1 Introduction

In a conventional two-dimensional (2D) culture method, cells are attached to the bottom of a culture dish, such as artificial plastic or glass substrate, to grow into a monolayer [1,2,3]. This 2D culture method is easy to handle, cost-effective, reproducible, adaptable to growing many different types of cells, and could reduce the use of animal models [1, 4]. However, monolayer 2D cell culture conditions are far from those of natural tissue [3,4,5].

In 2D cell culture, cells grow only in a monolayer and cannot pile up, as do all natural cells [3]. For 2D cell culture, cells are isolated from tissue, and the diverse morphology of the cells is changed or lost [3, 6, 7]. The change in cell morphology affects cellular function [8, 9], the organization of the structure within the cell [3], and cell secretion and signaling [10, 11]. Studies showed that interactions between cells and the external environment were interrupted, and cells lost their polarity, that changing the cellular response to various phenomena such as apoptotic signals [12,13,14]. Receptor expression [3], oncogene expression [3], interaction with the extracellular matrix (including the basement membrane) [3], and overall architecture were also affected [3]. For example, tumor tissue is surrounded by a tumor microenvironment that consists of several different types of cells, matrix components, and signal molecules in vivo [15]. Cancer microenvironment components, such as vascular structure, acidic conditions, hypoxic regions, and tumor and stromal cell interactions, modulate the response to anticancer drugs [16]. However, 2D cell cultures with tumor cells cannot reproduce these complex conditions. Therefore, tumor cells grown in 2D culture showed a 95% drug failure rate, and 2D culture systems could not be utilized as reliable predictors of in vivo drug efficacy and toxicity or as a drug development model [17, 18]. As a result, the need for a three-dimensional (3D) culture system was highlighted [3,4,5].

Cells grown in 3D cell culture methods showed improvements in basic biological cell mechanisms, including, viability, morphology, proliferation, differentiation, cell–cell communication, drug metabolism, gene expression, protein synthesis, and in vivo relevance compared to 2D cell culture [3, 19]. For example, in 2D cultured cells, polarized and binding proteins are concentrated on the surface where the cells attach to the culture plate, but receptors and adhesion molecules in 3D cultured cells are more evenly and naturally spread on the cell surface [20]. And cells grown in a 3D culture system formed more tissue-like structures caused by the homogeneous expression of adhesion molecules distributed on the cell surface [21]. In oxidative stress (caused by hydrogen peroxide) and potentially toxic heavy metal (silver) treatment, 3D cultured skin cells were more viable compared to 2D cultured cells [22]. Interestingly, genetic analysis of human tissues, 3D cultured cancer cell, and animal tumor moder showed that human tissues and 3D cell cultures had greater correlation in profile compared to animal models [23, 24]. Therefore, 3D cell cultures have been widely used in cancer research, stem cell research, drug discovery, and disease research [25].

3D cell culture methods include hanging drop, scaffolds, hydrogels, cell sheets (CSs), microfluid systems, and bioreactor systems [26,27,28,29,30,31]. Recently, external physical stimulation-based 3D cell culture platforms, such as acoustic and magnetic forces, were introduced. In this article, we will review acoustic and magnetic-based 3D cell culture platforms, especially their use in tissue engineering.

2 Acoustic-based 3D cell culture platform

An acoustic wave is a kind of mechanical wave [32], and frequencies from kilohertz-to-megahertz are easily generated [33, 34]. Acoustic waves can be divided into bulk acoustic waves (BAWs) and surface acoustic waves (SAWs), according to the method of generation [35, 36]. Acoustic waves are usually generated by applying an alternating voltage to piezoelectric materials [35, 37, 38]. BAWs are generated via piezoelectric transducers, which can convert electrical signals into mechanical waves [35]. Acoustic waves reflected from a reflector can form standing waves containing pressure nodes and pressure antinodes [35]. The number of standing waves can be adjusted by controlling the acoustic wave frequency [39]. SAWs are generated by interdigitated transducers patterned on a piezoelectric surface [40]. Interdigitated transducers are mostly used in pairs. Two or four interdigitated transducers can be used to generate one-dimensional or 2D wave interference patterns [40, 41].

Acoustic waves can establish pressure distributions in fluids [35]. This produces an acoustic radiation force (ARF) due to an acoustic field gradient [42]. Objects in a strong-gradient acoustic field can be manipulated using [32]. ARF can induce suspended objects to gather in the pressure node (or pressure antinode) region [42]. After that, objects are no longer randomly distributed but are concentrated in nodal planes [43]. Objects gathered on the nodal plane can aggregate to form clusters. Bjerknes force is generated between objects vibrating in close range that can help clusters remain stable and close together [44]. This is called an “acoustic trap,” and BAWs and SAWs can form acoustic traps [44, 45].

Acoustic technology using acoustic waves has contactless, label-free, excellent biocompatibility, and flexibility properties. It can manipulate cells while maintaining cell-specific conditions, which is a promising technology for fabricating 3D spheroids [37, 41, 46]. Below, we introduce several acoustic-based 3D cell culture platform systems and their applications for tissue engineering.

2.1 Spheroid formation with acoustic-based 3D cell culture platform

The ability to manipulate cells using acoustic waves can also be applied to 3D cell culture. Jeger-Madiot et al. demonstrated the use of acoustic levitation technology to form a stem cell spheroid [47]. They designed a 3D cell culture device containing a polydimethylsiloxane (PDMS) frame with a microscope cover glass and a 2 MHz ultrasonic transducer (Fig. 1A). PDMS has excellent biocompatibility and gas permeability and is commonly used in cell culture and tissue engineering [48]. An ultrasonic transducer can produce sine waveform acoustic waves with a frequency of 2.15 MHz. Microscope cover glass acts as an acoustic reflector. Mesenchymal stem cells (MSCs) were injected into a 3D cultured device and cultured for 24 h. MSCs self-assembled and formed spheroids after 10 h (Fig. 1A). After the cells were located in the nodal plane of the acoustic wave, they were aggregated by ARF transverse waves (Figs. 1A, 1B). After 24 h, the generated spheroids showed high viability and high reattachment levels when re-seeded to a culture dish, indicating that MSC spheroids maintained the ability to re-adhere to a culture dish (Fig. 1C). In osteogenic and adipogenic differentiation, 3D-cultured MSC spheroids formed in acoustic pressure showed enhanced osteogenic and adipogenic differentiation compared to 2D-cultured cells, indicating that levitation-induced physical effects enhanced osteogenic and adipogenic differentiation [47] (Fig. 1D).

Fig. 1
figure 1

Spheroid production using acoustic levitation techniques. A Design and process of the device used in the experiment for spheroid formation. A computer sends a signal that induces wave formation, and a transducer converts this electrical energy into acoustic energy for acoustic levitation. Cells aggregated in a sheet then form and exhibited a spherical shape after the passage of time. B Schematic diagram showing the principle of CS formation in the device and actual experiment using particles. Acoustic radiation force (ARF) was generated by acoustic energy. C Confocal and fluorescence images of a spheroid surface generated in an acoustic levitation device (left panel). Phase-contrast image of a spheroid re-seeded into a culture dish (right panel). The ability of spheroids to reattach to the dish was observed for 8 days. D Images of MSCs differentiated into adipocytes and osteocytes. Adipocyte differentiation was confirmed using Oil red O staining, and osteocyte differentiation was confirmed using alizarin red staining. MSCs cultured under levitation conditions had more adipocytes and osteoblast nodules than 2D-cultured cells. “Self-organization and culture of mesenchymal stem cell spheroids in acoustic levitation” by Jeger-Madiot et al. is licensed and used under CC BY 4.0. Excerpt from original

A previous 2D cell culture study showed that physical stimulation could up-regulate the expression levels of mechanoresponsive genes and cell proteins. Among mechanoresponsive genes and proteins, pressure-induced mechanosensitive gene and protein (PIEZO 1/2) is known to regulate functions such as differentiation and cytoskeletal restoration in 2D cultured stem cells [48,49,50,51,52]. However, PIEZO 1/2 expression in 3D cultured stem cells has not been investigated yet. Im et al. investigated the cellular mechanisms of 3D cultured stem cells related to the expression of PIEZO1/2 and developed a new subaqueous free-standing (FS) 3D cell culture device that includes a piezoelectric actuator and a reflector to create 3D cell aggregates (Fig. 2A) [53]. The piezoelectric actuator was installed at the bottom of the device, and the reflector was installed at the top. In addition, the piezoelectric actuator had a 1.6 MHz resonance frequency to generate an acoustic standing wave. After human adipose-derived stem cells (hADSCs) were injected into the device, the cells moved quickly to the node regions of the wave and aggregated within 30 min (Fig. 2B). Cell aggregates generated using acoustic pressure are called "pressuroids." The cellular properties of pressuroids were compared to those of cell aggregates formed by hanging drop (HD) and the forced-floating method (FFM), common 3D cell culture methods. PIEZO2 expression in pressuroids was higher than that of cells in the HD and FFM groups. Enhanced PIEZO2 expression led to the improved expression of PI3K, VEGF, CCND1, and PCNA (Fig. 2C). CCND1 and PCNA activate cell proliferation [54, 55] and PI3K and VEGF play important roles in angiogenesis [56]. The expression levels of anti-inflammatory cytokines were also improved in pressuroids compared to HD cells (Fig. 2D). Additionally, CD38, an M2 macrophage phenotype marker, was increased in pressuroids (Fig. 2E). To analyze wound healing efficacy, pressuroids were transplanted into mouse skin wounds. The pressuroids showed enhanced skin regenerative capabilities compared to HD cells (Fig. 2E) [53]. Anti-inflammatory cytokines secreted from pressuroids induced macrophages into the M2 type [57]. M2 macrophages promoted epithelization to influence wound treatment [58]. These results indicate that acoustic pressure could form spheroids and activate mechanoresponsive genes/proteins, thus promoting angiogenesis and epithelization in skin wounds.

Fig. 2
figure 2

Investigation of gene expression and application of pressuroids (3D cell aggregates) generated from free-standing (FS) devices to in vivo experiments. A Schematic diagram of the FS device. B Image showing that cells were aggregated over time after hADSCs were injected into the device. C PIEZO2, PI3K, VEGF, CCND1, and PCNA gene expression in single cells, hanging drop (HD) group, forced floating (FFM) group, and FS group (pressuroid). D, E Gene expression of anti-inflammatory cytokines and M2 macrophage marker CD38. The blue box is pressuroids, and the black box is the HD group cultured for 24 h. The HD group served as the control. F Images of wounds on a skin wound model on days 0, 3, 7, 10, and 14 after HD and pressuroid treatment. “Subaqueous free-standing 3D cell culture system for ultrafast cell compaction, mechano-inductive immune control, and improving therapeutic angiogenesis” by Im et al. is licensed and used under CC BY. Excerpt from original

2.2 Cell fiber formation with acoustic-based 3D cell culture platform

Ultrasonic waves have been used to manipulate suspended particles. A standing wave ultrasound field applied to a suspension moved particles to the minimum acoustic pressure area, where particles were held, creating a predictable heterogeneous distribution [59]. Koo et al. demonstrated the formation of 3D fibroblast networks using an acoustic wave [60]. 3D network-structured tissue is needed in engineered organ and drug development [60]. For example, 3D microvascular networks are important and promising network-structured tissue and essential for treating ischemic tissues in clinical applications [61, 62]. A necrotic core formed within engineered tissue due to limited oxygen and nutrient supply, and the cells were located close to a blood capillary network [63,64,65]. Koo et al. designed a 400 μm square-shaped glass capillary. The glass capillary was then glued to two ultrasound transducers. One was a 0.5 mm thick 10 × 10 mm ultrasound transducer for 4 MHz actuation, and the other was a 1 mm thick, 10 × 10 mm ultrasound transducer for 2 MHz actuation (Fig. 3A). To generate 3D fibroblast networks, fibroblasts were mixed with alginate. The glass capillary was then perfused with acoustic focusing. After acoustic focusing, fibroblasts containing alginate hydrogel were injected into a CaCl2 solution for gelation. When ultrasound at a frequency of 2 MHz was used to treat the fibroblasts within the hydrogel, one stream of fibroblasts was formed. The frequency was then changed from 2 to 4 MHz. One stream of fibroblasts was converted to four streams of fibroblasts within the hydrogel (Figs. 3B, 3C). In contrast, ultrasound-untreated fibroblasts were distributed within the gel (Fig. 3B). A live/dead cell assay found that ultrasound was not cytotoxic to fibroblasts until 10 days (Fig. 3D) [60]. This study showed that the acoustic cell patterning method had the potential for forming living cell 3D networks within the hydrogel.

Fig. 3
figure 3

Ultrasound-modulated fibroblast stream in an alginate hydrogel. A Conceptual sketch of the network generator. B Images of fibroblast cells manipulated with ultrasound. C Confocal microscopy image of aligned fibroblast cells in four streams. D Viability of ultrasound exposed or unexposed fibroblasts. “Acoustic cell patterning in hydrogel for three-dimensional cell network formation” by Koo et al. is licensed and used under CC BY. Excerpt from original

Ultrasound standing waves could be used to construct myocellular populations for engineering aligned muscle tissue structures (Fig. 4A) [66]. Armstrong et al. fabricated an acrylic plate with a cavity for suspending cells contained in a petri dish [66]. This cavity was flanked by four lead zirconate titanate piezo transducers to induce a cell pattern (Fig. 4B). To analyze acoustic patterning compatibility, myoblasts suspended in cell medium were exposed to a 2.0–2.1 MHz field for 30 min. The ultrasound did not affect cell metabolic activity, cell proliferation, myogenic gene expression, or muscle protein expression. For muscle tissue engineering, ultrasound standing waves (2.0–2.1 MHz) were applied to myoblast-seeded collagen hydrogel for 30 min. Cell fiber with a width of 60–80 μm, mimicking native tissue, was formed by ultrasound treatment. After gelation, the patterned hydrogel was removed from the ultrasound field and cultured for one day, and differentiated with a myogenic medium for muscle tissue. Cell morphology changed from a round shape to adherent myoblasts (Fig. 4C). The myoblast-patterned composition was maintained over time (Fig. 4C). Next, mechanical anisotropy was analyzed parallel or orthogonal to the patterned cell line with quasi-static tensile. Young’s modulus for parallel configuration was increased by 80% compared to an orthogonal setup (Fig. 4D). The authors repeated this experiment with gelatin methacryloyl hydrogel. Acoustic-patterned myoblasts in gelatin methacryloyl hydrogel showed enhanced myofibrillogenesis, which is the formation of muscle fibers. These results indicate that acoustic treatment could form patterned cells and engineered cell fibers.

Fig. 4
figure 4

Engineering pattern muscles using collagen. A Scheme of engineering anisotropic muscle tissue using acoustic cell patterning. B Images of the acoustic patterning device. Two pairs of piezo transducers were used to generate ultrasonic standing waves across a petri dish of cells. C Bright-field and confocal fluorescence images of acoustic pattern myoblasts in 3 mg mL1 collagen. 4 mm diameter biopsy cross-section separated over 4 d was stained with calcein (green, viable cell) and ethidium homodimer (red, nonviable cell). Bright-field scale bar, 0.5 mm. Fluorescence scale bar, 200 μm. D Images of mechanical testing with cell lines (top) and tensile Young’s modulus for the orthogonal and parallel configurations (bottom). Testing was applied either orthogonal or parallel to the cell lines. Paired data from seven separate tissues (one-tailed Wilcoxon matched pairs test); **p ≤ 0.01. “Engineering anisotropic muscle tissue using acoustic cell patterning” by Armstrong et al. is licensed and used under CC BY. Excerpt from original

2.3 Vascular network formation with acoustic-based 3D cell culture platform

An acoustic-based 3D cell culture platform has been applied to form a vascular network. Garvin et al. [67] developed ultrasound standing wave field (USWF) technology to form vascularized 3D collagen-based hydrogel with human endothelial cells. To treat cells with USWF, a plastic exposure tank was prepared and filled with degassed, deionized water at room temperature. The acoustic source was a 1 MHz unfocused transducer formed by a 2.5-cm diameter piezoceramic disk [68]. This transducer was located at the bottom of the water tank. Samples were loaded onto cell culture plates with a silicone elastomer bottom. The plates were affixed to a three-axis positioner to allow precise control over their location in the sound field within the tank [67]. Human umbilical vein endothelial cells (HUVECs) in collagen solution were injected onto the culture plate and then exposed to USWF. USWF induced planar bands of endothelial cells in collagen gel. The collagen solution was polymerized during the USWF treatment period. Polymerization preserved the band pattern of endothelial cells after USWF removal. Cell bands were separated at half-wavelength distance for a 1 MHz (750 μm). Additionally, endothelial cells treated with USWF formed anastomosing networks. The effects of various USWF exposure parameters on the initial spatial pattern of endothelial cells within collagen hydrogels were also analyzed [69]. Endothelial cells in collagen gel were treated with two acoustic sources, 1 MHz and 2 MHz. The pattern of endothelial cells was changed by USWF [69]. When endothelial cells in collagen were exposed to 1 MHz, planar bands of cells were observed at pressure amplitudes of 0.1 MPa, and the distance between bands was 750 μm [69]. When cells in collagen gel were exposed to 2 MHz, planar cell bands were observed at pressure amplitudes of 0.08 MPa, and the distance between cell bands was 375 μm [69]. This study demonstrated that USFW could generate vascular networks with endothelial cells in collagen gel and that their spatial patterning could be controlled by the frequency [69]. Consequently, ultrasound-induced spatial patterning of endothelial cells could directly affect the shape of vascular networks.

Multiple transducers and alternative-source geometry allow cells of different spatial patterns to be generated throughout 3D-engineered tissues [70]. Hu et al. performed digital acoustic 3D cell assembly within photo-crosslinked methacrylate gelatin hydrogel sheets [70]. Six digitally controlled waves from interdigital transducers (IDTs) provided a high degree of freedom (wave vector combination, frequency, phase, and amplitude) that enabled versatile biomimetic microcell patterning in hydrogel sheets. IDTs were made from a lithium niobate substrate that showed six-fold symmetry with electromechanical coupling coefficient and sound speed. These IDTs generated uniform surface acoustic waves over a wide range of frequencies that could obtain a uniform acoustic potential structure in the hydrogel layer. The acoustic device was controlled by a cell phone. Through this six-beam-based system, more complex wave vectors and phase relations could be formed compared to traditional acoustic systems. Various biomimetic patterns were formed on each CS by six symmetric wave vector modulations, including functional repeating unit of liver which was hexagonal shaped lobules, a vessel-like tube, and a honeycomb grid within the hydrogel sheet. HUVECs and vascular smooth muscle cells (SMCs) were used to form an in vitro vessel construct. In the 3D view, HUVECs were wrapped inside SMC layers. The fabricated 3D vessel construct was transferred to a culture dish for long-term culture. After 5 days of culture, HUVECs and SMCs proliferated, and cell density in the vessel wall increased. Overall, this digital acoustic 3D cell assembly system could fabricate complex cellular constructs, including vessel networks. Therefore, this digital acoustic 3D cellular construct manufacturing system might have potential applications in tissue engineering.

3 Magnetic-based 3D cell culture platform

Magnetic targeting consists of two components [71]. One is a magnetically responsive carrier, which works by superparamagnetism, where objects are strongly magnetized under a magnetic field and have no remnant or residual magnetization without the magnetic field? [71]. The other is a magnetic field gradient source, such as a magnetic force, that could attract or position magnetic-responsive carriers in organs or tissues [71]. A magnetic field can be generated by the permanent magnets of magnetic bioreactors to produce an oscillating pulse [71]. In magnetic-based 3D cell culture platforms, cells were aggregated by changing the magnetic force [72]. Magnetic fields (called magnetophoresis) can manipulate cells by two different methods: positive magnetophoresis and negative magnetophoresis. Positive magnetophoresis is a way of imparting magnetic properties to cells by labeling them with magnetic nanoparticles (MNPs) [73]. The direct endocytosis of MNPs by cells can induce magnetic sensitivity [74, 75]. MNPs induced cytotoxicity when they were introduced into cells by endocytosis [76]. Several methods have been useful in avoiding cytotoxicity. Using magnetoferritin instead of iron oxide MNPs increased cell viability [77]. Magnetoferritin is a biological MNP made by synthesizing ferritin, an iron storage protein, and iron oxide MNPs [78]. It has low toxicity and high biocompatibility [79, 80]. Another approach is cell surface engineering, where polymerized MNPs are deposited on the cell membrane without permeating the cytoplasm [81]. Thus, cells with magnetic properties could be levitated by an external magnetic force [82]. Positive magnetophoresis could be used to assemble cells to form 3D structures, such as spheroids [77, 83] and CSs [84, 85]. It is a useful tool in platforms for 3D cell culture [73].

Negative magnetophoresis, like positive magnetophoresis, can be a useful technique for assembling cells in three dimensions by levitation [73]. Negative magnetophoresis is a label-free principle-based method that does not label MNPs to cells. It eliminates MNP problems such as cytotoxicity [73]. In this method, cells are contained within a paramagnetic salt solution [86] or ferrofluid [87]. Manganese (II) chloride (MnCl2) [88, 89], gadolinium (III) chloride (GdCl3) [89, 90], or Gd(DTPA) [90, 91] are widely used as paramagnetic salt solutions. They are readily available, relatively inexpensive, and offer the advantage of providing a transparent property for making samples observable [89, 92]. A ferrofluid was developed as a stable magnetic colloid liquid with magnetic properties by the incorporation of magnetic particles [87, 93]. Its magnetic susceptibilities could be controlled by adjusting its concentration, thereby imparting higher magnetic susceptibilities than paramagnetic salt solution [92]. However, due to its opaque property, fluorescent staining was required to observe the sample [94]. Cells with diamagnetic properties exhibited less magnetization than paramagnetic salt solution or ferrofluid, thereby focusing on lower magnetic field regions within the magnetic field [94].

Magnetic-based techniques offer several advantages, including minimal impact on viability, simple and low-cost design, and low sensitivity to environmental parameters, such as ion concentrations and pH [95]. Here, we introduce a magnetic-based 3D cell culture platform.

3.1 CS formation with magnetic based 3D cell culture platform

Upon in vivo transplantation, tissues produced by CS engineering can adhere to the host’s surface without separate suturing. They can also form dense cell-like structures [96], enabling the maintenance of cell–cell interactions for tissue regeneration [97]. CS engineering has been applied to various tissues, such as the heart, bones, bladder, cornea, esophagus, and liver [98], with some successful clinical outcomes [99]. To develop a thick-layered 3D cell structure for bone tissue engineering (TE) purposes, Silva et al. proposed a magnetic-responsive heterotypic CS fabrication (ADSCs/HUVECs/ADSCs) technique called magnetic force-based TE (Mag-TE) [100]. High levels of hierarchically organized bone tissue, such as vascularization, were difficult to reproduce. Therefore, CSs for bone regeneration remains at the initial stages [99, 101, 102]. Successful replacement of engineered bone tissue to defects was depended on rapid and sufficient vascularization in the engineered bone tissue which needed for optimal cell survival and integration to the tissue in vivo [103]. Magnetic-responsive heterotypic CSs enable a thick cellular multilayer structure. First, magnetite Fe3O4 nanoparticles (MNPs) were synthesized by the co-precipitation reaction of ferrous and ferric salts. To form heterotypic magnetic CSs, MNPs were delivered to ADSCs for four hours. MNP-treated ADSCs were then detached and transferred to an ultra-low-attachment culture plate. To provide a magnetic force, commercial neodymium rod magnets were left at the bottom of the reverse side of the culture plate during culture. Twenty-four hours after ADSC plating, HUVECs magnetically labeled by MNPS were seeded onto the previously fabricated ADSC monolayer. Twenty-four hours after HUVEC plating, magnetically labeled ADSCs were seeded once again. Through this procedure, magnetically labeled ADSCs and HUVECs were successfully organized in a triple sheet with HUVECs between two sheets of ADSCs (ADSCs/HUVECs/ADSCs). In osteogenic differentiation with osteogenic differentiation medium, heterotypic CSs showed increased alkaline phosphatase (ALP) activity, matrix mineralization, osteopontin, and osteocalcin. Interestingly, heterotypic CSs caused osteogenesis without an osteogenic differentiation medium. Finally, in vivo angiogenic potential was analyzed using a chick chorioallantoic membrane (CAM) assay. The results showed that endothelialized CSs recruited new vessels to an extent similar to basic fibroblast growth factor (bFGF), and CSs were incorporated into the host tissue. Thus, magnetic forces showed remarkable outcomes in the fabrication of CSs. Heterotypic CSs has been shown to be effective in stimulating in vitro osteogenesis. Furthermore, heterotypic CSs enhanced angiogenesis in in vivo. Therefore, this magnetic-based heterotypic CS fabrication system could be useful in tissue engineering.

Another study on magnetic-based CS formation was conducted by Koto et al. [104]. They fabricated CS using dental epithelial cells (DECs) and dental mesenchymal cells (DMCs) (CC sheets) using magnetic force [104]. In tooth and periodontal tissue regeneration, attempts to regenerate dentin, periodontal ligaments, and alveolar bone have not been successful because dental enamel (DE) regeneration, with its specific developmental process, remains difficult [105, 106]. The formation and maturation of DE are induced by epithelial-mesenchymal interaction, which depends on the relationship between DECs and DMCs [105, 107]. Therefore, Koto et al. fabricated CC sheets with DECs and DMCs by Mag-TE [104]. They obtained MNPs from Nano3D Biosciences and delivered them to DECs and DMCs isolated from the third molar tooth buds of 6-month-old porcine lower jaws [104]. For cytotoxicity assay, MNPs were treated with DECs and DMCs at various concentrations (0, 50, 100, 150, or 300 pg magnetite/cell) [104], and there was no significant change in the absorbance in DECs and DMCs at any concentration (Fig. 5A). To form CC sheets, DECs and DMCs were treated with MNPs (100 pg magnetite/cell) for 6 h. Then, MNP-labelled DMCs were seeded onto 24-well ultra-low attachment cell culture plates, and cylindrical neodymium was placed on the reverse side of the ultra-low-attachment plate for 24 h. Then, MNC-labelled DECs were seeded onto the same culture plate and cultured another 24 h with neodymium. Then, neodymium was removed from the plate. Optical observations showed that CC sheets with multilayered structures were successfully constructed (Fig. 5B). MNPs were distributed over the CC sheet, as confirmed by iron staining (Fig. 5B). And the mRNA expression of AMEL, ENAM, AMBN, Runt-related transcription factor 2 (RUNX2), collagen Iα2 (COL1α2), dentin sialophosphoprotein (DSPP), and collagen IV 1 (COL4 1) in the CC sheet was analyzed (Fig. 5C). Compared to the mixed DEC and DMC sheet, AMEL, ENAM, AMBN, RUNX2, COL1α2, and COL4 1 mRNA expression was up-regulated and COL1α2 and DSPP were not significantly different (Fig. 5C). AMEL, ENAM, and AMBN are known as differentiation markers of DECs that differentiate into ameloblasts [108,109,110,111,112,113]. Finally, in immunofluorescence staining, COL4, which is expressed in the basement membrane of presecretory and late mature-stage tooth germs, was expressed in the middle region of the CC sheet (Fig. 5D). Therefore, these results indicated that DEC and DMC multilayered CS was successfully fabricated via Mag-TE, epithelial-mesenchymal interactions were induced between DEC and DMC layers in the CC sheet, and DECs differentiated into enamel-secreting ameloblasts in the sheet.

Fig. 5
figure 5

Cell sheet formation with dental epithelial cells and dental mesenchymal cells by magnetic nanotechnology. A Cytotoxic effect of MNPs on dental epithelial cells (DECs) and dental mesenchymal cells (DMCs) assessed by MTS assays. MNPs at 0, 50, 100, 150, or 300 pg magnetite/cell were added to the cells at confluency. After the cells were maintained for 24 h in the presence or absence of MNPs, the MTS assay was performed; p > 0.05, ANOVA. B Microscopic observation of a CC sheet after iron staining (× 200). The filled arrows indicate MNPs in the DEC layer. The white arrows indicate MNPs in the DMC layer. Scale bar = 20 μm. C mRNA expression levels of AMEL, ENAM, AMBN, RUNX2, COL1α2, DSPP, and COL4α1 in the CC sheet analyzed by real-time RT-PCR. A mixture of DEC and DMC sheets prepared separately was used as the control. Real-time RT-PCR data were normalized to the expression levels of β-actin mRNA. Independent experiments were repeated twice. The data represent the mean ± SD of triplicate samples; * p < 0.05, ** p < 0.01. D Fluorescence microscopy observation of a CC sheet (× 200). 4,6 diamidino-2-phenylindole (DAPI) (blue) was used to stain the nuclei (left). COL4 was stained with a specific antibody. COL4-expressing cells (green) were identified around the border of the DEC and DMC layers (middle, right). Scale bars = 20 μm. “Porcine dental epithelial cells differentiated in a cell sheet constructed by magnetic nanotechnology” by Koto et al. is licensed and used under CC BY. Excerpt from original

3.2 Spheroid modulation with magnetic based 3D cell culture platform

Microfluidics [114,115,116], polymer matrices [117, 118], HD [119,120,121,122], and centrifugation [123,124,125] are utilized to make spheroids. However, these methods have several limitations, including difficulties in changing the culture media, limited cell suspension volume, expensive special plates for spheroid formation, and difficulties in scaling up these methods [4]. Additionally, an external force used as a mechanical stimulus could affect the behavior of cells during and after spheroid formation. In some methods, such as HD, an active force for cell contact and aggregation is not enough [121] and could limit the spatial control of the cells and delay the spheroid formation process. As mentioned earlier, magnetic fields show the potential for the indirect application of forces onto magnetically labeled cells with spatial and temporal control [126]. Jafari et al. reported that different shapes and sizes of 3D cellular aggregate formation were induced by utilizing various magnetic field configurations [126]. The authors used magnetic particle (MP)-labeled NIH 3T3 fibroblasts and 3T3-L1 preadipocytes. Cylindrical permanent magnets were used under the culture plates (Fig. 6A) to produce uniform and stable cell spheroids, providing a sufficient active force for enhancing cell–cell interactions and reducing the formation time of cell spheroids (Fig. 6B). This method produced highly dense and more symmetric spheroid structures compared to the commonly used centrifugation method. Magnetic force and centrifugation were applied to the cells, enhancing the formation of spheroids. The fusion of spheroids occurred due to magnetic forces. Two or four spheroids were seeded into a single well, with a magnet located under the plate. Spheroid fusion then occurred, and some cells migrated from one spheroid to another after 24 h (Fig. 6C). Experiments were also conducted to form spheroids of different shapes based on the presence of magnetic forces. A ring-type magnet was placed for 24 h and then removed. The constructs retained their shape when they were exposed to magnetic fields for up to 24 h. When the magnet was removed, aggregates began to remodel and change shape into rod-like or doughnut shapes, which was dependent on the number of spheroids initially used. In summary, magnetic fields could manipulate spheroid formation and structure (Fig. 6D) [126].

Fig. 6
figure 6

Remote control of the formation of uniform 3D cell constructs using magnetic forces. A FEMM simulation results showing the magnetic field generated by M21 (D = 2 mm, h = 1 mm) magnets under flat- (top) and round-bottom (bottom) plates. The color map varies from 0.2 × 10–5 to 0.2 T. B Formation of 3T3-L1 cell spheroids in the presence (+ MF) and absence (− MF) of a magnetic field applied after different times in culture (scale bars: 300 μm). C Fluorescence image from two merged spheroids after 24 h of culture. 3T3-L1 spheroids were first stained with red and green CellTrackers, separately and then cultured together for 24 h in the presence of MF. The nuclei were stained with DAPI (blue) and visualized by fluorescence microscopy (scale bar: 100 μm). D Inverted microscopy images after fusion of 5 (sample 1) and 10 (sample 2) 3T3-L1 cell spheroids on ring magnets (R211) for 24 h (scale bar: 200 μm). “Remote control in formation of 3D multicellular assemblies using magnetic forces” by Jafari et al. is licensed and used under CC BY. Excerpt from original

3.3 Self assembled 3D cell cultures with magnetic based 3D cell culture platform by magnetic levitation

In general, MSCs are isolated from bone marrow (BM) and cultured as 2D monolayers [127]. However, the 2D-culturing of MSCs induces the loss of differentiation potential and senescence after several generations [128, 129]. And quiescence and multipotency, which are stem cell properties, were lost during culturing [130]. The microenvironment in which MSCs reside is important for maintaining MSC function and preventing differentiation [131]. MSCs niche which termed MSCs reside in a protective site in the BM, and the BM environment is essential for maintaining the MSC phenotype [127]. Lewis et al. fabricated MSC multicellular spheroids with magnetic nanoparticles and implanted them into collagen gel, which had a stiffness similar to the in vivo BM microenvironment, to maintain MSC properties by magnetic levitation [127]. Collagen type I is located on the endosteal surface and endosteal marrow, which is a stem cell niche site and abundant in BM [132]. MSCs were seeded in 24-well culture plates to make MSC spheroids. After 24 h of culture, the MSCs were treated with green fluorescently labeled magnetic iron oxide (FeO3) at 0.1 mg/mL and incubated for 30 min directly above a magnetic plate to enhance cell internalization. The cells were detached from the plates with trypsin and transferred to a 6-well plate, with a single neodymium magnet located above each well for inducing cell aggregation. In this condition, spheroids formed within 24 h. Transmission electron microscopy showed nanoparticles successfully internalized into MSCs, and scanning electron microscopy confirmed MSC spheroid formation with spherical structures (Fig. 7A). After spheroid formation in 24 h of culture, the spheroids were transferred to a 24-well plate, and a collagen gel solution was added. The culture plate was incubated at 37 °C for gelation. A magnet was placed over each well for the first 24 h. After 7 days of culture, stem cell marker expression was analyzed by immunohistochemistry (Fig. 7B). MSCs cultured in a monolayer were used as controls. MSCs in the spheroid form maintained STRO-1 expression and increased nestin and SDF1-α expression compared to monolayer-cultured MSCs (Fig. 7B). STRO-1 is a marker used to isolate MSC colony-forming units [133]. STRO-1 expression in the spheroids suggested that the spheroid system prevented differentiation and sustained the stem cell population as it would be in the BM. Nestin is a cytoskeletal component that hematopoietic stem cells (HSC)-supportive subset of MSCs in the BM [134]. SDF1-α is homing factor correlated with HSC mobilization and homing to the BM niche [135]. Enhanced nestin and SDF1-α expression suggested that this spheroid culture system was similar to the in vivo niche. Finally, the cell cycle of MSCs cultured in spheroid was analyzed by gene expression (Fig. 7C) on days 1 and 14. The genes shown in the graph were associated with the cell cycle. The fold-change in gene expression in MSC spheroids was normalized to the expression in monolayer-cultured MSCs. Interestingly, gene expression in the MSC spheroids was downregulated on day 1 and decreased on day 14, indicating that the cell cycling of MSCs in spheroid forms progressed slowly (Fig. 7C). Decreased cyclin C in spheroids indicated that more cells remained in the G0 phase. D1 and D2 cyclin expression was lower in the spheroids on day 1 and recovered on day 14, cyclin D expression was increased on day 1 and decreased on day 14, CDK4 expression was decreased on day 1 and increased on day 14, and CDK6 expression was decreased on days 1 and 14. This indicated that insufficient cyclin D accumulation induced the cells to leave the G1 phase and enter the S phase. Cyclin E2 expression was downregulated in the spheroids on days 1 and 14, and CDK2 expression was increased on day 1 and decreased on day 14, indicating that a small number of cells had entered the S phase. In conclusion, MSC spheroids were successfully fabricated with magnetic forces, and this spheroid culture system with type I collagen gel was a potential in vitro BM stem cell niche platform.

Fig. 7
figure 7

Multicellular MSC spheroids in a magnetic-based 3D culture system cultured in collagen gel to maintain phenotype and quiescence. A Transmission electron micrographs clearly indicate nanoparticles located in vesicles within the cell cytoplasm (top), while scanning electron micrographs show the general morphology and dimensions of the multicellular MSC spheroids (bottom). The top arrows indicate nanoparticles within vesicles. The bottom arrows indicate cellular projections. B Immunohistochemistry was performed on MSCs grown in either monolayers or spheroid culture systems for 7 days. DAPI (blue) = DNA/nuclei, TRITC (red) = phalloidin (actin); fluorescein isothiocyanate (FITC) (green) = STRO-1, nestin or SDF1-α, respectively. Scale bars = 200 µm. C Analysis of cell cycle gene expression in spheroids. Cell cycle gene analysis of spheroids on day 1 and day 14 normalized to the corresponding monolayers. The graph shows the expression of cyclins and cyclin-dependent kinases involved in the cell cycle process. The graph shows the fold-change in gene expression identified by delta-delta-Ct (DDCT) analysis in spheroids compared to monolayer culture. CCN = cyclin and CDK = cyclin-dependent kinase; n = 3, technical replicates. “Magnetically levitated mesenchymal stem cell spheroids cultured with a collagen gel maintain phenotype and quiescence” by Lewis et al. is licensed and used under CC BY. Excerpt from original

Magnetic levitation can be induced by positive or negative magnetophoresis [136]. However, positive meganetophoersis, such as the magnetic bead-labeling technique, can only affect the surface of a subject without inducing weightlessness [75, 137]. In contrast, negative meganetophoersis can mimic weightlessness [107]. With negative magnetophoresis, the gravitational force on the subject can be compensated by the counteracting force and induce weightlessness. Anil-Inevi et al. [136] used this magnetic levitation technique with negative magnetophoresis for long-term levitated cell culture and fabricated a 3D in situ cellular assembly model. A gadolinium (Gd3+)-based solution was used to induce cell levitation because it was inexpensive. In addition, it could induce the assembly of ex-situ spheroids [138, 139]. The magnetic levitation platform in this experiment consisted of two high-grade (N52) neodymium magnets [136]. The two magnets were located at a distance of 1.5 mm from the same pole, facing each other, and there was a microcapillary channel between the two magnets. There were also mirrors at 45° for real-time inverted microscopy imaging. The magnetic levitation device consisted of a photoreactive resin printed using a 3D printer (Fig. 8A). As the magnetic susceptibility of the cells and surrounding paramagnetic medium was different, cells suspended in the paramagnetic medium moved away from a high magnetic field, such as a magnet close to the magnets in a low magnetic field. Until the cells reached an equilibrium position, buoyancy (Fb), fluidic drag (Fd), inertial (Fi), and magnetic forces (Fmag) affected the cells (Fig. 8A). When the cells were close to the equilibrium position, the velocity of the cells, and thus Fi and Fd, decreased. Therefore, the cells levitated at the position that Fb and Fmag equilibrate in opposite directions. The concentration and composition of the Gd3+-based solution were optimized for weightlessness culturing to test self-assembled 3D cell cultures with magnetic levitation. Various types (Gd-DOTA, Gd-DTPA, Gd-DTPA-BMA, Gd-BT-DO3A, and Gd-BOPTA) and concentrations (0, 10, 25, 50, 100, and 200 mM) of Gd-based solutions were used to treat D1 ORL UVA, a BMSC stem cell line and MDA-MB-231 cells, and the location of the cells from the bottom of the capillary after 10 min of levitation was analyzed to find the lower concentration of Gd3+ that induced cell levitation and reached steady-state (Fig. 8B). Cell levitation height was increased with increasing concentrations (Fig. 8B). Through cell viability determinations 72 h after Gd-based solution treatment and levitation assays, 100 mM Gd-BT-DO3A treatment was chosen for the levitation experiments because it offered greater levitation height and cell viability. Then, the effect of cell number on the morphology of cell clusters formed under microgravity conditions was investigated. After 5000, 50,000, and 500,000 cells were levitated for 48 h, their morphology was analyzed. After 24 h, the area, perimeter, elongation, thickness, and length of the cellular constructure were not significantly different. However, after 48 h, when cell numbers had increased, these parameters also increased. Finally, the self-assembly of different cell types with magnetic levitation was evaluated with D1 ORL UVAeGFP (green) cells and MDA-MB-231dsRed (red) cells. Before biphasic cluster formation, D1 ORL UVAeGFP cells and MDA-MB-231dsRed cells were utilized separately for levitated 3D clusters and analyzed. D1 ORL UVAeGFP and MDA-MB-231dsRed 3D clusters showed similar levitation heights. However, MDA-MB-231 clusters had larger area, perimeter, elongation, and length than D1 ORL UVA cells. For biphasic assembly, D1 ORL UVAeGFP cells and MDA-MB-231dsRed cells were loaded with different L1, L2, and L3 strategies. With L1, D1 ORL UVAeGFP cells and MDA-MB-231dsRed cells were simultaneously loaded. With L2, MDA-MB-231dsRed cells were loaded onto D1 ORL UVAeGFP cells. With L3, D1 ORL UVAeGFP cells were loaded onto MDA-MB-231dsRed cells. With the L1 strategy, cells showed completely random positions in the cluster (Fig. 8D). With the L2 strategy, MDA-MB-231dsRed cells were loosely distributed on the surface of D1 ORL UVAeGFP cells (Fig. 8D). Interestingly, with the L3 strategy, patterned clusters formed, with D1 ORL UVAeGFP cells aggregated and located in gaps within MDA-MB-231dsRed clusters. In summary, the magnetic levitation system with Gd was a fast and convenient method to simulate microgravity conditions. This multitype cellular cluster assembly method could also be utilized in biomedical studies.

Fig. 8
figure 8

A Photograph of the magnetic levitation platform and schematic of the device, illustrating forces acting on cells until equilibrium: fluidic drag force (Fd), inertial force (Fi), buoyancy force (Fb), and magnetic force, Fmag, and at the equilibrium position, Fmag and Fb. A A microcapillary channel, in which cells are levitated and cultured, was placed between two permanent neodymium magnets whose same negative poles were facing each other. Mirrors were placed at each open side of the channel at 45° and used to visualize cells in the channel using conventional microscopy systems. B Micrographs of levitated cells after 10 min of levitation in medium containing Gd-BT-DO3A at varying concentrations (0, 10, 25, 50, 100, and 200 mM). The lines show the upper level of the levitated cell population. Scale bar: 200 μm. C 3D cellular organization of D1 ORL UVA cells under microgravity. C Cellular assembly of D1 ORL UVAeGFP and MDA-MB-231dsRed cells under microgravity. Scale bar: 200 μm. “Biofabrication of in situ self-assembled 3D cell cultures in a weightlessness environment generated using magnetic levitation” by Anil-Inevi et al. is licensed and used under CC BY. Excerpt from original

4 Challenges and future perspective

As reviewed in this article, acoustic and magnetic technologies can be integrated with 3D cell culture systems and used efficiently to build 3D models, such as cell spheroids. However, some challenges must be considered before they can be used as more advanced technologies in life science fields.

One of the factors that should be considered when using the acoustic-based 3D cell culture platform for cell culture is temperature control [140]. SAWs can increase the temperature of the culture environment within devices [141,142,143,144,145] due to mechanical damping and the Joule effect [146]. Therefore, it is important to set SAW parameters within appropriate ranges so that the resulting temperature increase in the culture environment does not affect cell viability. Several studies reported the optimal parameters of acoustic systems for reducing cell damage [147, 148]. However, it is difficult to apply the optimal parameters of one system to other systems since the parameters were optimized for specific systems. Thus, investigating more standardized parameters would help to broaden the use of acoustic systems in biological fields [35].

The biocompatibility of materials used in magnetic technologies should also be considered when the technologies are applied to cell culture. In the case of positive magnetophoresis, labeling cells with MNPs can cause cytotoxicity [76] or unintended cellular responses [149], as described above. To avoid the bio-incompatibility issues of MNPs, negative magnetophoresis using paramagnetic salt can be chosen. However, a highly concentrated paramagnetic salt solution, which is required for effective magnetophoresis due to the low magnetic susceptibility of paramagnetic salt, can induce cell dehydration through osmotic pressure [150, 151]. Therefore, further studies on the biocompatibility of MNPs and optimization of paramagnetic salt solutions should be performed.

Acoustic and magnetic technologies are widely used in the fields of biology and medicine. In terms of tissue engineering, acoustic technologies have shown the potential to overcome the limitations of 3D bio-printing. 3D bio-printing cannot fabricate tissues with high cell densities and physiologically required structural complexity. In contrast, acoustics act on hydrogel-located cells and arrange the cells into desired structures, creating biomimetic tissue structures with high cell densities [152]. Acoustic holography [153, 154] and acoustic vortex [155] techniques could be introduced to pattern more complex structures. Also, various 3D bio-printing and acoustic technologies have been integrated with each other to further improve the mimicking of living tissue [152]. This will lead to the development of tissue engineering, as well. Similarly, magnetic technology has also been incorporated and utilized in 4D bio-printing. Tissue constructs consisting of alternate stacking on unidirectionally aligned collagen fibers by magnetic properties and randomly arranged collagen fibers exhibited improved cartilage potential [156]. Magnetic fields have also been used to modulate cellular behaviors, such as mitochondrial dynamics, gene expression, and cytoskeletal assembly, by manipulating intracellular superparamagnetic nanoparticles [157,158,159]. In this context, we could expect the development of remote magneto-genetic switches for tissue engineering from further studies of magneto-genetics [160].

5 Conclusion

The 2D culture method shows major limitations, including dissimilarity with natural tissue forms without mimicking the in vivo microenvironment. Therefore, 3D cell culture is important for tissue engineering. Scaffold-free 3D cell culture methods, including hanging drops and forced floating methods, show the drawbacks of being labor-intensive and time-consuming. Therefore, external physical stimulation, such as acoustic and magnetic force-based 3D cell culture platforms, have been developed. Acoustic, magnetic force-based 3D cell culture platforms require less labor. Various 3D cell types, such as spheroids, cell fibers, and vascular networks, can be successfully formed by acoustic wave or magnetic field-based 3D cell culture platforms. These cells showed enhanced behaviors and formed 3D cell aggregates in a short time. Based on improved cell aggregate biological abilities, a physical stimuli-based 3D cell culture platform could be a promising tool for tissue engineering.