Understanding the way cells interact with one-dimensional nanomaterials is important for creating safer biomedical diagnostics and therapies
9,10, and for regulating occupational and environmental exposure
1,3,11. One-dimensional structures represent an important class of nanomaterials, whose cellular interactions are particularly complex and have been associated with the induction of inflammation, fibrosis and malignant mesothelioma
1–3,11,12. Incomplete or frustrated phagocytosis of long, rigid biopersistent asbestos fibres or carbon nanotubes is hypothesized to lead to prolonged generation of reactive oxygen species, leading to the release of inflammatory mediators, cell death
11,13 and to DNA and chromosomal damage in target cells of the lung and pleura
12,14. DNA and chromosomal damage induced by asbestos fibres or carbon nanotubes may contribute to the development of lung cancer and malignant mesothelioma following inhalation
11,12.
Fibre–cell interaction begins with membrane contact, adhesion and uptake. Biophysical models have been developed for the endocytosis or phagocytosis
4–8,15 of nanoparticles, including models for the treatment of elliptical particles
5,15. Here we focus on one-dimension nanomaterials, that is, those with a very high aspect ratio, focusing on the important case of cylindrical symmetry, which includes carbon nanotubes, asbestos fibres and gold nanowires. In previous studies
3, and in our preliminary studies using
in situ spinning disk confocal microscopy with dual fluorescence and polarized light imaging, multi-walled carbon nanotubes (MWCNT) were observed to enter cells tip first, but the mechanism was unclear, because optical microscopy offers insufficient resolution to reveal nanostructural features at the tube–membrane interface. Here we use
ex situ field-emission scanning electron microscopy (SEM) following fixation and contrast enhancement with osmium tetroxide to obtain nanoscale resolution. We focus on liver cells and mesothelial cells because they are important targets for carbon nanotube exposure following intravenous injection
1,16,17, or inhalation and translocation to the mesothelial lining of the pleural space surrounding the lungs
17.
shows electron micrographs of common morphologies in the near-membrane region following
in vitro cell exposure to one-dimensional nanomaterials. Carbon nanotubes undergoing active entry are primarily found protruding at a high angle (), consistent with our preliminary polarized light confocal images. shows high-magnification images of the nanotubes at the point of entry showing invagination of the plasma membrane and the absence of a protruding phagocytic cup, which are characteristic morphological feature of endocytosis. An endocytic entry mechanism is not surprising, as neither of these cell types is a professional phagocyte, and the MWCNT tips have diameters of 50–100 nm, which is within the favourable size range for receptor-mediated endocytosis of particles
4. To determine whether uptake of carbon nanotubes is mediated by energy-dependent endocytosis, murine liver cells were incubated at either 4 °C or 37 °C. Internalization of carbon nanotubes was significantly decreased at 4 °C (). In the presence of metabolic inhibitors, uptake of carbon nanotubes was also significantly decreased () confirming that this uptake requires adenosine triphosphate (ATP) (
Supplementary Figs 1, 2).
In addition to the structures in , we observe nanotubes lying flat on the membrane, but these show no visible signs of active uptake or membrane response (
Supplementary Fig. 3a). Uncommon structures include nanotubes entering at low angle or lying flat with active membrane wrapping in the horizontal configuration (
Supplementary Fig. 3b). Tip entry is observed to be the dominant uptake mode, not only for MWCNTs, but also for other one-dimensional materials tested here (), amine-terminated gold nanowires and crocidolite asbestos fibres.
We became interested in the fundamental question of why tip entry is the preferred mode of cellular uptake. Based on previous modelling of endocytosis for spheres, we hypothesized that nanotube tips with closed, rounded caps can mimic particles and initiate endocytosis, and that elastic strain in the plasma membrane provides a driving force to rotate one-dimensional nanostructures from their initial angle of contact to high angles that minimize total membrane elastic energy. To test this hypothesis, we began coarse-grained molecular dynamics (CGMD) simulations of receptor-mediated endocytosis of capped MWCNTs entering through a dipalmitoylphosphatidylcholine (DPPC) model lipid bilayer (). The simulation includes a population of diffusible membrane-bound receptors. The specific receptors that may recognize high-aspect-ratio nanoparticles include Class A or Class B scavenger receptors that are expressed primarily on macrophages and bind asbestos fibres
18 as well as MWCNTs
19. Other receptors expressed by epithelial cells that bind to MWCNTs include lectin receptors
20, a variety of which are known to be expressed by liver cells
21,22. Asbestos fibres also bind vitronectin, a serum protein that binds to negatively charged surfaces and is recognized by integrin receptors on both mesothelial
23 and lung epithelial cells
24.
For the initial simulations, a capped MWCNT was initially positioned in close proximity above the surface of a bilayer with 16,326 lipids and receptors with dimensions of 100 nm × 100 nm. The initial angle between the axis of the MWCNT and the bilayer was
θ0 = 45°, and a range of receptor densities,
![[var phi]](/corehtml/pmc/pmcents/x03C6.gif)
, were considered. As shown in , when
![[var phi]](/corehtml/pmc/pmcents/x03C6.gif)
= 0.25, the receptors (green) diffuse along the bilayer and aggregate around the MWCNT due to binding affinity. As the receptors cluster and adhere to the MWCNT surface, the tube is pulled into the bilayer and wrapped. In this process the tube is observed to rotate to achieve an entry angle close to 90°. Rotation towards vertical alignment has also been reported by Yang and Ma
7 in simulations of transmembrane diffusion of ellipsoidal nanoparticles. The present result shows similar behaviour for receptor-mediated entry of one-dimensional nanomaterials, and we will show shortly that the rotation is driven by membrane elastic energy minimization during wrapping.
shows that at a higher receptor density of
![[var phi]](/corehtml/pmc/pmcents/x03C6.gif)
= 0.33, the MWCNT becomes fully wrapped before it reaches the 90° entry angle. Generally, increasing the receptor density leads to increasing arrival flux of receptors at the tube surface (
Supplementary Figs 4, 5 and discussion). In the extreme case of
![[var phi]](/corehtml/pmc/pmcents/x03C6.gif)
= 1, in which the adhesion loses specificity, the membrane on the right side of the nanotube adheres to the tube much faster than that on the left side (), and the MWCNT adopts a very small entry angle. This can be understood from the fact that, for non-specific adhesion, the right-side membrane has the advantage of being initially closer to the tube surface and dominates the early-stage receptor binding before rotation can occur. These simulations reveal two competing kinetic processes: rotation of the tube toward a 90° entry angle to relax elastic energy in the membrane, and wrapping speeds on different sides of the tube governed by receptor diffusion. If the former prevails, as would be expected at relatively low receptor densities, the final entry angle will be close to 90°. Note that the extreme case of non-specific interactions shown in is an interesting theoretical limit, which is not expected to be important for a real cellular system.
We repeated the simulations for different MWCNT diameters and lengths, receptor densities, receptor binding strengths and initial entry angles,
θ = 15° or 85°, and the results show that the tube still adopts a 90° entry pathway (
Supplementary Figs 7–11). Further additional simulations show that the tip-entry mechanism is essentially unchanged if the hemispherical caps are replaced by enlarged shells typical of catalytically produced MWCNTs (as in , centre), or if the nanotubes exist in suspension as small bundles (
Supplementary Figs 6, 11). Interestingly, we observe that open-ended nanotubes do not undergo tip entry because they lack carbon atom sites for receptor binding on the cap in the early stages of wrapping (
Supplementary Fig. 6c).
These CGMD simulations suggest that a biophysical mechanism drives the tip-entry pathway for cellular uptake of MWCNTs. The simulations further suggest that the steady-state entry angle is determined by the competition between speed of tip rotation and that of receptor binding to side walls during uptake. As a result of the well-known limitations of molecular dynamics simulations, the wrapping timescale in a real cellular system cannot be reached (on the scale of minutes), even though, in the present CGMD simulations, the wrapping speed has already been accelerated by choosing relatively high receptor densities as well as smaller model receptors with faster diffusivity (see
Supplementary Information). In addition, the viscosity of the cell cytosol, which could be orders of magnitude larger than that of the extracellular matrix
25 and can greatly influence the rotating speed of MWCNT, is not correctly captured by the CGMD model. In this sense, the timescales in our CGMD simulations can only be used in a qualitative sense to gain insights into the tip-entry mechanism.
It would be useful to have a simple analytical model to complement the simulations and reveal fundamental scaling laws. Here, we develop a simplified model that is amenable to analytical solutions, following previous studies on receptor-mediated endocytosis
4. It has been shown
4 that the time for receptor-mediated wrapping of a CNT can be expressed as
tw =
Lid/4
α2D, where
D is the diffusivity of receptors in the membrane,
d is the tube diameter,
Li is the length of the tube that has been wrapped into the membrane, and
α is a ‘speed factor’ (see Methods). Taking typical parameter values as
D ≈ 1 × 10
3–1 × 10
4 nm
2 s
−1,
eRL = 15,
B = 20,
ξL = 5,000 μm
−2,
![[Xi w/ tilde]](/corehtml/pmc/pmcents/x03BEx0303.gif)
= 0.1,
d = 20 nm (ref.
4), the predicted wrapping time is shown in as a function of the engulfed length of the MWCNT. The results show that 20 s will be needed to take in a 30-μm-long nanotube for
D = 1 × 10
4 nm
2 s
−1 (, blue line) and 200 s for
D = 1 × 10
3 nm
2 s
−1 (, red line).
The tip rotation of a MWCNT during uptake is attributed to a torque T exerted by the curved bilayer on a partially wrapped tube and resisted by viscous drag on the rotating MWCNT in the extracellular and intracellular spaces (see Methods for derivation). shows the calculated dynamics of MWCNT rotation during uptake at different values of initial entry angle θ0. It is seen that the MWCNT adjusts to a steady-state entry angle within a few seconds. The decreasing slope of the evolution profile indicates that the speed of tip rotation decreases as the tube is wrapped into the cell. For low initial entry angles (for example, θ0 = 15°), the slope of tip-angle evolution is larger than that at high entry angles (for example, θ0 = 75°), indicating that the rotational speed is entry angle dependent, which is consistent with our CGMD simulations. At very small initial entry angles, such as θ0 = 1°, the MWCNT exhibits a strong tendency to rotate to a large entry angle. Compared to the characteristic timescale for full uptake (~20–200 s), the timescale for tip rotation (4 s) is one or two orders of magnitude smaller. Because the tip rotation is much faster than overall wrapping, tip entry is a favourable pathway for cellular uptake of capped MWCNTs.
The above simulation results and analysis support our experimental observations of tip entry, but the analysis has been limited to finite positive initial angles of attack. In the extreme case of 0° approach, in which case the entire sidewall of a MWCNT comes into contact with the membrane at once, the nanotubes seem to attach to the membrane without visible signs of active uptake, as shown in
Supplementary Fig. 3a. We propose that this phenomenon is due to receptor depletion caused by the large contact area. Following previous studies on receptor-mediated endocytosis
4, for a membrane patch 20 μm in length, the maximum diameter of MWCNTs that can be fully wrapped is ~64 nm, when the ratio between receptor density and binding sites on MWCNTs is taken to be
![[Xi w/ tilde]](/corehtml/pmc/pmcents/x03BEx0303.gif)
= 0.01. Therefore, the receptors can be easily depleted by a 0° wrapping due to the large contact area. The receptor depletion would become even more pronounced in the presence of bundles or ensembles of MWCNTs in horizontal contact with cell membrane patches (
Supplementary Fig. 3a).
We note that the tip-entry mode provides a natural physico-mechanical explanation for incomplete endocytosis or frustrated phagocytosis, which plays an important role in human health risk. Why do cells initiate uptake of one-dimensional structures that are in fact too long for complete internalization? In our model, receptor clustering at the rounded tube caps initiates uptake of what appears to be a particle, followed by a relatively rapid strain-induced transition to vertical or near-vertical fibre alignment. This vertical geometry provides no opportunity for the cell membrane to sense or anticipate the ultimate length of the fibrous target material. If the target fibre is too long for successful internalization and subsequent packaging in endosomes, then the initial wrapping and intake will lead inevitably to incomplete endocytosis.
A mechanistic link between incomplete uptake of high-aspect-ratio nanoparticles and length-dependent toxicity has been proposed by Hamilton
et al.26 In macrophages exposed to TiO
2 nanorods, incomplete uptake of long nanorods (>15 μm) resulted in a failure to sequester nanorods within lysosomes. Subsequently, release of cathepsin B—a lysosomal protease—activates the NALP3 inflammasome and production of proinflammatory mediators. Disruption of the normal process of endosomal–lysosomal fusion has also been shown to lead to cell death by apoptosis following activation of caspase-1 by cathepsin B in macrophages following exposure to asbestos fibres
27. Incomplete endocytosis of high-aspect-ratio nanoparticles by liver cells can similarly lead to failure of sequestration into lysosomes, with subsequent physical interference with cytoskeletal-mediated processes, including protein and lipid secretion and biliary transport.
Finally, our modelling work suggests that open-tipped tubes exhibit a very different mode of membrane interaction. Intelligent tip modification may provide new approaches in the future to engineer one-dimensional nanomaterials for cell delivery, or to avoid frustrated uptake and achieve material safety by design.