Abstract
The development of three-dimensional (3D) synthetic biomaterials as structural and bioactive scaffolds is central to fields ranging from cellular biophysics to regenerative medicine. As of yet, these scaffolds cannot electrically probe the physicochemical and biological micro-environments throughout their 3D and macroporous interior, although this capability could have a marked impact in both electronics and biomaterials. Here, we address this challenge using macroporous, flexible and free-standing nanowire nanoelectronic scaffolds (nanoES), and their hybrids with synthetic or natural biomaterials. 3D macroporous nanoES mimic the structure of natural tissue scaffolds, and they were formed by self-organization of coplanar reticular networks with built-in strain and by manipulation of 2D mesh matrices. NanoES exhibited robust electronic properties and have been used alone or combined with other biomaterials as biocompatible extracellular scaffolds for 3D culture of neurons, cardiomyocytes and smooth muscle cells. Additionally, we show the integrated sensory capability of the nanoES by real-time monitoring of (i) the local electrical activity within 3D nanoES/cardiomyocyte constructs, (ii) the response of 3D nanoES based neural and cardiac tissue models to drugs, and (iii) distinct pH changes inside and outside tubular vascular smooth muscle constructs.
The design and functionalization of porous materials has been actively pursued to enable new material properties and applications1-3. In particular, the development of synthetic 3D macroporous biomaterials as extracellular matrices (ECMs) represents a key area because (i) functionalized 3D biomaterials allow for studies of cell/tissue development in the presence of spatiotemporal biochemical stimulants3-6, and (ii) the understanding of pharmacological response of cells within synthetic tissues is expected to provide a more robust link to in vivo disease treatment than that from 2D cell cultures6-8. Advancing further such biomaterials requires capabilities for monitoring cells throughout the 3D microenvironment6. While electrical sensors are attractive tools, it has not been possible to integrate such elements with porous 3D scaffolds for localized real-time monitoring of cellular activities and physicochemical change, although such capability could lead to new lab-on-a-chip pharmacological platforms9,10 and hybrid 3D electronics-tissue materials for synthetic biology11,12.
Recently, there have been several reports describing the coupling of electronics and tissues using flexible and/or stretchable planar devices13-17 that conform to natural tissue surfaces. These planar devices have been used to probe electrical activities near surfaces of the heart13-15, brain16 and skin17. To date, seamless 3D integration of electronics with biomaterials and synthetic tissues has not been achieved. Key points that must be addressed to achieve this goal include: (1) The electronic structures must be macroporous, not planar, to enable 3D interpenetration with biomaterials; (2) the electronic network should have nanometer to micrometer scale features comparable to biomaterial scaffolds; and (3) the electronic network must have 3D interconnectivity and mechanical properties similar to biomaterials.
Here we introduce a conceptually new approach that meets this challenge by integrating nanoelectronics throughout biomaterials and synthetic tissues in 3D using macroporous nanoelectronic scaffolds. We use silicon nanowire field effect transistor (FET)-based nanoelectronic biomaterials, given their capability for recording both extracellular and intracellular signals with subcellular resolution18-21. FET detectors respond to variations in potential at the surface of the transistor channel region, and they are typically called active detectors21. Metal-electrode 22,23 or carbon nanotube/nanofiber24,25 based passive detectors are not considered in our work because impedance limitations (i.e., signal/noise and temporal resolution degrade as the area of the metal or carbon electrodes is decreased) make it difficult to reduce the size of individual electrodes to the subcellular level21-23, a size regime necessary to achieve noninvasive 3D interface of electronics with cells in tissue.
Our approach (Fig. 1) involved stepwise incorporation of biomimetic and biological elements into nanoelectronic networks across nanometer to centimeter size scales. First, chemically synthesized kinked18 or uniform silicon nanowires were deposited either randomly or in regular patterns for single nanowire FETs -- the nanoelectronic sensor elements of the hybrid biomaterials (step A, Fig. 1). Second, individual nanowire FET devices were lithographically patterned and integrated into free-standing macroporous scaffolds (step B, Fig. 1), the nanoES. The nanoES were designed to mimic ECM structures, and specifically, to be 3D, to have nanometer to micrometer features with high (>99 %) porosity, and to be highly flexible and biocompatible. NanoES were then combined with synthetic or natural macroporous ECMs providing (i) ECMs with electrical sensory function and (ii) nanoES with biochemical environments suitable for tissue culture. Finally, cells were cultured within the nanoES (step C, Fig. 1) to yield 3D hybrid nanoelectronics-tissue constructs. The emphasis on a nanoscale and biomimetic bottom-up pathway allows minimally invasive integration of electronic devices with cells and ECM components at the subcellular level in 3D. The nanoES are distinct from conventional 2D multi-electrode arrays (MEA) 23, carbon nanotube/nanofiber arrays24,25, implantable microelectrodes23 and flexible/stretchable electrodes13-17 in that the sensors are nanoscale semiconductors, and critically, that the sensor network is flexible, macroporous and 3D. As a result, nanoES are suitable for 3D cell cultures that are known to resemble the structure, function, or physiology of living tissues.
We have designed two nanoES (Fig. 2a) that are free-standing, flexible and contain similar components. Both were fabricated on sacrificial layers, which were subsequently removed, yielding free-standing nanoES (Methods and Supplementary Information text, Figs. S1 & S2). In brief, a layer of negative resist (SU-8) was coated on a nickel sacrificial layer, a solution with kinked or straight nanowires was deposited onto the SU-8 layer and allowed to evporate, then, SU-8 was patterned by lithography to immobilize nanowires and to provide the basic framework for nanoES. Extra nanowires were washed away during the development process of the SU-8 structure. Metal contacts were patterned by lithography and deposition. Finally, a layer of SU-8 was deposited and lithographically-defined as the upper passivation on the interconnects.
Reticular nanoES were made by electron beam lithography. Self-organization (i.e., folding according to the predefined layout of bending elements) created a random or regular network of 3D features that mimic the size scale and morphology of submicron ECM features, like the fibrous meshwork of brain ECM26. Open mesh nanoES were made by photolithography with a regular structure, like the ECM of the ventricular myocardium27,28. 3D scaffolds were then realized in a straightforward manner by directed mesh manipulation. The planar design and initial fabrication of these 3D nanoES leverage existing capabilities developed for conventional planar nanoeletronics, and could enable integration of additional device components (e.g., memories and logic gates)29,30 and substantial increases in device number and overall scaffold size.
The 2D structure of the reticular scaffold was designed so that metal interconnects were stressed18,31. Removal of the sacrificial layer prompted self-organization into 3D. Reconstructed 3D confocal fluorescence images of typical reticular scaffolds viewed along y- and x- axes (Fig. 2b, I and II respectively) showed that the framework was 3D with a highly curvilinear and interconnected structure. The porosity (calculated from the initial planar device design and the final 3D construct volume) was > 99.8 %, comparable to that of hydrogel biomaterials6-8. Nanowire FET devices (Fig. 2b, II) within the scaffold spanned separations of 7.3 to 324 μm in 3D (Supplementary Fig. S3), and the reticular scaffold heights were less than ~ 300 μm for our current fabrication conditions. Devices can be made closer together (e.g. < 0.5 μm) by depositing denser nanowires on the substrate30 to improve spatial resolution of nanoelectronic sensors; the span of device separations and scaffold heights can be increased substantially using larger field lithography (see below).
Scanning electron microscopy (SEM) of the reticular nanoES (Fig. 2c) revealed kinked nanowires (ca. 80 nm diameter), and metallic interconnects (ca. 0.7 μm width) contained within the SU-8 backbone (ca. 1 μm width). The feature sizes are comparable to those of synthetic and natural ECMs3,8, and are several orders of magnitude smaller than those for electronic structures23 penetrating tissue in 3D. The performance of devices was evaluated through water-gate measurements for the nanowire FET elements in the 3D scaffolds in aqueous medium (Supplementary Information text). The results show device yields (~80 %), conductances (1.52 ± 0.61 μS; mean ± SD) and sensitivities (8.07 ± 2.92 μS/V), comparable to measurements from planar devices using similar nanowires18.
3D mesh nanoES were realized by folding and rolling free-standing device arrays. Mesh structures (Fig. 2a, II) were fabricated such that the nanoES maintained an approximately planar configuration following relief from the substrate. A typical 3.5 cm × 1.5 cm × ~ 2 μm mesh nanoES, was ca. planar with 60 nanowire FET devices in regular array with a 2D open porosity of 75 % (Fig. 2d). This mesh porosity is comparable to that of honeycomb-like synthetic ECM engineered for cardiac tissue culture28. In addition, the nanowires (Fig. 2d, 1), metal interconnects (Fig. 2d, 2), and SU-8 structural elements (Fig. 2d, 3) had an areal mass density of < 60 μg/cm2, the lowest value reported so far for flexible electronics, which reflects our macroporous architecture. The mesh nanoES was flexible and can be manually rolled into tubular constructs with inner diameters at least as small as 1.5 mm (Fig. 2e), and folded. Macroporous structures of the open mesh nanoES were formed either by loosely stacking adjacent mesh layers (Fig. 2f) or by shaping it with other biomaterials (Fig. 4, Supplementary Information text). These capabilities were consistent with the estimated ultralow effective bending stiffness (Supplementary Information text), which was tuned between 0.006 – 1.3 nN·m for this mesh and is comparable to recent planar epidermal electronics17.
The electrical transport characteristics of the mesh nanoES were evaluated in phosphate buffered saline (PBS). The typical device yield is 90-97 %, with average device conductance ~ 3μS and sensitivity ~ 7 μS/V (Fig. 2g). Representative conductance (G) data (Fig 2h) from single nanowire FET (Fig. 2h, yellow dots, upper panel) during the rolling process showed a < 0.17 μS conductance change (ΔG) or < 2.3% total change for 6 revolutions. Device sensitivity (S) remained stable with a maximum change (ΔS) of 0.031 μS/V, or 1.5% variation. The stable performance during rolling can be explained by the low estimated strains of metal (<0.005%) and SU-8 (<0.27%) in this tubular construct (Supplementary Information text), and showed that the properties were ca. independent of location. Furthermore, 14 devices evenly distributed on 6 layers of a rolled-up scaffold (Fig. 2i) showed maximum differences of ΔG = 6.8 and ΔS = 6.9% versus the unrolled state, demonstrating device robustness. Repetitive rolling and relaxation to the flat state did not degrade nanowire FET performance. These findings suggest potential for reliable sensing/recording of dynamic and deformable systems.
We have carried out simulations of a subunit of the self-organizing reticular structure (Fig 3a-c). Measurements of bending for the corresponding experimental structures (Fig. 3c, open red squares) are consistent with the simulation (Fig 3c). Additionally, changes in structural parameters (e.g., total length of subunit and thicknesses of SU-8 or metals) yield predictable changes in the bending angle of the subunit (Supplementary Fig. S4). In this way, ordered 3D nanowire FET arrays can be designed and fabricated using reticular- or mesh-like structures that incorporate multi-layer metal interconnects with built-in stress to self-organize (roll-up) the scaffold (Supplementary Fig. S4). Finally, we have designed reticular domains in mesh-like structures (Fig. 3d). Images of reticular domains (Figs. 3e, f) show that regular nanowire FET devices with distinct device positions can be realized by varying the structural parameters of individual elements. Overall, this approach yields hierarchical 3D nanoES with sub-micrometer to micrometer scale control in reticular domains and millimeter to centimeter scale in the mesh matrix by folding or rolling as shown above (Fig. 2).
The reticular and mesh nanoES also were merged with conventional macroporous biomaterials. Specifically, gel casting, lyophilization and electrospinning were used to deposit and construct macroporous collagen (Fig. 4a), alginate (Fig. 4b), and poly(lactic-co-glycolic acid) (PLGA) (Fig. 4c), respectively, around nanoES. A confocal fluorescence microscopy image of a hybrid reticular nanoES/collagen scaffold (Fig. 4a) shows clearly that the collagen nanofibers (green) are fully entangled with the nanoES, with no evidence of phase separation. Scanning electron microscopy (SEM) images of the open mesh nanoES/alginate hybrid scaffold produced by lyophilization (Fig. 3b) show that the flexible nanoES mesh is intimately anchored to the alginate framework, which has a similar pore structure as the pure alginate scaffold prepared under similar conditions. Finally, optical microscopy images of a multilayered mesh nanoES/PLGA scaffold (Fig. 3c), which was prepared by electrospinning PLGA fibers on both sides of the nanoES and subsequent folding of the hybrid structure, highlights the intimate contact between nanoES mesh and PLGA fibers. The hybrid nanoES/biomaterial 3D scaffolds retain the original nanowire FET device characteristics. For example, measurements in 1×PBS solution showed that ΔG/G and ΔS/S were less than ± 9 % for mesh nanoES/PLGA composite versus bare nanoES. Hybrid nanoES were stable under cell culture conditions. For example, nanowire FET devices in the hybrid reticular nanoES/Matrigel™ scaffold in neuron culture media (Fig. 4d) had ΔS/S < ± 11% over a 9 week period, suggesting a capability for long-term culture and monitoring with the nanoES. These results show that nanoES can be combined with conventional biomaterials to produce hybrid scaffolds that now provide nanoscale electrical sensory components distributed in 3D.
The hybrid nanoES were evaluated in 3D culture32,33 for several cell types. Embryonic rat hippocampal neurons were cultured in the reticular nanoES/Matrigel™ for 7-21 days (Supplementary Information text; Supplementary Fig. S5). Reconstructed 3D confocal microscopy images from a 2-week culture (Figs. 5a and 5b, Supplementary Fig. S6) showed neurons with a high density of spatially interconnected neurites that penetrated the reticular nanoES (Fig. 5a), often passing through the ring structures supporting individual nanowire FETs (Fig. 5b, and Supplementary Fig. S6). Notably, the widths of the scaffold elements (passivated metal interconnects and structural ribbons) were similar to those of the neurite projections, demonstrating the combination of electronics with biological systems at an unprecedented similarity in scale. 3D nanoelectronic cardiac culture was achieved from hybrid mesh nanoES/PLGA scaffolds (Supplementary Information text, Supplementary Figs S7-9). Confocal fluorescence microscopy of a cardiac 3D culture (Fig. 5c) revealed a high density of cardiomyocytes in close contact with nanoES components. Epi-fluorescence images of cardiac cells on the surface of the nanoES cardiac patch showed striations characteristic of cardiac tissue28,32 (Fig. 5d; Supplementary Figs. S8 and S9). In addition, the in vitro cytotoxicity of nanoES in 3D neural and cardiac culture was evaluated (Figs. 5e and 5f). Differences between hippocampal neurons in reticular nanoES/Matrigel™ versus Matrigel™ over 21 days, assessed with a standard live/dead cell assay33 (Fig. 5e), and between cardiac cells in hybrid mesh nanoES/Matrigel™/PLGA and Matrigel™/PLGA from 2 to 12 days, measured with a metabolic activity assay (Fig. 5f) were minimal. These studies show that on 2-3 week time scale, the nanoES component of the scaffolds has little effect on cell viability, and thus can be exploited for a number of in vitro studies, including drug screening assays with these synthetic neural and cardiac tissues. Extended studies will be needed to evaluate the nanoES for longer-term implants, although the major component of nanoES, SU-8, has demonstrated long-term chronic biocompatibility suitable for in vivo recording34,35.
The monitoring capabilities of the nanoES were first demonstrated in a 3D cardiomyocyte mesh construct (Fig. 5g). Output recorded from a single nanowire FET (Fig. 5g) ~ 200 μm below the construct surface showed regularly spaced spikes with a frequency of ~ 1 Hz, a calibrated potential change of ~ 2 to 3 mV, a S/N ratio ≥ 3, and ~ 2 ms width. The peak amplitude, shape, and width are consistent with extracellular recordings from cardiomyocytes20. The potential of the nanoES based 3D cardiac culture to monitor appropriate pharmacological response was investigated by dosing the 3D cardiomyocyte mesh construct with norepinephrine, a drug that stimulates cardiac contraction via β1-adrenergic receptors36. Measurements from the same nanowire FET device showed a 2× increase in contraction frequency following drug application. Interestingly, recording from two nanowire FETs from the cardiac patch upon norepinephrine application showed sub-millisecond and millisecond level, heterogeneous cellular responses to the drug (Supplementary Fig. S10). Additionally, multiplexing measurements made with a reticular nanoES/neural construct (Supplementary Fig. S11) showed that the 3D response of glutamate activation could be monitored. Together these experiments suggest nanoES constructs can monitor in-vitro the response to drugs from 3D tissue models, and thus have potential as a platform for in-vitro pharmacological studies9,10. Last, simultaneous recordings from 4 nanowire FETs with separations up to 6.8 mm in a nanoES/cardiac construct (Fig. 5f) demonstrated multiplexed sensing of a coherently beating cardiac patch, with sub-millisecond time resolution. Our current device design yields relatively sparse device distribution with 60 devices over a ca. 3.5 × 1.5 cm2 area. Increases in nanowire FET density, the use of cross-bar circuits and implementing multiplexing/demultiplexing for addressing30, could allow the nanoES scaffolds to map cardiac and other synthetic tissue electrical activities over the entire constructs at high-density in 3D.
We have also extended our approach towards development of artificial tissue with embedded nanoelectronic sensory capabilities. Specifically, vascular nanoES constructs were prepared by processes analogous to those used for tissue engineered autologous blood vessels37,38 except the addition of the nanoES (Fig. 6a; Supplementary Fig. S12). Human aortic smooth muscle cells (HASMCs) were cultured on 2D mesh nanoES with sodium ascorbate to promote deposition of natural ECM. The hybrid nanoES/HASMC sheets (Fig. 6b) were rolled into multi-layer 3D tubular structures and matured (Supplementary Information text) without macroscopic delamination or desquamation (Fig. 6c), and analyses showed that the cells expressed smooth muscle α-actin (Supplementary Fig. S13), the key contractile protein in smooth muscle37.
The distribution of nanoES in the tubular construct was visualized by micro-computed tomography (μCT). A projection of the reconstructed 3D μCT data (Fig. 6d) revealed regularly spaced metal interconnects with at least four revolutions (arrows, Fig. 6d, II), consistent with the nanowire FET mesh and tissue rolling. Analyses of hematoxylin-eosin-stained sections (Fig. 6e) revealed smooth muscle tissue ~ 200 μm thick, with elongated cells and collagenous nanofibers, and embedded SU-8 ribbons from the nanoES (Fig. 6e). These findings confirm 3D integration of nanowire FET nanoelectronics with healthy smooth muscle.
The potential of this vascular construct to function as a biomedical device was demonstrated by 3D pH sensing (Fig. 6f, inset). As the extravascular pH was varied stepwise with luminal pH fixed, simultaneous recordings from nanowire FETs in the outermost layer showed stepwise conductance decreases with a sensitivity of ~ 32 mV/pH. nanowire FETs in the innermost layer (closest to luminal) showed minor baseline fluctuations. This ability to resolve extravascular pH changes makes possible detection of inflammation, ischemia, tumor microenvironments or other forms of metabolic acidosis due to overproduction of organic acids or impaired renal acidification39,40, although we stress that implantation of these nanoES based vascular and other nanoES-embedded constructs for in-vivo studies will require substantial future work.
The nanoES concept and implementations described here represent a new direction in merging nanoelectronics with biological systems since we have demonstrated 3D macroporous material/device platform that is distinct from either engineered tissue6,41or flexible electronics13-17,42-44. Looking forward, there are several areas to develop. Cell interactions with nanoES could be tuned by modification of the nanoES with growth determinants6,32. In addition, the elements in the nanoES could be expanded to incorporate nanoscale stimulators and stretchable designs to provide electrical and mechanical stimulation to enhance cell culture.
Methods
Kinked and uniform silicon nanowires were synthesized by the nanocluster-catalyzed methods described previously18. Devices were fabricated on silicon substrates (Nova Electronic Materials, n-type 0.005 V·cm) with 600nm SiO2 or 100 SiO2/200 Si3N4 at the surface. Electron beam lithography and photolithography on nickel relief layers were used to define the metal contacts to the nanowires and the principle features of the scaffolds. Key steps used in the fabrication of the reticular nanoES were as follows: (1) 100 nm nickel metal was patterned and deposited, and served as the relief layer for the free-standing scaffolds. (2) A 300-500 nm layer of SU-8 photoresist (2000.5, MicroChem Corp., Newton, MA) was deposited over the entire chip (Fig. S1c) followed by pre-baking at 65 °C and 95 °C for 2 and 4 min, respectively, then (3) an isopropanol solution of n+-n-n+ kinked nanowires was deposited onto the SU-8 layer. (4) After identifying nanowire positions by optical imaging (Olympus BX51) and designing the interconnect and SU-8 patterns in IGOR Pro (WaveMetrics) and DesignCAD, EBL was used to pattern the overall SU-8 scaffold structure around chosen nanowires which was post-baked (65 °C and 95 °C for 2 and 4 min, respectively) and cured (180 °C, 20 min) to yield the flexible structural support for metal interconnects. (5) The silicon substrate was then coated with MMA and PMMA double layer resist, the resist was patterned over the chosen SU-8 ribbons, and then nonsymmetrical Cr/Pd/Cr (1.5/50-80/50-80 nm) metals were sequentially deposited followed by metal lift-off in acetone to form the nanowire interconnects. The nonsymmetrical Cr/Pd/Cr layer structure yields a built-in stress, which drove 3D self-organization when the structure was relieved from the substrate. (6) The silicon substrate was then coated with a uniform 300-400 nm layer of SU-8, and EBL of SU-8 followed by curing (180 °C, 20 min) was used to define the SU-8 passivation layer over the deposited metal interconnects. (7) The reticular nanoES, including the interconnected kinked nanowire FET devices, was released from the substrate by etching of the nickel layer (Nickel Etchant TFB, Transene Company Inc., Danvers, MA) for 60-120 min at 25 °C. Last, the free-standing nanoES were dried using a critical point dryer (Autosamdri 815 Series A, Tousimis, Rockville, MD) and stored in the dry state prior to use in tissue culture. Each EBL step will take 10 min ~ 2 h depending on the writing speed and area, feature size and complexity, and electron beam dosage (e.g. the typical area dosages for SU-8 and PMMA EBL are 3-8 μC/cm2 and 500-1000 μC/cm2 at 25 kV, respectively.). The entire fabrication took 2-5 days depending on the duration of individual steps. A similar approach was used in the fabrication of the mesh nanoES (Supplementary Information text), except that photolithography was used and the entire process took 2-3 days.
NanoES/collagen(Matrigel™) hybrid matrix were made by casting 50 ~ 2000 μL collagen or Matrigel solution onto the edge of (reticular nanoES) or directly above (mesh nanoES) the nanoES scaffolds, and at ~ 4 °C. The solutions were allowed to form gels around nanoES under 37 °C, 5 % CO2 condition for at least 20 min. The 3D nanoES/alginate scaffolds were prepared from pharmaceutical-grade alginate (Protanal LF5/60, FMC Biopolymers) by calcium gluconate crosslinking and subsequent lyophilization to produce a sponge like scaffold (5~15 mm × 2~10 mm, d × h). To prepare NanoES/PLGA hybrid scaffolds, a sheet of PLGA fibers with diameters of ~ 1-3 μm was deposited on both sides of the mesh nanoES. The hybrid scaffold can be folded to increase thickness.
Embryonic Sprague/Dawley rat hippocampal cells, neonatal Sprague/Dawley rat cardiomycytes and human aortic smooth muscle cells were cultured in nanoES using established protocols (Supplementary Information text). Optical micrographs of immunohistochemically and histologically stained samples were recorded using either Olympus Fluoview FV1000 or Olympus FSX100 systems. The structures of nanoES were characterized with Zeiss Ultra55/Supra55VP field-emission SEMs or the HMXST Micro-computed tomography x-ray imaging system (model: HMXST225, X-Tek). The in vitro cytotoxicity of nanoES was evaluated using the standard LIVE/DEAD® Viability/Cytotoxicity Kit (Molecular Probes, Invitrogen) and the CellTiter 96® AQueous One Solution Cell Proliferation Assay (Promega Corporation). Cardiomyocyte recordings were carried out in Tyrode solution with a 100 mV DC source for the nanowire FETs. The current was amplified with a multi-channel preamplifier, filtered with a 3 kHz low pass filter (CyberAmp 380), and digitized at a 50 kHz sampling rate (Axon Digi1440A)18-20. In extravascular pH sensing experiments, a single polydimethylsiloxane (PDMS) microfluidic chamber was used to deliver two flows of phosphate buffer solutions, where inner and outer tubings were used to deliver solutions with fixed and varied pH, respectively. The electrical measurements were conducted using a lock-in amplifier with a modulation frequency of 79 and 39 Hz, time constant of 30 ms, amplitude of 30 mV; The DC source-drain potential is zero. Ag/AgCl reference electrodes were used in all recording and sensing experiments. The calibrated potential values (unit: mV) recorded from nanowire FETs were obtained as the ratios between device conductance changes (unit: nS) and the sensitivities (unit: μS/V or nS/V) that are determined individually in water-gate experiments.
Supplementary Material
Acknowledgments
We thank Dr. Fettah Kosar for help on μCT imaging of synthetic tissue samples, J. L. Huang for assistance with culture chamber preparation. C.M.L. acknowledges support from a NIH Director’s Pioneer Awardand a McKnight Foundation Technological Innovations in Neurosciences Award. D.S.K. acknowledges Biotechnology Research Endowment from Children’s Hospital Boston. R.S.L. acknowledges NIH grants DE013023 and DE016516.
Footnotes
Author contributions
B.T., J.L., T.D., D.S.K. and C.M.L. designed the experiments. B.T. and J.L. performed experiments. T.D., J.T. and Q.Q. assisted in the initial stage of the project. L.J. and Z.S. performed calculations and simulations. B.T., J.L., D.S.K. and C.M.L. wrote the paper. All authors discussed the results and commented on the manuscript.
Supplementary Information accompanies the paper on www.nature.com/naturematerials.
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