Vincent
Chan
ae,
Jae Hyun
Jeong
b,
Piyush
Bajaj
ae,
Mitchell
Collens
ae,
Taher
Saif
d,
Hyunjoon
Kong
b and
Rashid
Bashir
*ace
aDepartment of Bioengineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
bDepartment of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
cDepartment of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
dDepartment of Mechanical Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
e2000 Micro and Nanotechnology Laboratory, MC-249, University of Illinois at Urbana-Champaign, 208 North Wright Street, Urbana, Illinois 61801, USA. E-mail: rbashir@illinois.edu; Fax: +1 (217) 244-6375; Tel: +1 (217) 333-3097
First published on 29th November 2011
Cell-based biohybrid actuators are integrated systems that use biological components including proteins and cells to power material components by converting chemical energy to mechanical energy. The latest progress in cell-based biohybrid actuators has been limited to rigid materials, such as silicon and PDMS, ranging in elastic moduli on the order of mega (106) to giga (109) Pascals. Recent reports in the literature have established a correlation between substrate rigidity and its influence on the contractile behavior of cardiomyocytes (A. J. Engler, C. Carag-Krieger, C. P. Johnson, M. Raab, H. Y. Tang and D. W. Speicher, et al., J. Cell Sci., 2008, 121(Pt 22), 3794–3802, P. Bajaj, X. Tang, T. A. Saif and R. Bashir, J. Biomed. Mater. Res., Part A, 2010, 95(4), 1261–1269). This study explores the fabrication of a more compliant cantilever, similar to that of the native myocardium, with elasticity on the order of kilo (103) Pascals. 3D stereolithographic technology, a layer-by-layer UV polymerizable rapid prototyping system, was used to rapidly fabricate multi-material cantilevers composed of poly(ethylene glycol) diacrylate (PEGDA) and acrylic-PEG-collagen (PC) mixtures. The incorporation of acrylic-PEG-collagen into PEGDA-based materials enhanced cell adhesion, spreading, and organization without altering the ability to vary the elastic modulus through the molecular weight of PEGDA. Cardiomyocytes derived from neonatal rats were seeded on the cantilevers, and the resulting stresses and contractile forces were calculated using finite element simulations validated with classical beam equations. These cantilevers can be used as a mechanical sensor to measure the contractile forces of cardiomyocyte cell sheets, and as an early prototype for the design of optimal cell-based biohybrid actuators.
Significant progress in developing cell-based biohybrid actuators has recently been reported. Contractile stresses and forces of single cells and cell sheets of cardiomyocytes and skeletal myotubes cultured on silicon8 and PDMS9 micro-cantilevers have been measured. Xi et al.4 developed a microdevice using a silicon backbone with self-assembled cardiomyocytes grown on a chromium/gold layer. The collective and cooperative contraction of the cells caused the backbone to bend and stretch in a walking motion, which traveled at a maximum speed of 38 μm s−1. Kim et al.5 established a swimming microrobot by micromolding PDMS. Using cardiomyocytes, cells were seeded on top of four conjoined cantilever beams that were grooved to influence the alignment and enhance their contractility relative to flat beams. An increase in force (88%) and bending (40%) was recorded, with an average swimming speed of 140 μm s−1. Feinberg et al.6 assembled cardiomyocytes on various PDMS thin films with proteins to create muscular thin films. When released, these thin films curled or twisted into 3D conformations that purportedly performed gripping, pumping, walking (133 μm s−1), and swimming functions (400 μm s−1).
However, progress in developing cell-based biohybrid actuators has been limited to rigid materials, ranging in elastic moduli on the order of mega (106) to giga (109) Pascals. Recent reports in the literature have established a correlation between substrate rigidity and its influence on the contractile behavior of cardiomyocytes.1,2,10,11 These studies show that cardiomyocytes cultured on hard substrates overstrain themselves, lack striated myofibrils, and stop beating. Conversely, substrates showing a close correspondence to tissue elasticity (∼10 kPa) are optimal for transmitting contractile work to the substrate and for longer periods of time.1 Therefore, it is worthwhile to explore and evaluate more compliant cantilevers with tissue-like elasticity on the order of kilo (103) Pascals, and subsequently measure the contractile stresses and forces of cardiomyocytes on these devices.
While its mechanical properties can easily be altered in the kilo (103) Pascal range12–14 by changing the monomer-to-curing agent mixing ratio, functionalization of PDMS-based substrates for cell adhesion is challenging.15 This can be attributed to its chemical inertness, hydrophobicity, and high chain mobility. In particular, chain mobility is probably the key limiting factor in modifying PDMS; surface treatments lead to unstable and short-lived oxidized layers.16 Thus, physical adsorption is relatively inefficient and transient on PDMS. Furthermore, PDMS-based microfabrication requires master molds patterned by photolithography with SU-8 photoresist and silicon. This conventional photolithography process requires clean room facilities and costly equipment, which limits the complexity of multi-layer constructs and the ability to make changes quickly and cheaply.
In contrast, poly(ethylene glycol) (PEG) is a synthetic polymer that has tissue-like elasticity, which can be fine-tuned by changing its molecular weight or percent composition.17 PEG-based hydrogels are hydrophilic and can be functionalized by activating with Sulfo-SANPAH and conjugating with full-length ECM molecules.18 Cell adhesion domains,19,20 growth factors,21 and hydrolytic22 and proteolytic sequences23,24 can also be incorporated directly into the PEG backbone. Additionally, PEG is highly permeable to oxygen, nutrients, and other water-soluble metabolites. This is especially advantageous for cell-encapsulated, three-dimensional (3D) model systems. PEG-based hydrogels can be photopolymerized with a UV laser or lamp based on 3D CAD images; thus, complex 3D geometries can be formed through direct exposure.
This study uses a 3D stereolithographic printer to rapidly fabricate multi-material hydrogel cantilevers with varying stiffness. A stereolithography apparatus (SLA) is a rapid prototyping tool25,26 used to produce three-dimensional (3D) models, prototypes, and patterns by repetitive deposition and processing of individual layers.27,28 It uses a UV laser (325 nm) to directly write on and polymerize photosensitive liquid materials based on a CAD-designed digital blueprint, sliced into a collection of two-dimensional (2D) cross-sectional layers, and processed into a real 3D part using layer-by-layer deposition. The automated, high-throughput process is particularly useful for biohybrid systems due to its multi-material capability, which can be used to change the synthetic material composition or insert cells or proteins at precise locations on the structure.29 It has recently been adapted for use with photopolymerizable hydrogels,30,31 which are highly hydrated and crosslinked polymer networks. The SLA is particularly useful for testing biohybrid actuator designs because of the ease in changing the dimension and shapes quickly and producing new ones to seed cardiomyocytes on. The aim of this paper is to incorporate acrylic-PEG-collagen into photopolymerizable PEGDA hydrogels (PEGDA-PC) to create cantilevers in the SLA that can be used to measure contractile forces at different stiffnesses and to see how those stiffnesses affect the contractility of cardiomyocytes for the design of cell-based biohybrid actuators.
:
1 acryl-to-lysine molar ratio for 30 minutes at 4 °C. A 50% (v/v) acrylic-PEG-collagen solution was mixed with 20% poly(ethylene glycol) diacrylate (PEGDA) and 0.5% Irgacure 2959 photoinitiator in ice cold HBSS to form the pre-polymer solution. The PEGDA molecular weight (Mw) was varied to fabricate the base (Mw 700 Daltons) and beam (either Mw 700 or Mw 3400 Daltons) of the cantilevers. PEGDA was purchased from Sigma-Aldrich (Mw 700 Daltons) and Laysan Bio (Mw 3400 Daltons). A working solution of Irgacure 2959 photoinitiator (Ciba, Basel, Switzerland), which is only partially water-soluble, was prepared at 50% (w/v) by dissolution in DMSO.
The fabrication setup consisted of a 35 mm diameter Petri dish and an 18 × 18 mm cover glass that was bonded to the dish with double-sided tape. The dish was positioned at the center of the SLA platform, and a carefully characterized volume of pre-polymer solution was added into it. The beam of the cantilever was fabricated first, by selective laser crosslinking of the prepolymer solution, to ensure the precise thickness was not affected by the energy dose. The unpolymerized solution was then evacuated using a pipette and an equal volume of the pre-polymer solution for the cantilever base was added. The SLA then polymerized the first layer of the base (300 μm thick) according to the characterized energy dose for PEGDA-PC 700. The pre-polymer solution was added, and the elevator controlled by the SLA was lowered to a specified distance. After photopolymerization, the part was recoated, and the process was repeated until completion. In all, the fabrication of the cantilevers took not more than 15 minutes, although the processing time can be accelerated. The cantilevers were then transferred to a 0.02 N acetic acid solution to be washed. This step prevented the high collagen concentration in the unpolymerized pre-polymer solution from gelling around the cantilever; however, this step should only be done for less than a minute as acetic acid affects cardiomyocyte adhesion on the polymerized collagen from the cantilever beams. After washing out the pre-polymer solution, the cantilevers were moved to a physiological pH buffer solution to swell overnight. A total of 4 cantilevers were fabricated in one run, but the SLA process can easily be scaled up to accommodate many more.
The swelling ratios of the gels at equilibrium were determined by measuring the weight of the swollen gels after 24 hours in pH 7.4 buffer solutions at 37 °C and the weight of the dried gels. The degree of swelling (Q), defined as the reciprocal of the volume fraction of a polymer in a gel (v2), was calculated from the following equation:
Cells seeded on the cantilevers formed sheets that were considered thin films, and the cantilevers were modeled as composite, two-component systems. The model was validated by simulating cantilevers with beam dimensions and comparing the stress calculations to Atkinson's approximation, a variant of Stoney's equation:8
The simulations were performed with measured elastic moduli of 503 kPa for PEGDA-PC 700 and 17.82 kPa for PEGDA-PC 3400. Poisson's ratio of PEGDA-PC was assumed to be 0.499. Based on the literature, the elastic modulus of a sheet of cardiomyocytes was assumed to be 10 kPa with a thickness of 10 μm.34,35 The density of cardiomyocytes and the PEGDA-PC material was assumed to be 1.06 kg m−3 and 1.12 kg m−3, respectively.
000 Daltons and photopolymerizing it in the SLA could be used to modulate the elasticity from 503 ± 57 kPa to 4.73 ± 0.46 kPa, respectively.31 Collagen was chemically linked to the PEGDA backbone by acrylating its lysines, making them photocrosslinkable. Because PEGDA is normally inert, the collagen served to promote cell adhesion to the cantilever beams. The addition of collagen to the PEGDA backbone did not noticeably affect the mechanical properties of the hydrogel. Both the elastic modulus (Fig. 1B) and swelling ratio (Fig. 1C) were conserved for PEGDA-PC 700 and 3400. For 20% PEGDA-PC 700, the elastic modulus was 507 ± 110 kPa, and the swelling ratio was 6.25 ± 0.06. For 20% PEGDA-PC 3400, the elastic modulus was 29.8 ± 17 kPa, and the swelling ratio was 13.6 ± 0.95. From a biological perspective, mechanical properties of these hydrogels are closer to the in vivo environment of cells than either silicon or PDMS. They are also optically transparent, and therefore force measurements and immunofluorescence imaging of specific biological markers can be made simultaneously under light microscopes.38,39
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| Fig. 1 Biohybrid material. (A) A mixture consisting of poly(ethylene glycol) diacrylate (PEGDA) and acrylic-PEG-collagen (PC) was formulated as the photopolymerizable material for fabricating cantilever beams. Collagen I, extracted from rat tail, was modified on their lysine groups with acrylic groups to UV cross-link to the PEG backbone in the presence of a photoinitiator. (B and C) The mechanical properties of PEGDA-PC hydrogels were measured using a compression test at increasing molecular weight, demonstrating that the cantilever beams can be tuned to a wide range of elastic moduli and swelling ratios. These values did not change from that of PEGDA-only hydrogels, which suggests that the incorporation of acrylic collagen did not affect bulk mechanical properties. For n = 3 and SD. | ||
Eight cantilevers were built for every fabrication run, with two sharing a common base. The SLA setup (Fig. 2A) can be easily modified with a larger-sized container to scale up the number of cantilevers in each run. The original dimensions (length × width × thickness) for the cantilevers were specified in CAD-based software, with the bases being 2 × 2 × 4 mm and the cantilever beams being 2 × 4 × 0.45 mm (Fig. 2B). An inherent characteristic of PEGDA hydrogels, however, is its tendency to imbibe water and swell many times beyond its intended dimensions. The cantilever thickness had to be adjusted to account for this swelling. The actual dimensions of PEGDA-PC 700 and 3400 cantilevers after 24 hours of equilibrium swelling were 4.1 × 2.1 × 0.45 mm and 4.3 × 2.3 × 0.45 mm, respectively. One major benefit of the SLA approach is that more than one biomaterial, growth factor, or cell type can be introduced and spatially defined in the same 3D construct.40 This is especially useful for creating gradients of varying mechanical or bioactive properties. In particular, cantilevers were fabricated on a base consisting of PEGDA 700. The beams themselves were exchanged for either PEGDA-PC 700 or 3400, depending on the desired elasticity. As shown in the simplified process flow (Fig. 2C), the cantilever beams were fabricated first in the SLA to ensure the correct thickness, while maintaining the laser energy dose (150 mJ cm−2) between PEGDA-PC 700 and 3400 materials to preserve the same trend in elasticity. The resulting PEGDA-PC 700 (Fig. 3A) and PEGDA-PC 3400 (Fig. 3B) cantilevers are shown with comparable dimensions after equilibrium swelling in HBSS.
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| Fig. 2 Multi-material cantilever fabrication. (A) The cantilevers were fabricated with a 3D stereolithographic printer, which uses a UV laser to construct layer-by-layer patterns. (B) Two separate cantilevers (2 mm wide × 4 mm long × 0.45 mm thick) were built on opposite ends of one base (2 mm wide × 2 mm long × 4 mm thick). The molecular weight of the PEGDA-PC cantilever beam was varied using either PEGDA-PC 700 or 3400, while the base was kept constant using PEGDA-PC 700. (C) A simplified fabrication process flow is shown, which begins with the formation of the cantilever beam before the base. | ||
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| Fig. 3 Intrinsic stress calculations. After the fabrication process, (A) PEGDA-PC 700 and (B) PEGDA-PC 3400 cantilevers were washed in HBSS to remove uncrosslinked pre-polymer solution. Due to an intrinsic stress, PEGDA-PC 3400 cantilevers would bend upward to relieve stress in the beams. (C) The peak stress was calculated by using finite element analysis to simulate the deflection of the cantilever beam (inset). Scale bars are 1 mm. Statistics by one-way ANOVA, Tukey's test, *p < 0.05 for n = 8 and SD. | ||
Finite element analysis (COMSOL simulations) was used with the displacement values to calculate the intrinsic stress of the cantilever beams (Fig. 3C). The insets in Fig. 3C show the simulated displacement values, which were used to calculate the intrinsic stress for PEGDA-PC 700 and 3400. The intrinsic stresses obtained were 0 ± 0 Pa and 4160 ± 910 Pa, respectively.
One hypothesis for the cantilever bending due to non-uniform residual stress is that during the UV laser polymerization in the SLA, the highest concentration of energy is focused at the surface of the pre-polymer solution. As the laser penetrates into the solution, it is absorbed by the photoinitiator and monomers. By the time it reaches a penetration depth of 450 μm at the other end of the beam, the energy is decreased, which reduces the overall crosslinking density. A simple calculation using the Beer–Lambert law reveals a 79.1% decrease in light transmittance (λ = 325 nm) through the pre-polymer solution at a depth of 450 μm (see ESI†). This leads to a gradient in microstructure of the polymerized gel across the thickness. Consequently, the properties of the gel, such as swelling due to water absorption and stiffness, also have a gradient. This gradient in swelling across the thickness causes bending of the cantilever.
Cardiomyocytes extracted from neonatal rat ventricular myocytes were seeded on PEGDA, PEGDA-RGD, and PEGDA-collagen (PEGDA-PC) hydrogels. After 2 days, cells were qualitatively evaluated for cell adhesion and spreading. It was clear that cardiomyocytes spread much better on PEGDA-PC hydrogels than PEGDA and PEGDA-RGD (Fig. S5†). The cells on PEGDA and PEGDA-RGD appeared to remain balled up in spheres and preferentially attached to each other rather than on the substrate. Many of the cells had washed off after a change of media indicating poor cell attachment. On the other hand, cardiomyocytes on PEGDA-PC spread greatly, formed gap junctions, and began to contract in synchrony. Because of that, we used PEGDA-PC hydrogels as our material choice for cantilever fabrication, which has the bioactivity for cell attachment and function, and ability to change its mechanical stiffness through its molecular weight.
After seeding, cardiomyocytes were allowed to adhere for 24 hours. By then, the cantilevers had already started to bend downward due to cell traction forces as the cardiomyocytes began to spread and reorganize themselves. Cell traction forces are generated by actomyosin interactions and actin polymerization, and regulated by intracellular proteins such as α-smooth muscle actin and soluble factors such as TGF-β. Once transmitted to the extracellular matrix through stress fibers via focal adhesions, which are assemblies of ECM proteins, transmembrane receptors, and cytoplasmic structural and signaling proteins, cell traction forces direct many cellular functions, including cell migration, ECM organization, and mechanical signal generation. The stress induced by the cell sheet is clearly seen by the change in displacement over time on the cantilever beams (Fig. 4A). The cell sheet continued to apply traction forces on the cantilevers over 72 hours before it stabilized. The bending angle of the curved beams was measured and recorded every day for 4 days (Fig. 4B). Because of the cell traction forces, the bending angle for PEGDA-PC 3400 cantilevers was decreased from its intrinsic value of 67.1 ± 7.9° to 44.2 ± 6.0° by the third day of culture. PEGDA-PC 700 cantilevers, having a high elastic modulus, did not bend at all during culture. The displacement values were also measured and used in FEM simulations to calculate the stress on the cantilever beams by the cell sheet. The simulated displacements and stresses for PEGDA-PC 700 and 3400 are shown in Fig. 4C. For PEGDA-PC 3400, the highest level of stress was seen at the fixed end of the beam. The maximum stress values were calculated every day (Fig. 4D), and the change in stress was plotted every 24 hours. The cell sheet reached a maximum stress of 2040 Pa before it leveled off. The change in stress was highest after the first day and continually decreased before there was virtually no change between 72 and 96 hours.
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| Fig. 4 Cell sheet stress calculations. Cells from the ventricles of neonatal rat hearts were seeded on the backside of the cantilever beams. (A) The traction forces of these cells, which are responsible for migration, proliferation, and differentiation, caused the PEGDA-PC 3400 cantilever beams to deflect downward in the Z-direction over time. (B) The average bending angles of the cantilevers were measured over a 96 hour period, which was used to calculate the deflection at the tip of the beams. (C) These deflections were simulated using finite element analysis to calculate the stresses exerted by the cell sheets due to traction forces. (D) These stresses exerted by the cell sheet and modeled as a thin film were plotted over time. The change in stress over 24 hour time points decreased and reached 0 by 96 hours. Scale bars are 1 mm. Statistics by one-way ANOVA, Tukey's test, *p < 0.05 for n = 8 and SD. | ||
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| Fig. 5 Cardiomyocytes on PEGDA-PC substrates. (A) Cells on the cantilevers were fluorescently labeled with anti-sarcomeric α-actinin and anti-DNA. Qualitatively, cardiomyocytes on PEGDA-PC 3400 and PEGDA-PC 700 both expressed actomyosin complexes (striations), but those on PEGDA-PC 3400 appeared to be more elongated and spindle-shaped. (B) None of the PEGDA-PC cantilevers actuated until at least the second day in culture, but the number of actuating cantilevers on this day was much greater for PEGDA-PC 3400 than PEGDA-PC 700. (C) The beating frequency of the cardiomyocytes was also much greater for PEGDA-PC 3400 than PEGDA-PC 700, indicating a preference for the softer material. Statistics by one-way ANOVA, Tukey's test, *p < 0.05 for n = 8 and SD. | ||
Actuation of the PEGDA-PC 700 and 3400 cantilevers is shown in Movies S1 and S2†. Actuation of the cantilevers is a consequence of the contraction and relaxation of the cardiomyocyte cell sheet through the sliding filament mechanism.45 During contraction, cardiomyocyte filaments shorten by the sliding of actin and myosin filaments in sarcomeres, as triggered by action potentials and intracellular calcium signals.46 Calcium is the critical part of the medium that allows the actin, myosin, and ATP to interact, causing crossbridge formation and muscle contraction. This process continues as long as calcium is available to the actin and myosin. During relaxation, cardiomyocyte filaments return to their original position as calcium is pumped back into the sarcoplasmic reticulum, preventing interaction of the actin and myosin. Cardiomyocyte cell sheets on PEGDA-PC 3400 cantilevers had all started to actuate after 48 hours (100%), whereas only a quarter of the cardiomyocyte cell sheets on PEGDA-PC 700 cantilevers followed suit (25%) during the same time period (Fig. 5B). This percentage increased after 72 hours (83%), but the development of functional synctium was clearly slower. Furthermore, the beating frequency of the cardiomyocyte cell sheet was greater for PEGDA-PC 3400 than 700. After 48 hours, cardiomyocytes on cantilever plates with Mw 3400 reached a beating frequency of 1.12 ± 0.14 Hz, while those for Mw 700 reached 0.39 ± 0.05 Hz, respectively (Fig. 5C). The frequency increased slightly for both after 72 hours to 1.40 ± 0.16 Hz and 0.44 ± 0.06 Hz, respectively. These results seem to be in agreement with previous reports that claim that the substrate elasticity of the developing myocardial microenvironment are optimal for transmitting contractile work to the matrix and for promoting actomyosin striations.1 In addition to the substrate elasticity, it is possible the hydrogels with higher molecular weight have more cell adhesive sites exposed on the surface of the cantilever than hydrogels with lower molecular weight.
Finally, we measured the actuation amplitudes of the cantilevers over 96 hours (Fig. 6A). Similar to the beating frequency, the amplitudes reached a maximum on the third day post-seeding with values of 2 ± 8 μm and 390 ± 40 μm for PEGDA-PC 700 and 3400, respectively. The actuation amplitudes did not reach a maximum suddenly; rather, they increased linearly over time as more cardiomyocytes joined the synctium of cells. Using these amplitudes, we calculated the contractile forces of cardiomyocyte cell sheets on PEGDA-PC 700 and 3400 cantilevers by using the following equations (Fig. 6B):
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| Fig. 6 Force of contraction. Using an equation for cantilever beam stiffness, the force of contraction was calculated by multiplying the stiffness by the deflection of the cantilever after contraction. Statistics by one-way ANOVA, Tukey's test, *p < 0.05 for n = 8 and SD. | ||
The mechanical forces generated with cardiomyocyte cell sheets on elastic substrates near that of the native myocardium can be used to model and design self-propelled bio-bots. There are several ways to improve the current output of force, such as aligning the cardiomyocytes by patterning proteins or grooves into the substrate.48 The stiffness of the beam can be decreased by reducing the beam thickness or expanding its length. The density of cells can be increased by encapsulating them in 3D. Varying rigid (PEGDA-PC 700) and soft (PEGDA-PC 3400) materials throughout the bio-bot design can also be beneficial for maximizing deflection in one direction and minimizing it in another. These designs can be used to form the basis of more complex cell systems. For example, cardiomyocytes can later be replaced with skeletal myoblasts and co-cultured with neurons to form neuromuscular junctions. The genetic machinery of the neurons can be reprogrammed to form simple functions of switching on and off chemical secretions, which in turn can be used to stimulate muscle cells to propel the bio-bot. The advantage of using this hydrogel system over silicon and PDMS is that when we switch over to other cell types, which are sensitive to their environment, we can tune the elasticity of the substrate in accordance to them. As the stiffness is modulated for these specific cell types (i.e., neurons and skeletal muscle cells), this may affect the curvature of the material due to cell traction forces, in which case more rigid materials can be used to maintain the structural integrity of the bio-bot. Thus, a true living, multi-cellular machine could be created using the capabilities of the SLA, which can perform multiple functions such as sensing, moving, and effecting.49
Experimentally, these cantilevers have been verified to function optimally for at least 5 days post-seeding. After this period, the frequency and amplitude of the actuating cantilevers decrease significantly. The lifetime of these cantilevers can be extended by reducing the overgrowth of fibroblasts in low serum medium.50 Other groups have demonstrated up to 16 days of functional components with cardiomyocytes.6 Furthermore, previous reported results on cardioids show that periods up to 60 days are readily attainable in culture.51 Lifetimes beyond this would require new technologies to support long-term survival in vitro.
Footnote |
| † Electronic supplementary information (ESI) available. See DOI: 10.1039/c1lc20688e |
| This journal is © The Royal Society of Chemistry 2012 |