The lack of tools to measure material properties and tensional parameters in vivo prevents validating their roles during development. We employed atomic force microscopy (AFM) and nanoparticle-tracking to quantify mechanical features on the intact zebrafish embryo yolk cell during epiboly. These methods are reliable and widely applicable avoiding intrusive interventions.
Elucidating the factors that direct the spatio-temporal organization of evolving tissues is one of the primary purposes in the study of development. Various propositions claim to have been important contributions to the understanding of the mechanical properties of cells and tissues in their spatiotemporal organization in different developmental and morphogenetic processes. However, due to the lack of reliable and accessible tools to measure material properties and tensional parameters in vivo, validating these hypotheses has been difficult. Here we present methods employing atomic force microscopy (AFM) and particle tracking with the aim of quantifying the mechanical properties of the intact zebrafish embryo yolk cell during epiboly. Epiboly is an early conserved developmental process whose study is facilitated by the transparency of the embryo. These methods are simple to implement, reliable, and widely applicable since they overcome intrusive interventions that could affect tissue mechanics. A simple strategy was applied for the mounting of specimens, AFM recording, and nanoparticle injections and tracking. This approach makes these methods easily adaptable to other developmental times or organisms.
The physical principles underlying the biomechanical control of morphogenetic processes are largely undefined. While biomechanical studies at the molecular and cellular level are gathering considerable momentum, the exploration of biomechanical parameters at the tissue/organism level is at its infancy. Hydrodynamic Regression1 or Video Force Microscopy2 allow researchers to distinguish active and passive forces, while laser microsurgery3, or the less intrusive atomic force microscopy (AFM) of dissociated cells4 or in vivo5 or nanoparticle microrheology6 allow the anticipation of a tissue's mechanical properties and responses.
AFM is a three-dimensional topographic technique with high atomic resolution resolving surface roughness and compliance from the deflection of cantilever tips upon contact with a probed surface7. Different methodologies employing AFM have been developed to investigate surface properties, including measuring friction, adhesion forces, and viscoelastic properties of diverse materials. Recently, AFM has emerged as a powerful tool to retrieve information on the mechanical properties of biological samples. In particular, AFM can non-invasively extract the complex shear modulus from single cells by applying oscillatory indentations with a micro tip attached to a cantilever of known bending constant8. This lets us infer resulting forces. Yet, AFM is not unique and different methodologies allow extracting rheological data and mechanical properties from individual cells (e.g., Micropipette aspiration9, magnetic twisting cytometry (MTC)10, or uniaxial tensile testing11).
Yet, the application of these novel methodologies to complex morphogenetic processes is not straightforward. The main challenges faced when determining the mechanical properties of embryonic tissues are the small (µm to mm), soft (in the 102 – 104 Pa range) and visco-elastic (giving rise to time-dependent phenomena) nature of the material12. It is therefore important to adapt the methods employed for the determination of mechanical properties (stiffness, viscosity, adhesion) to the specific case of embryos and developing organisms. Two important issues need to be taken into consideration when analyzing rheological approaches to study development: to avoid intrusive interference and to provide easy accessibility. In this scenario, micropipette aspiration, MTC, and tensile testing exhibit limitations. In the first case, the high deformation that a cell suffers might alter its physiological and mechanical properties9. In the second case, the need to firmly adhere the experimental tissue to a substrate to ensure that the stresses applied deform the cytoskeleton locally could also introduce effects on the cells' activation state and, hence, in their mechanical features10. Last, uniaxial tensile approaches are limited by the geometry of developing organisms and accessibility11.
AFM seems to be better suited for the study of developmental processes as it allows the study of biological samples directly in their natural environment without any cumbersome sample preparation. Moreover, as dissociation of embryonic tissues is generally difficult, the reduced size of AFM probes provides a high degree of versatility with no limitation in the choice of the type of medium (either aqueous or non-aqueous), sample temperature, or chemical composition of the sample. AFM is versatile enough to be applied to large domains and time scales and has been employed to retrieve material properties of tissues in distinct developmental stages or physiological conditions. Whole native tissues such as arteries13 or bones14 have been studied from a topographical point of view and in some cases, like the sclera, mechanical properties have also been retrieved15. Topography has also been explored in live embryos allowing the visualization of, for instance, cell rearrangement during morphogenesis in Xenopus16. Last, comprehensive sample preparation protocols have been developed to determine mechanical parameters during different developmental processes. Nanoindentation maps have been generated on native unfixed tissue sections for the chick embryonic digestive tract11; adhesive and mechanical properties retrieved for individual ectoderm, mesoderm, and endoderm progenitor cells isolated from gastrulating zebrafish embryos4; stiffness measurements performed for the epiblast and primitive streak on explants from avian embryos17; and a distinct pattern of stiffness gradients directly defined in the embryonic brain of Xenopus5.
A significant qualitative leap for applying AFM for exploring embryonic development may come from approaching simple accessible morphogenetic processes. Zebrafish epiboly is an essential and conserved event, in which different tissues coordinate in a restricted spherical space to direct the expansion of the blastoderm in a few hours. At the onset of zebrafish epiboly (spherical stage), a superficial layer of cells, the enveloping layer (EVL), covers a semi-spherical cap of blastomeres centered on the animal pole of the embryo sitting on a massive yolk syncytial cell. Epiboly consists of the cortical vegetal ward expansion of the EVL, the deep cells (DCs) of the blastoderm, and the external layer of the syncytial yolk cell (E-YSL) around the yolk. Epiboly ends with the closure of the EVL and the DCs at the vegetal pole18,19,20. How and where forces are generated during epiboly and how they are globally coupled is not yet clear1,21.
Here we describe in detail how to apply AFM to infer passive mechanical tissue properties during epiboly progression in the zebrafish yolk cell in vivo. To do so, we employed small microspheres attached to AFM cantilevers as probes. This allows the retrieval of precise local information within the non-uniform yolk cell surface and to study tensional gradients and their dynamics over time. Alternative AFM approaches such as those using wedge cantilevers22, will not render local data that is precise enough. The wedge technique, which requires very careful manipulation skills to glue a wedge larger than the sample size at the end of the cantilever, is not well suited for probing embryo (~2-fold larger than the length of the cantilever) mechanics.
Modeling and characterizing the viscoelastic properties of cells in qualitative and quantitative ways allows for an improved understanding of their biomechanics. From a biomechanical point of view, it is essential to understand epiboly, and not just demand knowledge on cortical tension measurements and dynamics, which can be extracted by AFM; thus there is need for information on the biophysical properties of the tissue. To extract this information, a variety of cell rheology techniques have been developed over the years in order to characterize different cell types under different physiological conditions23. They include AFM, MTC, and Optical Tweezers (OT). These methods, however, have been proven inadequate for mesoscopic analyses at the scale of embryos or organs. As an alternative, we have successfully adapted nanoparticle-tracking microrheology6 for in vivo rheological measurements. This technique analyzes the Brownian displacements of individual particles and infers local micromechanical properties.
Together AFM and nanoparticle microrheology allow the definition of cortical tensional dynamics and internal mechanical properties of the yolk during epiboly. This information fully endorses a model in which anisotropic stress develops as a consequence of the differences in the deformation response of the EVL and the Yolk Cytoplasmic Layer (YCL) to the isotropic actomyosin contraction of the E-YSL cortex is essential for the directional net movement of the EVL and epiboly progression1.
All the protocol steps described below follow the animal care guidelines of our institutions.
1. Zebrafish Culture
2. Atomic Force Microscopy
3. Particle Tracking Microrheology
Cortical tension measurements
For each measurement point, five force-displacement (F-z) curves were acquired by AFM by ramping the cantilever at 1 Hz with a peak-to-peak amplitude of 5 µm (velocity = 10 µm/s) up to a maximum indentation of ~2 µm. This procedure was taking less than 20 min and was not affected by epiboly progression. Each experimental condition was tested in at least 5 embryos.
The force-displacement curves recorded on the embryo yolk cell, on the contrary to those corresponding to the soft surrounding agarose, exhibit a proportional linear relationship (R2 >0.999) (Figure 2A). We performed additional sets of control F-z curves at 3 µm/s and 30 µm/s and discarded a potential dependence of cortical tension Tc on the velocity of the cantilever. Tc increased just by 13% (p <0.01, t-test) when the velocity was reduced from 10 to 3 µm/s and did not show any significant change when increased from 10 to 30 µm/s.
Force-indentation (F-h) curves recorded at a cantilever velocity of 10 µm/s on the yolk cell were almost linear and fitted with a liquid-balloon model (Figure 2B)1. This fitting allowed the calculation of the absolute values of mean surface tension (pN/µm) at different epiboly stages and at different positions relative to the EVL leading edge (identified under transmitted light) (Table 1).
Rheology of the cortex
The differences between the indentation and retraction of force-displacement (F-z) curves (Figure 2C) indicate a viscoelastic behavior of the embryo yolk cell cortex. Low amplitude (100 nm) multifrequency oscillation measurements provide the information to calculate the effective complex modulus g*(ƒ) of the yolk cell surface and its elastic and viscous components (see protocol above).
The cortex rheology in the zebrafish embryo yolk cell is dominated by a solid-like behavior with the viscous modulus 5 times lower than the elastic modulus1. This behavior is not frequency dependent, either for the elastic (ANOVA, p = 0.123), or for the viscous modulus (ANOVA, p = 0.719) (Figure 2D).
Rheology of the yolk
The viscosity of the yolk was computed by fitting equation (5) to the MSD data obtained from nanoparticle tracking (see Figure 4A-B). The MSD of thermal fluctuations of fluorescent nanoparticles embedded in the yolk exhibits a proportional dependence on time lag τ, consistent with the behavior of a Newtonian liquid. The effective shear viscosity of the yolk, which is inversely related to the bulk diffusion coefficients of the nanoparticles, was 129 mPa·s.
Figure 1: AFM of zebrafish yolk cells in vivo. (A) Diagram describing the set up employed to probe the zebrafish yolk cell cortex by AFM. Dechorionated embryos of different ages were halfway inserted into holes created in customized agarose blocks, rotated into a particular orientation and sealed at the edges with low melting point agarose. The yolk cells were probed with spherical polystyrene beads attached to a cantilever (red). (B) Embryo at 50% epiboly half embedded in agarose probed with a cantilever (false colored in red) at the vegetal pole. (C) An equivalent embryo to that in B, probed at the yolk cell in a region close to the EVL cells margin. Scale bars = 100 µm (B and C). Please click here to view a larger version of this figure.
Figure 2. Zebrafish embryo yolk cell cortical tension and rheology. (A) Force [deflection (d)]-displacement (z) curves obtained for a representative embryo as the cantilever tip approaches and contacts the sample [the agarose surface (control) in blue and the yolk cell surface in red]. (B) Force indentation (F-h) curves (n = 3 embryos, 3 measurements per embryo at a distance of 10 µm from each other. Each measurement represents the mean of 5 curves) fit with a liquid-balloon model (from reference1). Note the linear increase in deflection upon contact with the embryo yolk cell surface. The dashed black line shows the fitting to the model (from which the cortical tension is inferred). (C) Approximation (red) and retraction (purple) force-displacement curves for a representative embryo. Curved red and purple arrows point to the temporal regime of data collection. The double-headed arrow highlights the difference between the approaching and retracting deflection values pointing to the viscoelastic character of the cortex. (D) Viscoelasticity of the yolk cell cortex (n = 5 embryos). Effective complex modulus (g*) extracted from multifrequency oscillations AFM measurements (from 1). Red symbols represent the elastic modulus (g'), and blue symbols define the viscous modulus (g″), respectively. Mean and Standard Error (SE) are displayed. Please click here to view a larger version of this figure.
Figure 3. Particle tracking microrheology. (A) Fluorescent nanoparticles are injected into the yolk cell of zebrafish embryos at 50% epiboly. (B) Displacements were tracked for individual nanoparticles randomly distributed within the yolk (left). Time course of the typical trajectories of nanoparticles (centroids) embedded within the yolk (2 examples) exhibit random walks that are characteristic of viscous diffusion. Scale bar = 100 µm (A); 1 µm (B, left); 200 nm (B, right). Please click here to view a larger version of this figure.
Figure 4. Microrheology of the zebrafish embryo yolk. (A) MSDs of individual nanoparticles (n = 99) exhibit an approximately linear dependence with time lag. (B) Mean ± standard error MSDs of nanoparticles and viscosity of the yolk. Ensemble averaged MSDs (mean – red line ± SE) of the nanoparticle population exhibits predominantly viscous character. The linear slope of the relationship reflects the diffusive properties of the nanoparticles. Please click here to view a larger version of this figure.
Tension (pN/mm) Average ± SE | % of Epiboly | |||
40-50 | 60-70 | 80-90 | ||
Distance to EVL margin | 20 μm (E-YSL) | – | 60 ± 7 | – |
40 μm (YCL) | 67 ± 11 | 72 ± 5 | 110 ± 7 | |
Vegetal Pole | – | 75 ± 3 | – | |
n = 3 embryos (5 indentations on each) for each condition |
Table 1: Spatio-Temporal Tension distribution at the yolk cell surface during Epiboly.
Here we show that the material properties and some biomechanical parameters of the zebrafish yolk cell during epiboly can be readily estimated by AFM and nanoparticles microrheology.
While AFM has been employed to retrieve rheological features of cells and tissues in physiological conditions4,5,25,28, here we developed a protocol for applying AFM to intact developing embryos that we employed to test the yolk cell surface of the zebrafish embryo during epiboly.
For our AFM measurements, the orientation of the embryos was secured by half embedding them in low melting agarose. Yet, agarose embedding did not affect AFM measurements. The stiffness of the agarose was measured by probing its surface with a spherical tip. We found a Young's modulus (E) of 4.2 0.2 Pa for this gel by fitting the force-indentation curves with the Hertz contact model of a sphere indenting a flat surface of an elastic body. Given that E 3g', the agarose was 50-fold softer than the yolk cell cortex (Figure 2D). Therefore, considering its limited thickness and very low stiffness, the AFM measurements recorded atop the embryo appear to be extremely reliable.
It is important to note that retrieving absolute values for cortical tension from AFM data demands extreme care on regarding mechanical model fitting. In the case of the zebrafish yolk cell, with its unique composition with an outer microtubules-rich cytoplasmic layer encompassing a highly viscous yolk mass, we circumvent this problem employing a liquid-balloon model consisting of an elastic cortex enclosing a viscous liquid. This model has been previously used to estimate the cortical tension of leucocytes with micropipette aspiration28, spherical progenitor cells from gastrulating zebrafish embryos indented with spherical AFM tips4, and HeLa cells with AFM using wedged cantilevers22.
We estimated the cortical tension of the yolk cell by indenting its surface with a commercially available small spherical tip. This small probe allowed us to directly measure regional differences in cortical tension. As described above, force-indentation data were interpreted in terms of a minimal liquid-balloon model (Eq. 2). Force curves recorded on the surface of gels and cells with a spherical tip increase with indentation as a power law with a 3/2 exponent. By contrast, we found a proportional force-indentation relationship very well fitted with Eq. 2 (Figure 2B). The little dependence of Tc on cantilever velocity and the low g''/g' ratio (Figure 2D) indicates that cortex mechanics is dominated by an elastic behavior.
Yolk mechanics were independently probed with microparticle rheology. The linear increase of MSD observed clearly reflects a pure viscous behavior. It should be noted that the viscosity of polymer solutions depends on the size of the probe31. Therefore, the value of yolk viscosity we measured with a probe of 100 nm in radius could somewhat differ from molecular (e.g., fluoresce depolarization) or macroscopic measurements. Taken together, these results provide strong support to the adequacy of the liquid-balloon model and the robustness of the cortical tension and yolk viscosity measurements.
We reason that this approach could be easily extended to measure blastoderm mechanics in the same embryos or to other developmental time points in the zebrafish and, eventually, to other organisms. This approximation will only depend on engineering appropriate mounting procedures (see reference32) facilitating the access of the AFM probes to the right places at the right time. Still, the continuous motion of most cells and tissues during development should be taken into account in any application to other developmental models. Cell movements will make the application of these methods much more challenging.
In some cases, AFM in vivo would be inapplicable if accessibility problems cannot be overcome. Both in developing embryos and adults, cells are largely inaccessible. Thus, to test biophysical properties in situ, is imperative to employ methods not requiring direct contact. Nanoparticle tracking microrheology fulfills these requirements6. This technique is based on the analysis with high spatial and temporal resolution of the Brownian displacements of individual particles. The local micromechanical properties of the viscoelastic fluid that surrounds these nanoparticles is a direct reflection of the extent and time lag-dependence of their MSDs. This approach has already been applied to developing organisms and has helped to determine the highly viscous character of the C. elegans embryo cytoplasm30. We uncovered that a zebrafish yolk displays equivalent properties with C. elegans embryos, although its viscosity is two orders of magnitude lower. A linear time dependence of MSD with similar values of yolk viscosity to those of the zebrafish yolk has recently been reported in Drosophila33.
Although we did not explore this possibility ourselves, injected uncoated and coated nanoparticles have recently been employed as targets of optical tweezers in zebrafish larvae34. Non-invasive micromanipulation inside a whole-organism may give not just direct insights into cell interactions but into mechanical properties and activities not accessible using existing approaches.
The authors have nothing to disclose.
We thank Amayra Hernández-Vega and Philippe-Alexandre Pouille for participating in setting up the basis for these protocols. We also thank the Molecular Imaging Platform from the IBMB-PCB, Xavier Esteban and members of the laboratory for continuous support. The Consolidated Groups Program of the Generalitat de Catalunya and DGI and Consolider Grants from the Ministry of Economy and Competitivity of Spain to EMB and DN supported this work.
Inverted optical microscope | Nikon | TE2000 | Visualization of the sample and AFM cantilever |
Atomic force microscope (AFM) | Custom made | – | Any commercialized AFM could be employed |
Inverted Confocal microscope | Zeiss | LSM780 | Nanorheology data collection |
Agarose D1 Low EEO | Conda | 8016.00 | Casting embryos |
Ultrapure LMP Agarose (low melting) | Invitrogen | 16520-100 | Securing embryos |
Zebrafish Microinjection and Transplantation Molds | World Precision Instruments | Z-MOLDS | Casting embryos. Custom made with the original dimensions can also be employed |
Dumont 5 Forceps | FST | 11251-20 | 1.5 mm diameter |
Si3N4 cantilever | Novascan | PT.GS | Measuring the embryo by AFM. Spherical tip: 4.5 µm diameter and k=0.01 N/m |
Fluorescent nanoparticles | Life Technologies | FluoSpheres F8811, | For tracking nanorheology |
Micropipette puller | Sutter Instruments | P-2000 | Fabricating tailored microneedles |
Borosilicate capillary glass | Warner Instruments | G100TF-4 | Fabricating tailored microneedles |
Micromanipulator | Narishige | MN-153 | Manipulating the micropipette |
Microinjector | Eppendorf | FemtoJet Express | Controlling injection time and pressure |
Stereomicroscope | Leica | DFC365FX | Visualization of the embryos during injection |
Analysis Software | MathWorks | Matlab | Analyzing AFM and particle tracking data |
Zebrafish | AB and TL wild type | – | Strains employed for embryo collection |
Glass Bottom Plates | Mat Tek | P35G-0.170-14-C | Mounting embryos for nanorheology data collection |
Stage micrometer | FST | 29025-02 |