Cell Length Distribution Research Articles

Kinematic Growth Analysis of Rice (Oryza sativa) Leaf.

Rice leaves have a consistent spatial and temporal organization of cell division and expansion, which leads to typical cell length profiles along the longitudinal axis. The growth of rice leaves is usually studied during a steady-state period when leaf elongation rate is constant and the spatial distribution of cell length is temporally invariable. In this chapter, we define the steady-state period by analyzing the leaf elongation rate of leaf three in rice. During steady growth of leaf three, we determine the meristem size by identifying the epidermal cell files next to the stomatal files which are the distal position of meristem zone with confocal laser scanning microscopy. Meanwhile, we plot the cell length profiles along the longitudinal axis from which we directly determine the length of growing zone and mature cell size. Other cell division and expansion parameters such as cell division rate, cell cycle duration, and stain rate are calculated through indirect kinematic analysis.

Single-cell growth inference of Corynebacterium glutamicum reveals asymptotically linear growth.

Regulation of growth and cell size is crucial for the optimization of bacterial cellular function. So far, single bacterial cells have been found to grow predominantly exponentially, which implies the need for tight regulation to maintain cell size homeostasis. Here, we characterize the growth behavior of the apically growing bacterium Corynebacterium glutamicum using a novel broadly applicable inference method for single-cell growth dynamics. Using this approach, we find that C. glutamicum exhibits asymptotically linear single-cell growth. To explain this growth mode, we model elongation as being rate-limited by the apical growth mechanism. Our model accurately reproduces the inferred cell growth dynamics and is validated with elongation measurements on a transglycosylase deficient ΔrodA mutant. Finally, with simulations we show that the distribution of cell lengths is narrower for linear than exponential growth, suggesting that this asymptotically linear growth mode can act as a substitute for tight division length and division symmetry regulation.

The release of a distinct cell type from swarm colonies facilitates dissemination of Vibrio parahaemolyticus in the environment.

Bacteria experience changes in their environment and have developed various strategies to respond accordingly. To accommodate environmental changes, certain bacteria differentiate between specialized cell types. Vibrio parahaemolyticus is a marine bacterium, a worldwide human pathogen and the leading agent of seafood-borne gastroenteritis. It exists as swimmer or swarmer cells, specialized for life in liquid and on solid environments, respectively. Swarmer cells are characteristically highly elongated-a morphology important for swarming behavior. When attached to surfaces it forms swarm colonies, however, it is not known how cells within swarming populations respond to changes in the external milieu and how its distinct life cycle influences its ecological dissemination. The worldwide distribution of V. parahaemolyticus accentuates the need for understanding the factors contributing to its dissemination. Here we determine the stage-wise development of swarm colonies and show how the swarm colony architecture fluctuates with changing environmental conditions. Swarm colonies act as a continuous source of cells that are released from the swarm colony into the environment. Surprisingly, the cell length distribution of released cells was very homogenous and almost no long cells were detected, indicating that swarmer cells are not released into the liquid environment but stay surface attached during flooding. Released cells comprise a distinct cell type that is morphologically optimized for swimming behavior and is capable of spreading in the liquid environment and attach to new surfaces. Release of this distinct cell type facilitates the dissemination of V. parahaemolyticus in the environment and likely influences the ecology of this bacterium.

Ultrastructural Analysis of Cell Envelope and Accumulation of Lipid Inclusions in Clinical Mycobacterium tuberculosis Isolates from Sputum, Oxidative Stress, and Iron Deficiency.

Introduction: Mycobacteria have several unique cellular characteristics, such as multiple cell envelope layers, elongation at cell poles, asymmetric cell division, and accumulation of intracytoplasmic lipid inclusions, which contributes to their survival under stress conditions. However, the understanding of these characteristics in clinical Mycobacterium tuberculosis (M. tuberculosis) isolates and under host stress is limited. We previously reported the influence of host stress on the cell length distribution in a large set of clinical M. tuberculosis isolates (n = 158). Here, we investigate the influence of host stress on the cellular ultrastructure of few clinical M. tuberculosis isolates (n = 8) from that study. The purpose of this study is to further understand the influence of host stress on the cellular adaptations of clinical M. tuberculosis isolates.Methods: We selected few M. tuberculosis isolates (n = 8) for analyzing the cellular ultrastructure ex vivo in sputum and under in vitro stress conditions by transmission electron microscopy. The cellular adaptations of M. tuberculosis in sputum were correlated with the ultrastructure of antibiotic sensitive and resistant isolates in liquid culture, under oxidative stress, iron deficiency, and exposure to isoniazid.Results: In sputum, M. tuberculosis accumulated intracytoplasmic lipid inclusions. In liquid culture, clinical M. tuberculosis revealed isolate to isolate variation in the extent of intracytoplasmic lipid inclusions, which were absent in the laboratory strain H37Rv. Oxidative stress, iron deficiency, and exposure to isoniazid increased the accumulation of lipid inclusions and decreased the thickness of the cell envelope electron transparent layer in M. tuberculosis cells. Furthermore, intracytoplasmic compartments were observed in iron deficient cells.Conclusion: Our ultrastructural analysis has revealed significant influence of host stress on the cellular adaptations in clinical M. tuberculosis isolates. These adaptations may contribute to the survival of M. tuberculosis under host and antibiotic stress conditions. Variation in the cellular adaptations among clinical M. tuberculosis isolates may correlate with their ability to persist in tuberculosis patients during antibiotic treatment. These observations indicate the need for further analyzing these cellular adaptations in a large set of clinical M. tuberculosis isolates. This will help to determine the significance of these cellular adaptations in the tuberculosis treatment.

Influence of Stress and Antibiotic Resistance on Cell-Length Distribution in Mycobacterium tuberculosis Clinical Isolates.

Mycobacterial cellular variations in growth and division increase heterogeneity in cell length, possibly contributing to cell-to-cell variation in host and antibiotic stress tolerance. This may be one of the factors influencing Mycobacterium tuberculosis persistence to antibiotics. Tuberculosis (TB) is a major public health problem in developing countries, antibiotic persistence, and emergence of antibiotic resistance further complicates this problem. We wanted to investigate the factors influencing cell-length distribution in clinical M. tuberculosis strains. In parallel we examined M. tuberculosis cell-length distribution in a large set of clinical strains (n = 158) from ex vivo sputum samples, in vitro macrophage models, and in vitro cultures. Our aim was to understand the influence of clinically relevant factors such as host stresses, M. tuberculosis lineages, antibiotic resistance, antibiotic concentrations, and disease severity on the cell size distribution in clinical M. tuberculosis strains. Increased cell size and cell-to-cell variation in cell length were associated with bacteria in sputum and infected macrophages rather than liquid culture. Multidrug-resistant (MDR) strains displayed increased cell length heterogeneity compared to sensitive strains in infected macrophages and also during growth under rifampicin (RIF) treatment. Importantly, increased cell length was also associated with pulmonary TB disease severity. Supporting these findings, individual host stresses, such as oxidative stress and iron deficiency, increased cell-length heterogeneity of M. tuberculosis strains. In addition we also observed synergism between host stress and RIF treatment in increasing cell length in MDR-TB strains. This study has identified some clinical factors contributing to cell-length heterogeneity in clinical M. tuberculosis strains. The role of these cellular adaptations to host and antibiotic tolerance needs further investigation.

Absence of the Polar Organizing Protein PopZ Results in Reduced and Asymmetric Cell Division in Agrobacterium tumefaciens.

Agrobacterium tumefaciens is a rod-shaped bacterium that grows by polar insertion of new peptidoglycan during cell elongation. As the cell cycle progresses, peptidoglycan synthesis at the pole ceases prior to insertion of new peptidoglycan at midcell to enable cell division. The A. tumefaciens homolog of the Caulobacter crescentus polar organelle development protein PopZ has been identified as a growth pole marker and a candidate polar growth-promoting factor. Here, we characterize the function of PopZ in cell growth and division of A. tumefaciens Consistent with previous observations, we observe that PopZ localizes specifically to the growth pole in wild-type cells. Despite the striking localization pattern of PopZ, we find the absence of the protein does not impair polar elongation or cause major changes in the peptidoglycan composition. Instead, we observe an atypical cell length distribution, including minicells, elongated cells, and cells with ectopic poles. Most minicells lack DNA, suggesting a defect in chromosome segregation. Furthermore, the canonical cell division proteins FtsZ and FtsA are misplaced, leading to asymmetric sites of cell constriction. Together, these data suggest that PopZ plays an important role in the regulation of chromosome segregation and cell division.IMPORTANCEA. tumefaciens is a bacterial plant pathogen and a natural genetic engineer. However, very little is known about the spatial and temporal regulation of cell wall biogenesis that leads to polar growth in this bacterium. Understanding the molecular basis of A. tumefaciens growth may allow for the development of innovations to prevent disease or to promote growth during biotechnology applications. Finally, since many closely related plant and animal pathogens exhibit polar growth, discoveries in A. tumefaciens may be broadly applicable for devising antimicrobial strategies.

Understanding the Asymmetric MipZ Gradient in Caulobacter Crescentus

Caulobacter crescentus is a freshwater α-proteobacterium that divides into two asymmetric daughter cells. These curved, rod-shaped cells differ in their chromosome replication fates and in their cell length at division. C. crescentus divides into a replication-competent ‘stalked’ cell and a smaller, replication-quiescent ‘swarmer’ cell. The site of cell division is dictated by the polymerization of the eukaryotic tubulin homologue, FtsZ. MipZ is an essential ATPase and inhibitor of FtsZ polymerization. MipZ forms an intracellular bipolar gradient that directs FtsZ to the lowest concentration of MipZ, which is found slightly towards the new pole as opposed to the exact mid-cell. This localization bias leads to two differently sized daughter cells. To better understand how MipZ directs FtsZ to this off-center location, we employed single-particle tracking photoactivated localization microscopy (sptPALM) to characterize the diffusive states and transition state kinetics of MipZ. We then used deterministic and stochastic simulations with these biophysical parameters to recreate the asymmetric MipZ gradient in silico. These simulations produce a distribution of cell lengths after cell division similar to that observed in vivo. These studies provide more insight into the asymmetric division of C. crescentus, but further questions remain regarding the nature of the asymmetric division.

Mechanical Behavior of Cells within a Cell-Based Model of Wheat Leaf Growth.

Understanding the principles and mechanisms of cell growth coordination in plant tissue remains an outstanding challenge for modern developmental biology. Cell-based modeling is a widely used technique for studying the geometric and topological features of plant tissue morphology during growth. We developed a quasi-one-dimensional model of unidirectional growth of a tissue layer in a linear leaf blade that takes cell autonomous growth mode into account. The model allows for fitting of the visible cell length using the experimental cell length distribution along the longitudinal axis of a wheat leaf epidermis. Additionally, it describes changes in turgor and osmotic pressures for each cell in the growing tissue. Our numerical experiments show that the pressures in the cell change over the cell cycle, and in symplastically growing tissue, they vary from cell to cell and strongly depend on the leaf growing zone to which the cells belong. Therefore, we believe that the mechanical signals generated by pressures are important to consider in simulations of tissue growth as possible targets for molecular genetic regulators of individual cell growth.

Spatial and temporal analysis of non‐steady elongation of rice leaves

A precise knowledge of the temporal and spatial distributions of cell division and tissue expansion is essential for appropriate leaf sampling in omics studies and for analyses of plant-environment relations. Elongating leaves of rice were studied during their whole development for elongation rate, distribution of cell length, cell production rate and spatial distribution of growth in the leaf. In seven genotypes, the pattern of leaf elongation rate followed three phases: (1) an exponential increase before leaf appearance; (2) a short phase (2-4 d at 20 degrees C) with a stable leaf elongation rate around leaf appearance; and (3) a phase of 8-10 d with a progressive decrease in elongation rate. The profile of cell length along the leaf changed with time during the first and last phases, but was time invariant around appearance. We propose a method adapted to non-steady elongation based on anatomical measurements, which was successfully tested by comparing it with the pricking method. It allowed analysis of the change with time in the spatial distribution of growth from initiation to end of leaf growth. The length of leaf zones with cell division and tissue elongation varied with time, with maximums of 21 and 60 mm respectively around leaf appearance.

Unusual features of the cell cycle in mycobacteria: Polar-restricted growth and the snapping-model of cell division

Cell division patterns in mycobacteria have been examined in order to further our understanding of how these important organisms grow in the apparent absence of key systems required for the growth of rod-shaped bacteria. Analysis of the distribution of cell lengths in the population during different phases of growth showed that the modal cell length decreases during later phases of growth, declining from 3.5 to 2.5 microm for Mycobacterium bovis BCG cells sampled in log phase and stationary phase, respectively. The population also became more homogeneous, as indicated by the proportion of cells in the most common class increasing from 15% to 28%. Similar patterns were observed for Mycobacterium smegmatis and Mycobacterium tuberculosis. Consistent with other actinomycetes, and in contrast to most rod-shaped bacteria, the deposition of newly synthesised peptidoglycan in mycobacteria is restricted to the poles of the cell, as evidenced by staining with fluorescently labelled vancomycin. A "V-form" of bacteria was observed in cultures at all stages of growth, but the proportion decreased in older cultures. The V-shape appears to be a result of the uneven splitting of the exterior cell envelope at the new septum; this exposes the new peptidoglycan which is illustrated by spots of fluorescent vancomycin staining associated with the exterior side of the "V", and supports the 'snapping division model'. The restriction of growth to the poles of the cell differs from the pattern observed in other rod-shaped bacteria, in which the cell poles are inert and lateral growth occurs by deposition of peptidoglycan along the body of the cylinder. The mechanisms that maintain the shape of mycobacteria and that identify the mid-point for cell division remain to be determined.

Aging and gastrointestinal smooth muscle

The present review is an attempt to put into perspective the available information on the putative changes in cellular mechanisms of the contractile properties of the aging gastrointestinal (GI) smooth muscle. Information on smooth muscle of the GI tract is scanty. Smooth muscle cells from old rats (32 months old) exhibit limited cell length distribution and diminished contractility. The observed reduced contractile response may be due to the effect of aging on signal transduction pathways, especially an inhibition of the tyrosine kinase–Src kinase pathway, a reduced activation of the PKCα pathway, a reduced association of contractile proteins (HSP27-tropomyosin, HSP27-actin, and actin–myosin). Levels of HSP27-phosphorylation are also reduced compared to adult rats. Regulation of GI motility is a complex mechanism of signal transduction and interaction of signaling and contractile proteins. It is suggested that further studies to elucidate the role of HSP27 in aging smooth muscle of the GI tract are needed.

Diversity of cell lengths in intercalary meristem regions of grasses: location of the proliferative cell population

Intercalary meristems are responsible for the production of the majority of cells in stems. The overall objective of the present study was to determine (i) the boundaries of the proliferative parenchyma cells in the intercalary meristems and (ii) the proliferative capacity of cells in the intercalary meristems in stems of a species of Bambusa Schreb. (bamboo), Phragmites australis (Cav.) Trin. ex Steud., Triticum aestivum L., and Zea mays L. Data show that lengths of parenchyma cells within proliferative portions of intercalary meristems were not the same for all intercalary meristems of a species. Lengths of elongated parenchyma cells in internodes were relatively similar among internodes of a species, but lengths of elongated parenchyma cells in internodes were not similar among the four grass species tested. For example, cell lengths of elongated parenchyma cells in internodes of P. australis ranged from 14.8 to 23.0 µm, very different from lengths of elongated cells in Bambusa sp. (69.1–75.4 µm). The number of proliferative cells in most files of intercalary meristems of Bambusa was less than 15. For many of the intercalary meristems of P. australis, the intercalary meristem consisted of 10–25 cells in each file. Fourth intercalary meristems of T. aestivum and Z. mays consisted of 20 and 25 cells in files, respectively. Data showed that none of the cell populations of the intercalary meristems of four species exhibited an exponential cell length distribution. In general, less than half of the 10 groups of cells had percentages of cells that resembled an exponential cell-age distribution. These data lead to the conclusion that not all parenchyma cells of intercalary meristems are rapidly proliferating. Also, potentially prolifera tive cells (short cells) of the intercalary meristems may not be localized into a specific zone but are more scattered throughout the nodal region.Key words: intercalary meristems, proliferative cell populations, Gramineae, cell lengths.

Aging and neural control of the GI tract: V. Aging and gastrointestinal smooth muscle: from signal transduction to contractile proteins.

The object of this theme is to offer new perspectives on the effect of aging on signal-transduction pathways associated with agonist-induced contraction of smooth muscle cells from the colon. Smooth muscle cells from old rats (32 mo old) exhibit limited cell length distribution and diminished contractility. The observed reduced contractile response may be due to the effect of aging on signal-transduction pathways, especially an inhibition of the tyrosine kinase-Src kinase pathway, a reduced activation of the PKC pathway, and a reduced association of contractile proteins [heat shock protein 27 (HSP27)-tropomyosin, HSP27-actin, actin-myosin]. Levels of HSP27 phosphorylation are also reduced compared with adult rats.

DNA methylation affects the cell cycle transcription of the CtrA global regulator in Caulobacter.

The Caulobacter chromosome changes progressively from the fully methylated to the hemimethylated state during DNA replication. These changes in DNA methylation could signal differential binding of regulatory proteins to activate or repress transcription. The gene encoding CtrA, a key cell cycle regulatory protein, is transcribed from two promoters. The P1 promoter fires early in S phase and contains a GAnTC sequence that is recognized by the CcrM DNA methyltransferase. Using analysis of CcrM mutant strains, transcriptional reporters integrated at different sites on the chromosome, and a ctrA P1 mutant, we demonstrate that transcription of the P1 promoter is repressed by DNA methylation. Moreover moving the native ctrA gene to a position near the chromosomal terminus, which delays the conversion of the ctrA promoter from the fully to the hemimethylated state until late in the cell cycle, inhibited ctrA P1 transcription, and altered the time of accumulation of the CtrA protein and the size distribution of swarmer cells. Together, these results show that CcrM-catalyzed methylation adds another layer of control to the regulation of ctrA expression.

What the Distribution of Cell Lengths in the Root Meristem Does and Does Not Reveal About Cell Division.

Roots have long been realized to be useful material for studies of cell division. Despite this long history of use, the behavior of cells in the meristem is often misinterpreted. A common error is to argue that differences in cell length reflect differences in cell division rate. In this article we explain the fallacy behind this argument and show how the analysis of cell length distribution can lead to insight about the root meristem. These observations support a model for the root meristem where cells of various tissues grow at the same relative growth rate and divide at the same frequency, indicating that these growth parameters are built into the cells at a fundamental level. The differences in cell length between various tissues appear to arise at their formation, first at the tissue initials and ultimately in the seed. Length differences among mature cells may be enhanced by differences in the location within the meristem where division ceases. Discovering mechanisms regulating the length of initial cells and the position where cells cease division requires a realistic understanding of how growth constrains the division behavior of dividing cells.

Swimming characteristics of magnetic bacterium, Magnetospirillum sp. AMB-1, and implications as toxicity measurement.

To develop a novel toxicity measurement system using the persistent swimming property of magnetic bacteria along an externally applied magnetic field, certain characteristics of Magnetospirillum sp. AMB-1 cells were examined, including their growth pattern, motility, magnetosensitivity, swimming speed, and cell length distribution. In addition, the effect of toxic compounds on the swimming speed was assessed relative to application as a toxicity sensor. With an inoculum of 1.0 x 10(8) cells/mL, the cells reached the stationary phase with a concentration of about 5 x 10(8) cells/mL after 20 h, under both aerobic and anaerobic conditions. The distribution of the cell length did not vary significantly during the growth period, and both aerobically and anaerobically growing cells showed a similar cell length distribution. Although the cells showed similar growth patterns under both conditions, the anaerobically grown cells exhibited higher motility and magnetosensitivity. Actively growing cells under anaerobic conditions had an average swimming speed of 49 microm/s with a standard deviation of 20 microm/s. When the anaerobically growing cells were exposed to various concentrations of toxic compounds, such as 1-propanol and acetone, the swimming speed decreased with an increased concentration of the toxic compound. Accordingly, the relationship between swimming speed and toxicity can be used as an effective quantitative toxicity measurement; furthermore, the relative sensitivity of the proposed system was comparable to Microtox, which is commercially available.

Diversity of cell lengths in terminal portions of roots: implications to cell proliferation

Terminal meristems are responsible for all primary growth of roots. It has been asserted that all cells of root meristems are actively dividing (no cells cycle slowly or arrest in the cycle) and stem cell populations expand exponentially. Because cells do not slide relative to each other in roots, relative cell lengths may be used to determine relative cell cycle durations and/or proportions of cells actively dividing in root tissues. If all cells are cycling, no interphase cells should be longer than critical length (length of longest mitotic cell in the meristem) and cells should exhibit an exponential cell–age distribution. Lengths of all cells were obtained radially across entire median longitudinal root sections at 0.5, 1.0, 1.5, 2.0, 2.5 and 3.0 mm from the founder cell/root cap boundary for five plant species to estimate percentages of cells longer than critical length. For example, up to 15 and 90% of all interphase cells were longer than critical length in 0.5 and 2.0 mm tissues, respectively, indicating that slow-cycling and/or non-proliferative cells are present in such tissues. In order to determine if the distribution of cell lengths in 0.5 mm segments approximated an exponential cell–age distribution, lengths of interphase cells less than critical length were determined. Such interphase cells were placed into ten groups according to cell length and percentages of cells in each group were compared with percentages of cells in groups calculated from an exponential cell–age distribution. Percentages of cells were significantly different from predicted percentages of between 6 and 9 out of ten groups — cell lengths were not distributed exponentially. Because there are significant numbers of interphase cells longer than critical length and since lengths of interphase cells shorter than critical length do not resemble an exponential cell–age distribution, it must be concluded that not all cells in root segments from 0.5 to 3.0 mm root segments are actively dividing. Heretofore, no databases of cell lengths have been used to test these assertions.

A New Mathematical Approach Predicts Individual Cell Growth Behavior using Bacterial Population Information

A theoretical methodology has been developed for studying the growth kinetics of bacterial cells. It utilizes the steady-state cell length distribution in a bacterial population to predict the dependency of growth and division rates on cell length and age. The mathematical model has been applied to the analysis of two bacterial populations, a wild-type strain ofBacillus subtilis , and a minicell-producing strain that carries the divIVB1 mutation. The results show that our model describes the wild-type population very well and that the assumptions typically used in traditional methods are unrealistic. In the case of the minicell-producing mutant we find evidence that the rate of cell division must be a function not only of cell size but also of cell age.

Grazing Pressure by a Bacterivorous Flagellate Reverses the Relative Abundance of Comamonas acidovorans PX54 and Vibrio Strain CB5 in Chemostat Cocultures

The response of the bacterial strains Comamonas acidovorans PX54 (beta subclass of the class Proteobacteria) and Vibrio strain CB5 (gamma subclass of the class Proteobacteria) to grazing by the bacterivorous flagellate Ochromonas sp. was examined in one-stage chemostat experiments under conditions of low growth rates with a complex carbon source. The two bacterial strains were cultured together; they were cultured without flagellates in the first phase of the experiments and in the presence of the flagellates in the second phase. Monoclonal and polyclonal antibodies were used to determine the numbers and sizes of C. acidovorans PX54 and Vibrio strain CB5 cells. The flagellates caused strong changes in total bacterial cell numbers, in the relative abundances of the individual bacterial strains, and in bacterial cell size distribution. Vibrio strain CB5 dominated the total bacterial cell numbers during the flagellate-free phase of the experiments with a relative abundance of 93%, but this declined to 33% after inoculation with the flagellate. In contrast to Vibrio strain CB5, C. acidovorans PX54 responded to grazing with a strong expansion of cell length distribution toward large, filamentous cells. These changes in cell morphology resulted in a high percentage of inedible cells in the C. acidovorans PX54 population but not in the Vibrio strain CB5 population, which caused the observed change in the relative abundances of the strains. Batch culture experiments without the flagellate demonstrated that the elongation of C. acidovorans PX54 cells was dependent on their growth rate. This indicates that the occurrence of filamentous C. acidovorans PX54 cells is not a direct response to chemical stimuli released by the flagellates but rather a response to increased growth rates due to flagellate grazing.

Temperature Affects Expansion Rate of Maize Leaves without Change in Spatial Distribution of Cell Length (Analysis of the Coordination between Cell Division and Cell Expansion).

We have analyzed the way in which temperature affects leaf elongation rate of maize (Zea mays L.) leaves, while spatial distributions (observed at a given time) of cell length and of proportion of cells in DNA replication are unaffected. We have evaluated, in six growth chamber experiments with constant temperatures (from 13 to 34[deg]C) and two field experiments with fluctuating temperatures, (a) the spatial distributions of cell length and of leaf elongation rate, and (b) the distribution of cell division, either by using the continuity equation or by flow cytometry. Leaf elongation rate was closely related to meristem temperature, with a common relationship in the field and in the growth chamber. Cell division and cell elongation occurred in the first 20 and 60 mm after the ligule, respectively, at all temperatures. Similar quantitative responses to temperature were observed for local cell division and local tissue expansion rates (common x intercept and normalized slope), and both responses were spatially uniform over the whole expanding zone (common time courses in thermal time). As a consequence, faster cell elongation matched faster cell division rate and faster elongation was compensated for by faster cell displacement, resulting in temperature-invariant profiles of cell length and of proportion of dividing cells. Cell-to-cell communication, therefore, was not necessary to account for coordination.