algina e mic ocapsules
made o 0.8% and 1.4% w/ algina e
Range (nm) 0.8% w/ Algina e(%) 1.4% w/ Algina e(%)
l ≤2.34 48.7 ± 2.8 30.3 ± 2.4
2.34 < l < 4.68 48.9 ± 3.2 64.0 ± 3.1
4.68 < l < 7.02 2.3 ± 0.3 5.5 ± 0.5
7.02 < l < 9.36 0.1 ± 0.01 0.3 ± 0.1
9.36 < l 0.0 ± 0.0 0.0 ± 0.0
Figu e 3 Sizes o HepG
2
cell popula ion (indi idual li ing cells
and agg ega es) wi hin mic ocapsules made o 0.8% (A) and
1.4% w/ (B) algina e, du ing days 0 (yellow iangles), 3 ( illed
ci cles), and 6 (open ci cles) o cul u e.
Leal-Egaña e al.Jou nal o Nanobio echnology 2011, 9:24
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Acknowledgemen s
The au ho s hank D . John Ha dy and Eileen Lin z o p oo - eading and
cons uc i e c i icism du ing he p epa a ion o his manusc ip . We
g a e ully acknowledge he inancial suppo p o ided by he Spanish
Go e nmen , Depa men o Science and Inno a ion, MICINN (Plan Nacional
BIO2009-13903-C02-02). Aldo Leal-Egaña is g a e ul o he inancial suppo
by a g an om he Ge man Academic Exchange Se ice (Deu sche
Akademische Aus auschdiens ). Ul -Die ich B aumann is g a e ul o he
long and ui ul coope a ion wi h D . Jens-Pee Kuska who died in 2009 a
he young age o 45.
Au ho de ails
1
Depa men o Cell Technology and Applied S em Cell Biology,
Bio echnology and Biomedicine Cen e (BBZ), Uni e si y o Leipzig.
Deu sche Pla z 5, 04103, Leipzig, Ge many.
2
Ins i u e o Medical In o ma ics,
S a is ics, and Epidemiology (IMISE), Uni e si y o Leipzig, Hä els aße 16-18,
04107 Leipzig, Ge many.
3
Ma e ials Science Ins i u e o Se ille (Spanish
Na ional Resea ch Council (CSIC) - Uni e si y o Se ille), Cen o de
In es igaciones Cien í icas Isla de la Ca uja, A da. Ame ico Vespucio no. 49,
41092 Se illa, Spain.
4
Ne wo king Resea ch Cen e on Bioenginee ing,
Bioma e ials and Nanomedicine (CIBER-BBN), Spain.
5
Ins i u e o Ana omy,
Medicine Facul y, Uni e si y o Leipzig, Liebigs asse 13, 04103 Leipzig,
Ge many.
Au ho s’con ibu ions
ALE concei ed and designed he me hod, pe o med he expe imen s and
in e p e ed he da a. UDB pe o med he image analysis and concei ed he
me hod. ADC pe o med he ex u al analysis and in e p e ed he da a. MN
ob ained he elec on mic oscopy images. ALE, ADC, and UDB p epa ed he
manusc ip . AB and ADC c i ically e ised he in ellec ual con en o he
manusc ip and ga e he inal app o al o he e sion o be published. All
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: 20 Feb ua y 2011 Accep ed: 27 May 2011
Published: 27 May 2011
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doi:10.1186/1477-3155-9-24
Ci e his a icle as: Leal-Egaña e al.: De e mina ion o po e size
dis ibu ion a he cell-hyd ogel in e ace. Jou nal o Nanobio echnology
2011 9:24.
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