Uncovering the Number and Clonal Dynamics of Mesp1 Progenitors during Heart Morphogenesis

Summary The heart arises from distinct sources of cardiac progenitors that independently express Mesp1 during gastrulation. The precise number of Mesp1 progenitors that are specified during the early stage of gastrulation, and their clonal behavior during heart morphogenesis, is currently unknown. Here, we used clonal and mosaic tracing of Mesp1-expressing cells combined with quantitative biophysical analysis of the clonal data to define the number of cardiac progenitors and their mode of growth during heart development. Our data indicate that the myocardial layer of the heart derive from ∼250 Mesp1-expressing cardiac progenitors born during gastrulation. Despite arising at different time points and contributing to different heart regions, the temporally distinct cardiac progenitors present very similar clonal dynamics. These results provide insights into the number of cardiac progenitors and their mode of growth and open up avenues to decipher the clonal dynamics of progenitors in other organs and tissues.

Correspondence bds10@cam.ac.uk (B.D.S.), cedric.blanpain@ulb.ac.be (C.B.) In Brief Chabab et al. show that about 250 Mesp1 cardiac progenitors specified during gastrulation contribute to heart myocardium morphogenesis. Distinct subpopulations of Mesp1 progenitors, emerging at different time points during development and leading to the formation of different regions of the heart, share similar proliferative capacities.

INTRODUCTION
The three germ layers, which give rise to all future tissues and organs of the embryo, are generated during gastrulation (Tam and Beddington, 1992). To ensure the harmonious morphogenesis of the different organs, it is crucial that a precise number of progenitors for each organ and tissue is specified at this critical stage of development. Moreover, once those progenitors are specified, they must migrate and proliferate to expand the pool of progenitors that will eventually differentiate into the different cell types that make up the different organs and tissues.
The heart represents one of the first functional organs to form during development (Garry and Olson, 2006). Retrospective clonal analysis, in which cardiac progenitors are labeled randomly during cardiac development, has suggested that heart morphogenesis involves two distinct groups of cardiac progenitors called first and second heart field (FHF and SHF, respectively) (Buckingham et al., 2005). FHF cardiac progenitors contribute to the formation of the left ventricle (LV) whereas SHF progenitors give rise to the outflow and inflow tracts (OFT and IFT, respectively). The other cardiac regions, the right ventricle (RV) and the left and right atria (LA and RA, respectively), arise from both heart fields (Buckingham et al., 2005;Meilhac et al., 2004a). Heart development begins during the initial stage of gastrulation, when cells within the primitive streak (PS) begin to express Mesp1, undergo epithelial-to-mesenchymal transition (EMT), and migrate toward the anterolateral part of the embryo, where they form the cardiac crescent (Buckingham et al., 2005). Mesp1-Cre lineage tracing has shown that the majority of cardiac cells, including FHF and SHF derivatives, originate from Mesp1-expressing cells (Lescroart et al., 2014;Saga et al., 1999). However, clonal analysis of Mesp1-expressing cells demonstrates that two temporally distinct pools of Mesp1 progenitors sequentially give rise to the FHF and then the SHF progenitors (Lescroart et al., 2014). It remains unclear how many FHF and SHF progenitors are generated during gastrulation; what their respective mode of growth is, as defined by the shape and orientation of the clones reflecting isotropic versus anisotropic growth; and how they balance proliferation and differentiation (clonal dynamics), from their departure from the PS during gastrulation to development of an adult heart.
Here, using a multidisciplinary approach involving Mesp1specific multicolor mosaic and clonal lineage tracing to mark single Mesp1-expressing cells combined with biophysical analysis of their fate during development and postnatal life, we defined the number of Mesp1 cardiac progenitors that are specified during the early stage of gastrulation and their individual contribution to the morphogenesis of the heart. We found that 250 Mesp1 progenitors contribute to cardiac morphogenesis. Surprisingly, we found that, despite their emergence at different time points during gastrulation, their early commitment to distinct heart regions, and their contrasting morphological growth characteristics, the proliferative capacity of the different Mesp1 progenitors is remarkably similar.

Two Hundred Fifty Mesp1 Progenitors Contribute to Myocardial Morphogenesis
To infer the number of Mesp1 cardiovascular progenitors that contribute to the formation of the myocardial layer of the different heart regions during mouse embryonic development, which is composed of cardiomyocytes (CMs), we performed clonal analysis of single Mesp1-expressing (Mesp1+) cells and determined their individual contribution to heart morphogenesis (Lescroart et al., 2014). A low dose of doxycycline was administrated to Mesp1-rtTA/TetO-Cre/Rosa-confetti pregnant females between embryonic day (E)6.25 and E7.25, and embryos were analyzed at E12.5 for the contribution of single Mesp1+ cells (n = 89 clones) ( Figures 1A and 1B) (Lescroart et al., 2014). Clonal analysis is complicated by the fact that the progeny of single Mesp1 progenitors can ''fragment'' into disconnected clusters of lineage-labeled cells as heart morphogenesis proceeds. However, we have previously showed that stochastic modeling of the induction and clone fragmentation processes can be used to reliably infer the fragmentation rate of cells arising from Mesp1 progenitors during cardiac development (2.6 ± 0.2 fragments per clone) (Lescroart et al., 2014). With this information in hand, treating each confetti color as independent, we were able to use statistical inference to separate labeled hearts into those involving a single clonal induction event from those involving the multiple progenitors. In particular, we found that hearts with fewer than four fragments in a given color of the confetti reporter transgene are, with known confidence (88%), monoclonal. With this, we then filtered for monoclonal hearts, leaving us with a set of well-defined clonal lineages (Lescroart et al., 2014).
The heart is a complex organ with a three-dimensional (3D) organization. The recovery of clonal information in 3D requires reconstruction of serial sections or 3D imaging, which are still challenging and time consuming. We can obtain information on the clonal contribution of cardiac progenitors by using their ''clonal footprint'' on the surface of the heart, which can then be acquired at high definition from confocal microscopy. However, reconstruction of the clone in three dimensions from their ''footprint'' requires making assumptions about their morphology or depth, a canonical problem known as the corpuscle problem (Wicksell, 1925). Since the total surface area (SA) of individual clones was found to be linearly correlated with the number of constituent cells on the surface of the heart ( Figure S1), the SA could be taken as a proxy of the individual area clone size.
Although we did not know the depth of clones, we could make use of the fact that the average volume fraction of clones is well estimated by the average SA fraction of the heart surface (Supplemental Theory) (Underwood, 1970). Thus, to estimate the number of Mesp1+ cells that contribute to heart morphogenesis, we assessed the size distribution of SAs occupied by individual clones in monoclonal hearts induced at E6.25, E6.75, or E7.25 ( Figures 1C-1F). The analysis of the SA is mainly informative about the myocardial layer that represents the bulk of the cardiac wall composed by CMs. Then, if we assume that the proliferative capacity of individual Mesp1-expressing cells is similar (dis-cussed later), from the average surface fraction of the heart covered by a single clone, A single , the number of Mesp1 progenitors that contribute to the surface is simply given by 1/A single . To calculate A single , we measured the fragments' SAs for all induction times (E6.25, E6.75, and E7.25), which were then normalized to the total SA of the heart ( Figures 1C-1F). By summing up the SAs of monoclonal fragments, we found that, on average, each Mesp1 progenitor contributes to 0.57% ± 0.05% (95% confidence interval [CI]) of the total SA of the heart ( Figures 1C-1F).
To determine how much the external SA is representative of the total number of CMs, we assessed the relative contribution of Mesp1 progenitors to the myocardial cells located inside the heart (Figures 1G and 1H). 3D reconstruction of confocal analyses of Mesp1-rtTA/TetO-Cre/Rosa-confetti hearts at E12.5 showed that the majority of fragments (82 ± 9%; 95% CI) located inside the heart made contact with the surface of the heart ( Figures 1G and 1H). Correcting for the minority of fragments that remain below the surface of the heart, and taking into account the distribution of fragment numbers in individual clones (see Experimental Procedures), we estimated that244 ± 26 (95% CI) Mesp1 progenitors contribute to heart development ( Figure 1I).

Insights from Multicolor Mosaic Mesp1 Lineage Tracing
To independently validate the number of Mesp1 progenitors inferred from the study of monoclonal hearts and gain further insight into the growth of the tissue, we quantified the size and morphology of fluorescently labeled surface patches that were obtained in Mesp1-Cre/Rosa-Confetti hearts at E12.5 when labeled at higher induction frequency (Figures 2A and 2B). The very transient expression of the Mesp1-Cre (about 24 hr) during embryonic development (Saga et al., 1999) did not induce color conversion of the Rosa-confetti reporter system, which can occur upon Cre re-expression in adult tissue and would be visible as GFP clones within a yellow fluorescent protein (YFP) clone or as CFP clones within a red fluorescent protein (RFP) clone (Schepers et al., 2012). Such clones were not observed in Mesp1-Cre/Rosa-confetti-labeled hearts ( Figures 2C-2F). However, at this level of mosaicism, one cell cluster labeled in a given color can, in principle, be derived from the fusion of two or more independent progenitors induced with the same color. As with fragmentation, the rate of such clone merger or fusion events can be resolved by making use of statistical methods.
To begin, we quantified the recombination frequency of three of the confetti reporter constructs (CFP, YFP, and RFP), both at the surface and inside the mosaic heart, at E12.5 (Figures 2C-2K). Patches bearing nuclear GFP labeling were discarded, as their SA is much more complicated to quantify due to the nuclear nature of labeling. We also quantified the degree of chimerism in fluorescent labeling by assessing the ratio of color-labeled cardiac cells to unlabeled cells in mosaic hearts. Mosaic induction at high frequency showed that the proportions of CFP, YFP, and RFP were similar, leading to more than 50% of the cardiac surface becoming fluorescently labeled ( Figures 2C-2K). In addition, the percentage of fluorescent labeling was similar at the surface and inside the heart at E12.5 ( Figures 2G and 2H), indicating that the percentage of chimerism calculated at the surface of the heart is representative of the heart as a whole ( Figures 2C-2K Table showing, for each induced and sectioned heart, the fraction of clones that are found at the surface of the heart. (I) Method used to calculate the number of Mesp1+ cells required for heart formation. The initial number of cardiac progenitors (245 ± 26) was defined by the average SA covered by one clone, corrected with the percentage of clones that did not present labeled area at the surface of the heart and with the error that we made by including polyclonal labeled hearts to the analysis. Errors indicate means ± 95% CI; n = 89. See Supplemental Theory and Figure S1. (legend continued on next page) Trabeculae are myocardial protrusions that develop in the lumen of the ventricles and are thought to improve myocardium oxygenation (Wessels and Sedmera, 2003). Our analysis revealed that, at E12.5, trabeculum contained cells that expressed at least three of the four fluorescent proteins ( Figures 2I-2K), demonstrating the polyclonal origin of the mouse heart trabeculum, a possibly conserved feature across vertebrates (Gupta and Poss, 2012).
Determining the number of Mesp1 progenitors from the number of clusters in mosaic hearts is complicated by fragmentation and merging of cell clusters ( Figure 2L). Previously, we have shown that a single Mesp1 progenitor gives rise, on average, to 2.6 ± 0.2 (95% CI) distinct (i.e., separated) clusters (Lescroart et al., 2014). At the same time, at higher labeling density, independently labeled clusters of the same color can merge during heart morphogenesis. Similarly, cells of identical color are frequently induced next to each other. Indeed, given the high induction frequency, we assumed that this process of neighbor co-labeling is much more prominent than the fusion of clones during later development. Therefore, to estimate the rate of clone merger events in the background of clone fragmentation, we performed Monte Carlo simulations of the random labeling of an ''idealized two-dimensional tissue'' representing the field of Mesp1 progenitors ( Figure 2L). With cells on a triangular lattice labeled with a probability corresponding to the same percentage of chimerism observed in the Mesp1-Cre/Rosa-Confetti experiment, we computed the size distribution of clusters of cells labeled in the same color ( Figure 2L). From these simulations, we inferred that labeled cells fuse, on average, to compounds of 2.75 ± 0.05 (95% CI) at E12.5 ( Figure 2L; Supplemental Theory). Furthermore, from this numerical simulation, we found that the fragmentation rate is approximately equal to the merging rate, suggesting that the total number of clusters provides a good estimate of the actual number of Mesp1 progenitors.
With the number of clusters that covered the heart surface and the rate of fragmentation and merging defined, we could then estimate the number of Mesp1+ progenitors that contribute to the heart morphogenesis. Confocal analysis of hearts at E12.5 showed that hearts were covered by 195 ± 13 (95% CI) clusters on average ( Figure 2M), which, upon normalization for the percentage of chimerism and the fraction of inner fragments that were not visible from the outside (18% ± 9%; 95% CI) ( Figure 1H), led to an estimate of 257 ± 24 (95% CI) Mesp1 progenitors that contribute to the morphogenesis of the myocardial layer of the heart ( Figure 2M). This number of Mesp1 progenitors inferred from mosaic analysis is in remarkably good agreement with the number obtained from the analysis of monoclonal clusters. Our analysis also suggests that the number of Mesp1 progenitors committed to the different cardiac chambers scales in proportion to the chamber size in the mature heart ( Figure 2M).

Mesp1
Progenitors Present a Different Regional Mode of Growth Using retrospective clonal analysis, it has been shown that cardiac progenitors generate clones of highly variable shapes at E12.5 (Meilhac et al., 2004b). However, it remains unclear whether the different morphology of clones depends on their FHF or SHF origin, on the timing of their specification, or on the time points during development at which these clones have been analyzed. Interestingly, we showed that the shape of clusters varies depending on their regional location and with the time point of analysis (E12.5, n = 4; postnatal day [P]1, n = 3; or adult stage, n = 3) ( Figures 3A-3I). At E12.5, clones in the OFT are highly anisotropic and oriented along the circumference of the cavities, as previously reported (Meilhac et al., 2004b) (Figures 3C and 3D). In the ventricles, labeled cells cluster in patches of different shapes, with some (particularly in the LV) showing a rectangular shape in which the long side was oriented toward the apex, consistent with isotropic growth (Figures 3C and 3E). Moreover, Mesp1-derived clones in the RV were more heterogeneous in shape, with different orientations depending on the ventricle regions ( Figures 3C  and 3F). In particular, clones of the upper right RV presented a similar orientation to that found in the OFT, suggesting that this RV region experienced a mode of growth that was different from that of the rest of the ventricles (Figures 3C  and 3F). Finally, the atria showed clusters of labeled cells that also followed the overall orientation of the cavity ( Figures  3C and 3G).
In contrast, analysis of clones at P1 showed that, while the general morphology was conserved, their shapes (in particular, in the RV) were different from those observed at E12.5. Clones in the ventricles at P1 were even further elongated and enlarged ( Figure 3H). Finally, analysis in adult mice showed that the shape of the clones did not change significantly from P1 ( Figure 3I). These data indicate that the spatial mode of growth of Mesp1derived progenitors differs significantly between heart regions and the time points in which they are analyzed, suggesting that heart remodeling that occurs during cardiogenesis influences the regional mode of growth. showing that the shape of the clones was conserved during the maturation of heart. Arrowheads indicate the shape of interesting clones. Scale bars, 500 mm. For E12.5, n = 4; for P1, n = 3; for 6 months old, n = 3.

Different Mesp1 Progenitors Show Similar Clonal Dynamics
Although the variable patterns of clonal expansion reflect particular morphological characteristics of the different heart regions, the question of whether the proliferative capacity of Mesp1 progenitors also correlates with position remains open. To define the clonal dynamics of cardiac progenitors, we assessed the size of individual clones derived from Mesp1+ progenitors induced at different times during gastrulation (E6.25, E6.75, and E7.25).
To infer information on the fate behavior of cardiac precursors, we made use of the resulting distribution of the SAs of clones (n = 89) ( Figure 1). As emphasized earlier, the random nature of the intersection of clones with the heart surface makes recovery of the corresponding total (3D) clone size mathematically infeasible. However, by focusing on cell dynamics at the heart surface alone, information on cell fate behavior can still be recovered. In particular, we can recover the clonal dynamics, i.e., the rate of cell proliferation and whether cell division leads to two progenitors or one progenitor and one differentiated non-proliferative cell (see Supplemental Theory). More specifically, to model the dynamics of individual clones at the surface of the heart, we note that only a limited number of processes can occur (Figure 4A; Supplemental Theory): upon division, cells in the surface layer can undergo horizontal cell division or vertical cell division; a labeled cell can rise to the surface or can slip below the surface. This means that the clone surface increases and decreases in size at rates proportional to the size of the labeled SA. Furthermore, since Mesp1+ progenitors labeled during gastrulation are not necessarily located on the heart surface during the early stage of cardiac morphogenesis, the labeled cells at the surface may arise at any time after their labeling.
The combination of these processes is known as a Galton-Watson process with immigration. Its solution is known to be the negative binomial distribution (Bailey, 1964). Interestingly, this model ( Figure 4A) describes well the observed SAs of clones induced at E6.25 ( Figure 4B) and E7.25 ( Figure 4C) and suggests that the seemingly broad distribution of SAs can be explained by the stochastic nature of cell divisions and migration of cells to and from the surface layer. Indeed, when taking into account . Blue column is for overall division rate, while white column is for division rate parallel to the surface layer (surf.) of the heart at E12.5. Error bars indicate means ± SEM. (G) Graph depicting the increase of cardiac cell numbers from E6.5 to E13.5. Error bars indicate means ± 95% CI; n = 10. Div,. division. See also Supplemental Theory and Figure S1.
the different time spans between labeling and analysis, progenitors defined at each of the two time points behave in a statistically similar manner. Although a small contribution from asymmetric divisions at this stage of development cannot be ruled out, the coincidence of the measured size distribution with the theoretical prediction suggests that clonal dynamics are dominated by symmetric (proliferative) cell divisions and that division timing of sister cells is not highly synchronized (see Supplemental Theory). Indeed, this modeling scheme provides a general framework to study SA data in developing tissues. While it does not allow us to decipher quantitatively the relative contribution of cell migration processes and division rates, it allows the fundamental rules of proliferation (equipotency, symmetric amplification) in these tissues to be inferred. Curiously, for cells induced at E6.75, we found that the distribution of clonal SAs deviates from the model prediction for large SAs ( Figure 4D). Indeed, the overall distribution of clonal SAs exhibits bimodality, suggesting the existence of a more proliferative subpopulation of cardiac progenitors induced at E6.75, which is not specific to any region within the heart ( Figure 4E). However, even at this time point, the distribution of small clones is, again, remarkably similar to that of the other time points.
To estimate the cell division rate of Mesp1+ progenitors, we analyzed the volume covered by eight clones induced at E6.75 or E7.25. First, we calculated the total number of cells contained in a given clonal volume by dividing the sum of the volumes of monoclonal fragments by the average volume occupied by one cardiac cell (2,150 mm 3 ) (de Boer et al., 2012). Then, assuming that development is dominated by symmetric cell divisions, the division rate is given by the logarithm of the average number of cells in a clone divided by the time span between induction and analysis (see Supplemental Theory). Using this approach, we found that Mesp1 progenitors divide, on average, between 1,1 ± 0,15 times per day from E6.75 to E12.5 and 1,4 ± 0,25 per day from E7.25 to E12.5 ( Figure 4F). The difference in the proliferation rate between these two populations of Mesp1+ cells is not significantly different suggesting that temporally distinct Mesp1 progenitors present very similar proliferation potential from the time of their specification to E12.5.
Similarly, we obtained the effective rate of ''horizontal'' divisions in the surface layer ( Figure 4F) of the heart from the SA covered by each of the 89 clones. The average SA is determined solely by cell divisions parallel to the surface. Since, in a continuously expanding tissue, the amount of vertical cell movements in and out of the surface layer must, on average, be equal we could neglect their contribution to the average clonal SA. With this in mind, the ''horizontal'' proliferation rate of Mesp1 expressing cells is simply given by the logarithm of the average number of surface-touching cells in a clone, divided by the time span between labeling and analysis. The ''horizontal'' proliferation rate is then estimated at around 0.7 per day and represents some 60%-70% of all cell divisions ( Figure 4F).
Finally, to independently confirm the overall proliferation rate, we counted the number of cells at E13.5 after single-cell dissociation of fetal hearts and found that the heart is composed of 447000 ± 80000 (95% CI) cardiac cells (n = 10) at this time point ( Figure 4G). With the number of Mesp1 progenitors obtained from the lineage-tracing experiments, we deduced that Mesp1+ cells divide, on average, 1.2 times per day from E6.75 to E13.5, in very good agreement with the proliferation rate inferred from the volume of clones induced at E6.25 and E7.25 ( Figures 4F and 4G). Interestingly, our data showed that, despite the distinct temporal origin of FHF and SHF progenitors, their different regional contributions, and the difference in their clone shape, the different Mesp1 progenitors present very similar clonal dynamics. This suggests that the variability in surface clone size can be attributed to the stochastic nature of cell divisions and migration of cells to and from the surface layer.

DISCUSSION
By combining mosaic tracing and clonal analysis, we have resolved the number of Mesp1 progenitors and their individual clonal dynamics during cardiac development. We found that 250 Mesp1 progenitors specified during gastrulation contribute to the development of the myocardial cells of the heart. Furthermore, despite arising at different times in development and contributing to different regions, the temporally distinct cardiac progenitors present very similar clonal dynamics.
While retrospective clonal analysis has suggested that the heart is formed by 140 progenitors (Meilhac et al., 2004b), our prospective clonal analysis and mosaic tracing indicate, instead, that heart development is rather mediated by 250 Mesp1 progenitors. As retrospective clonal analysis is based on spontaneous mutations of a reporter gene that occur randomly from fertilization to the time point at which the mice are analyzed, it is difficult to date with precision when the founding mutation occurs. Clone dating is usually inferred from the sum of the size of all clusters of marked cells derived from a clonal event. The inference between birth dating and total clone size assumes that all progenitors divide synchronously at the same rate at different locations of the future heart.
Our prospective clonal analysis based on the temporally regulated Mesp1 tracing experiments suggest that several of the previous assumptions made to estimate the number of cardiac progenitors by retrospective clonal analysis should be revised. We, and others, found no evidence of a common progenitor for the FHF and SHF but, instead, found that different pools of progenitors contribute to the morphogenesis of the different cardiac regions (Devine et al., 2014;Lescroart et al., 2014). These data suggest that the mutation in the few clones that were common from the different heart fields must have occurred before Mesp1 expression. In addition, we found that the apparent heterogeneity of surface clone size at E12.5 is not derived from the differential proliferative capacity of Mesp1 progenitors but can be fully explained by the stochastic transfer of cells in and out of the surface layer. Indeed, our analysis suggests that, over the developmental time course, different Mesp1-expressing cells share a surprising similar proliferative potential, suggesting that progenitors may follow a largely similar cell-intrinsic program. However, the homogeneity in proliferative potential does not preclude the possibility that cells progress at different rates through this program, as indicated by recent bromodeoxyuridine (BrdU) analyses, which reveal spatial heterogeneity in local proliferative activity at different times in development (de Boer et al., 2012).
The mosaically labeled hearts also reveal modes of growth that are specific to the different regions of the heart. The origin of the anisotropic growth in the OFT or isotropic growth in the other regions is still poorly understood. Such anisotropy can be driven by polarized cell divisions and/or by mechanical forces. While absence of blood flow does not impair the general morphology of the heart in vertebrates, it is possible that cardiac contraction and blood flow can contribute to the anisotropic shape of the clones, as they do during valve and trabeculae formation or ventricle remodeling (Auman et al., 2007;Koushik et al., 2001). Future studies will be required to elucidate this important question.
In contrast to clonal analysis, multicolor mosaic tracing of the heart provides an opportunity to gather information on the regional contribution of each specific cardiac progenitor and allows the visualization of the contribution of around one half of the cardiac progenitors at once in a single heart. The number of Mesp1 progenitors is not conserved across the animal kingdom, as in ascidian C. Intestinalis, the heart derives from only two Mesp+ progenitors (Satou et al., 2004), suggesting that the number of progenitors increase with the size and complexity of the heart.
The final size of the heart may intimately depend on the number of cardiovascular progenitors that are initially specified. However, little is known about the signaling that dictates the number of cardiac progenitors or the balance between their proliferation and terminal differentiation during heart morphogenesis. Future lineage ablation studies will be required to assess the importance of specifying the correct number of progenitors at the correct time, as well as the potential plasticity of the regionally distinct Mesp1 progenitors during heart morphogenesis.
In conclusion, we have developed an experimental and theoretical framework to define the number of cardiac progenitors, their spatial pattern of growth, and proliferation dynamics during heart morphogenesis. The statistical approach is general and can be adapted to define the number and proliferation dynamics of progenitors in other organs and tissues, such as the liver, pancreas, or different brain regions.

EXPERIMENTAL PROCEDURES
Mice Mesp1-Cre (Saga et al., 1999) mice were obtained from Margaret Buckingham. Rosa-Confetti mice were kindly provided by Hans Clevers (Snippert et al., 2010). TetO-Cre mice (Perl et al., 2002) were provided by Andras Nagy. Mesp1-rtTA transgenic mice were previously described (Lescroart et al., 2014). Mice colonies were maintained in a certified animal facility in accordance with European guidelines. These experiments were approved by the local ethical committee under the protocol number LA1230332(CEBEA).

Clonal SA Analysis
Labeled hearts were analyzed with an Axiozoom V16 macroscope (Carl Zeiss). For the analysis of fluorescent protein expression, a z stack was realized in each channel. The algorithm extended depth of focus of Zen Blue software (Carl Zeiss) was used to produce two-dimensional (2D) images, and the data were then merged. The SA covered by each cluster of a clone was measured using ImageJ software (Schindelin et al., 2012).

Clonal Volume Analysis
For whole-mount confocal microscopy, hearts were cleared with ScaleCUBIC-1 and ScaleCUBIC-2 solutions as described in Susaki et al. (2014). Hearts were incubated overnight at room temperature (RT) in ScaleCUBIC-1 solution and incubated at RT in ScaleCUBIC-2 solution for at least 2 days before their analysis. The whole-mount acquisitions were acquired with a biphoton confocal microscope (LSM780; Carl Zeiss). SA and volume occupied by a single Mesp1-expressing cells were analyzed with ImageJ software (Schindelin et al., 2012).

SA Analysis of Mosaically Labeled Hearts
Mesp1-Cre mice were crossed with the Rosa-Confetti reporter mice. E12.5, P1, and 6-month-old hearts were fixed in 4% paraformaldehyde for 1 to 3 hr, depending on their stage at RT. Counterstaining of nuclei was performed with Topro3 (1/500, Invitrogen). The surface acquisitions were acquired with a confocal microscope (LSM780; Carl Zeiss). SA on maximum intensity projection was measured using Fiji software (Schindelin et al., 2012).

Supplemental Information includes Supplemental Theory, Supplemental
Experimental Procedures, and one figure and can be found with this article online at http://dx.doi.org/10.1016/j.celrep.2015.12.013.

AUTHOR CONTRIBUTIONS
All the authors designed the experiments and performed data analysis. S.C. and F.L. performed the mouse experiments and confocal analysis. S.R. and B.D.S. developed the biophysical modeling schemes and performed the statistical analysis. All authors contributed to the writing of the manuscript.