Abstract
Organs vary in size between and within species to match organismal needs. Theoretical work has proposed that scaling of organs and body parts relies on energy-transport systems, the vascular system in mammals. Here, we use quantitative clonal mapping and volumetric imaging combined with novel molecular and genetic tools to identify temporal and spatial constraints that establish mouse liver size. We find that adult liver size is foreshadowed during a neonatal period when functional units, termed lobules, initiate growth. Nascent lobules are vascularized by prominent sprouting angiogenesis of the hepatic vein, restricted to the periphery of the organ. When Wnt signals are ablated in the single cell-layered mesothelium at the periphery, neonatal growth is disturbed, and the liver adopts a compromised size set point. Similarly, when venous angiogenesis is inhibited, nascent lobules remain small and the liver fails to reach proper size. In unperturbed animals, vein sprouting rapidly declines within a week after birth and well before hepatocyte division stops. These findings suggest that vascularization in the neonate assists in the determination of adult liver size. Together, these results lead us to propose a vasculature-centric experimental framework for studying organ size control and scaling in mammals.
Similar content being viewed by others
Introduction
Organ size scales with animal size in mammals that themselves vary up to a hundred million times in weight1. How mammalian organs reach their proper size across such a wide range of scales despite similar developmental trajectories is a fundamental question in biology with direct implications for regenerative medicine2,3.
Our understanding of organ size control has largely relied on studies of parenchymal cell proliferation and the relevant signaling networks1. However, parenchymal cells alone cannot support an organ; multiple cell types must integrate into anatomical units for an organ to form and function4. Indeed, one central regulator of parenchymal cell proliferation, Hippo signaling, fails to instruct architecturally normal organ growth on its own5,6,7,8. Theoretical modeling from the 1990s instead suggests that energy-distributing vascular systems are a key component of scaling body parts relative to the body9. These observations highlight the need to study organ size in the context of multicellular integration and, in particular, vascularization. Yet, experimental studies on whether or how vascularization helps determine organ size have lagged behind. The mammalian liver provides a unique experimental system to tackle this question, as liver size scales proportionally with high precision between individual animals1,10,11, offering a highly tractable model.
Here, we focus on the mouse liver to interrogate the multicellular-scale mechanisms that determine mammalian organ size. The adult liver consists of repeated functional units termed lobules12. Thus, proper liver size must be achieved by fine-tuning the size of lobules in a given individual. We investigate the mechanisms that establish liver size by studying how nascent liver lobules grow and vascularize, and, importantly, cease to grow. We use genetic lineage-tracing and quantitative clonal mapping of the vascular endothelial cells to identify actively growing, nascent lobules at the periphery of the postnatal liver. When we genetically ablate Wnt signaling from the liver mesothelium at the periphery, the liver fails to grow to the proper size. We find that the nascent lobules are dominantly vascularized by sprouting angiogenesis of the hepatic vein. When venous angiogenesis is genetically inhibited through Notch over-activation, lobules remain small and the liver fails to reach proper size. Finally, we show that venous angiogenesis rapidly declines within one week of birth, well before hepatocyte proliferation stops. This suggests that nascent lobule vascularization and growth are restricted to the neonatal period, foreshadowing final lobule size and liver size by adulthood. Our results propose lobule vascularization as an important, rate-limiting step in determining final liver size.
Results
Novel liver lobule marker reveals generation of lobules after birth
To study how lobule organization relates to liver size in mice, we sought to identify a molecular marker of mouse liver lobules. Demarcating liver lobules in rodents and humans has proven challenging, as the extracellular matrix components at lobule boundaries are scarce in these species, unlike in other mammals12,13. We found that a component of the coagulation pathway, endothelial protein C receptor (EPCR), is highly enriched in the portal veins and venules (referred to as portal vessels) and thus outlines liver lobules (Fig. 1a–a” and Suppl. Fig. 1a). To define when lobule boundaries are assembled, we assessed EPCR expression through the postnatal period (Fig. 1b, c’). Lobule boundaries were discernable as early as one week of age (Fig. 1b–b’ and Suppl. Fig. 1b–d’). These results establish EPCR as a novel marker of lobule boundaries and show that the mouse liver is organized into lobules over the neonatal period.
a–a’, Thick section of the adult mouse liver immunostained for the lobule boundary marker EPCR and the venous endothelial marker Endomucin. a”, Schematic representation of the lobule. b, c’ Thick section of the liver immunostained for the lobule boundary marker EPCR from 1 week- and 8 week-old mice. Dotted lines delineate lobules. d Increase in absolute liver weight over postnatal time for n = 4 (newborn, male), n = 6 (1 week, male), n = 7 (2 weeks, male), n = 5 (3 weeks, male), n = 5 (4 weeks, male), and n = 6 (8 weeks, male) mice. Brown-Forsythe Anova test and Dunnett’s multiple comparisons test performed. For clarity, differences between consecutive ages are shown. Adjusted p-values from left to right: <0.0001, 0.0126, 0.0049, 0.1526, 0.0002. e Liver-to-body weight ratio as percentage for n = 6 (1 week, male), n = 7 (2 weeks, male), n = 5 (4 weeks, male), and n = 6 (8 weeks, male) mice. Brown-Forsythe Anova test and Dunnett’s multiple comparisons test performed. For clarity, differences between consecutive ages are shown. Adjusted p-values from left to right: 0.0911, 0.0002, 0.3906. f Violin plot shows the distance from the central vein to portal vessels at lobule boundaries in livers of 2 week-, 4 week-, and 8-week-old male mice. Red bars represent the mean. A total of n = 210 (2 weeks), n = 147 (4 weeks), and n = 162 (8 weeks) lobules were scored in 3 mice per group. Brown-Forsythe Anova test and Dunnett’s multiple comparisons test, adjusted p-values from left to right: <0.0001, > 0.9999. g The total number of lobules in one whole liver lobe of 1 week-old (n = 3) and 8-week-old (n = 6) male mice. Mean values ± s.d. shown. Unpaired t-test, p-value = 0.0002. h–h’, Volumetric images of whole liver lobes iDisco-cleared and immunostained for the lobule boundary marker EPCR are shown in surface view in h and slice view in h’. ns, not significant. DAPI in blue depicts nuclei. Source data are provided in the Fig. 1 Source Data file.
Next, we sought to define when the stereotyped ratio of liver weight to body weight, the liver size set point, is achieved. While the mouse liver grows in absolute weight from birth until eight weeks of age (Fig. 1d), we found that it reaches its stereotyped size set point well before that, at four weeks of age (Fig. 1e). This prompted us to examine how lobule size and numbers change over the same period. Lobules became larger over postnatal time (Fig. 1f and Suppl. Fig. 1e). Strikingly, lobule size was finalized by four weeks of age (Fig. 1f), long prior to the absolute liver weight, and concurrently with the liver-to-body weight ratio (Fig. 1e, f). These results couple lobule size to the liver size set point.
To determine potential changes in lobule numbers, we assessed the total number of lobules in whole liver lobes. To this end, we utilized iDisco clearing14 combined with EPCR immunostaining and light-sheet imaging (Fig. 1g, h’ and Supplementary Movies 1, 2). Lobules could be seen covering the entire surface of the imaged livers (Fig. 1h). EPCR labeling enabled us to simultaneously visualize the portal and central vein branches feeding into the lobules deep through the organ (Fig. 1h’). Unexpectedly, quantification of mature lobules revealed a twofold increase in lobule number over the postnatal period (Fig. 1g), indicating that close to half of adult liver lobules are in nascent form at birth and grow postnatally.
These findings suggest that the adult liver size set point is established postnatally through two mechanisms, lobule enlargement and nascent lobule growth.
Cells divide and expand dramatically in lobules at the organ periphery
To understand what factors constrain liver size, we tracked the growth of nascent lobules in the postnatal liver. We reasoned that growing a lobule from its beginnings would require substantial cell proliferation. To survey the extent of proliferation, we measured the frequency of mitoses in full liver sections by phospho-histone H3 (pHH3) labeling. This analysis indeed identified high levels of hepatocyte division in the neonate (Fig. 2a and Suppl. Fig. 2a, b’). Spatial distribution of mitotic cells in the neonate was surprisingly uneven, with a strong enrichment towards the edge of the liver (Fig. 2b, c). This indicated that more cell division occurs at the edge of the neonatal liver.
a Quantification of mitotic hepatocytes by phospho-histone H3 (pHH3) and Hepatocyte nuclear factor 4a (Hnf4a) labeling at postnatal ages (P). Mean values ± s.d. n = 4 male mice per group, except n = 2 mice at P1 and n = 3 mice at P4. Ordinary one-way Anova analysis and Tukey’s multiple comparisons test performed. For clarity, significant differences between consecutive ages are shown. Adjusted p-values from left to right, including the non-significant comparisons between consecutive ages: 0.9749, 0.9050, 0.0189, 0.9996, 0.0398. b Thick liver section at 8 days immunostained for pHH3. b’ Post-processing of image in (b) with intensity thresholding and particle analysis. c Quantification of pHH3+ cells at the edge and the core at 8 days from nnem> = 3 mice. Mean values ± s.d. Unpaired t-test, p-value = 0.0054. d Schematic summary of the experimental design to map hepatocyte expansion. e, f” Tbx3CreERT2; Confetti thick liver section immunostained for GFP and RFP to visualize the early labeling at 1 week and the clones at 8 weeks. g Schematic summary of the experimental design to map endothelial cell expansion. h, i” VE-CadherinCreERT2; Confetti thick liver section immunostained for GFP and RFP to visualize the early labeling at 1 week and the clones at 8 weeks. j Endothelial clone size distribution from VE-CadherinCreERT2; Confetti livers at 8 weeks, n = 457 clones from 3 mice. k Clones in (i) filtered by size ( > 3 × 104 µm2) to visualize only the giant clones. l, l’, Merge of image in (i) with EPCR immunostaining with the periphery delineated (dotted line). m Comparison of endothelial clone size between the core and the periphery in 8-week-old mice. Mean values ± s.d. per mouse (left) and individual clone values (right). n = 128 clones in the periphery and n = 329 clones in the core from 3 mice. Left: Ratio paired t-test, p-value = 0.0417. Right: Welch’s t-test, adjusted p-value = 0.036. DAPI in blue depicts nuclei. tam, tamoxifen. Source data are provided in the Fig. 2 Source Data file.
We asked whether the uneven distribution of cell division translates to biased growth over the postnatal period. We monitored the long-term expansion of cells in the liver for hepatocytes and cells of the hepatic vasculature. To assess hepatocyte expansion, we performed lineage tracing using an inducible Tbx3Confetti mouse model where Tbx3CreERT2 drives the Confetti reporter upon Tamoxifen administration (Fig. 2d). Tbx3 is neonatally expressed in many hepatocytes except those in the periportal zone15 (Suppl. Fig. 1a). We sparsely labeled the cells at one day of age and confirmed that, by one week of age, hepatocytes were labeled across the liver (Fig. 2e). By adulthood, many hepatocytes had formed multicellular clones (Fig. 2f). The clones were distributed across the liver, suggesting that growth occurred across the organ. However, we noted that particularly large clones had emerged towards the edge of the liver (Fig. 2f–f” and Suppl. Fig. 2c). Labeling of hepatocytes using the previously established R26CreERT2, 16,17 (R26Confetti) similarly revealed larger clones towards the edge of the liver (Suppl. Fig. 2d–f).
We next assessed the expansion of another major liver cell type, vascular endothelial cells, as vascularization is indispensable for the growth of the organ18,19,20,21. We targeted endothelial cells across vessel subtypes, i.e., veins, arteries, and capillaries, by combining the tamoxifen-inducible pan-endothelial VE-CadherinCreERT2 with the Confetti reporter system (VeCadConfetti). We sparsely labeled the cells at one day of age and performed clonal analysis at adulthood (Fig. 2g). Labeled endothelial cells were detectable throughout the liver one week following tamoxifen induction (Fig. 2h), indicating that labeling occurs efficiently across the organ. By adulthood, most single cells expanded into multicellular clones (Fig. 2i–i”). Similar to hepatocytes, endothelial cells expanded across the liver, but larger endothelial clones appeared towards the edge (Fig. 2i–i”). Intriguingly, rare clones over 30,000 µm2 in area emerged, which we refer to as giant clones (Fig. 2j). These giant clones were strictly localized towards the edge of the liver (Fig. 2k).
The co-occurrence of larger endothelial and hepatocyte clones suggested accelerated growth at the edge of the organ. To test if this underpins nascent lobule growth, we mapped the endothelial clones against EPCR-marked lobule boundaries. This uncovered a striking relationship: the giant clones were 4 times more likely to reside within the outermost lobules at the edge of the liver, referred to as the periphery (Fig. 2l–l’ and Suppl. Fig. 2g). We confirmed that this is not due to differences in labeling efficiency (Suppl. Fig. 2h). Endothelial and hepatocyte clones in the periphery defined by lobule boundaries were significantly larger on average compared to the clones in the core (Fig. 2m and Suppl. Fig. 2c, f). Similarly, endothelial EdU incorporation was significantly higher at the periphery of the postnatal liver (Suppl. Fig. 2i, j). These results demonstrate that peripheral lobules grow extensively and are likely the youngest lobules.
Considering the increase in mature lobule number over the postnatal period, these findings suggest that the peripheral liver lobules initiate growth after birth.
Mesothelial Wnts in the neonate fine-tune adult liver size
We hypothesized that the liver periphery must contain a source of growth signals to promote the development of nascent lobules. A single epithelial layer, the mesothelium, encapsulates the liver at its periphery and is a known source of mitogens in the embryo22,23,24. Among these mitogens, Wnts are highly expressed in the mesothelium22 and are well-known regulators of liver growth25. Indeed, the postnatal hepatic mesothelium expressed several Wnt ligands (Suppl. Fig. 3a–c) and Wntless required for Wnt secretion (Fig. 3a–a’), motivating us to test the role of mesothelial Wnt signals.
a–a’, In situ hybridization on a representative wildtype liver section for Wntless and the mesothelial-specific Wilms Tumor 1 (WT1) at 8 days. b Schematic summary of the experimental design to determine the role of mesothelial Wnt signaling in postnatal growth and size control of the liver. tam, tamoxifen. c Thick left lobe liver sections of control and mesothelial-specific Wntless knock-out, or Wntlessmeso, mice at 8 days old, immunostained for phospho-histone H3. d Quantification of mitosis enrichment in the liver periphery for 8 days old control (n = 4) and Wntlessmeso (n = 3) mice measured as the ratio of mitotic index in the periphery to that in the core. Mean values ± s.d. Unpaired t-test, p-value = 0.0376. e Left, Liver-to-body weight ratio of 2-week-old male control (n = 5), 2-week-old male Wntlessmeso (n = 3), 3-week-old male control (n = 3), and 3-week-old male Wntlessmeso (n = 3) mice. Right, Liver-to-body weight ratio of 8-week-old male control (n = 15) and Wntlessmeso (n = 7) mice, color-coded by litter. Mean values ± s.d. Unpaired t-test, p-value = 0.0464. f Correlation between liver-to-body weight ratio and lobule size is shown for lobules in the core and at the periphery. Lobule size measured as absolute lobule area (left) and the number of nuclei per lobule (right). Data plotted from 8-week-old male control (n = 4) and Wntlessmeso (n = 4) mice. Two-tailed Pearson correlation with 95% confidence interval used, p value for periphery = 0.02, for core = 0.56. g–g” Thick liver sections of male control and Wntlessmeso mice immunostained for the venous marker Endomucin and the lobule boundary marker EPCR. g’ and g” show single lobules from each genotype. h–k’ In situ hybridization on liver sections from 14-day-old male control and Wntlessmeso mice for pericentrally expressed Glul combined with periportally expressed Cyp2f2 in (h, i’) and Tbx3 combined with Axin2 in j, k’. h’–k’ show high magnification from respective low magnification images annotated with the matching letter. CV, central vein. PV, portal vessel. Source data are provided in the Fig. 3 Source Data file.
We generated mice with mesothelial-specific, inducible Wntless loss of function, WT1CreERT2; Wntlessf/f (Wntlessmeso) (Fig. 3b and Suppl. Fig. 3d–j). Depletion of mesothelial Wntless in neonates was sufficient to dampen the peripheral enrichment of mitosis (Fig. 3c, d and Suppl. Fig. 3k). While mitotic activity in control livers was concentrated to the periphery, mesothelial Wntless deletion led to a more even distribution of mitotic cells across the liver. This was accompanied by a progressive decline in liver size set point relative to controls (Fig. 3e). In adult Wntlessmeso males, the liver-to-body weight ratio was significantly lower (Fig. 3e and Suppl. Fig. 3l–n). Wntlessmeso mice and littermates showed considerable variability in liver-to-body weight ratios (Fig. 3e), presenting an opportunity to test whether liver size correlates with lobule size in individual mice. We divided the lobules into those at the periphery and in the core, and asked how the average lobule size in either location correlates with liver-to-body weight ratio. This analysis revealed a strong correlation of liver-to-body weight ratio with lobule size at the periphery (Fig. 3f). In striking contrast, lobule size in the core showed no correlation with liver-to-body weight ratio (Fig. 3f). These results suggest that nascent lobule growth at the periphery, and not lobule enlargement in the core, is a determinant of the liver size set point.
Wntlessmeso livers displayed grossly normal architecture (Fig. 3g–g”), biliary organization (Suppl. Fig. 3o, p), and zonation (Fig. 3h–k’ and Suppl. Fig. 3q, r) in addition to normal lobule numbers (Suppl. Fig. 3s), uncoupling growth control from organization and zonation in the liver. To test whether reduced liver size in Wntlessmeso was due to defective growth initiation in the neonate, we induced Wntlessmeso ablation after the neonatal period is complete. In contrast with early Wntless ablation, late Wntlessmeso mice had comparable liver-to-body weight ratios to controls (Suppl. Fig. 3t). These data supported a role for mesothelial Wnt signals specifically in the neonatal liver, followed by an impact on final liver size.
Together, these results identify the mesothelium as an unexpected organizer of liver growth and demonstrate that mesothelial Wnts contribute to liver size determination. Importantly, these findings reveal peripheral lobule growth as a determinant of the liver size set point.
Peripheral vascularization of venous origin demarcates newly formed lobules
Consistent with nascent lobule growth and biased endothelial expansion at the periphery, we found the angiogenic cue Vegf-c26 concentrated in and near the liver mesothelium (Suppl. Fig. 3u, v). These observations prompted us to ask how nascent lobules become vascularized. Vascularization is likely to reveal key aspects of lobule formation, as blood vessels provide reliable landmarks in the lobule12,13. To study lobule vascularization, we first needed to gain genetic access to hepatic vessel subtypes. Thus, we surveyed a series of tamoxifen-inducible vascular endothelial Cre mouse lines (Suppl. Fig. 4). Among these, two lines were successful at targeting the large vessels of the lobule: ApelinCreERT2 that labeled the central veins (Suppl. Fig. 4b), and Efnb2CreERT2 that labeled the portal vessels (Suppl. Fig. 4c). By crossing these lines into the Confetti or the mTmG reporter, we induced labeling soon after birth (Fig. 4a, d) and assessed the contribution of each vessel type to the vascularization of nascent lobules at the periphery.
a Schematic summary of the experimental design to assess central vein-derived clonal expansion. b–b”, ApelinCreERT2; Confetti thick liver section immunostained for GFP and RFP to mark the clones at 8 weeks. The dotted line delineates the periphery. c Quantification of ApelinCreERT2; Confetti clone size measured as the number of cells per clone in the periphery compared to the core in 8-week-old mice. n = 70 clones in the core and n = 30 clones in the periphery from 3 mice were scored. Red bars represent the mean values. Welch’s t-test, p-value = 0.0108. d Schematic summary of the experimental design to assess central vein-specific lineage tracing. e ApelinCreERT2;mTmG thick liver section immunostained for GFP to visualize the early labeling at 1 week. f–f”’, ApelinCreERT2;mTmG thick liver section immunostained for GFP and EPCR to visualize the tracing at 8 weeks. Dotted line delineates the periphery. Arrows in (f) show two neighboring lobules with dramatically different amounts of expansion. Arrows in (f”) and (f”’) show labeled cells within portal veins. g–g’ ApelinCreERT2;mTmG thick liver section taken from the left lobe immunostained for GFP and EPCR at 8 weeks. Dotted line in (g’) delineates the lobule boundaries. h Quantification of central vein-derived expansion in 8-week-old ApelinCreERT2;mTmG livers in the periphery compared to the core. n = 3 mice, mean values ± s.d. Ratio paired t test, p-value = 0.0290. i Representative ApelinCreERT2;mTmG thick liver section immunostained for GFP and the sinusoidal marker Lyve1 to visualize the outcome of tracing in sinusoids. Dotted line delineates the lobule boundaries. j Cross-slice of iDisco-cleared ApelinCreERT2;mTmG whole lobe immunostained for GFP and EPCR. Dotted line delineates lobule boundaries. j’ Cartoon representation of lobule and non-lobule arrangements. Central vein lineage tracing outcome is not represented for clarity. DAPI in blue depicts nuclei. tam, tamoxifen. CV, central vein. PV, portal vessel. Source data are provided in the Fig. 4 Source Data file.
Endothelial cells of portal vessels formed clones as seen with Efnb2Confetti tracing (Suppl. Fig. 5a–c); these clones were similarly sized and not spatially biased (Suppl. Fig. 5b’, c). By contrast, central vein endothelial cells marked by ApelinConfetti formed clones of highly varying sizes (Fig. 4b, b”), evidently larger in the periphery than in the core (Fig. 4c and Suppl. Fig. 5d). These data demonstrated that central vein cells expand preferentially at the periphery, raising the possibility that central veins serve as origins of vasculature in nascent lobules.
To test whether central veins indeed vascularize nascent lobules, we labeled all central veins in the neonate using the mTmG reporter (ApelinmTmG) and traced the vein compartment as a whole until adulthood (Fig. 4d, and Suppl. Fig. 5c). Remarkably, endothelial cells sprouted and expanded out from the vein into the surrounding lobule in most lobules (79%) (Fig. 4e–g and Suppl. Fig. 5f, g). Central vein cell expansion was most pronounced in peripheral lobules; here, the progeny frequently reached the lobule boundaries (Fig. 4f’-h). Vein-derived progeny also reached and contributed to the portal vessels (Fig. 4f”-f”’, arrows). Since the lobule vascular bed is mainly composed of sinusoids13,27, these results implied that the sprouting vein cells differentiate into sinusoids. To determine whether that is the case, we co-labeled ApelinmTmG livers with the hepatic sinusoid marker Lyve127. Indeed, the vein cell progeny overlapped with sinusoids (Fig. 4i). These results identify the central vein as a vascularization source in nascent lobules.
Interestingly, each lobule was vascularized as an independent unit. Every ApelinConfetti clone examined was entirely contained within the same lobule as the vein of origin and did not cross over to neighboring lobules (Fig. 4b, b” and Suppl. Fig. 5g). Furthermore, the extent of expansion was independent in each lobule. In two neighboring lobules, for instance, the vein of one lobule exhibited major expansion while the vein of the other expanded minimally (Fig. 4f, arrows). These data indicate that central vein cells sense lobule boundaries as they expand and solely vascularize their respective lobule. These findings suggest that central vein cell expansion can serve as a proxy for growth in a lobule.
If vein cell expansion is a suitable proxy for lobule growth, the expansion should be restricted to lobules and not occur in regions of the organ without proper lobule arrangement. To test this idea, we performed iDisco and whole lobe imaging of ApelinmTmG livers (Supplementary Movie 3). Volumetric imaging revealed vein cell expansion throughout the liver, distinguishing the regions with and without lobule arrangement. In lobules, the central vein terminus was seen crossing through the center, with cross-sections of portal vessels at the boundaries (Fig. 4j–j’). By contrast, in regions lacking lobule arrangement, central vein trunks were seen running longitudinally (Fig. 4j–j’). Strikingly, the expansion from central veins was restricted to lobules and did not occur in the non-lobule regions (Fig. 4j–j’). These data reinforce the suitability of central vein cell expansion as a proxy for lobule growth.
To rule out potentially rare but significant expansion from portal vessels that could contribute to new lobules, we also performed lineage-tracing of portal vessels using Efnb2mTmG. This was particularly important given the low frequency of clone induction in Efnb2Confetti mice (see “Methods”). Efnb2mTmG tracing studies showed minimal expansion of the cells out of their original portal vessel compartment and no biased expansion in peripheral lobules (Suppl. Fig. 5h–l’). Thus, central veins, and not portal vessels, serve as a source of vascular beds in newly forming nascent lobules. These results establish central vein cells as a source of vascularization and venous angiogenesis as a proxy for nascent lobule growth.
Nascent lobule growth at the periphery requires venous angiogenesis
Our findings led us to hypothesize that vein-derived vascularization is required for nascent lobule growth. We next sought to test this idea by genetically inhibiting venous angiogenesis. We took advantage of the Notch intracellular domain (NICD) overexpression system28 that has been shown to hamper sprouting angiogenesis in multiple tissues29,30,31,32, and targeted this system to central veins and venules using the APJCreERT2 mouse line33 (Fig. 5a and Suppl. Fig. 4e). We chose this line over ApelinCreERT2 as it evaded mosaicism caused by X-linkage and left the Apelin locus intact (see Methods). As an added advantage, the use of APJCreERT2 maximized coverage of venule endothelial cells (Suppl. Fig. 4b, e) that would otherwise sprout out from the vein and continue to expand (Fig. 4b”, f”) before Tamoxifen induction completes in pups.
a Schematic summary of the experimental design to assess the impact of Notch intracellular domain overexpression in the venous endothelium. b–b” APJCreERT2;mTmG (control) and APJCreERT2;mTmG;NICD (NICDvenous) male thick liver sections immunostained for GFP at 26 days. c–g, APJCreERT2;mTmG (control) and APJCreERT2;mTmG;NICD (NICDvenous) male thick liver sections immunostained for EPCR at 26 days. Dotted lines in (d–g) delineate the lobule boundaries. h Quantification of lobule size measured as absolute lobule area (left) and the number of nuclei per lobule (right) in APJCreERT2;mTmG;NICD (NICDvenous, n = 5) and littermate control (n = 5) males at 26 days at the periphery of the liver. Each dot represents a lobule. Black bars represent mean values. Unpaired t-test, p-value = 0.0023 (left) and 0.0176 (right). i, j Liver-to-body weight ratio and liver weight of 26-day-old male APJCreERT2;mTmG;NICD (NICDvenous, n = 6) and littermate control (n = 22) mice. Mice are color-coded by litter, and color-matched lines mark the difference between average values of control and NICDvenous within each litter. Two-way Anova and Tukey’s multiple comparisons test were performed. Adjusted p-value for liver-to-body weight ratio = 0.0003, for liver weight = 0.0013. tam, tamoxifen. CV, central vein. Source data are provided in the Fig. 5 Source Data file.
APJCreERT2;mTmG livers exhibited considerable label coverage by weaning age (Fig. 5b, left), confirming the prevalence of venous angiogenesis in the postnatal liver. Upon induction of ectopic Notch activity in the venous endothelium in APJCreERT2;NICD;mTmG (NICDvenous) mice, angiogenesis was hampered (Fig. 5a, b”). These results indicated that the venous endothelium depends on a Notch-low state to undergo sprouting, as established in other tissues29,30,31,32. We then asked how hampered venous angiogenesis impacts lobule growth. Analysis of lobules at the periphery revealed that NICDvenous livers fail to grow nascent lobules to proper size (Fig. 5c–h). In stark contrast, lobules in the core of NICDvenous livers were larger on average (Suppl. Fig. 6a), suggesting no requirement of venous angiogenesis, and hinting at potential compensatory growth in the core. These data indicated that veins and venules vascularize nascent lobules at the periphery, but not lobules in the core, despite ongoing lobule enlargement. Indeed, NICDvenous livers were comparable to controls in size at early postnatal ages (Suppl. Fig. 6b). However, by weaning age, NICDvenous liver growth lagged behind, with a disrupted liver-to-body weight ratio in males (Fig. 5i, j and Suppl. Fig. 6c–k). NICDvenous animals displayed high mortality with increasing age and did not survive to adulthood (Suppl. Fig. 6l). This is in line with insufficient liver growth and the presence of other abnormalities, including cardiac hypertrophy and overall stunted growth in NICDvenous mice. Endothelial Notch overexpression in the liver has previously been shown to reduce Wnt expression34,35, which might underlie reduced liver size. We tested whether the lag in NICDvenous liver growth could be explained by reduced Wnt signals as opposed to hampered angiogenesis. NICDvenous animals exhibited endothelial Wnt expression comparable to controls (Suppl. Fig. 6m), arguing against Wnt-dependent liver size reduction in these mice. Importantly, lobule number was unaffected in NICDvenous livers (Suppl. Fig. 6n), indicating that lobule number is set independent of postnatal venous angiogenesis, likely before birth.
Together, these findings are in line with the notion that venous angiogenesis helps establish proper liver size through vascularization of nascent lobules. While we cannot definitively conclude that disrupted liver growth in NICDvenous mice is due to hampered venous angiogenesis, our results support a distinctive role for venous angiogenesis in vascularizing newly formed liver lobules.
Central vein cell sprouting declines rapidly during the neonatal period
Our findings suggested that the extent of nascent lobule growth determines final liver size (Fig. 3f). This prompted us to ask when nascent lobules cease to grow and limit liver size. To identify when nascent lobule growth terminates, we monitored central vein cell sprouting.
We labeled central vein cells in one-day versus one-week-old pups and compared their respective expansion by adulthood (Fig. 6a–f). This revealed a striking difference. When labeled at one week of age, central vein cells expanded minimally by adulthood, occupying only a small fraction of the periphery (Fig. 6c). This was in stark contrast with widespread expansion in peripheral lobules when central vein cells were labeled at one day of age (Fig. 6e, f). This difference may be caused either by major cellular expansion within the first week itself or a decline in the initial sprouting of the cells by one week of age. We assessed cellular expansion within the first week and found it to be minimal (Suppl. Fig. 4b). Interestingly, the expression of Apelin in the central vein endothelium followed a similar trajectory. Apelin was expressed at high levels in central vein endothelial cells at neonatal ages and was virtually absent in later life (Suppl. Fig. 7a), consistent with its pro-angiogenic nature36,37,38,39,40. These results together identify a rapid decline in the initial sprouting of central vein cells within the first postnatal week.
a Schematic summary of the experimental design to assess central vein lineage tracing induced at 1 week (injections on postnatal days 6 and 7). b ApelinCreERT2;mTmG thick liver section immunostained for GFP to visualize the early labeling at 2 weeks. c ApelinCreERT2;mTmG thick liver section immunostained for GFP and EPCR to visualize the tracing from 1 week to 8 weeks. The dotted line delineates the periphery. d Schematic summary of the experimental design to compare central vein lineage tracing induced at 1 day (injections at postnatal days 1–3) versus 1 week (injections on postnatal days 6 and 7). e–e’, The periphery of ApelinCreERT2;mTmG livers lineage traced from 1 day-to-8 weeks in (e) and 1 week-to-8 weeks in (e’) immunostained for GFP. f Quantification of central vein-derived expansion from 1 day-to-8 weeks compared to 1 week-to-8 weeks at the periphery and in the core. n = 3 males per group, mean values ± s.d. Two-way Anova and Tukey’s multiple comparisons test performed. Adjusted p-value for core = 0.9612, for periphery = 0.0116. g Schematic summary of the experimental design to map endothelial cell expansion from 1 week on. h VE-CadherinCreERT2; Confetti thick liver section immunostained for GFP, RFP, and EPCR to spatially map the clones that formed from 1 week to 8 weeks. i Comparison of endothelial clone size in 8-week-old mice that were traced from 1 day versus from 1 week. n = 457 clones from 3 mice (labeled at 1 day) and n = 702 clones from 3 mice (labeled at 1 week). Blue bars represent mean values. Welch’s t-test, p-value = 0.0909. j Schematic model of multicellular scale mechanisms that determine liver size. DAPI in blue depicts nuclei. ns, not significant; tam, tamoxifen. Source data are provided in the Fig. 6 Source Data file.
We next sought to determine whether the drastic temporal change in sprouting is specific to vein endothelial cells, as opposed to occurring across endothelia. We performed VecadConfetti labeling in one-week-old pups and asked how the clonal expansion by adulthood compares to expansion from one day of age in bulk endothelial cells. We found that the average clone size as well as the clone size distribution are largely similar between those monitored from 1 day versus 1 week of age (Fig. 6g–i and Suppl. Fig. 7b–d). Thus, the majority of endothelial cells do not exhibit a drastic change in expansion behavior over the first postnatal week, and the rapid decline in sprouting is unique to central vein cells.
These findings suggest that the progenitor behavior of central vein cells is restricted to the neonatal period. Meanwhile, the progeny of central vein cells continues to expand more at the periphery after the neonatal period (Suppl. Fig. 7e). This is consistent with continued vascularization and enlargement of the peripheral lobules over the extended postnatal period.
Together, these results identify a bottleneck for nascent lobule growth within the neonatal week. Notably, this timing precedes the decline of cell proliferation in the postnatal liver41 (Fig. 2a). Thus, vein cell sprouting emerges as a limiting factor in nascent lobule growth and in determining final liver size.
Discussion
Our results identify five steps of multicellular integration that presage the mouse liver size. At birth, the liver is immature with no recognizable lobules (Fig. 6j). Over the first week after birth, the liver tissue is assembled into lobules (lobule assembly). Meanwhile, nascent lobules initiate primary growth at the organ edge, vascularized by sprouting at central vein endings (nascent lobule growth). Newly growing lobules obey pre-existing lobule boundaries. By the second week, vascular progenitors stop sprouting, and nascent lobules terminate primary growth, setting a limit on final liver size (conclusion of nascent lobule growth). Lobules at the edge continue to grow through proliferation of hepatocytes and endothelial cells (lobule enlargement), until all lobules reach proper size by weaning age (conclusion of lobule enlargement). At weaning, lobule size is finalized, and the organ reaches its stereotyped size in ratio to the body (Fig. 6j).
These findings extend previous work that has defined the neonatal period as the endpoint of functional unit addition in other rodent organs42,43. We therefore propose that the neonatal period is a decisive period for rodent organ size control. Our results identify growth at the periphery of the liver as a limiting factor on adult mouse liver size, extending previous findings in vertebrates44,45. While the adult liver alters its size in response to perturbations46, our findings suggest that liver size is pre-constrained during development by determinants of lobule growth. Future research will be necessary to study in depth how nascent lobule growth co-occurs with other processes, such as bile duct development and zonation41,47. We find that the single cell-layered mesothelium encasing the liver spatially organizes growth and ensures that the liver will reach its stereotyped size. The mesothelium encapsulates most vertebrate internal organs48, warranting further investigation into the role of this cell layer in organ growth and size control. At the center of this work, our results identify the hepatic vein as a required in vivo vascular source for the growth of nascent functional units in the mouse liver. Future Notch-independent manipulations will be invaluable to further interrogate the role of hepatic vein angiogenesis. Notably, we find that the process of size determination in the liver is sex-dependent, motivating future studies on sex-specific mechanisms. While our work focused on the postnatal growth period, the regenerating liver must similarly engage size control. Our results motivate future research into the mechanisms of vascularization and lobule growth during liver regeneration. Together with previous work49,50,51,52, our findings contribute to a foundation for building vascularized liver functional units with bona fide organization and size for regenerative medicine applications.
Finally, we demonstrate that the vascular source of new functional units is lost prior to the decline of hepatic cell proliferation in the liver. This implies that liver growth is limited by expansion of the vascular network rather than hepatic cell proliferation. Theoretical studies have previously proposed vascular geometry as a key determinant of allometric scaling in biology9. According to this model, the scaling of body parts with organism size can be explained by the features of branching transport systems, the vascular system in mammals. Our experimental results advance this theoretical work and lead us to postulate that temporally limited vascular expansion in mice helps scale liver size. Overall, this study provides a unique framework that we expect will guide future investigations into organ growth and size control.
Methods
Mice
The Institutional Animal Care and Use Committee at Stanford University approved all animal methods and experiments. Animal experiments were performed with mouse pups and adult male and female 8-week-old mice. Data from males and females were pooled unless otherwise noted below or in the figure legends. Weaning age was set at 22–25 days. All mice were housed under a 12 h:12 h light:dark cycle at 22–25 °C and 30–70% humidity. Mice received rodent chow and water ad libitum. C56BL/6 mice were used for wild-type studies. mTmG (007676), Confetti (017492), R26 CreERT2 (008463), WT1CreERT2 (010912), and NICD (008159) mice were purchased from The Jackson Laboratory and bred in-house. Tbx3CreERT2 was generated by our lab53. VE-CadherinCreERT2, also called Cdh5-PAC-CreERT2 or Cdh5-cre/ERT21Rha, mice were generated by the Adams Lab54. Wntlessflox mice were a gift from Alan Cheng and were generated by the Lang Lab55. ApelinCreERT2 mice were generated by the Zhou lab56 and have been used as an invaluable tool to target sprouting endothelial cells36,37,38,39,40, in line with the identification of Apelin as an angiogenic factor and marker57,58,59. Lyve1CreERT2 mice were a gift from Darci Fink and were generated by the Tempero Lab60. Esm1CreERT2 mice were a gift and were generated by the Adams Lab61. APJCreERT2 mice were generated by the Red-Horse lab33. Efnb2CreERT2 mice were generated by the Loh lab62.
CreERT2 mice were crossed into mTmG or Confetti mice for lineage tracing and clonal mapping studies. To study Wntless loss-of-function in the mesothelium, WT1CreERT2 mice were first crossed into Wntlessflox/flox mice. Then, WT1CreERT2; Wntlessflox/+ or WT1CreERT2;Wntlessflox/flox mice were crossed into Wntlessflox/flox mice. Wntlessflox/+ and Wntlessflox/flox littermates were used as controls. For ApelinCreERT2 lineage tracing studies, only males were used in order to avoid mosaic X chromosome inactivation, as the Apelin gene is X-linked.
Tamoxifen treatment and lineage-tracing studies
Pups were induced with Tamoxifen by intragastric injection before postnatal day 3 and by intraperitoneal injection afterwards. The doses and timing of injection were as follows: Tbx3CreERT2 x Confetti at postnatal day P1 (0.1 mg/ml), R26CreERT2 x Confetti at P1 (0.067 mg/ml), VE-CadherinCreERT2 x Confetti at P1 (0.067 mg/ml), VE-CadherinCreERT2 x Confetti at P7 (0.1 mg/ml), WT1CreERT2;mTmG and WT1CreERT2;Wntlessflox/flox at P1, P2, P3 (2 mg/ml each), ApelinCreERT2 x Confetti at P1 (2 mg/ml), Efnb2CreERT2 x Confetti at P1 (2 mg/ml), ApelinCreERT2 x mTmG at P1, P2, P3 (2 mg/ml each), ApelinCreERT2 x mTmG at P6, P7 (2 mg/ml each), Efnb2CreERT2 x mTmG at P1, P2, P3 (2 mg/ml each), Efnb2CreERT2 x mTmG at P6, P7 (2 mg/ml each), Lyve1CreERT2 x mTmG at P1, P2, P3 (2 mg/ml each), APJCreERT2 x mTmG at P1, P2, P3 (2 mg/ml each), Esm1CreERT2 x mTmG at P7 (2 mg/ml each), and APJCreERT2 x NICD at P1, P2, P3 (2 mg/ml each). Tamoxifen was dissolved in sterile corn oil with 10% ethanol. One week following Tamoxifen induction, tissues were collected for initial labeling analysis based on previous studies63.
EdU incorporation studies
C56BL/6 wildtype pups were intraperitoneally injected with EdU at P10 or P15 (1 mg EdU / 25 g body weight). 4 h later, pups were sacrificed and livers were collected, fixed in 4% paraformaldehyde overnight at 4 °C, and processed for vibrating microtome sectioning.
Vibrating microtome sectioning and immunostaining
Thick section processing and immunostaining protocol was adapted from Snippert et al, 201164. For embedding and sectioning, Precisionary compresstome equipment and tools were used (VF-310-0Z). Briefly, livers were isolated and fixed in 4% paraformaldehyde overnight at 4 °C followed by PBS washes (3 × 10 min). For sectioning adult samples and postnatal samples older than one week, the whole left median lobe or half of the left liver lobe was embedded curvature down. The embedding was performed in the manufacturer’s mold in 4% ultrapure low-melting agarose prepared in PBS. For the sectioning of livers from younger pups, the whole left median lobe was embedded floating over a microcentrifuge tube cap in the mold to obtain proper agarose levels for reliable sectioning. The samples were left in the embedding mold for 5 min followed by incubation in the provided ice block for 10 min. The adult samples and postnatal samples older than one week of age were sectioned at 100 µm, while samples from younger pups were sectioned at 50 µm. All sectioning was carried out at a speed set to 3 and a vibration set to 4.
For immunostaining, the compresstome sections were permeabilized in PBS containing Triton X-100 0.1% for 1 h, blocked in PBS with Triton X-100 0.1% containing normal donkey serum at 5% for 1 h, and incubated in primary antibodies listed in the antibodies section for 2 overnights at 4 °C. The sections were then washed in PBS containing Triton X-100 0.1% (4 x 15 min) and incubated in secondary antibodies raised in donkey conjugated to Alexa Fluor 488, 555, or 647 (1:400; Jackson Immunoresearch Labs) overnight at 4 °C. Next, the sections were washed in PBS containing Triton X-100 0.1% (4 x 15 min), incubated in DAPI solution in PBS (1:10000, ThermoFisher, D1306) for 30 min, and washed again for 15 min. Lastly, using a paintbrush, the sections were mounted on a slide with Prolong Gold with DAPI (Invitrogen) and protected with a coverslip.
For EdU incorporation studies, compresstome sections were treated with antigen retrieval solution following permeabilization and prior to blocking. Antigen retrieval was performed in Tris Buffer (Vector Labs H-3301) in a pressure cooker at low setting for 10 min. Following cool-down, sections were blocked. Next, EdU Click-it staining was performed according to the kit instructions (ThermoFisher C10337) for 1 h at room temperature. After this step, the sections were incubated in primary antibodies, and the regular compresstome staining protocol was followed.
Paraffin sectioning and immunostaining
Livers were collected and fixed in 10% neutral buffered formalin overnight at room temperature. After three PBS washes, livers were dehydrated through 30 min incubations in a series of increasing Ethanol concentrations (30, 50, 70, 95, 100% x3) followed by HistoClear (x2) (National Diagnostics, HS-200) and a paraffin rinse. Livers were left in paraffin overnight at 65 °C. Next day, lobes were embedded in paraffin laying on the larger surface for coronal sectioning. Left median liver lobes were used. 5 µm paraffin sections were generated on the microtome. For in situ hybridization, water contact of sections did not exceed 1 min. Sections were dried at 40 °C on a slide warmer for up to 4 h. Paraffin immunostaining was performed as described before15. Briefly, deparaffinization was performed through 5 min incubations in HistoClear (x2), and decreasing concentrations of Ethanol (100% x2, 95, 70, 50%). After PBS rinse, antigen retrieval was performed in Tris Buffer (Vector Labs H-3301) in a pressure cooker at high setting for 30 min. Following cool-down, sections were blocked in a humidified chamber for 1 h in 5% normal donkey serum in PBS containing Triton X-100 0.1%, and incubated in primary antibodies in the same base solution overnight at 4 °C. Following three PBS washes, sections were incubated in secondary antibodies for 2 h at room temperature, washed in PBS three times, incubated in DAPI solution in PBS (1:10000, ThermoFisher, D1306) for 10 min, washed in PBS and mounted using Prolong Gold (with DAPI).
Confocal imaging
Immunostained compresstome or paraffin liver sections were imaged using a Leica SP8 white light laser confocal. 10X air and 20X multi-immersion (with glycerol) objectives were used. Images of full liver sections were tiled and stitched by automatic merge using the Navigator view on the LasX Software (3.5.5.19976). Z stacks of images were projected into a 2-dimensional image by applying the maximum intensity projection in FIJI (ImageJ).
In situ hybridization
In situ hybridization on postnatal liver samples was performed using the high-sensitivity RNA amplification and detection technology RNAscope (Advanced Cell Diagnostics). The samples were treated according to the manufacturer’s instructions. Briefly, the samples were fixed in 10% neutral buffered formalin overnight at room temperature. The samples were paraffin-embedded, and the left median liver lobes were sectioned within three days prior to and baked the day before in situ hybridization. The RNAscope chromogenic 2.5 HD Duplex Detection Kit was used. The antigen retrieval step was performed for 12 min. The signal detection steps were performed for 30 min. In situ hybridization paraffin sections were imaged at 10X or 20X magnification using a Zeiss Imager Z.2, and images were processed and analyzed in FIJI (ImageJ). The used probes are as follows: Mm-Procr-Ch2 (410321-C2), Mm-Tbx3-Ch1 (438211), Mm-Glul-Ch1 (426231), Mm-Cyp2f2-Ch2 (451851-C2), Mm-Axin2-Ch2 (400331-C2), Mm-Wnt2b-Ch1 (405031), Mm-Wnt4-Ch1 (401101), Mm-Wnt5b-Ch1 (405051), Mm-Pecam-Ch2 (316721-C2), Mm-Wnt2-Ch1 (313601), Mm-Vegfa-Ch1 (405131), Mm-Vegfc-Ch1 (492701), Mm-Wnt9b-Ch1 (405091), Mm-WT1-Ch2 (432711-C2), Mm-Wntless-Ch1 (405011), and Mm-Apelin-Ch2 (415371-C2).
Volumetric immunofluorescence and light sheet imaging
Whole left median lobes were immunostained using a protocol adapted from the previously published iDisco protocol without Methanol pre-treatment14. The livers were perfused with fixative at the time of collection for thorough fixation. The perfusion was carried out by inserting a catheter connected to a perfusion pump through the inferior vena cava. Each liver was perfused with 10 ml PBS followed by 6 ml 4% paraformaldehyde. The samples were then fixed further in 4% paraformaldehyde overnight at 4 °C and washed in PBS (3 × 10 min). For iDisco pre-treatment, the samples were washed in PBS containing 0.2% TritonX-100, referred to as PTx.2 (1 h x 2), incubated in PTx.2 with 20% dimethyl sulfoxide overnight at 37 °C and then in PBS with 20% dimethyl sulfoxide containing a combination of detergents (0.1% Tween, 0.1% TritonX-100, 0.1% Deoxycholate, 0.1% NP40) overnight at 37 °C. The samples were washed in PTx.2 (1 h x 2) to complete the pre-treatment. For immunolabeling, the samples were incubated in permeabilization solution (PTx.2 containing 20% dimethyl sulfoxide and 2.3% glycine) for 2 days at 37 °C, in blocking solution (PTx.2 containing 10% dimethyl sulfoxide and 6% normal donkey serum) for 2 days at 37 °C, and in primary antibodies for a week at 37 °C. The primary antibodies were prepared in PBS containing 0.2% Tween20 and 10 µg/ml, referred to as PtwH, with 5% dimethyl sulfoxide and 3% normal donkey serum. The samples were then washed in PtwH (5 x 1 h) and left washing overnight. Next, the samples were incubated in secondary antibodies (prepared in PtwH containing 3% normal donkey serum) for a week at 37 °C followed by washes (5 x 1 h) and an overnight incubation in PtwH. The secondary antibodies used were raised in donkey and conjugated to Alexa Fluor 488, 555, or 647 (1:400; Jackson Immunoresearch Labs). These antibodies were centrifuged prior to diluting to avoid aggregates. For clearing, the samples were dehydrated in a methanol series with increasing concentration for 1 h each (20%, 40%, 60%, 80%, 100% x 2). The samples were left in 100% methanol overnight, and then incubated in 2:1 dichloromethane: methanol solution for 3 h. Finally, the samples were incubated in 100% dichloromethane for 15 min twice to rinse the methanol and transferred into dibenzyl ether in a completely filled tube. Except for this last step, all incubations were carried out in 4.5 ml solution volume. 5 ml Eppendorf tubes were used. For livers from 1-week-old pups, the samples were embedded in 1% agarose prepared in TAE buffer prior to clearing.
Whole liver lobe samples were imaged on a Miltenyi/LaVision Biotec Ultramicroscope II. Volumetric images were generated using the Imaris (Bitplane) software, version 10.0.0. Deconvolution was performed for improved visualization of volumetric images.
Antibodies
The following primary antibodies were used at indicated concentrations for the immunostaining of compresstome sections, iDisco whole lobe samples, or paraffin sections: goat anti-EPCR (R&D Systems, AF2749, 1:100), rat anti-Endomucin (Santa Cruz Biotech, sc-65495, 1:100), rabbit anti-phospho histone H3 (Milipore Sigma, 06-570, 1:100), mouse anti-Hepatocyte nuclear factor 4 alpha (Abcam, ab41898, 1:200), chicken anti-GFP (Abcam, ab13970, 1:500), rabbit anti-RFP (Rockland, 600-401–379, 1:200), rabbit anti-Sox9 (Millipore, AB5535, 1:100), rabbit anti-Lyve1 (Novus Biologicals, NB600-1008, 1:500), and rabbit anti-ERG (Abcam, ab110639, 1:200).
Image processing, analysis, and quantification
Tiled and stitched full-section confocal images of z-stacks (30–50 um) were converted into maximum projection images, and the projected images were used for further analyses unless otherwise noted below. Whole left median lobes were used in all experiments unless otherwise noted below or in the figure legends. Same thickness images were used across samples for quantification of cell numbers or the comparison of fluorescence intensity. Images used for comparison were acquired with the same imaging settings. For DAPI normalization, the DAPI-stained area was measured following intensity thresholding. For the presentation of EPCR and GFP immunostaining in figures, the images were despeckled in FIJI (ImageJ). On full liver section images in Figs. 1c, 2i, l, and Suppl. Fig. 4b, the autofluorescence signal due to trapped air bubbles outside of the tissue section was masked during figure assembly for presentation purposes. Image quantifications are described in detail below. Unless individual values were plotted as denoted in the figure legend, the average value derived from 2–3 sections of each sample was calculated and presented as a data point.
Lobule size quantification
EPCR-immunostained full liver section images were cropped into a single lobule size for all lobules identified. 140–210 lobules from a total of 3 sections per sample and from 3 mice at each age were analyzed in Fig. 1. In Wntlessmeso and NICDvenous litters, lobules were segregated based on location at the periphery or in the core. The images from each group were run through a custom MatLab script generated in this study to assess the number of nuclei and absolute area per lobule.
Quantification of lobule numbers
Volumetric iDisco samples immunostained for EPCR were used for the quantification of mature lobules in the left median lobe. The lobules were manually counted on FIJI (ImageJ). The mature lobule was defined as one with boundaries marked by EPCR immunostaining and a central vein lumen, which can be identified against the background tissue signal. It was empirically determined that lobule numbers quantified on sections accurately represent the total number of lobules when two samples are being compared, and thus the comparison of lobule numbers in Wntlessmeso and NICDvenous litters was performed on sections. 2–3 sections from 4 Wntlessmeso and 4 control littermates were analyzed. 2 sections from 5 NICDvenous mice and 7 control littermates were analyzed.
Edge measurements at neonatal ages
On EPCR-immunostained full liver section images, the EPCR-positive portal vessel structures closest to the edge of the section were manually traced and connected. This tracing partitioned a thin layer of tissue that constitutes the edge and the rest of the tissue that constitutes the core.
Periphery measurements at adulthood
On EPCR-immunostained full liver section images, the lobule boundaries were manually traced at one lobule distance along the outer edge of the liver lobe, counting three lobules up from the corner of the distal tip. In cases where the lobule hexagon is not complete at the section edge, it was counted as a lobule when the corresponding central vein is discernable.
Quantification of endothelial EdU incorporation
On EdU and ERG immunostained full liver sections, the two channels were separated in FIJI (ImageJ). This was followed by intensity thresholding and mask generation for each channel. The EdU and ERG masks were then combined via the AND function to identify the pixels positive for both EdU and ERG. Next, Analyze Particles function was applied at 6–25 size and 0.5–1.0 circularity thresholds to identify the nuclei positive for both, and separately to the ERG mask to identify all endothelial cell nuclei. The ratio of double positive nuclei to ERG positive nuclei was calculated and presented as percentage.
Quantification of mitosis
Phospho-histone H3 immunostained full liver section images were used. In FIJI (ImageJ), intensity thresholding and size filtering were applied to filter out noise. The same thresholds were used across samples under comparison. The “analyze particles” function of FIJI (ImageJ) was applied to the post-filtering images to identify the nuclei with pHH3 staining. The obtained numbers were normalized to the tissue area defined as the DAPI-stained area. The normalized numbers represent the mitotic or pHH3 index. Relative numbers were generated for plots by multiplying the DAPI-normalized ratio by 105 or 106 as denoted. To quantify the distribution of mitosis, a similar approach was used, accompanied by periphery identification. The corresponding EPCR-stained split image was used to identify the periphery as described above. The corresponding particle analysis image and the DAPI split image were both partitioned into the periphery and the complementary core in sync with the corresponding EPCR image. The number of particles was normalized to the corresponding DAPI-stained area for the periphery and the core separately, and the DAPI-normalized ratios were multiplied by 105 or 106, as denoted, to generate relative numbers for plots.
Quantification of hepatocyte mitosis
Phospho-histone H3 (pHH3) and hepatocyte nuclear factor 4-alpha (Hnf4a) immunostained full liver sections were used. The two channels were separated in FIJI (ImageJ), followed by intensity thresholding and size filtering to filter out noise. Next, masks were generated for each channel. For the pHH3 mask, Dilate, Close, and Erode functions were applied in this order to account for a spotty yet true signal. The final pHH3 mask and the Hnf4a mask were combined via the AND function to identify the pixels positive for both signals. Analyze Particles was applied to the combined image to identify the cells positive for both pHH3 and Hnf4a, and separately to the Hnf4a mask. The ratio of double-positive cells to Hnf4a-positive cells was calculated and presented as a percentage.
Hepatocyte clone size quantification
Hepatocyte clone size was assessed by manual cell counting on slices of z-stacks of RFP- and GFP-immunostained Tbx3CreERT2; Confetti or R26 CreERT2; Confetti samples in FIJI (ImageJ). For Tbx3CreERT2; Confetti, 126 clones in the core and 41 clones in the periphery from a total of 3 sections collected from 3 mice were analyzed. For R26 CreERT2; Confetti, 735 clones in the core and 928 clones in the periphery from a total of 3 sections collected from 3 mice were analyzed. Cells of the same color (RFP or GFP) and with the same reporter localization (nuclear, cytoplasmic, or membrane) within the empirically determined one-cell-distance were considered belonging to the same clone. Single cells were excluded from the analysis.
Endothelial clone size quantification
Endothelial clone size was assessed on maximum projection images of RFP-immunostained VE-CadherinCreERT2; Confetti samples. 457 (labeled at 1 day old) and 702 (labeled at 1 week old) clones from a total of 2–3 sections per sample and from 3 mice at each age were analyzed. Single cells were excluded from the analysis. The area of each clone was measured using a MATLAB script for endothelial clone area quantification generated in this study. Rarely, clones were erroneously called by the script due to high background in images and discarded post-data collection (0.6% error rate). The clones were then binned by area measurement, and the number of clones in each bin were plotted to represent clone size distribution. The irregular right tail of the histogram was used to identify rare, large clones, which were then defined as giant clones. For comparison of clone size between the core and the periphery, the same script was used in combination with EPCR-guided periphery identification. Out of 457 clones, 128 localized to the periphery, while 329 localized to the core. The periphery was manually traced using the corresponding EPCR-stained split images as part of the MATLAB script.
Labeling efficiency quantification
The labeling efficiency was measured by manually counting the number of labeling events on maximum projection images of RFP- and GFP-immunostained VE-CadherinCreERT2; Confetti samples in FIJI (ImageJ). The number of labeling events was defined as the sum of the number of single cells and the number of clones, where each clone is counted as one labeling event. This number was normalized to the tissue area defined as the DAPI-stained area. Relative numbers were generated for plots by multiplying the DAPI-normalized ratio by 106.
Quantification of central vein-derived clone size
The size of central-vein derived clones was assessed on maximum projection images of RFP- and GFP-immunostained ApelinCreERT2; Confetti samples. 70 clones in the core and 30 clones in the periphery from a total of 3 sections per sample and from 3 mice were analyzed. The cells were manually counted in FIJI (ImageJ). Single cells were excluded from the analysis (158 single cells out of 258 total labeling events).
Quantification of central vein-derived expansion
The extent of central vein-derived expansion was measured using intensity thresholding on maximum projection images of GFP-immunostained ApelinCreERT2; mTmG samples in FIJI (ImageJ). 1–3 sections from 3 mice at each age were analyzed. The GFP-stained area was normalized to the tissue area defined as the DAPI-stained area and plotted as a percentage. The number of veins with different central-vein derived expansion outcomes was manually evaluated on maximum projection images of GFP-immunostained ApelinCreERT2; mTmG samples in FIJI (ImageJ).
Quantification of portal vessel-derived clone size
The size of portal-vessel derived clones was assessed on maximum projection images of RFP- and GFP-immunostained Efnb2CreERT2; Confetti samples. Despite maximum Tamoxifen dosage, the labeling events in these mice remained very low. Assessment of 3 sections per sample from 3 mice yielded only 17 clones in the core and 8 clones in the periphery. The number of cells in these clones was manually assessed in FIJI (ImageJ). Single cells were excluded from the analysis (29 single cells out of 54 total labeling events).
Quantification of central vein labeling outcomes
The outcomes of central vein labeling were assessed manually on maximum projection images of RFP- and GFP-immunostained ApelinCreERT2; Confetti samples in FIJI (ImageJ). A total of 77 clones and 59 single cells from 1–3 sections per sample collected from 4 mice were analyzed.
Quantification of portal vessel-derived expansion
The extent of portal vessel-derived expansion was measured using intensity thresholding on maximum projection images of GFP-immunostained Efnb2CreERT2; mTmG samples in FIJI (ImageJ). 2 sections from 2 mice at each age were analyzed. The GFP-stained area was normalized to the tissue area defined as the DAPI-stained area and plotted as a percentage.
Quantification of the extent of vein-derived expansion in NICDvenous mice
The extent of vein-derived expansion was measured using intensity thresholding on maximum projection images of GFP-immunostained NICDvenous; mTmG and littermate samples in FIJI (ImageJ). 3 sections from 2 males and 2 females were analyzed, each for NICDvenous and control mice. The GFP-stained area was normalized to the tissue area defined as the DAPI-stained area and plotted as a percentage.
Statistical analyses
Statistical analyses were performed using Prism 9 (Graphpad Software 9.5.1). Unpaired t-test was applied to comparisons between two conditions with similar sample sizes except that of average sample readouts between the core and the periphery. The latter were analyzed using the ratio paired t-test. When comparing two conditions with different sample sizes (difference > 50%), Welch’s t-test was performed to account for different variances between datasets. Ordinary one-way Anova analysis and Tukey’s multiple comparisons test was applied to comparisons across more than two conditions unless variances differed. Brown-Forsythe Anova analysis and Dunnett’s multiple comparisons test were applied to comparisons across more than two datasets with differing variances. Liver size parameters were tested for litter effect based on a previously published method65 and, when litter effect was present, the statistical test result from two-way Anova replaced the one from the unpaired t-test. All tests were two-sided. P < 0.05 was considered statistically significant. The significance annotations are *p-value < 0.05, **p-value < 0.01, ***p-value < 0.001, ****p-value < 0.0001. Sample size was not predetermined with statistical methods. Previous studies using similar experimental approaches guided the decisions on sample size. The investigators were blinded during the treatment, collection, immunostaining, imaging, and quantification of Wntlessmeso and NICDvenous studies, and during the quantification of the number of lobules in wild types. The rest of the experiments were performed without blinding.
Reporting summary
Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article.
Data availability
Source data are provided with this paper.
Code availability
The custom Matlab script to quantify endothelial clone size and distribution has been deposited to Github and can be accessed at https://github.com/berfinazizoglu/Liver_Endothelial_Clones (https://doi.org/10.5281/zenodo.17095107)66.
References
Penzo-Mendez, A. I. & Stanger, B. Z. Organ-size regulation in mammals. Cold Spring Harb. Perspect. Biol. 7, a019240 (2015).
Zhao, Z. et al. Organoids. Nat. Rev. Methods Primers 2, https://doi.org/10.1038/s43586-022-00174-y (2022).
Park, D. et al. Integrating organs-on-chips: multiplexing, scaling, vascularization, and innervation. Trends Biotechnol. 38, 99–112 (2020).
O’Brien, L. E. et al. Opinion: building epithelial architecture: insights from three-dimensional culture models. Nat. Rev. Mol. Cell Biol. 3, 531–537 (2002).
Kowalczyk, W. et al. Hippo signaling instructs ectopic but not normal organ growth. Science 378, eabg3679 (2022).
Dong, J. et al. Elucidation of a universal size-control mechanism in Drosophila and mammals. Cell 130, 1120–1133 (2007).
Hariharan, I. K. Organ size control: lessons from Drosophila. Dev. Cell 34, 255–265 (2015).
Cox, A. G. et al. Yap reprograms glutamine metabolism to increase nucleotide biosynthesis and enable liver growth. Nat. Cell Biol. 18, 886–896 (2016).
West, G. B. et al. A general model for the origin of allometric scaling laws in biology. Science 276, 122–126 (1997).
Kam, I. et al. Evidence that host size determines liver size: studies in dogs receiving orthotopic liver transplants. Hepatology 7, 362–366 (1987).
Boulan, L. & Leopold, P. What determines organ size during development and regeneration? Development 148, https://doi.org/10.1242/dev.196063 (2021).
Kruepunga, N. et al. Anatomy of rodent and human livers: what are the differences?. Biochim Biophys. Acta Mol. Basis Dis. 1865, 869–878 (2019).
Baratta, J. L. et al. Cellular organization of normal mouse liver: a histological, quantitative immunocytochemical, and fine structural analysis. Histochem Cell Biol. 131, 713–726 (2009).
Renier, N. et al. iDISCO: a simple, rapid method to immunolabel large tissue samples for volume imaging. Cell 159, 896–910 (2014).
Jin, Y. et al. Wnt signaling regulates hepatocyte cell division by a transcriptional repressor cascade. Proc. Natl Acad. Sci. USA 119, e2203849119 (2022).
Ventura, A. et al. Restoration of p53 function leads to tumour regression in vivo. Nature 445, 661–665 (2007).
Kumar, R. et al. Induction of whole-body gene deletion via R26-regulated tamoxifen-inducible Cre recombinase activity. Front Pharm. 13, 1018798 (2022).
Tirziu, D. & Simons, M. Endothelium as master regulator of organ development and growth. Vasc. Pharm. 50, 1–7 (2009).
Korzh, S. et al. Requirement of vasculogenesis and blood circulation in the late stages of liver growth in zebrafish. BMC Dev. Biol. 8, 84 (2008).
Matsumoto, K. et al. Liver organogenesis is promoted by endothelial cells prior to vascular function. Science 294, 559–563 (2001).
Hu, J. et al. Endothelial cell-derived angiopoietin-2 controls liver regeneration as a spatiotemporal rheostat. Science 343, 416–419 (2014).
Onitsuka, I. et al. Characterization and functional analyses of hepatic mesothelial cells in mouse liver development. Gastroenterology 138, 1525–1535 (2010).
Lua, I. & Asahina, K. The Role of Mesothelial Cells in Liver Development, Injury, and Regeneration. Gut Liver 10, 166–176 (2016).
Ijpenberg, A. et al. Wt1 and retinoic acid signaling are essential for stellate cell development and liver morphogenesis. Dev. Biol. 312, 157–170 (2007).
Perugorria, M. J. et al. Wnt-beta-catenin signalling in liver development, health and disease. Nat. Rev. Gastroenterol. Hepatol. 16, 121–136 (2019).
Cao, Y. et al. Vascular endothelial growth factor C induces angiogenesis in vivo. Proc. Natl Acad. Sci. USA 95, 14389–14394 (1998).
Sorensen, K. K. et al. Liver sinusoidal endothelial cells. Compr. Physiol. 5, 1751–1774 (2015).
Murtaugh, L. C. et al. Notch signaling controls multiple steps of pancreatic differentiation. Proc. Natl Acad. Sci. USA 100, 14920–14925 (2003).
Leslie, J. D. et al. Endothelial signalling by the Notch ligand Delta-like 4 restricts angiogenesis. Development 134, 839–844 (2007).
De Bock, K. et al. Role of PFKFB3-driven glycolysis in vessel sprouting. Cell 154, 651–663 (2013).
Pitulescu, M. E. et al. Dll4 and Notch signalling couple sprouting angiogenesis and artery formation. Nat. Cell Biol. 19, 915–927 (2017).
Lu, P. et al. Perinatal angiogenesis from pre-existing coronary vessels via DLL4-NOTCH1 signalling. Nat. Cell Biol. 23, 967–977 (2021).
Chen, H. I. et al. The sinus venosus contributes to the coronary vasculature through VEGFC-stimulated angiogenesis. Development 141, 4500–4512 (2014).
Duan, J. L. et al. Endothelial Notch activation reshapes the angiocrine of sinusoidal endothelia to aggravate liver fibrosis and blunt regeneration in mice. Hepatology 68, 677–690 (2018).
Wohlfeil, S. A. et al. Hepatic endothelial notch activation protects against liver metastasis by regulating endothelial-tumor cell adhesion independent of angiocrine signaling. Cancer Res. 79, 598–610 (2019).
Bernier-Latmani, J. et al. Apelin-driven endothelial cell migration sustains intestinal progenitor cells and tumor growth. Nat. Cardiovasc Res 1, 476–490 (2022).
Chen, Q. et al. Apelin(+) endothelial niche cells control hematopoiesis and mediate vascular regeneration after myeloablative injury. Cell Stem Cell 25, 768–783.e766 (2019).
Helker, C. S. et al. Apelin signaling drives vascular endothelial cells toward a pro-angiogenic state. Elife 9, https://doi.org/10.7554/eLife.55589 (2020).
Liu, Q. et al. Genetic targeting of sprouting angiogenesis using Apln-CreER. Nat. Commun. 6, 6020 (2015).
Pi, J. et al. Apln-CreERT:mT/mG reporter mice as a tool for sprouting angiogenesis study. BMC Ophthalmol. 17, 163 (2017).
Yang, L. et al. Determination of key events in mouse hepatocyte maturation at the single-cell level. Dev. Cell 58, 1996–2010.e6 (2023).
Hartman, H. A. et al. Cessation of renal morphogenesis in mice. Dev. Biol. 310, 379–387 (2007).
Burri, P. H. Fetal and postnatal development of the lung. Annu Rev. Physiol. 46, 617–628 (1984).
Unterweger, I. A. et al. Lineage tracing identifies heterogeneous hepatoblast contribution to cell lineages and postembryonic organ growth dynamics. PLoS Biol. 21, e3002315 (2023).
Suksaweang, S. et al. Morphogenesis of chicken liver: identification of localized growth zones and the role of beta-catenin/Wnt in size regulation. Dev. Biol. 266, 109–122 (2004).
Michalopoulos, G. K. & Bhushan, B. Liver regeneration: biological and pathological mechanisms and implications. Nat. Rev. Gastroenterol. Hepatol. 18, 40–55 (2021).
Ma, R. et al. Metabolic and non-metabolic liver zonation is established non-synchronously and requires sinusoidal Wnts. Elife 9, https://doi.org/10.7554/eLife.46206 (2020).
Kawanishi, K. Diverse properties of the mesothelial cells in health and disease. Pleura Peritoneum 1, 79–89 (2016).
Gage, B. K. et al. Generation of functional liver sinusoidal endothelial cells from human pluripotent stem-cell-derived venous angioblasts. Cell Stem Cell 27, 254–269.e259 (2020).
Hen, G. et al. Venous-derived angioblasts generate organ-specific vessels during zebrafish embryonic development. Development 142, 4266–4278 (2015).
Zhang, H. et al. Genetic lineage tracing identifies the endocardial origin of liver vasculature. Nat. Genet 48, 537–543 (2016).
Geraud, C. et al. GATA4-dependent organ-specific endothelial differentiation controls liver development and embryonic hematopoiesis. J. Clin. Invest 127, 1099–1114 (2017).
Anbarchian, T. et al. Role of the Transcription Factor TBX3 in Liver Development. (Stanford University, 2021).
Wang, Y. et al. Ephrin-B2 controls VEGF-induced angiogenesis and lymphangiogenesis. Nature 465, 483–486 (2010).
Carpenter, A. C. et al. Generation of mice with a conditional null allele for Wntless. Genesis 48, 554–558 (2010).
Tian, X. et al. Subepicardial endothelial cells invade the embryonic ventricle wall to form coronary arteries. Cell Res 23, 1075–1090 (2013).
del Toro, R. et al. Identification and functional analysis of endothelial tip cell-enriched genes. Blood 116, 4025–4033 (2010).
Sheikh, A. Y. et al. In vivo genetic profiling and cellular localization of apelin reveals a hypoxia-sensitive, endothelial-centered pathway activated in ischemic heart failure. Am. J. Physiol. Heart Circ. Physiol. 294, H88–H98 (2008).
Cox, C. M. et al. Apelin, the ligand for the endothelial G-protein-coupled receptor, APJ, is a potent angiogenic factor required for normal vascular development of the frog embryo. Dev. Biol. 296, 177–189 (2006).
Connor, A. L. et al. Lymphatic endothelial lineage assemblage during corneal lymphangiogenesis. Lab Invest 96, 270–282 (2016).
Rocha, S. F. et al. Esm1 modulates endothelial tip cell behavior and vascular permeability by enhancing VEGF bioavailability. Circ. Res 115, 581–590 (2014).
Fowler, J. L. et al. Lineage-tracing hematopoietic stem cell origins in vivo to efficiently make human HLF+ HOXA+ hematopoietic progenitors from pluripotent stem cells. Dev. Cell 59, 1110–1131 e1122 (2024).
Lizen, B. et al. Perinatal induction of Cre recombination with tamoxifen. Trans. Res 24, 1065–1077 (2015).
Snippert, H. J. et al. Slide preparation for single-cell-resolution imaging of fluorescent proteins in their three-dimensional near-native environment. Nat. Protoc. 6, 1221–1228 (2011).
Jimenez, J. A. & Zylka, M. J. Controlling litter effects to enhance rigor and reproducibility with rodent models of neurodevelopmental disorders. J. Neurodev. Disord. 13, 2 (2021).
Azizoglu, D. et al. Vascularization of neonatal liver lobules presages adult liver size. GitHub https://doi.org/10.5281/zenodo.17095107 (2025).
Acknowledgments
This work was funded by the Howard Hughes Medical Institute, the Virginia and D.K. Ludwig Fund for Cancer Research (R.N.) and the Stinehart Reed Foundation (D.B.A., K.P.), and T32GM141828 (S.R.). We thank members of the Nusse lab, Arnaldo Carreira-Rosario, and John Vaughen for conceptual input for this work and critical review of the manuscript. We are grateful to Catriona Logan, additionally, for guidance and assistance with animal work and imaging. We thank Abby Sarkar for establishing and optimizing compresstome sectioning methods in the Nusse lab. We thank Gordon Wang for assistance with light sheet microscopy, which was made available by the Stanford Wu Tsai Neuroscience Microscopy Core through the NIH shared equipment grant 1S10OD025091-01. We are grateful to Ralf Adams, Alan Cheng, Darci Fink, and Bin Zhou for generously sharing key mouse lines for this work.
Author information
Authors and Affiliations
Contributions
D.B.A. and R.N. designed the experiments. D.B.A., K.P., S.R., T.A., and M.F. performed the experiments. D.B.A. and K.P. performed all experiments with the following exceptions: S.L.Z. and E.R. provided expertise in image analysis and generated Matlab scripts for the analyses of clone size and lobule size. S.R. performed the experiments outlined in Fig.2b, c. M.F. performed in situ hybridization experiments. T.A. characterized the Tbx3CreERT2 mouse line and provided key conceptual input from the earliest steps of this work. K.L. generated the crucial Efnb2CreERT2 line for this work and provided key conceptual input throughout this study. K.R. provided conceptual input central to the progress of this work. D.B.A. and R.N. wrote the manuscript with input from all co-authors. All authors read and approved the manuscript for submission. R.N. supervised the study.
Corresponding authors
Ethics declarations
Competing interests
R.N. is a board member of Bio-Techne and a member of the Scientific Advisory Board of Surrozen Inc. The other authors declare no other competing interests.
Peer review
Peer review information
Nature Communications thanks the anonymous reviewers for their contribution to the peer review of this work. A peer review file is available.
Additional information
Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary information
Source data
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Azizoglu, D.B., Perez, K., Zheng, S.L. et al. Vascularization of neonatal liver lobules presages adult liver size. Nat Commun 16, 9989 (2025). https://doi.org/10.1038/s41467-025-64930-w
Received:
Accepted:
Published:
Version of record:
DOI: https://doi.org/10.1038/s41467-025-64930-w








