Abstract
For decades, it was commonly thought that the bilateral heart fields in the early embryo fold directly towards the midline, where they meet and fuse to create the primitive heart tube. Recent studies have challenged this view, however, suggesting that the heart fields fold diagonally. As early foregut and heart tube morphogenesis are intimately related, this finding also raises questions concerning the traditional view of foregut formation. Here, we combine experiments on chick embryos with computational modeling to explore a new hypothesis for the physical mechanisms of heart tube and foregut formation. According to our hypothesis, differential anisotropic growth between mesoderm and endoderm drives diagonal folding. Then, active contraction along the anterior intestinal portal generates tension to elongate the foregut and heart tube. We test this hypothesis using biochemical perturbations of cell proliferation and contractility, as well as computational modeling based on nonlinear elasticity theory including growth and contraction. The present results generally support the view that differential growth and actomyosin contraction drive formation of the foregut and heart tube in the early chick embryo.
KEY WORDS: Morphogenesis, Growth, Contraction, Biomechanics, Computational model
Highlighted article: Experiments using chick embryos and computational models reveal the biophysical mechanisms that create the foregut and heart tube in the early embryo.
INTRODUCTION
Near the anterior end of the early vertebrate embryo, three tubes – the brain tube, the heart tube (HT) and the foregut (FG) – form simultaneously from ectoderm, mesoderm and endoderm, respectively (Patten, 1951). Folding of epithelia creates each of these primitive organs, which begin as relatively straight tubes but later bend and twist to form more complex structures. Because of their proximity in time and space, morphogenesis of these structures is coupled to some extent. This is particularly true for the heart and foregut, which are the focus of this report.
Development of the heart and foregut in the chick embryo is similar to that in mammals, including human (Abu-Issa and Kirby, 2008). These structures are created by folding of the splanchnopleure (SPL), an initially flat bilayered membrane composed of endoderm and splanchnic mesoderm. As folding begins, the presumptive heart fields (HFs) occupy oval-shaped regions of the splanchnic mesoderm on both sides of the embryo (Fig. 1A-A″). Folding inverts the SPL (Fig. 1B′,C′), bringing the two sides of this membrane together at the midline, where the mesodermal and endodermal layers fuse to create the HT and FG, respectively (Fig. 1D-E″). These tubes then elongate as the anterior intestinal portal (AIP), i.e. the opening at the caudal end of the FG, descends (Fig. 1D,D′,E,E′).
For decades, it was commonly thought that the SPL folds in a lateral-to-medial direction, with the SPL maintaining the same cranial-caudal polarity as it creates the HT and FG. During the last 15 years, fate-mapping studies for the heart have challenged this view, however, suggesting that the pattern is more complex (Abu-Issa and Kirby, 2008; Kirby, 2007; Cui et al., 2009). In the new model, the HFs fold diagonally, transforming the initial cranial-caudal polarity to medial-lateral polarity (Fig. 1B′,C′,D′). This process brings the cranial margin of the HFs to the midline, where they fuse to form the ventral side of the HT (future outer curvature of the looped heart). At the same time, the medial aspects of the HFs move cranially to create the outflow portion of the heart (primitive right ventricle), and the lateral aspects move caudally to create the inflow region (primitive left ventricle) (Fig. 1E′). Because the layers of the SPL are adhered, the FG must also be created by this folding pattern.
The physical mechanisms that create the HT and FG remain poorly understood, especially in relation to this revised view of morphogenesis. Here, using a combination of experiments and computational modeling, we examine the plausibility of a new hypothesis for this complex process consisting of three phases: (1) FG formation – differential growth between the splanchnic mesoderm and endoderm, with the mesoderm growing faster, drives SPL folding to create the FG and bring the HFs into their proper orientations at the embryonic midline; (2) AIP descension – after midline fusion, actomyosin contraction along the AIP pulls the SPL downward, causing both layers to stretch longitudinally with SPL growth assisting the elongation; and (3) HT formation – cardiac jelly pressure and circumferential growth, possibly produced by cells entering the HFs from neighboring mesoderm, cause the HFs to expand and create the HT.
RESULTS
The present study focuses on events that take place during Hamburger-Hamilton stages HH5 to HH10 in the chick embryo (Hamburger and Hamilton, 1951). To test our hypothesis experimentally, we inhibited cell proliferation and contraction in cultured embryos. Next, we used computational modeling to determine the physical plausibility of our hypothesis. Finally, we tested the model using additional experimental data.
Foregut and heart tube formation in the chick embryo
To orient readers who may be unfamiliar with this problem, we first describe FG and HT morphogenesis in more detail. For convenience, although there is some overlap, we divide the process into three phases corresponding to the hypothesis described above.
During the first day of incubation, the tri-layered blastodisc, consisting of ectoderm, mesoderm and endoderm, forms on the surface of the yolk (Patten, 1951). At HH5 (20 h), the HFs are located bilaterally within the mesoderm (Fig. 1A-A″) (Linask and Lash, 1986; DeHaan, 1963; Stalsberg and DeHaan, 1968; Moreno-Rodriguez et al., 2006; Abu-Issa and Kirby, 2007, 2008). By HH7, the mesoderm splits into somatic mesoderm, which is connected to ectoderm on the dorsal side of the embryo, and splanchnic mesoderm, which contains the HFs and is attached to endoderm on the ventral side (Fig. 1B″). The splanchnic mesoderm and endoderm together make up the SPL. We define two regions of SPL on each side of the embryo: (1) inner SPL (iSPL), destined to create the FG and HT; and (2) outer SPL (oSPL), destined to form a membrane outside the FG on the ventral side of the HT (Fig. 1C″-E″).
Phase 1: Foregut formation (HH5-7)
After the pre-cardiac cells epithelialize, the SPL (including HFs) starts to fold (Fig. 1B-B″) (Kirby, 2007). Except for a small relative motion, the two layers of the SPL move together (Abu-Issa, 2014; Aleksandrova et al., 2015), suggesting that they fold as a contiguous sheet. The left and right sides of the iSPL fold diagonally towards the midline, where their originally cranial margins meet and fuse gradually from top to bottom. This motion inverts the iSPL while simultaneously carrying the medial regions of the HFs (red) cranially and the lateral regions (blue) caudally (Fig. 1B′-D′), thereby creating the early FG, a tube open at the AIP, while moving the HFs into their proper orientation for HT formation (Kirby, 2007).
Phase 2: AIP descension (HH7-9)
Both the iSPL and the oSPL lengthen axially as the AIP moves downward. This process also lengthens the FG and the fused HFs, which begin to separate from the endoderm (Fig. 1C-D″) (Linask and Lash, 1986; Schultheiss et al., 1995).
Phase 3: Heart tube formation (HH9-10)
The fused HFs thicken and expand to create the HT (Fig. 1D″,E″). By stage HH10 (33 h), the HT is a relatively straight, tapered tube that is open and connected to the FG along its dorsal side (Fig. 1E-E″; see also Fig. 7A). The unfused regions of mesoderm at the caudal end of the HT form the omphalomesenteric veins (Fig. 1E′). Accumulating extracellular matrix (cardiac jelly) separates the expanding mesoderm (myocardium) from the endoderm (Fig. 1E″) (Romanoff, 1960).
Cell proliferation is required for foregut morphogenesis
To examine the effects of cell proliferation during Phase 1, we cultured HH5 embryos in media containing the mitotic inhibitor aphidicolin (50 μM). Staining with EdU (5-ethynyl-2′-deoxyuridine) confirmed the effectiveness of aphidicolin (Fig. S1). Compared with control embryos (n=5), little or no folding occurred in treated embryos (n=4) during the first 5 h of incubation (Fig. 2A,B). After the drug was washed out, relatively normal folding and AIP descension occurred (Fig. 2B), creating a partially looped HT after an additional 25 h of culture. Development was delayed, however, and the HT had an abnormal shape and relatively weak heartbeat (Fig. 2B). In treated embryos without washout, folding was inhibited during the entire 30-h culture period (data not shown).
To examine the effects of blocking proliferation during Phases 2 and 3, we cultured HH8 embryos for 21 h in 50 μM aphidicolin. Compared with control embryos (n=4), AIP descension was slower in treated embryos (n=7) during 8 h of incubation, as shown by measurements of relative oSPL length (Fig. 2C). After 21 h of incubation, two beating HTs had formed in most embryos (n=3/4) (Fig. 2C, red dashed lines). Exposure beginning at HH9 yielded similar results (not shown).
Taken together, these results suggest that cell proliferation is required during Phase 1 for the initial folding of the iSPL. Inhibiting proliferation during Phase 2 impedes but does not block iSPL elongation and AIP descension. Thus, consistent with our hypothesis, cell proliferation is required for FG morphogenesis during both Phases 1 and 2. However, our data are inconclusive on the importance of proliferation in HT expansion during Phase 3.
AIP descension requires actomyosin contraction
To determine the effects of actomyosin contraction, we cultured HH5 embryos in media containing the myosin inhibitor blebbistatin (75 μM). During the first 7.5 h of incubation, folding of the iSPL occurred in treated embryos (n=4; Fig. 3Aa-Ad), but AIP descension proceeded at a progressively slower rate (Fig. 3B). After 7.5 h, blebbistatin was washed out and culture continued for an additional 7.5 h (Fig. 3Ae-Ah). After washout, AIP descension resumed and approached the normal rate (Fig. 3B), leading to the formation of an HT (Fig. 3Ah). These results suggest that contraction is not needed for folding of the iSPL during Phase 1 or for HT formation during Phase 3, but it is required for normal AIP descension and the accompanying FG and HF elongation during Phase 2.
The results from these blebbistatin experiments support our hypothesis for Phases 1 and 2. However, as blebbistatin inhibits cytokinesis, it may seem that these experiments contradict our hypothesis for Phase 3, which requires growth for HT formation. On the other hand, stem cell-derived cardiomyocytes can undergo mitosis and form larger cells with two nuclei when treated with blebbistatin (Li et al., 1997; Földes et al., 2011). To determine how blebbistatin affects growth in the chick embryo during the studied stages, we estimated growth strains. The results indicate that blebbistatin exposure slows but does not stop growth in the FG (Fig. 4). If both layers of the SPL are affected similarly, the differential growth between layers that drives folding would be maintained.
Computational model captures FG and HT morphology
To examine the biomechanical feasibility of our hypothesis, we used computational modeling. During Phases 1 and 2, our finite-element model includes only the iSPL, which is treated as a pseudoelastic plate composed of two layers representing endoderm and (splanchnic) mesoderm (Fig. 5A). In the initial configuration (stage HH5), the width, length and thickness of the plate are a=650 μm, b=1900 μm and h=14 μm, respectively, and both layers have the same thickness. Because of bilateral symmetry, the model represents the iSPL on only one side of the embryonic midline (y-axis), with appropriate symmetry conditions applied during the simulation. The boundaries along the x- and y-axes are constrained by roller supports to move only along these axes (Fig. 5B,C).
The boundary conditions along the other two edges of the iSPL require some explanation. During Phases 1 and 2 we assume that the oSPL relaxes or grows to accommodate the motions of the iSPL. Otherwise, the connections between these regions would inhibit iSPL folding. Therefore, although this assumption warrants future study, we take these edges as free of loads and constraints. On the other hand, experimental evidence suggests that the oSPL contracts and stiffens later and plays a role in torsion of the HT during looping (Voronov et al., 2004). Thus, the oSPL is included during Phase 3 as a flat plate with fixed edges positioned near the ventral surface of the HT (see HH10 cross-section in Fig. 6).
The HF is represented by a rectangular region located at the cranial-lateral corner of the mesoderm (Fig. 5B, red). (The shape and location are rough approximations for the actual HF.) The prospective AIP border region is defined as a thin band along the lateral edge of the endoderm (Fig. 5C, green). The layers are bound together except for the HF region, where frictionless contact allows relative motion between layers. This lets the layers separate at later stages to create the HT.
The following paragraphs describe the simulation and results for each phase. As described in supplementary Materials and Methods, growth and contraction are simulated by specifying changes in the local zero-stress configuration for each material element (Rodriguez et al., 1994; Taber, 2009).
Phase 1: Foregut formation
The hypothesis for Phase 1 (t=0-4 h; times are defined relative to stage HH5) is based partly on findings by Bellairs (1955) and Miller et al. (1999), who found patterns of cell proliferation in the endoderm of chick embryos that correlate with the folding that creates the foregut. From these data and our aphidicolin results, we speculate that a distinct pattern of growth in the mesoderm and endoderm, with differences in the x and y directions, is necessary to generate diagonal folding of the iSPL. In addition, bending of the iSPL with endoderm located at the inner curvature requires the mesoderm to grow faster than the endoderm, consistent with measurements of Bellairs (1957) and Miller et al. (1999). The relatively rapid proliferation of mesodermal cells on the FG floor (ventral side) is also consistent with the idea that these cells later enter the growing HT (van den Berg et al., 2009).
When these growth patterns are specified in our model (Fig. 5D; see Eqn S6), the iSPL folds diagonally, as observed experimentally, producing morphology in reasonable agreement with experiments (Fig. 6). Folding during Phase 1 is complete at HH7 when the originally upper edge of the iSPL aligns with the midline. Midline fusion of the iSPL with its mirror image on the other side is simulated by changing the free boundary conditions along this edge to roller supports to prevent further lateral displacement.
Phase 2: AIP descension
According to our hypothesis for Phase 2 and consistent with experimental and modeling studies of Aleksandrova et al. (2015), contraction near the arch-shaped AIP generates tension that pulls the AIP downward. Contraction is simulated in our model by specifying negative growth (shortening) tangential to the AIP within the relatively thin region of endoderm representing the AIP border (Fig. 5C, green region). In addition, we include positive axial growth in the iSPL, consistent with experiments suggesting that growth occurs in the floor of the foregut as the AIP descends (Kirby et al., 2003).
When these mechanisms are turned on, the AIP descends as the iSPL elongates, similar to the behavior that occurs in the embryo (compare Fig. 1A and Fig. 6, top row, Phase 2). In addition, the HF in the mesoderm begins to separate from the endoderm (Fig. 6, cross-sections, HH8-9). These shape changes are generally consistent with observed morphology, although the cross-section of the FG in the model is not as flattened as that seen in the chick embryo during this phase.
Phase 3: Heart tube formation
Relatively little cell proliferation occurs in the forming heart during stages HH8-10. However, the HT can grow by addition of proliferating cells from neighboring splanchnic mesoderm (van den Berg et al., 2009). This growth is simulated during Phase 3 in an average sense by specifying circumferential and radial growth in the HF as functions of time. Circumferential growth causes the HF to expand, creating the primitive HT, while radial growth increases the thickness of the heart wall (Fig. 6, middle row).
Two additional features affect the shape of the HT. First, cardiac jelly accumulates and swells inside the HT, forcing the myocardium to expand (Nakamura and Manasek, 1978, 1981). Exposure of stage HH8 embryos to hyaluronidase confirmed that cardiac jelly is necessary for this behavior during Phase 3 (Fig. S2). Thus, cardiac jelly pressure is included in the model by specifying pressure between the separating endoderm and HF (Manasek et al., 1984). Second, ventral contact with the oSPL, represented by a separate membrane during Phase 3, further modifies HT shape (Fig. 6, middle row, right). With these effects included, the cross-sectional shape of the HT agrees reasonably well with that in the embryo at HH10, and the FG acquires a shape closer to its characteristic morphology (Fig. 6, HH10). Including cardiac jelly pressure makes the HT slightly rounder (Fig. S4B,B′). In addition, consistent with experimental observations, the HT begins to close on its dorsal side where it is attached to the FG (Fig. 6, middle row, HH9-10).
To evaluate the predicted cardiac morphology in more detail, we compare ventral and cross-sectional shapes between model and experiment at HH10 (Fig. 7). In our model, the omphalomesenteric veins (OVs) correspond to the regions around the AIP below the HT (Fig. 7B). The shapes of the HT and OVs produced by the model are reasonably accurate, although the OVs are too narrow because of simplified constraints at the caudal edge of the iSPL. Cross-sectional shapes along the embryonic axis also are reasonable, although, as already mentioned, the FG is not as flat as that observed in ovo (Fig. 7C,D). Part of this discrepancy in FG shape can be attributed to neglecting the constraints of the neural tube and surrounding mesenchyme in our model.
Taken together, all these results generally support the plausibility of our hypothesis for early FG and HT formation (see Movies 1 and 2).
Model is consistent with other data
Determining physical mechanisms for morphogenesis is complicated by the possibility that multiple mechanisms can produce similar shapes (Varner and Taber, 2012b). Hence, it is important to test models using other data. In addition to morphology, we examine the ability of our model to capture results given by pharmacological perturbations, as well as measures of deformation and stress.
Growth and contraction inhibition
Experimental inhibition of cell proliferation prevented SPL folding during Phase 1 and slowed AIP descension during Phase 2 (n=7; Fig. 2). Our model is consistent with the first result, as initial folding is driven entirely by growth. To examine the second result, we ran the model to HH7+ and then turned off all growth while AIP contraction continued unabated (Fig. 8A). In the model, axial growth normally relieves tension in the iSPL as the AIP is pulled downward. Without this growth, the increased iSPL tension resists this motion, slowing AIP descension, as observed in aphidicolin-treated embryos (Fig. 8B).
Exposure to the myosin inhibitor blebbistatin had relatively little effect on SPL folding during Phase 1, but slowed and eventually stopped AIP descension during Phase 2 (n=4; Fig. 3). Our model is consistent with these results, as it includes no contraction during Phase 1, but contraction supplies the main force that pulls the AIP downward during Phase 2.
Deformation
At selected time points from HH7 to HH9, the motions of embedded beads were used to compute the tangential deformation rate DT along the AIP during Phase 2 (n=11; Fig. 9A,B). Data from Ramasubramanian et al. (2006), who used the same technique, are included for Phase 3 (Fig. 9C). Negative DT indicates that the tissue around the AIP shortens. In interpreting these results, it is important to note that DT is the total deformation rate, which comprises elastic deformation, contraction and growth.
The experimental shortening rate (magnitude of DT) increased from HH7 to HH8+ and then decreased afterwards. The trends given by the model are strikingly similar (Fig. 9C). Notably, the rate decreases from HH8+ to HH9 even though the strength of actomyosin contraction continues to increase (growth rate Gy decreases in the AIP region). This behavior is caused in part by increasing tension in the AIP, which produces elastic stretching that partially offsets contraction. Circumferential growth of the HT during Phase 3 leads to a net expansion of the AIP by HH10 (Fig. 9C).
Stress
Tissue stress was characterized by cutting the tissue and immediately measuring the resulting deformation. The amount that the cut opens reflects the magnitude of the tension.
For the FG, we punched circular holes through the oSPL of stage HH8 (n=6) and HH9 (n=5) embryos. The wounds opened into elliptical shapes (Fig. 10A′,A″), and sections acquired by optical coherence tomography (OCT) reveal that the wounds penetrated the oSPL and head ectoderm, as well as the FG (Fig. 10B,B′). As described in Materials and Methods, transverse () and axial () elastic stretch ratios in the FG were estimated from measurements of wound geometry in OCT images. The stretch ratios characterize stresses in the corresponding directions, with , indicating tension (Varner and Taber, 2009). Similar cuts were simulated in the model (Fig. 10A‴,A″″).
The wounds were consistently elongated in the axial direction, indicating relatively higher tension axially than transversely. The data suggest that axial tension () increases significantly from HH8 to HH9 (Phase 2), but transverse tension changes relatively little (Fig. 10C). The results given by the model agree well with these data. In addition, aphidicolin exposure causes the axial tension to increase even more during Phase 2 (Fig. 10D), consistent with our model and supporting the view that growth helps reduce iSPL tension as the AIP descends.
Varner and Taber (2012a) and Shi et al. (2015) used linear incisions to examine tension in the AIP during stages HH8-10 (Fig. 11A). We simulated these experiments by running the model to the appropriate stage and then freeing a segment at the center of the AIP (Fig. 11A′). Comparing experimental and model-predicted opening angles shows relatively good agreement across stages (Fig. 11A″). Similar data for the HT are provided by Shi et al. (2014). For this case, the model includes a cut in the initial geometry, and the opening angle was measured at the end of the simulation. Although some wrinkles appeared in the model because of the cut, results from the model agree reasonably well with the experimental measurements (Fig. 11B-B‴).
Taken together, these additional tests of the model support the plausibility of our hypothesis.
DISCUSSION
For decades, researchers have suggested that HT and FG morphogenesis are interrelated in the early embryo, because both tube-like structures form at essentially the same place and time (Patten, 1951). However, although much is now known about the genetic and molecular factors involved in heart development (Kirby, 2007; Yutzey and Kirby, 2002; Olson and Srivastava, 2002), the physical forces that create and shape both the heart and the foregut remain incompletely understood.
Early work on FG development focused on describing folding morphology. From cross-sectional images and marking experiments, Bellairs (1953a,b) concluded that the left and right sides of the SPL fold directly towards the midline, where they progressively fuse in the cranial-to-caudal direction, lengthening the FG as the AIP moves downward. Because the layers of the SPL are connected by extracellular matrix (Aleksandrova et al., 2015), Bellairs (1953a,b) also suggested that folding of the endoderm carries pre-cardiac mesoderm into its correct position. Recent studies have confirmed this important role for the endoderm, showing that the two layers move together except for relatively small motions of pre-cardiac cells relative to the endoderm (Varner and Taber, 2012a; Aleksandrova et al., 2015).
Focusing on the heart, Stalsberg and DeHaan (1969) described how the bilateral HFs invert to create the HT, suggesting that the HFs also fold directly towards the midline and fuse like the FG. This ‘traditional view’ of HT formation was widely accepted for several decades until the studies of Abu-Issa and Kirby (2007, 2008), who concluded that the HFs fold diagonally rather than straight towards the midline. Although the possible relation to endodermal motion was mentioned (Abu-Issa, 2014), these investigators apparently did not attempt to relate morphogenesis of the HT to that of the FG.
These new results for the HT suggest that the traditional view of FG formation also should be re-examined. In the present study, therefore, we have proposed and tested a new mechanistic hypothesis that integrates HT and FG morphogenesis. Aspects of our hypothesis build on previous work by Aleksandrova et al. (2015), who used in vivo imaging and computational modeling to study HT formation.
Phase 1: Foregut formation
Results from our model show that the folding pattern of the HFs described by Abu-Issa and Kirby (2007, 2008) can be produced by orthotropic growth (in the x and y directions) of both layers of the iSPL, with the mesoderm growing more rapidly. This growth pattern also creates an endoderm-lined FG and an arch-shaped AIP (Fig. 6). A growth-driven mechanism for iSPL folding is supported by our experiments in which inhibiting cell proliferation blocked the initial folding (Fig. 2B).
Growth of splanchnic mesoderm alone could give similar results, but cells proliferate in the FG-forming region of the chick endoderm during these stages (Bellairs, 1955; Miller et al., 1999) (Fig. S1). Similar behavior also could be produced by contraction of the endoderm, but this possibility is inconsistent with our experiments showing that folding during Phase 1 occurs when actomyosin contraction is inhibited (Fig. 3Aa-Ad). Because differential growth and contraction are the two most common mechanisms for epithelial bending in the embryo (Davies, 2005; Taber, 2014), including the growth that bends the looping HT (Shi et al., 2014), we conclude that folding of the iSPL is driven primarily by differential growth between the layers.
Published data generally support the spatial patterns of cell proliferation in our model. In the endoderm, Bellairs (1955) found a higher mitotic rate in the FG roof (dorsal side) than in the floor (ventral side) at HH8, consistent with proliferation patterns of Miller et al. (1999) for HH6-8. These investigators also found a higher rate on the cranial side of the FG floor compared with the caudal side. Bellairs (1957) found similar patterns in the mesoderm, but proliferation rates were generally higher than in the endoderm. All these results are qualitatively consistent with the differential growth patterns specified in our model (Fig. 5D). In addition, a parameter study has shown that these gradients are needed to produce realistic folding morphology (Fig. S3A).
Phase 2: AIP descension
In our model, regional contraction in the endoderm during Phase 2 generates tension along and tangent to the AIP. Combined with the curvature of the AIP, this tension exerts a net downward force on the iSPL that stretches the floor of the FG and the overlying mesoderm as the AIP descends (Fig. 6, top row, Phase 2). Our blebbistatin experiments support this mechanism, as blocking contraction inhibited AIP descension during Phase 2 (Fig. 3Aa-Ad,B). Previous studies have found that contraction around the AIP also pulls pre-cardiac mesoderm towards the midline during these early stages (Varner and Taber, 2012a; Aleksandrova et al., 2015; Shi et al., 2015).
Our experiments indicate that inhibiting cell proliferation during Phase 2 slows the rate at which the AIP descends (Fig. 2C). Not surprisingly, the same behavior occurs when growth is turned off during Phase 2 in our model (Fig. 8), because AIP contraction must overcome the increasing tension that develops in the SPL as it stretches. Normally, this tension would be reduced by axial growth, which might be triggered by the increased stress (Aegerter-Wilmsen et al., 2010). These results suggest that both mechanical stretching and growth contribute to lengthening the FG.
Previous work supports this mechanism for FG elongation. Using tissue labeling techniques, Rosenquist (1966) and Stalsberg and DeHaan (1968) showed that the FG lengthens, at least in part, by stretching. The latter investigators also used a mathematical model to show that the observed behavior could be caused by a force that pulls the AIP downward, and they suggested that this force is transmitted through the endoderm by notochord elongation and regression of the primitive streak. In our model, AIP contraction supplies this force. They also speculated that cell rearrangement effectively causes the FG to grow longer, reducing the build-up in tension. More recently, however, Kirby et al. (2003) obtained evidence that growth contributes to lengthening of the floor of the FG, consistent with our results.
Interestingly, exposure to aphidicolin during Phase 2 led to cardia bifida in most embryos (Fig. 2C). The reason for this is not clear, but we speculate that increased iSPL tension impedes fusion of the HFs, producing two hearts. Previous studies have found that cutting the middle of the AIP or blocking contraction between stages HH5 and HH7 can lead to cardia bifida (Varner and Taber, 2012a; Wei et al., 2001).
Phase 3: Heart tube formation
During Phase 3 in the model, cardiac jelly pressure and tissue growth separate the HFs from the endoderm and cause the HFs to expand circumferentially. As the cycle length for cells within the HT is about 5.5 days during HH9-10 (van den Berg et al., 2009), any growth is likely to be caused by cells added to the HT from a pool of highly proliferating mesodermal cells on the FG wall (van den Berg et al., 2009). These cells belong to the so-called second heart field, which later adds segments to the ends of the HT (Kirby, 2007; van den Berg et al., 2009; Abu-Issa, 2014).
Multiple processes, therefore, probably contribute to lengthening of the HT (Abu-Issa and Kirby, 2007; Kirby, 2007; van den Berg et al., 2009; Abu-Issa, 2014; Moreno-Rodriguez et al., 2006): (1) stretching driven by AIP contraction and descension (HH7-9); (2) cell influx (HH9-18); and (3) mesodermal fusion or ‘zipping’ (HH10-16). The role of these mechanisms and how they might interact remain subject to debate, however.
Although there are some discrepancies, the shapes of the FG, HT, OVs and AIP produced by our model agree reasonably well with actual morphology at HH10 (Fig. 7). Although the model contains some parameters that have not been clearly defined, this is not a trivial result. Nevertheless, future studies are needed to reduce the number of unknowns, as well as to confirm our main assumptions.
A parameter study shows that the fundamental behavior of the proposed model is relatively robust (Figs S3 and S4). However, the effects of cardiac jelly pressure in the model (Fig. S4B,B′) are considerably less dramatic than those observed in hyaluronidase-treated embryos (Fig. S2B,D). These results could indicate that pressure-induced wall stresses create a tension gradient that induces mesodermal cells to move into the HT (tensotaxis).
Limitations
In this study, our intent is to test the physical plausibility of our hypothesis for HT and FG formation, not to determine the molecular signals that regulate this process or the precise patterns of growth and contraction needed to produce realistic morphology. These aspects warrant future study.
To keep the problem manageable, the model geometry is relatively simple, although it includes the most essential features of the problem. For instance, during Phases 1 and 2 the model does not include the oSPL, which undergoes complex deformations during folding and, as discussed above, is likely to relax or grow considerably so it does not hinder FG formation. Thus, we do not expect this membrane to significantly affect our basic results. Including other features into the model should improve the predicted morphology.
In conclusion, the results of our study suggest that a relatively simple combination of differential growth between mesoderm and endoderm and contraction along the AIP create the FG and HT in the early chick embryo. These results are not conclusive, however, and other mechanisms might be involved. We hope that these ideas stimulate further research on this topic.
MATERIALS AND METHODS
This section describes experimental methods. Detailed computational methods are provided in supplementary Materials and Methods.
Embryo preparation and culture
Fertilized white Leghorn chicken eggs were incubated at 38°C for 20-35 h to reach stages HH5-HH10. As described in Voronov and Taber (2002), embryos were removed from the egg using a filter paper method and cultured in media consisting of 89% Dulbecco's modified Eagle's medium, 10% chick serum and 1% antibiotics.
Imaging
Brightfield images and video recordings were captured with a Nikon EOS T3 camera on a Leica DMLB MZ 8 microscope. Cross-sectional images of living embryos were acquired using a Thorlabs OCT system coupled to a Nikon FN1 microscope. Image stacks were acquired at approximately 10 μm resolution. Subsequent image analysis was performed using ImageJ.
Chemical perturbations
To inhibit cytoskeletal contraction, embryos were cultured in media containing 75 μM blebbistatin (Sigma). To inhibit cell proliferation, embryos were exposed to 50 μM aphidicolin (Santa Cruz Biotechnology), which inhibits DNA synthesis (Zagris and Matthopoulos, 1989; Firmino et al., 2016; Cui et al., 2005). Proliferation was visualized by labeling cells with EdU (see supplementary Materials and Methods for details). In selected experiments, the inhibitors were washed out by rinsing the embryo several times in PBS and then continuing the culture in normal media.
To greatly reduce cardiac jelly, embryos were cultured in media containing ovine hyaluronidase (Hyal, 20 UTR/ml; Sigma) (Baldwin and Solursh, 1989; Linask et al., 2003).
Stress estimates
To characterize stress in the FG, we used glass microneedles with circular cross-sections (outer diameter d≈60 μm) to punch holes through the oSPL, head ectoderm, and FG. Immediately after wounding, brightfield and OCT images were captured. All wounds were approximately elliptical in shape (Fig. 10A′,A″). The lengths of the minor and major axes (a and b) in the FG were measured from transverse and longitudinal OCT sections and used to compute elastic stretch ratios, and , in the transverse and longitudinal directions, respectively (Fig. 10B,B′).
The elastic stretch ratios characterize the magnitudes of the principal stresses (Varner and Taber, 2009). The values and indicate tension and compression, respectively, in the i direction.
Measurements of tissue deformation and growth
Deformation was quantified by tracking the motions of tissue labels (microbeads) during culture. Tungsten beads (10 μm diameter) were injected into the tissue using a gene gun (Helios Gene Gun, Bio-Rad) (O'Brien et al., 2001). Brightfield images were acquired at the beginning of the experiment and approximately every 2 h during culture. Deformation rates and strains were computed from bead coordinates, and growth was estimated from strain and stress data (see supplementary Materials and Methods for more details).
Statistical analysis
Because of the nature of our study, most data analysis involves comparison of numerical and experimental results. Experimental data are plotted as group means with error bars representing s.d. Two-way ANOVA was performed on experimental tension results using SigmaPlot (Systat Software) with P<0.05 considered significant.
Acknowledgements
We are grateful to Philip Bayly and Ruth Okamoto for valuable discussions. We also thank Yunfei Shi for useful suggestions regarding computational modeling in ABAQUS, as well as Alina Oltean for her advice on experiments and installation of the gene gun.
Footnotes
Competing interests
The authors declare no competing or financial interests.
Author contributions
Conceptualization: H.S.H., L.A.T.; Methodology: H.S.H., K.E.G., L.A.T.; Software: H.S.H.; Validation: H.S.H., K.E.G.; Formal analysis: H.S.H., L.A.T.; Investigation: H.S.H., K.E.G.; Resources: L.A.T.; Data curation: H.S.H., K.E.G.; Writing - original draft: H.S.H., K.E.G., L.A.T.; Writing - review & editing: H.S.H., K.E.G., L.A.T.; Visualization: H.S.H., K.E.G.; Supervision: L.A.T.; Project administration: L.A.T.; Funding acquisition: L.A.T.
Funding
This work was supported by grants from the National Institutes of Health [R01 NS070918 to L.A.T.; T32 EB018266 to K.E.G.]. Deposited in PMC for release after 12 months.
Supplementary information
Supplementary information available online at http://dev.biologists.org/lookup/doi/10.1242/dev.145193.supplemental
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