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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mech. Eng.</journal-id>
<journal-title>Frontiers in Mechanical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mech. Eng.</abbrev-journal-title>
<issn pub-type="epub">2297-3079</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmech.2016.00012</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mechanical Engineering</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Characterization of Ferrofluid-Based Stimuli-Responsive Elastomers</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>de Pedro</surname> <given-names>Sandra</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Mu&#x000F1;oz-Berbel</surname> <given-names>Xavier</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/209602"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Rodr&#x000ED;guez-Rodr&#x000ED;guez</surname> <given-names>Rosalia</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Sort</surname> <given-names>Jordi</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/80905"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Plaza</surname> <given-names>Jose A.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Brugger</surname> <given-names>Juergen</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/192586"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Llobera</surname> <given-names>Andreu</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/204413"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cadarso</surname> <given-names>Victor J.</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<uri xlink:href="http://frontiersin.org/people/u/199928"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Esfera UAB, Institut de Microelectr&#x000F2;nica de Barcelona IMB-CNM (CSIC)</institution>, <addr-line>Bellaterra</addr-line>, <country>Spain</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Pharmacology, University of Sevilla</institution>, <addr-line>Sevilla</addr-line>, <country>Spain</country></aff>
<aff id="aff3"><sup>3</sup><institution>Faculty of Medicine and Health Sciences, Basic Sciences Department, Universitat Internacional de Catalunya</institution>, <addr-line>Barcelona</addr-line>, <country>Spain</country></aff>
<aff id="aff4"><sup>4</sup><institution>Departament de F&#x000ED;sica, Instituci&#x000F3; Catalana de Recerca i Estudis Avan&#x000E7;ats (ICREA), Universitat Aut&#x000F2;noma de Barcelona</institution>, <addr-line>Bellaterra</addr-line>, <country>Spain</country></aff>
<aff id="aff5"><sup>5</sup><institution>Microsystems Laboratory, &#x000C9;cole Polytechnique F&#x000E9;d&#x000E9;rale de Lausanne (EPFL)</institution>, <addr-line>Lausanne</addr-line>, <country>Switzerland</country></aff>
<aff id="aff6"><sup>6</sup><institution>Laboratory for Micro and Nanotechnology, Paul Scherrer Institut (PSI)</institution>, <addr-line>Villigen</addr-line>, <country>Switzerland</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Oscar Vazquez Mena, University of California San Diego, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Yi Chiu, National Chiao Tung University, Taiwan; Philipp Sebastian Schattling, Aarhus University, Denmark</p></fn>
<corresp content-type="corresp" id="cor1">&#x0002A;Correspondence: Andreu Llobera, <email>andreu.llobera&#x00040;imb-cnm.csic.es</email></corresp>
<fn fn-type="other" id="fn002"><p>Specialty section: This article was submitted to Micro- and Nanoelectromechanical Systems, a section of the journal Frontiers in Mechanical Engineering</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>12</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="collection">
<year>2016</year>
</pub-date>
<volume>2</volume>
<elocation-id>12</elocation-id>
<history>
<date date-type="received">
<day>05</day>
<month>07</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>11</month>
<year>2016</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2016 de Pedro, Mu&#x000F1;oz-Berbel, Rodr&#x000ED;guez-Rodr&#x000ED;guez, Sort, Plaza, Brugger, Llobera and Cadarso.</copyright-statement>
<copyright-year>2016</copyright-year>
<copyright-holder>de Pedro, Mu&#x000F1;oz-Berbel, Rodr&#x000ED;guez-Rodr&#x000ED;guez, Sort, Plaza, Brugger, Llobera and Cadarso</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Stimuli-responsive materials undergo physicochemical and/or structural changes when a specific actuation is applied. They are heterogeneous composites, consisting of a non-responsive matrix where functionality is provided by the filler. Surprisingly, the synthesis of polydimethylsiloxane (PDMS)-based stimuli-responsive elastomers (SRE) has seldomly been presented. Here, we present the structural, biological, optical, magnetic, and mechanical properties of several magnetic SRE (M-SRE) obtained by combining PDMS and isoparafin-based ferrofluid (FF). Independently of the FF concentration, results have shown a similar aggregation level, with the nanoparticles mostly isolated (&#x0003E;60%). In addition to the superparamagnetic behavior, the samples show no cytotoxicity except the sample with the highest FF concentration. Spectral response shows FF concentrations where both optical readout and magnetic actuation can simultaneously be used. The Young&#x02019;s modulus increases with the FF concentration until the highest FF concentration is used. Our results demonstrate that PDMS can host up to 24.6% FF (corresponding to 2.8% weight of Fe<sub>3</sub>O<sub>4</sub> nanoparticles concentration). Such M-SRE are used to define microsystems &#x02013; also called soft microsystems due to the use of soft materials as main mechanical structures. In that scenario, a large displacement for relatively low magnetic fields (&#x0003C;0.3&#x02009;T) is achieved. The herein presented M-SRE characterization can be used for a large number of disciplines where magnetic actuation can be combined with optical detection, mechanical elements, and biological samples.</p>
</abstract>
<kwd-group>
<kwd>stimuli-responsive materials</kwd>
<kwd>elastomers</kwd>
<kwd>ferrofluids</kwd>
</kwd-group>
<contract-num rid="cn01">209243</contract-num>
<contract-sponsor id="cn01">European Research Council<named-content content-type="fundref-id">10.13039/501100000781</named-content></contract-sponsor>
<counts>
<fig-count count="8"/>
<table-count count="3"/>
<equation-count count="3"/>
<ref-count count="50"/>
<page-count count="10"/>
<word-count count="7032"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="introduction">
<title>Introduction</title>
<p>Material engineering has in Nature a nearly infinite source of inspiration, stemming from materials with unique properties that result from billion years&#x02019; evolution. Nature has defined molecular assemblies and interfaces suitable for specific function, and with the ability to adapt to different environments. Biomimetics or, more specifically, bioinspired functional materials (Darder et al., <xref ref-type="bibr" rid="B9">2010</xref>) try to apply biological solutions to material science by imitating Nature. Examples of such are responsive biointerfaces (Yang et al., <xref ref-type="bibr" rid="B49">2014</xref>), control of highly specific cell cultures (Fisher et al., <xref ref-type="bibr" rid="B13">2010</xref>), mimicking muscles (Cheng et al., <xref ref-type="bibr" rid="B7">2015</xref>), or as an active media for quantifying minute amounts of etiological agents (Darder et al., <xref ref-type="bibr" rid="B10">2007</xref>). Among them, of especial relevance are those materials that undergo conformational or phase changes when external stimuli, such as changes in pH (Xiong et al., <xref ref-type="bibr" rid="B48">2014</xref>) or electromagnetic fields (Shi et al., <xref ref-type="bibr" rid="B39">2013</xref>), are applied. Such stimuli-responsive materials (SRM) (Roy et al., <xref ref-type="bibr" rid="B34">2010</xref>) are heterogeneous composites, generally consisting of a filler &#x02013; also called dopant or additive&#x02009;&#x02013; that provides the required functionality and a non-responsive host matrix, which confers mechanical robustness.</p>
<p>Clearly, the filler properties are crucial for any SRM, therefore they have to be selected in accordance to the actuation principle to be used. Fillers, mostly in the form of powders with sub-micrometer or nanometer particle sizes can provide the required properties to the SRM, including magnetic (Filipcsei et al., <xref ref-type="bibr" rid="B12">2007</xref>), electric (Roy et al., <xref ref-type="bibr" rid="B34">2010</xref>; Taleb et al., <xref ref-type="bibr" rid="B41">2014</xref>), mechanical (Sagara and Kato, <xref ref-type="bibr" rid="B35">2009</xref>; Shanmuganathan et al., <xref ref-type="bibr" rid="B38">2010</xref>), or optic (Giammanco et al., <xref ref-type="bibr" rid="B15">2015</xref>; Seo et al., <xref ref-type="bibr" rid="B37">2015</xref>) properties. With regards to the matrix itself, organic and inorganic materials have already been used (Roy et al., <xref ref-type="bibr" rid="B34">2010</xref>). Among them, polymers are gaining special attention since polymeric matrices can be functionalized in bulk, as opposite to inorganic materials, where only surface functionalization can be done. In addition, the polymeric 3D matrix assures the physical (and sometimes chemical) entrapment of the filler inside the polymer (Alves et al., <xref ref-type="bibr" rid="B2">2010</xref>). Elastomers, and specially polydimethylsiloxane (PDMS), can easily be doped with magnetic particles, allowing the synthesis of a specific type of SRM &#x02013; often called stimulus-sensitive or magneto-rheological elastomers, SRE or MRE, respectively. The selection of this elastomer is not at all arbitrary, since it exhibits outstanding properties such as: (i) low Young&#x02019;s modulus (<italic>Y</italic>) (Carrillo et al., <xref ref-type="bibr" rid="B6">2005</xref>); (ii) high transmittance in the UV&#x02013;NIR range (&#x0003E;80%) (Ibarlucea et al., <xref ref-type="bibr" rid="B19">2010</xref>); (iii) biocompatibility (Munoz-Berbel et al., <xref ref-type="bibr" rid="B29">2013</xref>); (iv) long-range thermo-chemical and structural stability (Xia and Whitesides, <xref ref-type="bibr" rid="B47">1998</xref>); and (v) fabrication simplicity (Vila-Planas et al., <xref ref-type="bibr" rid="B43">2011</xref>).</p>
<p>Among the myriad of possible applications, it is in the field of biomedicine where not only the PDMS but more importantly the SRMs (including SRE) have shown the highest potential (Vivero-Escoto et al., <xref ref-type="bibr" rid="B44">2010</xref>). Specifically, SRM for controlled release of theranostic agents (Wang et al., <xref ref-type="bibr" rid="B45">2014</xref>), biosensing/diagnostics (Alves et al., <xref ref-type="bibr" rid="B2">2010</xref>), or smart films/matrices for tissue engineering (Jeong and Gutowska, <xref ref-type="bibr" rid="B21">2002</xref>; Fisher et al., <xref ref-type="bibr" rid="B13">2010</xref>) have already been reported. In all of them, the ubiquitous requirement is that the SRM should also fulfill strict chemical, mechanical, biological, and operational assets: (i) chemically, materials with very low reactivity are preferred due to their inherent stability (Hotz et al., <xref ref-type="bibr" rid="B18">2013</xref>), avoiding leaching of potentially toxic fillers (or subproducts); (ii) mechanically, SRMs should still have a low Young&#x02019;s modulus to more closely adapt to the working region and offer less mechanical resistance in response to an specific stimulus; (iii) biologically, SRM must not cause pro-inflammatory states or cysts that compromise the functionality of the device; and (iv) finally, systems should have small footprint, with contactless actuation and reversible (on/off transition). In this context, SRM suitable to change their shape under non-contact external physical stimulus, such as electromagnetic fields (Ahn et al., <xref ref-type="bibr" rid="B1">2008</xref>) or optical means (Schattling et al., <xref ref-type="bibr" rid="B36">2014</xref>), are preferred. Specifically, magnetically actuable SRM (M-SRM or, when using PDMS as matrix, M-SRE) have been reported in the literature (Zhang et al., <xref ref-type="bibr" rid="B50">2007</xref>), providing with actuation forces in the order of hundreds of millinewton using magnetic nanoparticles (MNPs) (Lu et al., <xref ref-type="bibr" rid="B26">2007</xref>) additive to the PDMS matrices (Khoo and Liu, <xref ref-type="bibr" rid="B25">2001</xref>).</p>
<p>M-SRE have shown large shape tunability and changes in its mechanical properties as a function of the dispersion, distribution, morphology, and loading of the MNPs (Pankhurst et al., <xref ref-type="bibr" rid="B30">2003</xref>; Han et al., <xref ref-type="bibr" rid="B16">2013</xref>). Nevertheless, the mixture of solid (powder) magnetic additives with PDMS to obtain such M-SRE is suboptimal, since this approach is prone to the formation of aggregates. These heterogeneities induce non-homogeneous functionality of the material, which results in poor performance (i.e., uneven physicochemical properties). Moreover, aggregates may drastically modify the optical properties of the obtained material, increasing its surface roughness, changing its surface properties, and hindering the bonding process, hence hampering the systematic use of this material.</p>
<p>An alternative to the aforementioned is to disperse MNPs in carrier liquids. Such stable colloidal form is generally known as ferrofluid (FF) (Pileni, <xref ref-type="bibr" rid="B31">2001</xref>). Among the different commercially available FFs, those containing magnetite (Fe<sub>3</sub>O<sub>4</sub>) nanoparticles immersed in oil as carrier liquid, with diameter ranging between 3 and 15&#x02009;nm and presenting either superparamagnetic or single-domain magnetic behavior, are preferred. Among their properties, such FFs are non-toxic and non-carcinogenic and they exhibit high resistance to oxidation, mainly because of their polymeric capping. Currently, those materials have been used in biological applications, including cellular therapy (Lubbe et al., <xref ref-type="bibr" rid="B27">2001</xref>), drug delivery (Lubbe et al., <xref ref-type="bibr" rid="B27">2001</xref>), magnetic resonance imagining (Hong et al., <xref ref-type="bibr" rid="B17">2008</xref>), and hyperthermia (Jordan et al., <xref ref-type="bibr" rid="B23">1997</xref>).</p>
<p>Even being an extremely promising material, the physicochemical and biological properties of FF-based M-SREs have seldomly been jointly reported (Stuart et al., <xref ref-type="bibr" rid="B40">2010</xref>). In this work, we aim to tackle this issue by characterizing, using various complementary techniques, M-SREs obtained from PDMS as host matrix and isoparafin-based FF containing Fe<sub>3</sub>O<sub>4</sub> nanoparticles as additive. Different properties of the M-SRE as a function of FF concentration are thoroughly investigated. First, the internal structure of the M-SRE (i.e., the particle size, the eventual formation of aggregates, and the structural homogeneity) has been studied by transmission electron microscopy (TEM) analysis. Then, a biocompatibility study of the M-SRE has been carried out to determine if the M-SRE is suitable for cell culture, and how the cell proliferation is affected by the FF concentration. Following, the M-SRE has been both magnetic and optically characterized in bulk and mechanically studied by defining M-SRE cantilevers. As a final example of application, the M-SRE has been used for defining magnetically actuable soft microsystems and its deflection as a function of the applied magnetic field has been measured.</p>
</sec>
<sec id="S2" sec-type="discussion">
<title>Results and Discussion</title>
<sec id="S2-1">
<title>Material Preparation</title>
<p>M-SRE was obtained by mixing PDMS pre-polymer (1:10 in volume curing agent/base elastomer) and six different FF volume ratios (S<sub>0</sub>&#x02009;&#x0003D;&#x02009;0%; S<sub>1</sub>&#x02009;&#x0003D;&#x02009;1.7%; S<sub>2</sub>&#x02009;&#x0003D;&#x02009;3.5%; S<sub>3</sub>&#x02009;&#x0003D;&#x02009;9.8%; S<sub>4</sub>&#x02009;&#x0003D;&#x02009;15.4%; S<sub>5</sub>&#x02009;&#x0003D;&#x02009;20.3%; and S<sub>6</sub>&#x02009;&#x0003D;&#x02009;24.6%), corresponding to Fe<sub>3</sub>O<sub>4</sub> nanoparticles&#x02019; weight concentrations of S<sub>0</sub>&#x02009;&#x0003D;&#x02009;0%; S<sub>1</sub>&#x02009;&#x0003D;&#x02009;0.2%; S<sub>2</sub>&#x02009;&#x0003D;&#x02009;0.4%; S<sub>3</sub>&#x02009;&#x0003D;&#x02009;1.1%; S<sub>4</sub>&#x02009;&#x0003D;&#x02009;1.7%; S<sub>5</sub>&#x02009;&#x0003D;&#x02009;2.3%; and S<sub>6</sub>&#x02009;&#x0003D;&#x02009;2.8%. After homogeneous dispersion, the non-polymerized material was degassed to remove air bubbles and baked so as to achieve 3D polymeric cross-linking.</p>
</sec>
<sec id="S2-2">
<title>Sample Patterning</title>
<p>The structural homogeneity, biocompatibility, optical transmittance, and magnetization were studied in bulk using 2&#x02009;cm&#x02009;&#x000D7;&#x02009;2&#x02009;cm slab samples and having a thickness of 250&#x02009;&#x003BC;m. The M-SREs Young&#x02019;s modulus has been obtained by fabricating the cantilevers shown in Figure <xref ref-type="fig" rid="F1">1</xref>A with dimensions 500&#x02009;&#x003BC;m (width, <italic>w</italic>), 4,400&#x02009;&#x003BC;m (length, <italic>l</italic>), and 250&#x02009;&#x003BC;m (thickness, <italic>h</italic>) and by measuring the maximum deflection when 1&#x02009;g acceleration was applied. Figure <xref ref-type="fig" rid="F1">1</xref>B shows the fabricated cantilever using S<sub>5</sub>. The final soft microsystem was focused toward enhancing its magneto&#x02013;mechanical response. To this effect, a rectangular seismic mass (with dimensions <italic>w</italic><sub>m</sub>, <italic>l</italic><sub>m</sub>, and <italic>h</italic><sub>m</sub>, in micrometers being of 1,600, 2,500, and 250) was included at the cantilever tip, as shown in Figure <xref ref-type="fig" rid="F1">1</xref>C (design) and Figure <xref ref-type="fig" rid="F1">1</xref>D (also fabricated using S<sub>5</sub>).</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>(A)</bold> Design and <bold>(B)</bold> fabricated cantilevers using M-SRE for measurement of the Young&#x02019;s modulus using S<sub>5</sub> M-SRE. <bold>(C)</bold> Design and <bold>(D)</bold> fabricated soft microsystems using the same material. In both cases, the thickness of the structures was of 250&#x02009;&#x003BC;m.</p></caption>
<graphic xlink:href="fmech-02-00012-g001.tif"/>
</fig>
</sec>
<sec id="S2-3">
<title>Structural Properties</title>
<p>One of the most important aspects on synthetizing SRE is to set the filler concentration upper threshold that the polymeric matrix can host, since incomplete polymerization may lead to fragile, brittle, or materials with non-homogeneous response that may leach the filler and therefore have a time-dependent actuation. For thermocurable materials &#x02013; such as the family of M-SREs here presented &#x02013; the curing time is indicative of how the filler affects the 3D cross-linking of the polymeric matrix. In this context, the reference was taken from the curing step for the non-doped material (S<sub>0</sub>, with 0 wt% FF), which was of 20&#x02009;min at 80&#x000B0;C. Identical curing step was required for samples S<sub>1</sub>&#x02013;S<sub>3</sub>, indicative that the filler, in the concentrations used for these specific M-SRE, did not affect the formation of the 3D polymeric matrix at these concentrations. For samples S<sub>4</sub> and S<sub>5</sub>, the curing time was increased to 25&#x02009;min and for sample S<sub>6</sub> up to 35&#x02009;min. Although it was possible to cure this last sample, such an increase of the curing time was highly significant, and variations on the polymer structural properties were to be expected. For this reason, this FF concentration was considered to be the upper threshold.</p>
<p>In parallel, slab samples with low (S<sub>2</sub>) and high (S<sub>6</sub>) FF concentration were used for the image analysis to calculate the average particle diameter, taking into account that the MNP included in the FF have the magnetic core and a polymeric capping. Histograms illustrating nanoparticle size distribution (<italic>D</italic><sub>TEM</sub>) are presented in Figures <xref ref-type="fig" rid="F2">2</xref>A,B, together with representative TEM images (insets in both figures). The deconvolution of such histograms in Gaussian peaks can also be seen in Figure <xref ref-type="fig" rid="F2">2</xref>, and more detailed information is provided in Table <xref ref-type="table" rid="T1">1</xref>. For sample S<sub>2</sub> (Figure <xref ref-type="fig" rid="F2">2</xref>A), a predominant peak centered at a particle size of 8.9&#x02009;&#x000B1;&#x02009;0.1&#x02009;nm was obtained, which could be associated to non-aggregated MNP. A secondary peak was also noticeable located at a particle size of 15.5&#x02009;&#x000B1;&#x02009;0.5&#x02009;nm. With an area of only 11% as compared to the predominant peak, this second Gaussian peak is due to aggregates of two MNPs. Figure <xref ref-type="fig" rid="F2">2</xref>B shows that the histogram for sample S<sub>6</sub> could be deconvoluted into three main peaks, corresponding to single MNPs (8.2&#x02009;&#x000B1;&#x02009;0.1&#x02009;nm), two MNPs&#x02019; aggregate (13.2&#x02009;&#x000B1;&#x02009;0.1&#x02009;nm), and three MNPs&#x02019; aggregate (19.0&#x02009;&#x000B1;&#x02009;0.6&#x02009;nm). As compared to the predominant peak of this sample, peaks &#x00023;2 and &#x00023;3 had a relative area of 44 and 13%, respectively. These data suggested that the increase of MNPs caused a significant increase of small aggregates &#x02013; formed by two or three MNPs &#x02013; which do not hamper the overall behavior of the M-SRE since their distribution is homogeneous in the material, as it can be seen at the insets of Figure <xref ref-type="fig" rid="F2">2</xref>. From these data, it can be confirmed that the PDMS matrix can host up to four times more FF volumes than those previously presented (Pirmoradi et al., <xref ref-type="bibr" rid="B32">2010</xref>; Balasoiu et al., <xref ref-type="bibr" rid="B3">2011</xref>) without having large aggregates. In turn, this higher FF concentration will assure a higher actuation in response to a magnetic stimulus, as it will be discussed in the following sections.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>Nanoparticle size distribution by transmission electron microscopy (TEM) image analysis and Gaussian fitting for (A) 3.5% (S<sub>2</sub>) and (B) 24.6% (S<sub>6</sub>) M-SRE</bold>. Inset in each figure corresponds to TEM images.</p></caption>
<graphic xlink:href="fmech-02-00012-g002.tif"/>
</fig>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Summary of the deconvoluted peaks for studying the particle size distribution of samples S<sub>2</sub> and S<sub>6</sub></bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="center" rowspan="2"/>
<th valign="top" align="center" colspan="2">S<sub>2</sub><hr/></th>
<th valign="top" align="center" colspan="3">S<sub>6</sub><hr/></th>
</tr>
<tr>
<th valign="top" align="center">Peak &#x00023;1</th>
<th valign="top" align="center">Peak &#x00023;2</th>
<th valign="top" align="center">Peak &#x00023;1</th>
<th valign="top" align="center">Peak &#x00023;2</th>
<th valign="top" align="center">Peak &#x00023;3</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Center max (nm)</td>
<td align="center" valign="top">8.9&#x02009;&#x000B1;&#x02009;0.1</td>
<td align="center" valign="top">15.5&#x02009;&#x000B1;&#x02009;0.5</td>
<td align="center" valign="top">8.2&#x02009;&#x000B1;&#x02009;0.1</td>
<td align="center" valign="top">13.2&#x02009;&#x000B1;&#x02009;0.1</td>
<td align="center" valign="top">19.0&#x02009;&#x000B1;&#x02009;0.6</td>
</tr>
<tr>
<td align="left" valign="top">Area (frequency&#x022C5;nm)</td>
<td align="center" valign="top">88&#x02009;&#x000B1;&#x02009;2</td>
<td align="center" valign="top">10&#x02009;&#x000B1;&#x02009;2</td>
<td align="center" valign="top">62&#x02009;&#x000B1;&#x02009;3</td>
<td align="center" valign="top">27&#x02009;&#x000B1;&#x02009;4</td>
<td align="center" valign="top">9&#x02009;&#x000B1;&#x02009;2</td>
</tr>
<tr>
<td align="left" valign="top">FWHM (nm)</td>
<td align="center" valign="top">6.4&#x02009;&#x000B1;&#x02009;0.2</td>
<td align="center" valign="top">5.2&#x02009;&#x000B1;&#x02009;0.9</td>
<td align="center" valign="top">4.9&#x02009;&#x000B1;&#x02009;0.2</td>
<td align="center" valign="top">4.1&#x02009;&#x000B1;&#x02009;0.5</td>
<td align="center" valign="top">5&#x02009;&#x000B1;&#x02009;1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="S2-4">
<title>Biocompatibility</title>
<p>The development of lab on chip systems and MEMS has been strongly linked to biomedical applications, becoming a major application field for these architectures. Lab on a chip systems for biomedicine should guarantee the integrity and stability of the sample under study, that being biological fluids, cells, or tissues, among others. The requirements for materials and systems applied to biomedicine are thus very strict, being biocompatibility one of the most important to be determined. Based on the latter, the biocompatibility of the proposed material was evaluated using vascular smooth muscle cells (VSMC) from rat aorta as model eukaryotic cells, considering their relevance in cardiovascular pharmacology. Figure <xref ref-type="fig" rid="F3">3</xref> shows the cell viability for M-SRE samples (from S<sub>0</sub> to S<sub>6</sub>). Viability tests were performed using the colorimetric MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) assay (Mosmann, <xref ref-type="bibr" rid="B28">1983</xref>) After pre-attachment of the VSMC in the well, M-SRE samples with a total volume of 40&#x02009;mm<sup>3</sup> were introduced in each well, and the cell viability was measured after 24&#x02009;h of incubation with the MTT.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>Measured cell viability (%) obtained from vascular smooth muscle cells using the colorimetric MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) assay when exposed to different amounts M-SRE samples (from S<sub>0</sub> to S<sub>6</sub>)</bold>. Results are expressed as the mean&#x02009;&#x000B1;&#x02009;SEM (<italic>n</italic>&#x02009;&#x0003D;&#x02009;3&#x02013;6). &#x0002A;<italic>P</italic>&#x02009;&#x0003C;&#x02009;0.05; &#x0002A;&#x0002A;&#x0002A;<italic>P</italic>&#x02009;&#x0003C;&#x02009;0.001 vs. S<sub>0</sub>.</p></caption>
<graphic xlink:href="fmech-02-00012-g003.tif"/>
</fig>
<p>Viability was determined as a percentage in relation to control samples, i.e., cells proliferation in a well without M-SRE. Between three and six replicates were done for each M-SRE for statistical validation. S<sub>0</sub>&#x02013;S<sub>4</sub> samples showed values similar to 100% viability. On the contrary, sample S<sub>5</sub> and particularly S<sub>6</sub> showed toxicity. In sample S<sub>4</sub>, the % cell viability was of 99&#x02009;&#x000B1;&#x02009;12%. This magnitude decreased until 88&#x02009;&#x000B1;&#x02009;3% for S<sub>5</sub> and 23&#x02009;&#x000B1;&#x02009;13% for S<sub>6</sub>. Therefore, it can be concluded that S<sub>0</sub>&#x02013;S<sub>4</sub> samples are suitable for biological applications.</p>
</sec>
<sec id="S2-5">
<title>Magnetization</title>
<p>Figure <xref ref-type="fig" rid="F4">4</xref> shows the experimentally measured magnetization as a function of the applied magnetic field, &#x003BC;<sub>0</sub><italic>H</italic>, for slab samples S<sub>1</sub>&#x02013;S<sub>6</sub> at 300&#x02009;K. None of them shows either coercitivity or remanence, which is indicative of their superparamagnetic behavior. Actually, this is in agreement with the superparamagnetic nature of the Fe<sub>3</sub>O<sub>4</sub> nanoparticles at room temperature (Ivaneyko et al., <xref ref-type="bibr" rid="B20">2012</xref>). On the same figure, the saturation magnetization (<italic>m</italic><sub>s</sub>) (understood as the total magnetization corresponding to an applied field of 1.2&#x02009;T) for each sample is included.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>Magnetic loops for samples S<sub>1</sub>&#x02013;S<sub>6</sub> at room temperature for different ferrofluid concentration as a function of the applied magnetic field</bold>.</p></caption>
<graphic xlink:href="fmech-02-00012-g004.tif"/>
</fig>
<p>According to the superparamagnetic theory (Cullity, <xref ref-type="bibr" rid="B8">1974</xref>), the magnetic particle size can be calculated from the true magnetic moment of each particle (&#x003BC;) using the Langevin Eq. <xref ref-type="disp-formula" rid="E1">1</xref>, which was used for fitting the magnetization curves shown in Figure <xref ref-type="fig" rid="F4">4</xref>.</p>
<p><disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>S</mml:mtext></mml:msub><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mtext>coth</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mtext>&#x003BC;</mml:mtext><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>B</mml:mtext></mml:msub><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mi>k</mml:mi><mml:mtext>B</mml:mtext></mml:msub><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mtext>&#x003BC;</mml:mtext><mml:mi>H</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>]</mml:mo></mml:mrow><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where <italic>k</italic><sub>B</sub> is the Boltzmann constant, <italic>T</italic> is the absolute temperature, <italic>m</italic><sub>S</sub> is the saturation magnetization, <italic>H</italic> is the magnetic field, and &#x003BC; is the true magnetic moment, which is defined as
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mrow><mml:mtext>&#x003BC;</mml:mtext><mml:mo>=</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mtext>S</mml:mtext></mml:msub><mml:msubsup><mml:mi mathvariant="italic">&#x003C0;D</mml:mi><mml:mtext>L</mml:mtext><mml:mn>3</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:mn>6</mml:mn></mml:mrow></mml:math></disp-formula>
being <italic>D</italic><sub>L</sub> is the magnetic particle size.</p>
<p>The obtained <italic>D</italic><sub>L</sub> values were compared with the values from TEM observations, i.e., those corresponding to the main peak &#x02013; i.e., without aggregates &#x02013; (<italic>D</italic><sub>TEM</sub>). The results are summarized in Table <xref ref-type="table" rid="T2">2</xref>. Differences between <italic>D</italic><sub>L</sub> and <italic>D</italic><sub>TEM</sub> were due to the fact that magnetic measurements did not take into account the presence of the capping MNPs layer. The particle size was recalculated including the thickness of the capping, which is <italic>a</italic><sub>0</sub>&#x02009;&#x0003D;&#x02009;0.83&#x02009;nm for magnetite (Kaiser and Miskolcz, <xref ref-type="bibr" rid="B24">1970</xref>). Introducing this correction into the Langevin function leaded to a modified magnetic particle size <inline-formula><mml:math id="M3"><mml:mrow><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>L</mml:mtext><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>&#x02009;&#x0003D;&#x02009;<italic>D</italic><sub>L</sub>&#x02009;&#x0002B;&#x02009;<italic>a</italic><sub>0</sub>. Once this aspect was considered, a good agreement was obtained then between the <inline-formula><mml:math id="M4"><mml:mrow><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>L</mml:mtext><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> value from Eq. <xref ref-type="disp-formula" rid="E2">2</xref> and the TEM measurements (Table <xref ref-type="table" rid="T2">2</xref>). On the basis of such results, it can be confirmed that the small aggregates formed in the M-SRE &#x02013; comprised of two or three MNPs &#x02013; and its homogeneous distribution in the sample do not cause a significant change of its magnetic properties, even in the samples with the highest FF concentration.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p><bold>Values of nanoparticle size obtaining from TEM study (<italic>D</italic><sub>TEM</sub>), from Eq. <xref ref-type="disp-formula" rid="E2">2</xref> (<italic>D</italic><sub>L</sub>), and by including the capping thickness <inline-formula><mml:math id="M5"><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>L</mml:mtext><mml:mo>&#x02032;</mml:mo></mml:msubsup><mml:mo stretchy='false'>)</mml:mo></mml:mrow></mml:math></inline-formula> for samples S<sub>2</sub> and S<sub>6</sub></bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left">Sample</th>
<th valign="top" align="center"><italic>D</italic><sub>L</sub> (nm)</th>
<th valign="top" align="center"><italic>D</italic><sub>TEM</sub> (nm)</th>
<th valign="top" align="center"><inline-formula><mml:math id="M6"><mml:mrow><mml:msubsup><mml:mi>D</mml:mi><mml:mtext>L</mml:mtext><mml:mo>&#x02032;</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> (nm)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">6&#x02009;&#x000B1;&#x02009;1</td>
<td align="center" valign="top">8.9&#x02009;&#x000B1;&#x02009;0.1</td>
<td align="center" valign="top">8&#x02009;&#x000B1;&#x02009;1</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>6</sub></td>
<td align="center" valign="top">4&#x02009;&#x000B1;&#x02009;1</td>
<td align="center" valign="top">8.2&#x02009;&#x000B1;&#x02009;0.1</td>
<td align="center" valign="top">6&#x02009;&#x000B1;&#x02009;1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="S2-6">
<title>Young&#x02019;s Modulus of M-SRE</title>
<p>Materials with Young&#x02019;s modulus in the order of kilopascal&#x02013;megapascal are very attractive for life science applications since they present similar stiffness as biological entities such as arteries (Rodriguez-Rodriguez et al., <xref ref-type="bibr" rid="B33">2014</xref>). In that context, since the main aim of this paper is to develop soft microsystems, it becomes crucial to experimentally measure the effect of the FF on the Young&#x02019;s modulus of the SRE. By measuring the maximum deflection (<italic>y</italic><sub>max</sub>) of the cantilevers upright and upside down, the <italic>Y</italic><sub>M-SRE</sub> was experimentally obtained by subtracting the initial offset of the cantilever and using Eq. <xref ref-type="disp-formula" rid="E3">3</xref>.</p>
<p><disp-formula id="E3"><label>(3)</label><mml:math id="M7"><mml:mrow><mml:msub><mml:mi>Y</mml:mi><mml:mrow><mml:mtext>M-SRE</mml:mtext></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>3</mml:mn><mml:msup><mml:mi mathvariant="italic">&#x003C1;gl</mml:mi><mml:mn>4</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:msub><mml:mi>y</mml:mi><mml:mrow><mml:mtext>max</mml:mtext></mml:mrow></mml:msub><mml:msup><mml:mi>h</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
where &#x003C1; is the M-SRE density, <italic>g</italic> the acceleration of the gravitational field, and <italic>l</italic> and <italic>h</italic> are the length and thickness of the cantilever, respectively.</p>
<p>Figure <xref ref-type="fig" rid="F5">5</xref> shows the experimental <italic>Y</italic><sub>M-SRE</sub> values obtained. From an initial value close to 200&#x02009;kPa for samples S<sub>0</sub>&#x02013;S<sub>2</sub>, <italic>Y</italic><sub>M-SRE</sub> rapidly increases with the FF concentration until it reaches 20.3% volume FF. The observed increase of <italic>Y</italic><sub>M-SRE</sub> is quadratic with the FF concentration for samples S<sub>1</sub>&#x02013;S<sub>5</sub>, as predicted by Bergstrom and Boyce (<xref ref-type="bibr" rid="B4">1999</xref>). Conversely, S<sub>6</sub> does not follow such tendency. The reason for this could be the above described incomplete formation of the 3D polymeric network due to the FF oversaturation, which again seems to confirm that the concentration limit for this specific FF in PDMS is obtained with S<sub>5</sub> sample.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>Dependence of the Young&#x02019;s modulus of the M-SRE (<italic>Y</italic><sub>M-SRE</sub>) as a function of the ferrofluid concentration in the PDMS</bold>. An increase of <italic>Y</italic><sub>M-SRE</sub> is observed until it reaches the maximum value corresponding to 20.3%, beyond which a drop of <italic>Y</italic><sub>M-SRE</sub> is observed.</p></caption>
<graphic xlink:href="fmech-02-00012-g005.tif"/>
</fig>
<p>As compared to the previously published results, the values here obtained are similar to those provided by the manufacturer datasheet (<italic>Y</italic><sub>PDMS</sub>&#x02009;&#x0003D;&#x02009;300&#x02013;800&#x02009;kPa), even though other researchers have shown that <italic>Y</italic><sub>PDMS</sub> can be in the range of the megapascal (Johnston et al., <xref ref-type="bibr" rid="B22">2014</xref>). As a rule, it has been demonstrated that <italic>Y</italic><sub>PDMS</sub> strongly varies on both the curing agent/base elastomer ratio, temperature, baking time, and baking conditions (Fuard et al., <xref ref-type="bibr" rid="B14">2008</xref>; Johnston et al., <xref ref-type="bibr" rid="B22">2014</xref>). Specifically, in Brau et al. (<xref ref-type="bibr" rid="B5">2011</xref>) and Terwagne et al. (<xref ref-type="bibr" rid="B42">2014</xref>), the Young&#x02019;s modulus of PDMS is shown to vary between 10 and 1,000&#x02009;kPa depending of the aforementioned technological conditions. In that sense, the values obtained here are in agreement with those previously published.</p>
</sec>
<sec id="S2-7">
<title>Transmittance in the VIS&#x02013;NIR</title>
<p>The optical properties of a polymeric matrix may strongly vary when an additive is included. When synthetizing the M-SRE, not only the particle size, distribution, shape, or capping of the FF but also the optical and chemical properties of the liquid carrier may potentially modify the optical transmittance of the M-SRE. This change is crucial if the idea is to use this material for defining magnetically actuable elements to be implemented in photonic lab on a chip systems (PhLoC) (Vila-Planas et al., <xref ref-type="bibr" rid="B43">2011</xref>), for example, valves or pumps, where the whole spectral response of a given analyte is acquired in real time. Before such integration can be even considered, it becomes necessary to determine the effect of the FF concentration on the PDMS transmittance. Results presented in Figure <xref ref-type="fig" rid="F6">6</xref> shows the transmittance for slab samples S<sub>0</sub> to S<sub>6</sub> in a wavelength range between 400 and 900&#x02009;nm. In all cases, a propagation distance of the light in material of 250&#x02009;&#x003BC;m has been used. As expected, the increase of the FF concentration resulted in a sharp decrease of the transmittance due to scattering centers and specific optical absorption from FF. Samples S<sub>1</sub>&#x02013;S<sub>2</sub> presented minimum transmittance (at a wavelength of 400&#x02009;nm) of 59 and 46%, respectively. Therefore, these M-SRE can be considered suitable for developing PhLoC with magnetic actuation. Sample S<sub>3</sub> has a transmittance at the same wavelength of 30%, which may still be valid for PhLoC with short optical paths. Finally, samples with larger FF concentration (S<sub>4</sub>&#x02013;S<sub>6</sub>) can be considered as opaque in the VIS&#x02013;NIR range and, even though they will have a higher displacement upon magnetic actuation, they cannot be considered as valid M-SRE to implement PhLoCs or, more generally to develop elastomer-based systems where visual inspection or optical detection is required.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p><bold>Transmittance as a function of wavelength for slab samples with a thickness of 250&#x02009;&#x003BC;m of PDMS (S<sub>0</sub>) and the M-SREs (S<sub>1</sub>&#x02013;S<sub>6</sub>)</bold>.</p></caption>
<graphic xlink:href="fmech-02-00012-g006.tif"/>
</fig>
</sec>
<sec id="S2-8">
<title>Characterization of the Soft Microsystems Fabricated with the M-SRE</title>
<p>Once the M-SRE was characterized, the next step was to show the applicability of this material. Specifically, six different soft microsystems were fabricated &#x02013; one for each FF concentration&#x02009;&#x02013; and showed deflection in the order of hundreds of micrometer when an external magnetic field is applied. Figure <xref ref-type="fig" rid="F7">7</xref> presents a cantilever fabricated with sample S<sub>4</sub> showing no actuation for weak applied magnetic fields (Figure <xref ref-type="fig" rid="F7">7</xref>A) and large displacements when larger magnetic fields are applied (Figure <xref ref-type="fig" rid="F7">7</xref>B).</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p><bold>Cantilever defined with sample S<sub>4</sub> positioned over a permanent magnet, showing (A) no deflection for weak magnetic fields (i.e., more than 3&#x02009;cm between the cantilever and the permanent magnet) and (B) deflection under comparatively larger magnetic fields</bold>.</p></caption>
<graphic xlink:href="fmech-02-00012-g007.tif"/>
</fig>
<p>Quantification of this deflection as a function of the applied magnetic field was measured, and it is shown in Figure <xref ref-type="fig" rid="F8">8</xref>. As it can be seen, deflection of the soft microsystem shows the expected increase in magnitude with &#x003BC;<sub>0</sub><italic>H</italic> for all M-SREs under study. For a specific deflection target, higher &#x003BC;<sub>0</sub><italic>H</italic> is required for samples with low FF concentration. As an example, for reaching a deflection of 500&#x02009;&#x003BC;m, an applied magnetic field of 0.33&#x02009;T is needed for S<sub>1</sub>, whereas it can be decreased to 0.2&#x02009;T for S<sub>5</sub>. Finally, the mechanical sensitivity of the M-SRE with larger FF content is the highest. This means that larger deflections can be obtained but, equally important, small changes of this applied magnetic field will cause very significant variances in the resulting deflection. Therefore, for robust microsystems similar to these here presented, the optimal alternative is the S<sub>3</sub> material, where the deflection can accurately be controlled with the applied magnetic field. Microsystems done with S<sub>4</sub> and S<sub>5</sub> are still valid for ON/OFF actuation, such as microvalves. For quantitative actuation, they could be used by making the microsystems stiffer, i.e., increase the thickness or decrease its length.</p>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p><bold>Measured deflections as a function of the magnetic actuation for cantilevers fabricated with M-SREs S<sub>1</sub>&#x02013;S<sub>6</sub></bold>.</p></caption>
<graphic xlink:href="fmech-02-00012-g008.tif"/>
</fig>
<p>To summarize, the different studied properties of the here discussed M-SRE in view of their application to implement magnetic soft microsystem are shown in Table <xref ref-type="table" rid="T3">3</xref>. The selection of the given FF concentration strongly depends on the application. Low FF content materials (S<sub>1</sub>&#x02013;S<sub>2</sub>) are suitable for photonic and biological applications (higher optical transmittance and biocompatibility) even when the required applied magnetic field so as to achieve actuation is the highest. S<sub>4</sub> and S<sub>5</sub> are opaque materials that present a significant increase of its Young&#x02019;s modulus. The high FF concentration allows the largest deflection for relatively small applied magnetic fields, and therefore they are may be suitable for ON/OFF applications. A strategy if strong magnetic actuation is required in combination with photonics readout is to define the system in such a way that S<sub>4</sub> or S<sub>5</sub> M-SRE are only defined in specific regions (de Pedro et al., <xref ref-type="bibr" rid="B11">2014</xref>), while the rest of the PhLoC is defined using S<sub>0</sub> (non-doped). In this approach, the advantages of both the types of materials could be merged in a single system, thus improving its performance. Measurements done with material S<sub>6</sub> seem to be indicative that the polymeric 3D cross-linking is distorted due to FF oversaturation. Finally, S<sub>3</sub> can be considered to be the optimal material, where biocompatibility, low <italic>Y</italic><sub>M-SRE</sub>, acceptable transmittance (for short optical paths) and, when used for microsystems, robust and controllable deflections, is achieved.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p><bold>Summary of the parameters obtained in the characterization of M-SRE</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="center" rowspan="2"/>
<th valign="top" align="center" rowspan="2">% FF</th>
<th valign="top" align="center" rowspan="2">% W Fe<sub>3</sub>O<sub>4</sub></th>
<th valign="top" align="center" rowspan="2"><italic>Y</italic><sub>M-SRE</sub> (kPa)</th>
<th valign="top" align="center" rowspan="2">Curing time (min)</th>
<th valign="top" align="center" colspan="2">Transmittance (%)<hr/></th>
<th valign="top" align="center" rowspan="2"><italic>m</italic><sub>s</sub> (emu/g)</th>
<th valign="top" align="center" rowspan="2">Bioc.</th>
</tr>
<tr>
<th valign="top" align="center">&#x00040; 633&#x02009;nm</th>
<th valign="top" align="center">&#x00040; 400&#x02009;nm</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">S<sub>0</sub></td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">200</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">90</td>
<td align="center" valign="top">90</td>
<td align="center" valign="top">0</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>1</sub></td>
<td align="center" valign="top">1.7</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">180&#x02009;&#x000B1;&#x02009;30</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">69</td>
<td align="center" valign="top">64</td>
<td align="center" valign="top">0.3&#x02009;&#x000B1;&#x02009;0.2</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>2</sub></td>
<td align="center" valign="top">3.5</td>
<td align="center" valign="top">0.4</td>
<td align="center" valign="top">210&#x02009;&#x000B1;&#x02009;15</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">63</td>
<td align="center" valign="top">50</td>
<td align="center" valign="top">0.620&#x02009;&#x000B1;&#x02009;0.005</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>3</sub></td>
<td align="center" valign="top">9.8</td>
<td align="center" valign="top">1.1</td>
<td align="center" valign="top">400&#x02009;&#x000B1;&#x02009;10</td>
<td align="center" valign="top">20</td>
<td align="center" valign="top">47</td>
<td align="center" valign="top">32</td>
<td align="center" valign="top">1.51&#x02009;&#x000B1;&#x02009;0.01</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>4</sub></td>
<td align="center" valign="top">15.4</td>
<td align="center" valign="top">1.7</td>
<td align="center" valign="top">500&#x02009;&#x000B1;&#x02009;60</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">12</td>
<td align="center" valign="top">4.6</td>
<td align="center" valign="top">2.543&#x02009;&#x000B1;&#x02009;0.005</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>5</sub></td>
<td align="center" valign="top">20.3</td>
<td align="center" valign="top">2.3</td>
<td align="center" valign="top">1,000&#x02009;&#x000B1;&#x02009;30</td>
<td align="center" valign="top">25</td>
<td align="center" valign="top">0.9</td>
<td align="center" valign="top">0.1</td>
<td align="center" valign="top">3.231&#x02009;&#x000B1;&#x02009;0.006</td>
<td align="center" valign="top">Yes</td>
</tr>
<tr>
<td align="left" valign="top">S<sub>6</sub></td>
<td align="center" valign="top">24.6</td>
<td align="center" valign="top">2.8</td>
<td align="center" valign="top">300&#x02009;&#x000B1;&#x02009;190</td>
<td align="center" valign="top">35</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">0.2</td>
<td align="center" valign="top">3.668&#x02009;&#x000B1;&#x02009;0.005</td>
<td align="center" valign="top">No</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="S3">
<title>Conclusion</title>
<p>A study of the M-SREs obtained by incorporating different concentrations of FF based on Fe<sub>3</sub>O<sub>4</sub> nanoparticles into a PDMS matrix has been presented, as well as its applicability to implement magnetic soft microsystems. Particle size distributions in the M-SRE have been studied using TEM. Histograms have shown that, even for the highest concentration of FF (24.6%, corresponding to 2.8% weight of Fe<sub>3</sub>O<sub>4</sub>), the main peak corresponds to single nanoparticles, with size of 8.2&#x02009;&#x000B1;&#x02009;0.1&#x02009;nm. This value is in agreement with the magnetic study of the M-SRE. Additionally, the magnetization as a function of the applied magnetic field for samples S<sub>1</sub>&#x02013;S<sub>6</sub> shows neither coercitivity nor remanence, in agreement with the superparamagnetic nature of the used FF. The study of the transmittance in the visible range as a function of the FF concentration has shown three different categories: S<sub>1</sub> and S<sub>2</sub> have transmittance higher than 50%. S<sub>3</sub>, with a transparency of 32%, could still be valid for applications having short optical paths. Finally, samples S<sub>4</sub>&#x02013;S<sub>6</sub> are optically opaque. From a mechanical point of view, the <italic>Y</italic><sub>M-SRE</sub> shows the expected quadratic dependence on the FF concentration, except for the drastic decrease at the highest FF concentration, which has been associated to incomplete 3D polymer cross-link. Biocompatibility tests have shown that the M-SRE presented in this work are biocompatible in most of the samples, and only those with a highest FF concentration presents cytotoxicity. As applicability demonstrator, soft microsystems have been fabricated with these M-SRE using soft lithography, obtaining deflections of hundreds of micrometers as a function of &#x003BC;<sub>0</sub><italic>H</italic> and of the specific FF concentration.</p>
</sec>
<sec id="S4">
<title>Experimental Section</title>
<sec id="S4-1">
<title>Reagents</title>
<p>The negative-tone epoxy-based polymer SU-8 50 and its developer propylene glycol methyl ether acetate (PGMEA) (both from MicroChem, Corp., USA) were used following the datasheet specifications. PDMS elastomer (Sylgard Silicon Elastomer 184, Dow Corning Corp., USA) was prepared in accordance to the datasheet. FF was used as provided by the manufacturer (Liquids Research Limited, North Wales). The FF presents a uniform size distribution and low Fe<sub>3</sub>O<sub>4</sub> particle agglomeration (&#x0003C;20&#x02009;nm) dispersed into isoparafin with 10&#x02009;nm as the mean particle diameter and a saturation magnetization of 400&#x02009;G.</p>
</sec>
<sec id="S4-2">
<title>Synthesis of Magnetic Stimuli-Responsive Elastomer (M-SRE)</title>
<p>M-SRE was synthesized by mixing PDMS and FF. First, the PDMS pre-polymer was obtained in a 1:10 (v:v) curing agent/base elastomer as available from the manufacturer. Just afterward, different FF volumes were included (0; 1.7; 3.5; 9.8; 15.4; 20.3; and 24.6% in volume) and manually stirred until homogeneous dispersion is achieved. This mixture was then degassed to remove air bubbles. The resulting M-SREs were labeled as S<italic><sub>i</sub></italic> (<italic>i</italic>&#x02009;&#x0003D;&#x02009;0, 1, &#x02026;, 6; corresponding to the increasing FF concentrations).</p>
</sec>
<sec id="S4-3">
<title>Fabrication</title>
<p>The slab samples, cantilevers, and soft microsystems were fabricated with soft lithography technology (Vila-Planas et al., <xref ref-type="bibr" rid="B43">2011</xref>). The process started using a soda&#x02013;lime wafer with a thickness of 700&#x02009;&#x003BC;m, onto which a 250&#x02009;&#x003BC;m SU-8 50 layer was spun. After 3-h baking at 95&#x000B0;C, the wafer was exposed to UV light with a dose of 350&#x02009;mJ/cm<sup>2</sup> using the appropriate mask. The post exposure bake for 20&#x02009;min at 95&#x000B0;C and the development using PGMEA finished the master fabrication. M-SRE pre-polymer obtained as above mentioned was poured onto the SU-8 master, avoiding overflow. A second degasification was done so as to remove air bubbles that may be trapped in the microstructures. Then, they were baked for completing polymerization. Just afterward, the slab samples, cantilevers, and soft microsystems, having a thickness of 250&#x02009;&#x003BC;m, were peeled off from the master with the help of a tweezer and positioned over a glass substrate for handling easiness.</p>
</sec>
<sec id="S4-4">
<title>Structural Analysis</title>
<p>Structural homogeneity was determined using images from TEM, which were obtained by the system JEOL 2011, Jeol Ltd., USA. The distribution and size of the Fe<sub>3</sub>O<sub>4</sub> nanoparticles included in the M-SRE was analyzed. From these images, 10 fields containing each of them between 20 and 100 MNP depending on the sample were analyzed by image software (ImageJ, USA).</p>
</sec>
<sec id="S4-5">
<title>Biocompatibility</title>
<p>Polydimethylsiloxane is known to be a compatible material with low or no toxicity (Wu et al., <xref ref-type="bibr" rid="B46">2010</xref>), making it suitable to be used with samples of biological origin (cells, enzymes, bacteria, etc.). The study of biocompatibility of the developed M-SRE was carried out for verifying whether the inclusion of FF in the PDMS altered the toxicity of the polymeric matrix. Here, samples from S<sub>0</sub> to S<sub>6</sub> were subjected to cytotoxicity study. The cytotoxicity was determined using VSMC cultured from rat aorta in combination with the magnetic samples (introduced into the wells where the experiment was conducted) by using the colorimetric MTT (3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) assay (Mosmann, <xref ref-type="bibr" rid="B28">1983</xref>). This technique is based on the ability of viable cells to transform the MTT salt into formazan dyes. After a 24-h VSMC incubation period, wells were washed with phosphate-buffered solution, and the MTT solution (1&#x02009;mg/ml) was added and incubated for 4&#x02009;h. The purple formazan generated by viable cells was solubilized with 20% sodium dodecyl sulfate in 0.02&#x02009;M HCl and incubated for 10&#x02009;h at 37&#x000B0;C. The optical density of each well was determined at 540&#x02009;nm in a microplate spectrophotometer reader (BioTek<sup>&#x000AE;</sup> Synergy HT). Cell viability was expressed as percentage in relation to controls (non-treated cells).</p>
</sec>
<sec id="S4-6">
<title>Magnetization</title>
<p>In order to determine the magnetic properties of the M-SREs, a vibrating sample magnetometer (VSM) (ADE model 10 VSM Oxford Instruments, UK) was used for obtaining the magnetization of the slab samples S<sub>1</sub>&#x02013;S<sub>6</sub> at 300&#x02009;K. Moreover, from this study the nanoparticle size was determined and compared with the results obtained from TEM.</p>
<p>Cantilevers and soft microsystem were fabricated using samples S<sub>1</sub>&#x02013;S<sub>6</sub>. These structures were magnetically characterized by placing them on a positioning stage over a permanent magnet (0.45&#x02009;T nominal value). This magnet was located on a vertical stage (AHT-65 PI MICOS, Eschbach, Germany); thereby, it was possible to change the applied magnetic field (&#x003BC;<sub>0</sub><italic>H</italic>) to the microsystem by changing the relative distance. The deflection was captured with a CCD camera (Imaging Pixelfly, 205 X2 1475, Germany) in plane, orthogonal to the microsystem.</p>
</sec>
<sec id="S4-7">
<title>Young&#x02019;s Modulus of M-SRE</title>
<p>The M-SRE Young&#x02019;s modulus (<italic>Y</italic><sub>M-SRE</sub>) for different FF concentrations was calculated by experimentally recording the deflection of cantilevers under the action of the gravity by using a confocal microscope (PL&#x003BC; 2300 Optical Imaging Profiler, Sensofar, Spain) with software (PL&#x003BC; Confocal Imaging Profiler, Sensofar, Spain).</p>
</sec>
<sec id="S4-8">
<title>Transmittance in the VIS&#x02013;NIR</title>
<p>The spectral response as a function of the FF concentration was studied by coupling a broadband light source (HL-2000, Ocean Optics, USA) to a multimode fiber optic (Thorlabs, Dachau, Germany) with a core diameter of 125&#x02009;&#x003BC;m. Light emerging from this fiber was orthogonally coupled to each slab sample (with an identical optical path of 250&#x02009;&#x003BC;m in all cases). A second fiber optics with a core diameter of 230&#x02009;&#x003BC;m was used to collect light emerging from the M-SRE, which was directly connected to a spectrometer (HR 4000, Ocean Optics, USA). Ten consecutive scans (each of which requiring an integration time of 100&#x02009;ms) were done for statistics. A non-doped slab sample was used as reference.</p>
</sec>
</sec>
<sec id="S5" sec-type="author-contributor">
<title>Author Contributions</title>
<p>SP did the fabrication and most of the characterization. XM-B performed the structural analysis and helped with the biocompatibility tests. RR-R did the biocompatibility experiments. JS conducted all the magnetic characterization. JP analyzed and verified all the mechanical characterization. JB, AL, and VC designed the work, supervised the results, and monitored the writing.</p>
</sec>
<sec id="S6">
<title>Conflict of Interest Statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</body>
<back>
<sec id="S7">
<title>Funding</title>
<p>The research leading to these results has received funding from the European Research Council under the European Community&#x02019;s Seventh Framework Programme (FP7/2007-2013) ERC grant agreement no. 209243. Partial financial support from the 2014SGR-1015 (DGU) is acknowledged. Dr. XM-B was supported by the &#x0201C;Ram&#x000F3;n y Cajal&#x0201D; program from the Spanish Government. MINAHE4:TEC2011-29140-C03-01.</p>
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