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Modeling Sympetalous Corolla Formation (A) Initial cylindrical canvas representing primordial corolla ring at 6.5 DAI, with domains of expression used to establish growth patterns and polarity. BASE and DISTAL define regions at the proximal and distal ends of the cylinder, respectively. The proximal half of the cylinder expresses TUBE and the distal half LOBE. JUN is expressed at the petal junctions. (B) Uniform isotropic specified growth. Expression domains of TUBE, LOBE, and inter-whorl CUP (red) are shown at 10 DAI. (C) Repression of isotropic specified growth rate by CUP at petal junctions leads to formation of deep sinuses between petal primordia. (D) As in (C) except CUP expression inhibited by TUBE, leading to formation of shallow sinuses between petal primordia and a united tube. Cylinder slopes inward because of reduced circumferential growth caused by CUP. (legend continued on next page)

Modeling Sympetalous Corolla Formation (A) Initial cylindrical canvas representing primordial corolla ring at 6.5 DAI, with domains of expression used to establish growth patterns and polarity. BASE and DISTAL define regions at the proximal and distal ends of the cylinder, respectively. The proximal half of the cylinder expresses TUBE and the distal half LOBE. JUN is expressed at the petal junctions. (B) Uniform isotropic specified growth. Expression domains of TUBE, LOBE, and inter-whorl CUP (red) are shown at 10 DAI. (C) Repression of isotropic specified growth rate by CUP at petal junctions leads to formation of deep sinuses between petal primordia. (D) As in (C) except CUP expression inhibited by TUBE, leading to formation of shallow sinuses between petal primordia and a united tube. Cylinder slopes inward because of reduced circumferential growth caused by CUP. (legend continued on next page)

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Boundary domain genes, expressed within or around organ primordia, play a key role in the formation, shaping, and subdivision of planar plant organs, such as leaves. However, the role of boundary genes in formation of more elaborate 3D structures, which also derive from organ primordia, remains unclear. Here we analyze the role of the boundary doma...

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... this framework, tissue is treated as a connected continuous material, termed the canvas. We used a shallow cylinder to represent the corolla meristematic ring around the floral meristem at 6.5 DAI and subdivided it into four domains along the proximodistal axis: BASE, TUBE, LOBE, and DISTAL ( Figure 4A). We also subdivided each petal primordium along its mediolateral axis with JUN, which is ex- pressed at the lateral edges or junctions of each primordium. ...
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... first considered the effects of isotropic specified growth in the plane of the canvas. If areal specified growth rate was uni- form (Figure 4B, 6.5 DAI), the cylindrical canvas simply became enlarged ( Figure 4B, 10 DAI). Inter-whorl CUP expression was indicated at the corolla base (shown in red, Figure 4B, 10 DAI). ...
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... areal specified growth rate was uni- form (Figure 4B, 6.5 DAI), the cylindrical canvas simply became enlarged ( Figure 4B, 10 DAI). Inter-whorl CUP expression was indicated at the corolla base (shown in red, Figure 4B, 10 DAI). To account for the development of separate petals, we intro- duced repression of growth at the petal junctions, mediated by the action of CUP ( Figure 4C, 6.5 DAI). ...
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... CUP expression was indicated at the corolla base (shown in red, Figure 4B, 10 DAI). To account for the development of separate petals, we intro- duced repression of growth at the petal junctions, mediated by the action of CUP ( Figure 4C, 6.5 DAI). Running this model led to formation of divisions at the petal junctions ( Figure 4C, 10 DAI). ...
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... account for the development of separate petals, we intro- duced repression of growth at the petal junctions, mediated by the action of CUP ( Figure 4C, 6.5 DAI). Running this model led to formation of divisions at the petal junctions ( Figure 4C, 10 DAI). The depth of the divisions was reduced if junctional CUP was repressed in the tube region, corresponding to a gap in the CUP junctional domain ( Figure 4D, 6.5 DAI). ...
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... this model led to formation of divisions at the petal junctions ( Figure 4C, 10 DAI). The depth of the divisions was reduced if junctional CUP was repressed in the tube region, corresponding to a gap in the CUP junctional domain ( Figure 4D, 6.5 DAI). This led to the formation of an inwardly sloping corolla tube with sinuses between the lobes ( Figure 4D, 10 DAI). ...
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... depth of the divisions was reduced if junctional CUP was repressed in the tube region, corresponding to a gap in the CUP junctional domain ( Figure 4D, 6.5 DAI). This led to the formation of an inwardly sloping corolla tube with sinuses between the lobes ( Figure 4D, 10 DAI). The inward sloping (a passive effect of growth repression) could be reduced by inhib- iting growth of the canvas by BASE ( Figure 4E). ...
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... led to the formation of an inwardly sloping corolla tube with sinuses between the lobes ( Figure 4D, 10 DAI). The inward sloping (a passive effect of growth repression) could be reduced by inhib- iting growth of the canvas by BASE ( Figure 4E). Thus, if CUP acts by repressing growth, the generation of a sympetalous flower may reflect inhibition of CUP in a petal junction zone, allowing the non-expressing region to grow and form the tube. ...
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... analysis indicates that early petal growth is anisotropic, being higher parallel to the proximodistal axis than perpendicular to it [16]. To determine how this feature influences shape, we intro- duced a polarity field, with specified growth rate higher parallel to the polarity ( Figure 4F, 6.5 DAI). Running this model gave a taller and narrower cylinder than for the isotropic model ( Figure 4F Figure 4I). ...
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... determine how this feature influences shape, we intro- duced a polarity field, with specified growth rate higher parallel to the polarity ( Figure 4F, 6.5 DAI). Running this model gave a taller and narrower cylinder than for the isotropic model ( Figure 4F Figure 4I). This shape resembled the starting shape used for modeling corolla morpho- genesis (compare Figure 4I with Figure 5I, see also [16]). ...
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... determine how this feature influences shape, we intro- duced a polarity field, with specified growth rate higher parallel to the polarity ( Figure 4F, 6.5 DAI). Running this model gave a taller and narrower cylinder than for the isotropic model ( Figure 4F Figure 4I). This shape resembled the starting shape used for modeling corolla morpho- genesis (compare Figure 4I with Figure 5I, see also [16]). ...
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... this model gave a taller and narrower cylinder than for the isotropic model ( Figure 4F Figure 4I). This shape resembled the starting shape used for modeling corolla morpho- genesis (compare Figure 4I with Figure 5I, see also [16]). Although specified growth was only repressed in inter-whorl domains in these models, the deformation of tissue extended to nearby re- gions, illustrated by the deformation of an initially square grid near the sinus (magnified region in Figure 4I). ...
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... shape resembled the starting shape used for modeling corolla morpho- genesis (compare Figure 4I with Figure 5I, see also [16]). Although specified growth was only repressed in inter-whorl domains in these models, the deformation of tissue extended to nearby re- gions, illustrated by the deformation of an initially square grid near the sinus (magnified region in Figure 4I). The grid becomes curved and shows modified growth outside the CUP domain. ...
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... possibility is that sinus formation depends on not only growth repression at boundaries, but also growth promotion within the body of the pri- mordium. To model this hypothesis, specified growth parallel to the polarity was promoted in and around the midline of each petal primordium, using a mediolateral factor MED ( Figure 4J). Inward sloping of the corolla was also reduced by inhibiting growth by BASE as in previous models. ...
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... sloping of the corolla was also reduced by inhibiting growth by BASE as in previous models. Running this model gave five primordia separated by shallow sinuses ( Figure 4K). Expression of CUP throughout the petal junction, led to further sharpening and deepening of the sinuses ( Figure 4L). ...
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... this model gave five primordia separated by shallow sinuses ( Figure 4K). Expression of CUP throughout the petal junction, led to further sharpening and deepening of the sinuses ( Figure 4L). Repression of CUP in the tube region, gave a sympetalous corolla with five lobes (Fig- ure 4M). ...
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... of CUP throughout the petal junction, led to further sharpening and deepening of the sinuses ( Figure 4L). Repression of CUP in the tube region, gave a sympetalous corolla with five lobes (Fig- ure 4M). If CUP was maintained in only three junctions, by making its expression depend on factor RIGHT ( Figure 4N), an asymmetric corolla was generated with a lip region at sinuses where CUP was lacking (blue arrow). ...
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... of CUP in the tube region, gave a sympetalous corolla with five lobes (Fig- ure 4M). If CUP was maintained in only three junctions, by making its expression depend on factor RIGHT ( Figure 4N), an asymmetric corolla was generated with a lip region at sinuses where CUP was lacking (blue arrow). Thus, shaping and growth around sinuses may reflect a combination of growth repression at different bound- aries and promotion within primordia. ...
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... initial canvas corresponds to 10 DAI and comprises a cylinder with five lobes mediolateral [15,16]. CUP expression at early stages would contribute to shaping the early sympetalous corolla (illustrated in models of Figure 4), which is taken as a starting shape for the previously published model. This would be achieved by CUP expression at petal junctions being activated by mediolat- eral factors, which would act in combination with CUP to inhibit growth. ...
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... and signaling factors can be specified throughout the canvas. The distribution of factors is shown in Figures 4A and 4J. A growth regulatory network (KRN) controls the specified growth parallel (K par ) and perpendicular (K per ) to the local polarity, established by taking the gradient of a diffusible factor POLARIZER (POL). ...
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... growth regulatory network (KRN) controls the specified growth parallel (K par ) and perpendicular (K per ) to the local polarity, established by taking the gradient of a diffusible factor POLARIZER (POL). For anisotropic growth models, the polarity field is established by producing POL at the bottom of the canvas (through factor BASE) and fixing it to a low concentration at the top (through factor DISTAL). Figure 4N: CUP expression at a subset of junctions As for Figure 4M except that i jcup expression depends on factor RIGHT. ...
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... growth regulatory network (KRN) controls the specified growth parallel (K par ) and perpendicular (K per ) to the local polarity, established by taking the gradient of a diffusible factor POLARIZER (POL). For anisotropic growth models, the polarity field is established by producing POL at the bottom of the canvas (through factor BASE) and fixing it to a low concentration at the top (through factor DISTAL). Figure 4N: CUP expression at a subset of junctions As for Figure 4M except that i jcup expression depends on factor RIGHT. ...

Citations

... Although morphogenesis is a fascinating subject of plant research for over 100 years (Thompson, 1917), the interest of plant researchers in the formation of shapes has increased significantly in recent years. Regardless of whether the shapes of organs, ranging from ovules (Vijayan et al., 2021) to leaves (Bhatia et al., 2021;Kierzkowski et al., 2019;Zhao et al., 2020) and flowers (Rebocho et al., 2017), or isolated tissues such as leaf pavement cells and the shoot apical meristem (Hamant et al., 2008;Sampathkumar et al., 2019) or even unicellular models such as trichomes and root hairs are the matter of study, dynamic recording and quantification of growth processes are applied in almost all areas, which has given new impetus to the field of morphodynamics. In this context, the abundance of data and the ease of recording (by today) are rapidly saturating existing methods for describing and quantifying shapes. ...
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... Research combining genetics and computational simulation indicates that the cupshaped traps of the carnivorous plant Utricularia gibba are a result of restricted adaxial leaf side development [153,154]. Similarly, the ornate dragon snout-shaped flower of Antirrhinum is produced via petal separation led by altered expression of a boundary gene [155]. ...
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... Most studies into NAC transcription factors analyzed their function in root and leaf development and organ boundary formation [6][7][8][22][23][24][25]. However, in A. majus, the role of some NACs in the formation of the lip, the peculiar ventral petal of the snapdragon flower, was also explored. [15]. In this species, the cup mutant displays defects in the vegetative tissues, such as the cuc and nam mutants; it also shows an altered flower development. ...
... In particular, its corolla has an open mouth that lacks the folding characteristic of the palate and the lip regions. These mutant flowers lose bilateral symmetry, have similar petals, and their stamens are fused with the corolla tube [15,26]. CUP is a NAC transcription factor, and its involvement in flower formation was also described for Arabidopsis and Petunia [8,15,24]. ...
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... For example, when they differentiate in a tissue that is about to cease its expansion (such as the tip of the leaf or the anther), a stomata's fast growth may not be fully compensated for by the prolonged expansion of adjacent epidermal cells. In this case, differential growth between connected cells can generate mechanical conflicts that are able to alter rates and orientations of cellular growth (Echevin et al., 2019;Rebocho et al., 2017). The neighboring cells must physically accommodate this opposing behavior by either changing their geometry or specified growth rates to ensure reproducible development. ...
Article
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... Duplication of NAM and its chromosome position in the C. lavandulifolium genome indicated that NAM might be a special key gene in regulating the diverse capitula types of chrysanthemum. Protein interactions showed that these hub genes could interact with LFY, which has been proven to regulate ray floret development in Gerbera [31]. Previous studies supported the idea that the capitulum was derived from a cyme in which peripheral branches were inhibited [32]. ...
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... For Fig. S6, our results suggest that A-, B-, and C-class genes are involved in the petaloid formation, which is in agreement with previous studies. Deficiencies in inter-whorl boundaries can result in hybrid structures such as petal-stamens (Rebocho et al., 2017). The stamen petaloidy and carpel petaloidy in lotus may also be caused by defects in inter-whorl boundaries. ...
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... During the development, there are multiple possibilities to modulate these processes in terms of both space and time to generate diverse shapes Whitewoods et al., 2020). Furthermore, distinct developmental patterns can produce comparable geometries (Green et al., 1970;Coen et al., 2004;Rebocho et al., 2017;Solly et al., 2017). Therefore, it is impossible to understand organ development solely by observing their final shape. ...
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... As in the development of vegetative phyllotaxis, floral organs are initiated around a floral meristem, although there are many exceptions depending on species and/or developmental stages. Some specialized organ initiations are observed, such as the ring meristem, for example in Ranunculales (Becker 2016), a common primordium that further develops into multiple organ primordia, such as in Fabaceae (Tucker 2003), and early and late fusion of primordia, such as in Antirrhinum majus L. (Rebocho et al. 2017). ...
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Floral phyllotaxis is a relatively robust phenotype; trimerous and pentamerous arrangements are widely observed in monocots and core eudicots. Conversely, it also shows variability in some angiosperm clades such as ‘ANA’ grade (Amborellales, Nymphaeales, and Austrobaileyales), magnoliids, and Ranunculales. Regardless of the phylogenetic relationship, however, phyllotactic pattern formation appears to be a common process. What are the causes of the variability in floral phyllotaxis and how has the variation of floral phyllotaxis contributed to floral diversity? In this review, I summarize recent progress in studies on two related fields to develop answers to these questions. First, it is known that molecular and cellular stochasticity are inevitably found in biological systems, including plant development. Organisms deal with molecular stochasticity in several ways, such as dampening noise through gene networks or maintaining function through cellular redundancy. Recent studies on molecular and cellular stochasticity suggest that stochasticity is not always detrimental to plants and that it is also essential in development. Second, studies on vegetative and inflorescence phyllotaxis have shown that plants often exhibit variability and flexibility in phenotypes. Three types of phyllotaxis variations are observed, namely, fluctuation around the mean, transition between regular patterns, and a transient irregular organ arrangement called permutation. Computer models have demonstrated that stochasticity in the phyllotactic pattern formation plays a role in pattern transitions and irregularities. Variations are also found in the number and positioning of floral organs, although it is not known whether such variations provide any functional advantages. Two ways of diversification may be involved in angiosperm floral evolution: precise regulation of organ position and identity that leads to further specialization of organs and organ redundancy that leads to flexibility in floral phyllotaxis.